Advanced Adsorbents with High Selectivity and Enhanced Capacity for Use in Next Generation Separation Processes Shamsur Rahman Master of Applied Science in Mechanical Engineering Bachelor of Engineering in Mechanical Engineering (Honours) This thesis is presented for the degree of Doctor of Philosophy at The University of Western Australia Department of Chemical Engineering Fluid Science and Resources Division Australian Centre for LNG Futures 2020
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Advanced Adsorbents with High Selectivity and Enhanced
Capacity for Use in Next Generation Separation Processes
Shamsur Rahman
Master of Applied Science in Mechanical Engineering Bachelor of Engineering in Mechanical Engineering (Honours)
This thesis is presented for the degree of
Doctor of Philosophy
at
The University of Western Australia
Department of Chemical Engineering
Fluid Science and Resources Division
Australian Centre for LNG Futures
2020
PhD Thesis Shamsur Rahman 1
Summary
The use of natural gas, the cleanest fossil fuel, continues to grow for global energy production with
increasing environmental concerns and stricter regulations on carbon emissions. For a large fraction
of transcontinental trade, natural gas is transported in tankers as liquefied natural gas (LNG). Since
CO2 can freeze at low temperatures during the liquefaction process and excessive N2 content in the
LNG can lead to hydrostatic instabilities, both N2 and CO2 concentrations must be reduced significantly
(CO2<50 ppmv and N2<1 mol%) from their typical levels (e.g. 10 % CO2 and 5+ % N2) in the feed gas to
an LNG plant. The conventional method used to remove CO2 from natural gas involves absorption by
aqueous amine solutions, which is an energy‐intensive process requiring high temperatures to
regenerate the amine solvents. Nitrogen is generally removed from natural gas by the process of
cryogenic distillation, which is also energy intensive and only cost effective at large scales. Alternative
separation processes are sought by the natural gas industry to more efficiently handle these key
impurities.
Pressure swing adsorption (PSA) is a promising technology that is both cost‐effective and energy‐
efficient and can potentially replace amine absorption and cryogenic distillation as separation
processes for CO2 and N2, respectively, in LNG production. However, this technology relies on the
availability of adsorbents with high capacity and selectivity for the target gas molecules specific to the
separation application and the gas mixture being considered. Zeolites and activated carbon are two
of the common materials used as adsorbents in PSA cycles. These conventional materials are limited
in their ability to achieve the required separations because their selectivities and/or capacities are
usually insufficient for cost‐effective use in large‐scale separations. To overcome this limitation, a
novel zeolite‐based adsorbent, with significantly enhanced adsorption capacity, was developed from
a commercially available variant of a faujasite type zeolite Y.
PhD Thesis Shamsur Rahman 2
The synthesis procedure involved treating zeolite powder, premixed with 10% by mass of activated
carbon, in an alkaline medium which caused an expansion of the intra‐crystalline zeolite cavities
through desilication leading to a gain in pore volume. This expansion is likely to allow a larger number
of gas molecules to be accommodated inside the zeolite and provide favourable conditions for
multilayer adsorption. The role of the exterior carbon layer is to possibly facilitate in keeping the gas
molecules entrapped inside the adsorbent material and prevent from exiting at high pressure. The
resulting material, termed a carbon enhanced zeolite (CEZ), demonstrated a 265% gain in pure
component isothermal N2 adsorption capacity compared to the parent zeolite at 35 bar and 30 °C.
Flexible porous materials, in particular some metal‐organic frameworks (MOFs), have been reported
to have very high selectivity for CO2/CH4 mixtures and are therefore widely considered as potential
adsorbents for removal of CO2 from natural gas using PSA. Despite their high selectivity, a major
obstacle that remains in designing a separation process using these advanced adsorbents is that
classical isotherm models such as the Langmuir, Toth and the BET models are unable to quantify the
adsorption isotherms of these materials, especially along the part of the isotherm curve that
corresponds to structural transitions. A novel isotherm model was therefore developed to
accommodate these distinctly shaped isotherms exhibited by flexible adsorbents.
The model was successfully regressed to both adsorption and desorption branches of stepped‐
isotherms using a wide range of experimental data from the literature as well as measurements taken
at the laboratory over a wide range of temperatures from 233 K – 323 K. The model parameters were
physically meaningful with uncertainties usually several orders of magnitude lower than the regressed
values. It was also shown that the model can be used to quantify the onset and magnitude of
hysteresis in flexible adsorbents as a function of both pressure and temperature. Finally, the functional
form was incorporated in a commercial simulation software as an isotherm model and PSA cycles to
predict the performance of a well‐known flexible MOF in separating a CH4/CO2 mixture were
successfully executed.
PhD Thesis Shamsur Rahman 3
To summarize, this research project has made two key contributions, involving material development
and numerical modelling, to the field of adsorptive separation of gas mixtures. By developing carbon
enhanced zeolite as an adsorbent with significantly enhanced N2 and CH4 adsorption capacities, the
experimental results of this project open new doors to synthesis of low‐cost high capacity zeolite‐
based adsorbents with applications not only in gas separation but also in gas storage. The pressure‐
induced LJM model, on the other hand, enables process simulations with high‐selectivity flexible
adsorbents and is a major step forward towards the design of separation processes that can make full
use of the selective properties of these materials.
PhD Thesis Shamsur Rahman 4
Thesis Declaration
I, Shamsur Rahman, certify that:
This thesis has been substantially accomplished during enrolment in the degree.
This thesis does not contain material which has been submitted for the award of any other degree or
diploma in my name, in any university or other tertiary institution.
No part of this work will, in the future, be used in a submission in my name, for any other degree or
diploma in any university or other tertiary institution without the prior approval of The University of
Western Australia and where applicable, any partner institution responsible for the joint‐award of this
degree.
This thesis does not contain any material previously published or written by another person, except
where due reference has been made in the text and, where relevant, in the Declaration that follows.
The work(s) are not in any way a violation or infringement of any copyright, trademark, patent, or
other rights whatsoever of any person.
This thesis contains published work and/or work prepared for publication, some of which has been
co‐authored.
25/05/2020
PhD Thesis Shamsur Rahman 5
Authorship Declaration
This thesis contains published work and work prepared for publication.
The content of Appendix C has been published in the following refereed journal:
Du, T., Fang, X., Liu, L., Shang, J., Zhang, B., Wei, Y., Gong, H., Rahman, S., May, E.F., Webley, P.A. and
Li, G.K., 2018. An optimal trapdoor zeolite for exclusive admission of CO2 at industrial carbon capture
operating temperatures. Chemical Communications, 54(25), pp.3134‐3137.
My contribution to the above publication was limited to: equipment procurement and maintenance,
implementing upgrades to the experimental apparatus, setting up and running experiments, and data
List of Figures ........................................................................................................................................ 11
List of Tables ......................................................................................................................................... 23
Appendix A .......................................................................................................................................... 141
A1 ‐ Development of the pressure‐induced LJM model ................................................................. 141
A2 ‐ Parameters for the pressure‐induced LJM model ................................................................... 144
A3 ‐ Summary of best‐fit parameters of the pressure‐induced LJM model and their associated
A5 ‐ Simulation of the dynamic breakthrough of an equimolar CO2/CH4 mixture ......................... 148
A6 ‐ Regression of CH4 and CO2 adsorption isotherms on Zeolite 13X using the Toth Isotherm
model .............................................................................................................................................. 151
Appendix B .......................................................................................................................................... 154
B1 ‐ Effect of carbon‐content .......................................................................................................... 154
B2 ‐ Effect of NaOH concentration ................................................................................................. 155
B4 – Pore size distribution (based on pore volume) ....................................................................... 159
B5 – High resolution TEM images ................................................................................................... 160
Appendix C .......................................................................................................................................... 164
Appendix D .......................................................................................................................................... 178
D2 ‐ Temperature Dependence of Adsorption Hysteresis in Flexible Metal Organic Frameworks 178
DS ‐ Supporting Information (SI) ..................................................................................................... 190
DS1 ‐ Derivation of the LJMY model for stepped sorption isotherms ........................................ 190
DS2 ‐ Results of LJMY‐Langmuir model regression to MOF isotherm data ................................ 193
DS3 ‐ Measurements of CO2 sorption on ZIF‐7 ........................................................................... 201
DS4 ‐ Temperature dependence and hysteresis of structural transition parameters ................ 206
DS5 ‐ Pressure Vacuum Swing Adsorption simulation of a CH4/CO2 mixture with ZIF‐7 ............ 209
Appendix E .......................................................................................................................................... 215
E1 – Data table for experimental data presented in Figure 2.1 and Figure 2.13 ............................ 215
E2 – Data table for experimental data presented in Figure 2.3...................................................... 218
E3 – Data table for experimental data presented in Figure 2.8...................................................... 226
E4 – Data table for experimental data presented in Figure 2.9 and Figure 2.10 ............................ 232
E5 – Data table for experimental data presented in Figure 2.11 ................................................... 238
E6 – Data table for all experimental isotherm data presented in Chapter 3 .................................. 244
E7 – Data table for all experimental isotherm data presented in Chapter 4 .................................. 264
Figure 3.7. Adsorption isotherms of TMAY and parent zeolite NaY at (a) 0 °C with CH4, (b) 0 °C with N2,
(c) 30 °C with CH4 and (d) 30 °C with N2................................................................................................ 90
Figure 3.8. Adsorption isotherms of degassed and not degassed TMAY at (a) 0 °C with CH4, (b) 30 °C
with CH4. ............................................................................................................................................... 91
Figure 3.9. (a) Shaking water bath used for synthesis temperatures below 90 °C (b) Teflon autoclave
and electric hotplate used for synthesis temperatures above 90 °C. ................................................... 92
Figure 3.10. Adsorption isotherms of TMAY, TMA‐Mg‐Y and NaY at (a) 0 °C with CH4, (b) 0 °C with N2,
(c) 30 °C with CH4, and (d) 30 °C with N2. .............................................................................................. 93
Figure 3.11. Adsorption isotherms of TMAY, TMA‐Base‐Y and NaY at (a) 0 °C with CH4 and (b) 0 °C with
Figure 3.12. Adsorption isotherms of TMAY, TMAOH‐NaY and NaY at (a) 0 °C with CH4, (b) 0 °C with N2,
(c) 30 °C with CH4, and (d) 30 °C with N2. .............................................................................................. 96
Figure 3.13. Adsorption isotherms of TMAY, TMAOH‐HY600 and TMAOH‐HY400 at (a) 0 °C with CH4,
and (b) 0 °C with N2. .............................................................................................................................. 97
Figure 3.14. Adsorption isotherms of TMAY and TMAOH‐HY400 at (a) 30 °C with CH4 and (b) 30 °C with
nanotubes, (c) carbon aerogel and (d) 3D ordered mesoporous 3DOm carbon [31]. ....................... 100
Figure 3.16. Schematic showing the influence of Si/Al ratio on the desilication effect of MFI zeolites
treated in NaOH solution and the associated mechanism of mesopore formation [103]. ............... 101
Figure 3.17. Adsorption isotherms of carbon (activated carbon Norit RB3), Acid‐Carbon1 and TMA‐
Carbon1 at (a) 0 °C with CH4 and (b) 0 °C with N2. .............................................................................. 104
PhD Thesis Shamsur Rahman 16
Figure 3.18. Adsorption isotherms of carbon (activated carbon Norit RB3), Acid‐Carbon2 and TMA‐
Carbon2 at (a) 0 °C with CH4 and (b) 0 °C with N2. .............................................................................. 104
Figure 3.19. Adsorption isotherms of carbon (activated carbon Norit RB3) and TMA‐Carbon3 at (a) 0
°C with CH4 and (b) 0 °C with N2. ........................................................................................................ 106
Figure 3.20. Adsorption isotherms of carbon (activated carbon Norit RB3) and TMA‐Carbon4 at (a) 0
°C with CH4 and (b) 0 °C with N2. ........................................................................................................ 107
Figure 3.21. Adsorption isotherms of carbon (activated carbon Norit RB3) and TMA‐AcidBaseCarbon
at (a) 0 °C with CH4 and (b) 0 °C with N2. ............................................................................................ 109
Figure 3.22. Adsorption isotherms of activated carbon and Base‐Carbon at (a) 0 °C with CH4 and (b) 0
°C with N2. ........................................................................................................................................... 110
Figure 3.23. Schematic showing pore opening of functionalised carbon surface under increased
oxidation temperature and duration [108]. ....................................................................................... 111
Figure 3.24. Adsorption isotherms of activated carbon, TMA‐APS‐Carbon, and APS‐Carbon at (a) 0 °C
with CH4 and (b) 0 °C with N2. ............................................................................................................. 112
Figure 3.25. Adsorption isotherms of activated carbon, Carbon‐E‐TMAY1, TMAY and NaY at (a) 0 °C
with CH4, (b) 0 °C with N2, (c) 30 °C with CH4 and (d) 30 °C with N2. .................................................. 113
Figure 4.1. Results of Thermogravimetric analysis conducted on (a) NaY, (b) C‐R2030 and (c) CEZ. The
red line shows the change in mass of the sample with the corresponding change in temperature (blue
Figure 4.2. X‐ray Diffraction (XRD) patterns for NaY and CEZ. ............................................................ 120
PhD Thesis Shamsur Rahman 17
Figure 4.3. Setup of the Sieverts apparatus used to conduct high pressure sorption experiments. The
sample cell is wrapped in aluminium foil for insulation and submerged into the temperature control
bath during experiments to maintain isothermal conditions, as shown in the inset. ........................ 122
Figure 4.4. Single component N2 adsorption isotherms for CEZ, C‐R2030 and NaY obtained using a
custom‐built computer‐controlled Sieverts apparatus under isothermal conditions at (a) 0 °C, (b) 15 °C
and (c) 30 °C. ....................................................................................................................................... 123
Figure 4.5. Single component CH4 adsorption isotherms for CEZ, C‐R2030 and NaY obtained using a
custom‐built computer‐controlled Sieverts apparatus under isothermal conditions at (a) 0 °C, (b) 15 °C
and (c) 30 °C. ....................................................................................................................................... 124
Figure 4.6. A model of the Faujasite unit cell. Near the centre of each line segment is an oxygen atom.
Silicon and aluminium atoms alternate at the tetrahedral intersections, except that Si substitutes for
Al at about 4% of the Al positions. Exchangeable cations are found in site I at the centre of a D6R ; site
II at the centre of the S6R, or displaced from this point into a supercage; sites I’ and II’ lie in the sodalite
cavity, on the opposite sides of the corresponding six‐rings from sites I and II, respectively; site III on
a twofold axis opposite a four‐ring inside the supercage and site III’ off site III. The eighth sodalite
cavity was removed from this diagram for simplicity and it is orthogonal to the surface of this paper.
Both figure and caption text are from Ahmed et al. [119]. ................................................................ 126
Figure 4.7. Schematics showing (a) the arrangement of Faujasite frameworks in a typical regular
pyramid‐shaped NaY particle and (b) the relative size of N2 molecules and a path through which they
can enter the supercage in order to be adsorbed. Only monolayer adsorption is possible as volume
inside the cage is insufficient to accommodate additional molecules for multilayer adsorption. ..... 127
Figure 4.8. Schematic showing (a) possible effect of NaOH treatment on the pore structure within a
regular pyramid‐shaped NaY particle when no carbon is added. Material is removed by desilication
causing a series of walls in between the supercages to be washed away, joining together multiple
PhD Thesis Shamsur Rahman 18
supercages to create a significantly wider cavity with larger pore volume and smaller surface area. (b)
Schematic showing the passage of gas molecules through zeolite cavities in absence of exterior walls.
Figure A7. Comparison between the classical Toth model and the pressure‐induced LJM model used
as isotherm models in ASPEN Adsorption for performing column breakthrough simulations of an
equimolar CO2/CH4 mixture using amino‐MIL‐53 (Al) as the adsorbent at 303K with a feed pressure of
(a) 1.013 bar, (b) 11 bar and (c) 30 bar. ............................................................................................. 150
Figure A8. The Toth isotherm model regressed to (i) CH4 and (ii) CO2 adsorption data reported by
Cavenati et al. [81]. Symbols denote experimental data and curves represent the Toth model. ...... 151
Figure B1. Effect of carbon‐content. ................................................................................................... 154
Figure B2. Effect of NaOH concentration. ........................................................................................... 155
Figure B3. Toth Fitting of CEZ on N2. ................................................................................................... 156
Figure B4. Toth Fitting of C‐R2030 on N2. ........................................................................................... 157
PhD Thesis Shamsur Rahman 20
Figure B5. Toth Fitting of NaY on N2. .................................................................................................. 157
Figure B6. Toth Fitting of CEZ on CH4. ................................................................................................. 158
Figure B7. Toth Fitting of C‐R2030 on CH4. ......................................................................................... 158
Figure B8. Toth Fitting of NaY on CH4. ................................................................................................ 159
Figure B9. Pore size distribution based on pore volume of CEZ, NaY and C‐R2030. .......................... 160
Figure B10. TEM image of CEZ. ........................................................................................................... 161
Figure B11. TEM image of CEZ. ........................................................................................................... 161
Figure B12. High Resolution TEM image of CEZ. ................................................................................. 162
Figure B13. High Resolution TEM image of CEZ. ................................................................................. 162
Figure B14. High Resolution TEM image of CEZ. ................................................................................. 163
Figure B15. High Resolution TEM image of CEZ. ................................................................................. 163
Figure C1. (a) The 8MR and door‐keeping potassium cation movement during CO2 adsorption. (b)
Energy profiles for the potassium cation of r1KCHA and r3KCHA. (c) SEM images for r1.9KCHA. (d) XRD
patterns of raw fly ash, intermediate and resultant r1.9CHA. (The scales of the atoms in this illustration
are not in portion). .............................................................................................................................. 167
Figure C2. CO2, N2 and CH4 adsorption isotherms on r1.9KCHA at (a) 273, (b) 303 and (c) 333 K, and (d)
breakthrough curve for r1.9KCHA at 348 K and total pressures of 1 bar. .......................................... 170
Figure CS1. SEM micrograph of fly ash. .............................................................................................. 174
Figure CS2. Isobar of as‐synthesized r1.9KCHA at 0.5 bar. ................................................................. 174
PhD Thesis Shamsur Rahman 21
Figure CS3. 3D structures of chabazite. .............................................................................................. 176
Figure CS4. Structure changes of potassium chabazite systems of r1KCHA and r3KCHA during CO2
adsorption process. The migration of the door‐keeping potassium cation (marked by the white cross)
at different steps was tracked to elucidiate the pore opening procedure in these two types of trapdoor
chabazites with different cation density. ............................................................................................ 176
Figure D1. Exemplar hysteretic sorption isotherms for CH4 on the MOFs (a) Fe(bdp) and (b) Co(bdp)
measured by Mason et al.[48] , illustrating the key parameters in eq (D1). ...................................... 180
Figure D2. Transition pressure ptr (a, c) and transition width, , (b, d) vs temperature, T, for the
sorption of CH4 on Fe(bdp) and Co(bdp) extracted from the data of Mason et al [48] with eq (D1).
Statistical uncertainties are shown as error bars in all panels but are smaller than the symbol for ptr in
(a) and (c). ........................................................................................................................................... 182
Figure D3. Equilibrium CO2 capacities, q, measured in adsorption (filled symbols) and desorption
(empty symbols) for ZIF‐7 at pressures, p, to 0.1 MPa, and eight temperatures T from (233 to 293) K.
Curves represent fits of the LJMY‐Langmuir model (eq. (D1) and described in the SI). ..................... 184
Figure D4. (a) Variation of transition pressures, ptr, with temperature and (b) relative to the value ptr0
at 303 K value for CO2 on ZIF‐7. (c) Variation of ptr with temperature and (d) with the transition
pressure measured in desorption, des . ..................................................................................... 185
Figure DS1. Hysteretic sorption isotherms for CH4 on the Fe(bdp) measured by Mason et al. [48]
Symbols: experimental data; curves: calculated with LJMY‐Langmuir model. (left) Adsorption or
desorption branch at each temperature was fitted separately. (right) The adsorption and desorption
branches at each temperature were fitted simultaneously. .............................................................. 198
Figure DS2. Hysteretic sorption isotherms for CH4 on the Co(bdp) measured by Mason et al. [48]
Symbols: experimental data; curves: calculated with LJMY‐Langmuir model. (left)Adsorption or
PhD Thesis Shamsur Rahman 22
desorption branch at each temperature was fitted separately. (right) The adsorption and desorption
branches at each temperature were fitted simultaneously. .............................................................. 199
Figure DS3. Equilibrium CO2 capacities, q, measured in adsorption (filled symbols) and desorption
(empty symbols) for ZIF‐7. Curves represent fits of the LJMY‐Langmuir model with adsorption and
desorption branched at each temperature fitted simultaneously. .................................................... 200
Figure DS4. Temperature dependence and hysteresis of the transition width parameter, , reported
in Tables DS1 to DS3 when each branch is fit separately to eq (D1). ................................................. 208
Figure DS5. Graphical layout of the PVSA model built with Aspen Adsorption. ................................ 209
Figure DS6. Isotherm data and LJMY‐Langmuir fits for CO2 and CH4 on ZIF‐7 at 303 K. ..................... 211
Figure DS7. Simulated methane content of light product (P1 stream in Figure DS5) produced from an
equimolar feed of CH4 + CO2 using ZIF‐7 in a 2‐bed, 4‐step PVSA process with phigh = 2 bar. For every
desorption pressure (plow) considered the result of using each of the three isotherm models
(adsorption branch, desorption branch or full hysteresis) is shown. ................................................. 212
PhD Thesis Shamsur Rahman 23
List of Tables
Table 1.1. Comparison of CO2 emissions per unit of energy produced from the major fossil fuels [10].
Table CS1. The gas selectivities and capacities on chabazite. ............................................................ 177
PhD Thesis Shamsur Rahman 24
Table DS1. Values and statistical standard uncertainties, u, of best fit parameters determined by
regression of the LJMY‐Langmuir model (eq (D1) or eq (DS3)) to the data of Mason et al. [48] for
sorption of CH4 on Fe(bdp), together with the standard error of the fit. ........................................... 194
Table DS2. Values and statistical standard uncertainties, u, of best fit parameters determined by
regression of the LJMY‐Langmuir model (eq (D1) or eq (DS3)) to the data of Mason et al. [48] for
sorption of CH4 on Co(bdp), together with the standard error of the fit. .......................................... 195
Table DS3. Values and statistical standard uncertainties, u, of best fit parameters determined by
regression of the LJMY‐Langmuir model (eq (D1) or eq(DS3)) to the data measured in this work and by
Arami‐Niya et al. [59] at 303 K for the sorption of CO2 on ZIF‐7, together with the standard error of the
fit. ........................................................................................................................................................ 196
Table DS4. Values and statistical standard uncertainties, u, of best fit parameters determined by
regression of the LJMY‐Langmuir model (eq (D1) or eq(DS3)) to the data of Couck et al. [162] for
sorption of CO2 on CH4 on MIL‐53(Al), together with the standard error of the fit. .......................... 197
Table DS5. Equilibrium capacities, q, of CO2 on ZIF‐7 measured in adsorption and desorption as a
function of pressure, p, and temperature, T. The relative combined standard uncertainty of sorption
capacity, uc(qi)/qi, measured with this ASAP2020 was estimated previously [131, 161] to be 1.4 %201
Table DS6. PVSA cycle step sequence and timing ............................................................................... 210
Table DS8. Values of the LJMY‐Langmuir sorption isotherm parameters for ZIF‐7 at 303 K used to
simulate a PVSA separation of an equimolar CO2 + CH4 mixture, based on the data reported by Aram‐
Niya et al. [163] and by Yang et al. [164]. ........................................................................................... 210
Table E1. Data points extracted graphically from Couck et al. [60] .................................................... 215
PhD Thesis Shamsur Rahman 25
Table E2. Data points extracted graphically from Mason et al. [48] .................................................. 218
Table E3. Data points extracted graphically from Mason et al. [48] .................................................. 226
Table E4. Data table for experimental data presented in Figure 2.9 and Figure 2.10 ........................ 232
Table E5. Data points extracted graphically from McDonald et al. [64] ............................................. 238
Table E6. Data table for all experimental isotherm data presented in Chapter 3 .............................. 244
Table E7. Data table for all experimental isotherm data presented in Chapter 4 .............................. 264
PhD Thesis Shamsur Rahman 26
Acknowledgements
I am profoundly indebted to the individuals whose contributions facilitated the timely completion of
this work. I would like to thank my Principal and Coordinating Supervisor Professor Eric May for
providing guidance, selecting key topics, reviewing written work and helping achieve milestones
during the entire duration of this research project. Despite being very busy with teaching
commitments and managing a large research group, Eric was always available to participate in
discussions, many of which were long and took place during the busiest times of the semester. He was
always patient in answering questions and actively contributed by providing valuable feedback.
I would also like to thank my Co‐Supervisor Professor Gang (Kevin) Li for his continuous suggestions
and feedback that helped achieve some of the key outcomes of this work. Kevin provided hands‐on
training with laboratory equipments and experimental procedures during the early stages of this work
and conducted tutorials and learning sessions that helped me build a strong foundation on the
fundamentals of adsorption. Kevin brings a wealth of knowledge in the field of adsorption which has
been invaluable to this research work.
In addition I would also like to express my gratitude to my parents, Mr Sayedur Rahman and Mrs
Suraiya Akhter, for their motivation and encouragement to continue my work through some of the
toughest times we went through as a family. Finally, I would like to acknowledge my daughter,
Nusaibah Shams Rahman and my wife Sharmin Alam for the immeasurable sacrifices they made to
accommodate my PhD in their lives. They were severely deprived of my time and involvement in
numerous family activities, yet they never complained. Without their support, it would have been
impossible to complete this work.
Despite the assistance of all the people mentioned and many others not mentioned, the errors that
still remain are my own.
This research has been supported by an Australian Government Research Training Program (RTP)
Scholarship.
PhD Thesis Shamsur Rahman 27
Chapter 1
Introduction and Motivation
1.1 The rise of natural gas as a fuel
With rapid urbanisation and increasingly widespread use of technology around the world, global
energy consumption continues to grow. In 2018, world energy consumption was 2.9% higher than the
previous year and almost double the average annual growth rate of 1.5% over the last 10 years [1].
The largest contribution to this increase came from natural gas which accounted for more than 40%
of the growth [1, 2]. Globally natural gas consumption rose by 5.3% over the previous year while
production grew by 5.2% [1, 2]. These figures were the fastest annual growth rates recorded for
natural gas in the last 30 years and more than double the average 10‐year annual growth rate, as
shown in figure 1.1 [1].
Figure 1.1. Comparison of growth of natural gas consumption and production in 2018 with the previous 10‐year average annual growth rate and the major countries which contributed to the
growth [1].
PhD Thesis Shamsur Rahman 28
The largest contribution to the increase in natural gas consumption was driven by growing demand in
power generation to replace coal‐fired power stations, especially in the US and China [3]. In the US,
15 gigawatts of coal‐fired power generation capacity was retired in 2018 while in China strong
environmental policies encouraging coal‐to‐gas switching have triggered a number of large scale
projects leading to a remarkable 18% increase in natural gas consumption [1, 3]. Figure 1.2 below
shows the historical as well as a projected decline in coal‐fired electricity generation in the US from
2010 – 2050 and the corresponding rise in natural gas as a source of power generation.
Figure 1.2. Comparison of the historical and projected use of different fuels to generate electricity in the US from 2010 – 2050 [3].
To meet the growing demand, it is inevitable that the supply of natural gas also has to increase
significantly. In 2018, the largest contribution to the increase in production came from the US shale
gas reserves in Mercellus, Haynesville and Permian. In addition, continuous rapid expansion in
liquefied natural gas (LNG) made a major contribution to the overall supply [1‐3]. A number of existing
PhD Thesis Shamsur Rahman 29
LNG plants in Australia, US and Russia achieved substantial increase in production volumes while a
number of new plants went into production [1].
1.1.1 Natural gas in Australia
In recent years, Australia has played a major role in meeting the global demand for natural gas. In
FY2018‐19, LNG was Australia’s second largest export commodity by value after iron ore and had by
far the highest annual growth in both value and volume amongst all resource and energy commodities
[4]. A major portion of Australia’s LNG exports come from Western Australia (WA), which as of October
2019, has 65.5 trillion cubic feet (tcf) of proven (2P) offshore conventional natural gas reserves and an
additional 68.1 tcf of 2C conventional gas resources [5]. In 2018, WA contributed to 66% of Australia’s
total LNG exports and 14% of global LNG supply. Figure 1.3 shows the number of WA LNG export
projects in operation since 2015 and the growth in annual export capacity each of these contributes
to. Amongst these, the Prelude FLNG plant made its first LNG shipment in June 2019.
Figure 1.3. LNG export projects in operation in Western Australia since 2015 and the growth in the state’s annual LNG export capacity in million tonnes [5].
PhD Thesis Shamsur Rahman 30
1.1.2 Environmental regulations
Over the last few decades there has been growing concern over the impact of climate change around
the world. A number of accords and agreements have been signed setting targets and limits for
signatory countries to reduce greenhouse gas emissions. The most well‐known amongst these are the
Kyoto Protocol (1997), the Copenhagen Accord (2009), and the Paris Agreement (2016), whose main
objective is to ensure that global temperature increase by the end of the century is kept well‐below 2
degrees Celsius above pre‐industrial levels [6]. To achieve this target, strict regulatory measures have
been undertaken by governments across the world to cut greenhouse gas emissions from major
industries such a power generation, manufacturing and chemical processing [7, 8].
The primary greenhouse gas whose atmospheric concentration is increasing at the highest rate as a
direct consequence of human activities is carbon dioxide [9]. Reducing CO2 emissions has therefore
been a key target for environmental regulations being implemented around the world. Table 1.1
below shows the comparison of CO2 emissions per unit (BTU) of energy produced from the major fossil
fuels including coal, oil and natural gas [10].
Table 1.1. Comparison of CO2 emissions per unit of energy produced from the major fossil fuels [10].
Fuel Pounds of CO2 emitted per million British Thermal Unit (BTU) of energy produced
Coal (anthracite) 228.6
Coal (bituminous) 205.7
Coal (lignite) 215.4
Coal (subbituminous) 214.3
Diesel fuel and heating oil
161.3
Gasoline (without ethanol)
157.2
Propane 139.0
Natural gas 117.0
PhD Thesis Shamsur Rahman 31
As shown in the table above, amongst all fossil fuels, natural gas has the lowest CO2 emissions per unit
of energy produced. It is therefore considered to be the cleanest fossil fuel and has been a major
driver, along with clean air issue, of programs such as coal‐to‐gas switch in China and US, as described
above. For this same reason, rapid growth in the demand and consumption of natural gas is expected
to continue in the coming years.
1.2 The challenge of separating gas mixtures
As discussed above, one of the essential factors facilitating the growth of global supply and trade of
natural gas is LNG. This is because many of the large natural gas reserves are located far away from
the global markets and transporting in shipping vessels is far more economically viable than
constructing pipelines across oceans [11]. The operational schematic of a conventional LNG processing
plant is shown below in figure 1.4.
Figure 1.4. Conventional gas processing operations in a typical natural gas plant with a cryogenic process for liquefied natural gas production. MCHE = main cryogenic heat exchanger [12].
PhD Thesis Shamsur Rahman 32
As shown above, before a feed of natural gas can enter the liquefaction unit of an LNG processing
plant, its impurity contents, mainly carbon dioxide and nitrogen, must be reduced significantly to
deliver a high concentration methane stream. Most feed gas specifications require CO2 contents to
be less than 50 ppmv and N2 concentration to be under 1% [13, 14]. This is because CO2 freezes at
cryogenic temperatures to form dry ice which can cause blockage and N2 has no heating value and can
cause stratification and rollover of the liquid product during shipping. However, most natural gas
reserves around the world contain much higher impurities, typically over 3% CO2 and 4% N2 [13].
In order to meet the feed gas specifications of LNG plants, CO2 and N2 need to be selectively removed
from natural gas. The process of separating these components from a mixture of several gases is not
trivial. Conventionally, CO2 is removed using the method of amine absorption where the mixture is
treated with aqueous amine solution and the resulting CO2‐reach acidic by‐product is rejected through
acid gas rejection units while the remaining hydrated contents are passed through dehydration loops
before delivering into the liquefaction plant [15]. N2 rejection takes place at low temperatures through
the process of cryogenic distillation which uses the difference in relative volatility of CH4 and N2 at
high pressure conditions to separate N2 + CH4 mixtures [16, 17].
Both amine absorption and cryogenic distillation are energy‐intensive processes and raise the unit
cost of LNG production. For amine absorption, gas processing costs range from USD 0.18 to USD 0.31
per Mscf product [18]. The major contributions come from the additional power consumption
required to (i) maintain a continuous sorbent circulation rate determined by the loading capacity of
the sorbent and the amount of CO2 that needs to be removed and (ii) regenerate the amine sorbent
[13]. For cryogenic distillation, the main added operating cost arises from the additional power needed
to extend the high pressure conditions, required for N2/CH4 separation, to the nitrogen rejection unit
[16, 19]. Typical power ratings of conventional cryogenic distillation columns have been reported to
range between 360 MW and 386 MW [20].
PhD Thesis Shamsur Rahman 33
1.3 Adsorptive separation
Due to the additional operating costs associated with amine absorption and cryogenic distillation,
alternative cost‐effective gas separation methods are sought by the natural gas industry. In particular,
adsorption‐based separation methods are considered as possible cost‐effective solutions [21‐24]. The
application of adsorption as a method for separating mixtures into two or more streams, each
enriched with a valuable component to be recovered, began in the early 1950s [25]. Initially used for
the recovery of aromatic hydrocarbons, adsorption based processes became popular in the 1970s for
separating close boiling point crude oil components. With increasing energy prices, adsorption, which
in principle was the more economic separation method, competed with distillation – the conventional
method for separating crude oil fractions [25].
The two most promising adsorptive separation methods that can potentially replace amine absorption
and cryogenic distillation in the LNG industry include pressure swing adsorption (PSA) and
temperature swing adsorption (TSA). Both these processes use cycles consisting of adsorption to load
gas onto the adsorbent material and desorption to regenerate the adsorbents. To separate gas
mixtures, PSA relies on the difference in adsorption capacity at different pressures under isothermal
conditions while TSA makes uses of the difference in capacity at different temperatures under isobaric
conditions. A schematic representation of a two‐bed cyclic separation process and the capacity
difference used by PSA/TSA are shown in figure 1.5.
Under isothermal conditions, adsorption occurs when the pressure is increased and desorption occurs
when the pressure is lowered again. The PSA method therefore uses depressurisation to regenerate
the adsorbent bed and is able to operate with short cycle times, in the order of minutes or even
seconds, provided that the kinetics/mass‐transfer properties of the adsorbent being used is able to
support rapid loading/unloading [26]. This means, with the suitable adsorbent, a PSA process can
deliver faster separation using a smaller amount of adsorbent compared to an equivalent TSA process
[12].
PhD Thesis Shamsur Rahman 34
Figure 1.5. (a) Schematic representation of a two‐bed cyclic adsorption process with (b) pressure swing adsorption (PSA) and temperature swing adsorption (TSA) cycles shown on a typical isotherm [12].
1.3.1 The need for adsorbents with high capacity
Success of any commercial scale adsorption process depends crucially on the availability of suitable
adsorbents in tonnage quantities at economic cost [25]. This need for adsorbents has stimulated, over
the last 40 years, fundamental research that led to the development of a range of commercially
available materials such as activated carbon, silica gel, molecular sieves, zeolites, metal organic
frameworks (MOFs), covalent organic frameworks (COFs) etc. Adsorption‐based separation processes
are heavily dependent on the adsorptive characteristics of these adsorbents. Some of the key
desirable properties include:
High capacity for the target gas
High selectivity for the target gas mixture
High mass transfer coefficient to ensure sustainable adsorption kinetics
Regenerability to ensure continuous performance upon repeated load/unload cycles
(a) (b)
PhD Thesis Shamsur Rahman 35
Adsorption capacity is the amount of gas that can be loaded onto the solid adsorbent upon reaching
steady‐state equilibrium at a certain pressure under isothermal conditions. In a PSA process, the
adsorbent needs to have a high capacity for the target gas so that large amounts of it can be captured
in each cycle, leading to a smaller quantity of adsorbent material needed or a lesser number of cycles
required to achieve the desired separation. Either way, this means the associated operating costs
needed for the separation process are reduced.
Wide range of studies are available where capacity of common adsorbents such as zeolites and carbon
have been measured to determine and compare their suitability for use in PSA processes [27‐30].
Contemporary research has also focused on implementing changes within existing adsorbent
structures to achieve enhanced capacity [31‐33] and developing emerging adsorbent materials such
as metal organic frameworks (MOFs) with increased adsorption capacities [34‐37]. While adsorptive
properties of MOFs are often more desirable than zeolites and carbon, the availability and production
cost of MOFs are usually not as favourable. Yilmaz et al [38] provide a detail analysis of factors that
affect large scale synthesis of MOFs. The main considerations are cost and availability of raw
materials/reagents and the space‐time‐yield (STY) of synthesis. The cost of production is usually
significantly higher than adsorbents such as zeolites and carbon, even when the reagents are available
in abundant quantities. However, favourable separation characteristics can mean that a MOF is a
preferred adsorbent for certain applications, despite its high synthesis cost.
1.3.2 The need for adsorbents with high selectivity
Selectivity is a measure of an adsorbent’s relative affinity towards a particular gas over another gas in
a mixture of two or more gases. Some factors that affect selectivity include the relative molecular
diameters of the gas molecules in comparison to the size of the adsorbent’s pore opening and the
electrostatic interaction between the gas and the solid materials. When exposed to a mixture of two
gases, an adsorbent material will adsorb higher amount of the gas it is more selective towards and
lower amount of the gas it is less selective towards. Hence, to capture nitrogen from a typical mixture
PhD Thesis Shamsur Rahman 36
of methane and nitrogen present in natural gas, under identical conditions, a PSA process using an
adsorbent with a higher N2/CH4 selectivity will require fewer cycles and less time to achieve its target
separation in comparison to a PSA process using the same amount of another adsorbent with a lower
N2/CH4 selectivity. Thus, as with higher capacity, using adsorbents with higher selectivity for the target
gas also leads to savings in operating costs as the same separation performance can be delivered
within a shorter time or using smaller quantity of adsorbent.
Achieving highly selective adsorption has been a key driver behind the development and evolution of
materials such as metal organic frameworks (MOF’s) and covalent organic frameworks (COF’s) [39‐
43]. For large scale processes such as LNG, the preference is usually to use adsorbents such as zeolites
and carbon which can mostly be obtained from natural sources with minimal treatment. However,
substantial difference in capacity, selectivity and kinetics can also make synthetic materials such as
MOFs and COFs economically more favourable than zeolites and carbon.
1.3.3 The need for reliable isotherm models
Our understandings of the governing relationships that dictate the interaction between the solid
surface of an adsorbent and the gas molecules being adsorbed can be described in functional forms
generally known as isotherm models. Classical isotherm models, such as the Langmuir [44], BET [45],
and Toth [46] models have been derived by applying thermodynamic equations of state to the
adsorption equilibrium while making certain assumptions in regards to the phase of the adsorbed
layer. These models have been generally able to quantify the adsorption behaviour of most common
adsorbents such as zeolites, carbon, silica etc over a wide range of temperature and pressure.
However, some well‐known emerging materials such as MIL‐53 (metal organic framework) and ZIF‐7
(zeolitic imidazole framework), which have demonstrated extraordinary adsorption capacity and
selectivity, exhibit adsorption behaviours very different from those of carbon or zeolites. As a result
of the flexibility in their structure, these materials undergo a phenomenon known as “breathing”
which cause a step‐shape in their adsorption/desorption isotherms. Classical isotherm models are
PhD Thesis Shamsur Rahman 37
generally unable to capture this behavior and are therefore not suitable for these emerging
adsorbents.
In an adsorptive separation process such as PSA, isotherm models are important for obtaining reliable
process simulation results which are used to design and optimise the performance of the PSA under
different operating conditions. Hence, in order to utilise the adsorptive characteristics of emerging
flexible adsorbents such as breathing MOF’s in PSA processes, an isotherm model capable of
quantifying adsorption/desorption behaviour of these materials within a wide range of temperature
and pressure is required.
1.4 The objectives of this research
This research project aims to support the implementation of novel pressure swing adsorption
separation technologies in the natural gas industry through the following objectives:
Develop an isotherm model capable of quantifying changes in adsorption capacity in response
to pressure‐induced structural transitions in flexible adsorbents
Correlate hysteresis in breathing adsorbents with temperature and validate experimentally
Develop a simple method to substantially enhance nitrogen adsorption capacity of a
commercially available Faujasite type Zeolite Y
Identify the structural modifications in the novel adsorbent and propose a mechanism to
explain how these changes cause the observed enhancements in capacity
In Chapter 2, an isotherm model capable of quantifying adsorption/desorption behaviour, including
hysteresis, caused by structural transitions in flexible metal organic frameworks, is developed. The
proposed model uses a functional form that incorporates a step change in adsorption capacity without
introducing any discontinuities. The model is validated by regressing experimental isotherm data,
collected from the literature as well as from laboratory measurements, for a number of well‐known
flexible adsorbents over a wide range of temperature and pressure. Using regression parameters, the
PhD Thesis Shamsur Rahman 38
model is then used to correlate the magnitude of hysteresis in flexible adsorbents with temperature,
leading to conditions where hysteresis reaches a limiting asymptotic value. Finally, to demonstrate
the model’s suitability for use in industrial process simulations, a commercial software package is used
to incorporate the proposed functional form as an isotherm model to define the adsorption bed for
simulating the separation of a binary gas mixture, first using a dynamic column breakthrough
apparatus and then using PSA. The results obtained are compared with experimental data from the
literature as well as with results from simulations conducted under identical conditions but using a
classical counterpart of the proposed model.
Chapter 3 focuses on material development where the effects of a range of chemical treatments on
the methane and nitrogen adsorption capacity of some common naturally sourced variants of zeolite
and carbon are studied experimentally. Measurements of isothermal adsorption capacities are
presented for a number of novel zeolite‐based and carbon‐based adsorbents synthesised using
different wet chemistry procedures. Structural properties such as BET surface area and chemical
compositions such as silicon‐to‐aluminum ratio and the type of cation that affect the adsorption in
zeolites are discussed with reference to the observed changes in capacity. Thermodynamic properties
such as enthalpy of adsorption are also measured and compared in the different variants of zeolites
used in the study. In addition to capacity, changes in selectivity due to the presence of organic cations
such as tetramethyl ammonium are also studied in both zeolites and carbon. A number of methods to
successfully functionalise carbon surfaces in order to introduce organic cations are presented and the
resulting changes in methane/nitrogen selectivity are analysed and explained using characterisation
techniques such as scanning electron microscopy. The theory and literature review pertaining to this
concept has also been discussed in detail.
In Chapter 4, a simple laboratory method to synthesise a novel zeolite‐based adsorbent producing
remarkable enhancement in nitrogen adsorption capacity is presented. This material, a carbon
enhanced zeolite (CEZ), was synthesised by encapsulating a readily available variant of a naturally
PhD Thesis Shamsur Rahman 39
occurring faujasite type zeolite into an external mesoporous carbon film. A wide range of
characterisation techniques including inductively coupled plasma analysis, x‐ray diffraction, nitrogen
sorption at 77K, scanning electron microscopy and scanning transition electron microscopy are used
to identify the structural changes responsible for capacity enhancement in this material. Furthermore,
a mechanism explaining the observed gain in adsorption capacity is proposed and validated by the
results of the characterisation experiments.
Finally, in Chapter 5, the key outcomes of this work are summarised. The relevance of the findings to
the natural gas industry are clearly identified and how the results can be used to address a number of
industrial challenges are described. Future research directions to further progress the outcomes of
this work are also suggested.
PhD Thesis Shamsur Rahman 40
Chapter 2
Structural Transitions in Metal Organic Frameworks
Foreword
This chapter forms the basis of a manuscript that has been prepared for submission to the Journal of
American Chemical Society (JACS). The manuscript has been reproduced in Appendix D.
2.1 Introduction
The development and study of flexible porous materials, in particular metal‐organic frameworks
(MOFs), has been a major focus in the adsorption community in recent years. Interest in these
materials, from a process perspective, can be attributed to their potential use in a wide range of
applications in gas separation, gas storage, and catalysis [47‐53]. Owing to the numerous different
methods by which these structures have been designed and engineered for their desired applications
[54, 55], the reported adsorption characteristics of most MOF’s are fundamentally different from
those exhibited by conventional adsorbents such as molecular sieves, zeolites and activated carbon.
In flexible MOFs, the host‐guest interaction affects the host’s pore characteristics and the associated
pore accessibility by the guest molecule. The interaction may be classified as one of two mechanisms:
(1) a crystallographic phase transition that results in unit cell volume change (breathing or swelling
effect [56, 57]), or (2) a linker rotation and sub‐net sliding where there is no change in the unit cell
volume (gate‐opening). In both cases, the ability of these “soft materials” to change structure means
their observed adsorption characteristics are fundamentally different to those exhibited by
conventional adsorbents such as molecular sieves, zeolites and activated carbon[54, 55]. One of the
most obvious differences is the drastic increase in sorption capacity that occurs when the number of
accessible adsorption sites in the framework suddenly changes in response to external stimuli such as
temperature, pressure or the adsorption/desorption of guest molecules[56, 57]. This feature of
PhD Thesis Shamsur Rahman 41
flexible MOFs allows the adsorption of guest molecules seemingly larger than the nominal
crystallographic pore diameter to suddenly increase. Such materials offer, in principle, a very high
selectivity and could potentially be very useful in the development of new gas separation technologies.
Although adsorption/desorption behaviours of several flexible MOFs have been studied extensively,
quantifying the shape of the isotherms and predicting the phase transition pressure for a given host‐
guest molecule system still remains challenging. An isotherm model with a consistent and physically
meaningful set of parameters is essential for reliable simulation of any adsorption‐based industrial
process utilizing the breathing MOF, such as the gas separation process that often motivates the
material’s development. Use of classical isotherm models such as the Langmuir, Toth and the BET
models, which work well for conventional adsorbents, are likely to produce erroneous process
simulation results for flexible adsorbents, especially near the region of the isotherm that corresponds
to the structural transition where the classical model deviates from the experimental data, as shown
in figure 2.1. Some developers of flexible MOFs have attempted to use combinations of classical
functional forms to regress breathing isotherm data; however, these resulted in piece‐wise definitions
of classical adsorption models being stitched together with inconsistent parameters produced by
fitting to different parts of the breathing isotherm [48, 58, 59]. Arami‐Niya et al. [59] used the
Langmuir‐Freundlich model to regress experimental isotherm data for the adsorption of CH4 and CO2
on ZIF‐7. However, in addition to difficulties in fitting, this model requires an excessive number of
fitting parameters and is cumbersome for use in process simulation design. Moreover, this approach
does not readily lend itself to insight about the nature of the material’s behaviour or predictions of
key properties at conditions far from the measured data.
PhD Thesis Shamsur Rahman 42
Figure 2.1. Deviation of the classical Toth model from isothermal experimental data [60] at 303K for
the adsorption of (a) CO2 and (b) CH4 on amino‐MIL‐53 (Al).
Recently, Li et al. [61] proposed an approach for quantifying temperature‐regulated guest admission
in adsorbents such as trapdoor zeolites based on the energy distribution of oscillators within an
adsorbent structure. This method, termed as the Li‐Jensen‐May (LJM) approach, led to a functional
form capable of quantitatively describing observed adsorption isobars for materials that exhibit
temperature‐dependent adsorption. In this work, we have used an adaptation of the LJM approach
to propose an empirical isotherm model capable of providing a more coherent description of the
observed breathing isotherms, avoiding piece‐wise definition or any discontinuity. Experimental
isotherm data for different flexible MOFs from the literature were successfully regressed to this new
functional form, termed as the “pressure‐induced LJM model”. For isotherms with hysteresis, this
model can be used to quantify desorption together with adsorption. This means hysteresis associated
with breathing transitions can be analyzed as a temperature dependent effect and consequently leads
to the prediction of a temperature at which hysteresis becomes very small. Finally, the model is used
as an isotherm model to simulate first the binary breakthrough and then the pressure swing
adsorption separation of a gas mixture using a commercial software package to demonstrate the
model’s suitability for use in industrial process simulations. The results obtained are compared with
experimental data from literature as well as with results from simulations conducted under identical
conditions but using a classical counterpart of the proposed model.
PhD Thesis Shamsur Rahman 43
2.2 Development of the pressure‐induced LJM model
The LJM approach originally proposed to quantify temperature‐regulated guest admission exhibited
by adsorbents such as trapdoor zeolites where, contrary to normal physiosorption, an adsorption
isobar features a point of maximum capacity beyond which the capacity decreases with decreasing
temperature [61]. In these materials, admission to adsorption sites occurs through interactions
between guest molecules and oscillating pore‐keeping cations that obstruct the entrance to the
interior of a unit cell. Admission of the guest molecules is based on its interaction with the door‐
keeping cation (oscillator). At a certain condition, the guest molecule induces temporary deviations in
the cation from its original position, providing sufficient space for the guest molecule to enter the pore
that contains the majority of adsorption sites. For the oscillator to deviate from its preferred site and
allow a guest molecule to be admitted, the combined guest‐host system must have enough thermal
energy to overcome the energy barrier associated with the temporary deviation of the host that is
sufficient to allow the guest access to the pore.
Structural change in flexible MOFs is a highly guest dependent transition between collapsed or narrow
pore (np) and expanded or large pore (lp) phases that is characterised by gate‐opening and gate‐
closing pressures [62]. Thus, analogous to temperature‐regulated guest admission in trapdoor
adsorbents, breathing effect in MOFs can be defined as a pressure dependent phenomenon [56, 57,
63]. Hence, a functional form for pressure‐induced adsorption can be derived using a similar approach
used for deriving the temperature‐induced model. An expression for the adsorption capacity of a
breathing adsorbent obtained by incorporating the LJM form into the classical Toth model is given in
equation Eq. 2.1 below. The full derivation is available in Appendix A1.
1,
√1 (Eq. 2.1)
In equation Eq. 2.1, np is the adsorption capacity, , is the theoretical maximum value that the
breathing pressure can have when temperature becomes large, k is the breathing pressure coefficient,
PhD Thesis Shamsur Rahman 44
βP is a measure of the distribution width, is the fraction of external surface sites and defects always
available for adsorption, is the maximum monolayer adsorption capacity, b0 is the gas‐solid affinity
coefficient, ΔH is the enthalpy of adsorption, R is the gas constant, m is the surface heterogeneity
coefficient and T and P respectively are the temperature and pressure, as shown in equation Eq. 2.1,
to the parameters present within the standard adsorption equation. A summary of all model
parameters considered in this work, including their units is provided in Appendix A2.
The pressure‐induced form of the LJM model, as described by equation Eq. 2.1, was used in the next
sections to quantify isothermal adsorption capacity of a number of breathing MOFs that exhibit
stepped isotherms as a result of phase transition of these materials. The experimental data used for
this quantitative study were obtained from multiple sources published in the open literature [48, 60,
64]. In order to validate the model, attempts were made to fit different forms of breathing isotherms
reported in the literature. These are 1‐ CH4 adsorption/desorption measurements on Fe(bdp) and
Co(bdp) in a temperature range of 248‐323 K and pressures up to 7000 kPa, reported by Mason et
al.[48]; 2‐ CO2 adsorption/desorption measurements on mmen‐Fe2(dobpdc) and mmen‐Co2(dobpdc)
in a temperature range of 298‐323 K and pressures up to 100 kPa [64]; 3‐ CO2 adsorption isotherms
on amino‐MIL‐53(Al) at 288‐303 K and pressures up to 2900 kPa [60]. For amino‐MIL‐53(Al)),
experimental data for the column breakthrough separation of a CH4/CO2 mixture using were also
reported [60], allowing for comparisons to be made with simulations performed using the pressure‐
induced LJM model to quantify isothermal breathing behavior. In addition, we conducted experiments
in our own laboratory to measure isothermal adsorption/desorption of CO2 on ZIF‐7 up to a pressure
of 100 kPa at temperatures ranging from 233 K – 253 K and made attempts to regress the pressure‐
induced LJM model on the obtained data.
2.3 Modelling stepped breathing isotherms
The stepped breathing isotherm, observed with many flexible adsorbents, refers to an adsorption
isotherm where the amount of gas adsorbed is small at low pressures but rises sharply as the pressure
PhD Thesis Shamsur Rahman 45
approaches P0 and thereafter continues to rise further before forming a plateau [48, 56, 57, 63]. This
isotherm shape has been attributed to a two‐stage adsorption process caused by the framework’s
transition from np to lp phases. As the physical dimensions and characteristics of the pores and cages
are different in the two phases, two types of adsorption sites become available for guest molecules
[65]. The first stage in the adsorption isotherm where uptake is low takes place because at low
pressures the framework is mostly in the np phase. In this phase, most of the unit cells are in a
collapsed stage making the pore surface area and volume available for adsorption to be low. The
energy released due to adsorption in this stage is used to overcome the interfacial energy penalty
required to create new surface area and cause pore expansion (np lp) whereby surface area and
volume increase dramatically making additional cavities and adsorption sites accessible to the gas
molecules for the second stage of adsorption to take place [66]. The specific shape of the isotherm in
the two adsorption stages depends on types of adsorption sites present in the framework being
considered. In the following examples, we investigate the compatibility of the pressure‐induced LJM
model in quantifying different forms of stepped isotherms exhibited by a number of breathing MOFs.
2.3.1 CH4 on Fe(bdp)
Mason et al. conducted a set of CH4 volumetric adsorption and desorption experiments for the metal‐
organic framework Iron(II)‐1,4‐benzenedipyrazolate, abbreviated as Fe(bdp) that shows noticeably
high capacity for CH4 adsorption. 3‐D schematics of this compound in both collapsed and expanded
forms are shown in figure 2.2. Measurements of isothermal excess adsorption and desorption
capacities at low and high pressures (up to 7000 kPa) are reported and cover a wide range of
temperatures from 248 K to 323 K [48]. The broad hysteretic desorption of CH4 from Fe(bdp) is used
to suggest an application for practical gas storage since the gas adsorbed at high pressure can be
stored at lower pressures. However, in a gas separation process by pressure swing adsorption (PSA),
a significant adsorption‐desorption hysteresis loop may affect the low‐pressure release stage. It has
been suggested that significant hysteretic desorption seen in stepped breathing isotherms of hybrid
MOFs is caused mainly by the strong interactions between the adsorbed guest molecules and the host
PhD Thesis Shamsur Rahman 46
[67]; nevertheless, there is still no practical tool to predict the hysteretic desorption pressure of these
materials in the presence of a guest molecule and at a certain temperature.
Figure 2.2. 3D depiction of (a) solid‐state structure of the collapsed phase of Fe(bdp) under vacuum at 298K and (b) idealized average solid‐state structure of the expanded phase of Fe(bdp) under 50
bar pressure at 298K [48].
Figure 2.3 (a) and (b) show the pressure‐induced LJM model represented by equation Eq. 2.1 regressed
on experimental data respectively for isothermal adsorption and desorption of CH4 on Fe(bdp)
reported by Mason et al. [48]
(a) Collapsed Fe(bdp)
(b) Expanded Fe(bdp)
PhD Thesis Shamsur Rahman 47
Figure 2.3. Demonstration of the pressure‐induced LJM model’s ability to quantify breathing isotherms for CH4 (a) adsorption and (b) desorption on Fe(bdp) at seven temperatures reported in
reference [48]. Solid and hollow symbols denote, respectively, adsorption and desorption experimental data. Solid curves represent the pressure‐induced LJM model.
The fitting exercise performed above shows that the regressed pressure‐induced LJM model can
provide a good representation of the measured data. The quality of the regression is validated by the
ability of the model to fit a total of 14 isotherms (seven each for adsorption and desorption)
encompassing a range of temperatures between 248 K and 323 K. The regression had an R2 of 0.996
for adsorption and 0.990 for desorption with values of all parameters, listed in Appendix A3, being
physically meaningful. The statistical uncertainties of regression in the parameter values are also listed
in Appendix A3. In particular, the model predicts an enthalpy of adsorption, ‐ΔH, the value of 12.8
kJ/mol, which is near the 12.7 kJ/mol (expanded) value reported in the experimental work [48]. The
value of the other classical parameter n∞ was above 20 mol/kg which was expected as the material
was designed to have a high CH4 capacity. The Toth parameter m had a value of 1 indicating that the
classical part of the model was essentially the Langmuir model.
A unique feature of this modeling approach lies in its ability to connect desorption with adsorption for
materials that exhibit hysteresis. In the absence of hysteresis, a desorption isotherm should, in theory,
be quantifiable by the same parameter values that describe the corresponding adsorption isotherm
[25]. Hence, when hysteresis is present, it is necessary to identify the parameters that would be
affected by hysteresis. Among the parameters used in the above model, only P0,ref, k and βP are
(b)
PhD Thesis Shamsur Rahman 48
affected by hysteresis as ε is a measure the adsorption on the external surface and the other
parameters are inherited from the classical adsorption equations which are derived for cycles with no
hysteresis. Therefore, only these three parameters were allowed to vary during the regression of the
desorption isotherms while all other parameters were fixed at values obtained from the regression of
the adsorption isotherms. Thus, the fit presented in figure 2.3(b) is essentially a three‐parameter fit.
Following a similar approach used by Du et al. [66], the natural logarithm of the breathing pressure P0
obtained from the above regression was plotted against 1/T for both adsorption and desorption, as
shown in figure 2.4. The plot shows that the points fall on a straight line with a negative slope for both
adsorption (breathing‐in) and desorption (breathing‐out), justifying the use of the Clausius‐Clapyron
equation to model breathing pressure as a function of temperature. A detailed derivation of this
approach that aligns with Du et al. [66] has been provided in Appendix A1.
Another remarkable observation lies in the fact that the slopes of the two straight lines in figure 2.4
differ with the adsorption branch being steeper than the desorption branch. This means that the two
lines can be extended to meet at a unique point, which we term as the point of intersection. This point
corresponds to a temperature, Ti, at which the breathing‐in transition pressure, P0,ads, and the
breathing‐out transition pressure, P0,des, become equal to each other. For CH4 adsorption/desorption
on Fe(bdp), this temperature is Ti ~ 115K, which is just above the liquefaction temperature of CH4 at
atmospheric pressure, making it extremely difficult to conduct an adsorption/desorption experiment
in the gas phase.
The model parameter k is equivalent to the slope of the straight lines shown in figure 2.4 and is termed
as the breathing pressure coefficient. For materials that exhibit hysteresis, this quantity is different
for adsorption as opposed to desorption. Hence, in subsequent discussions, either kads or kdes will be
used instead of k while referring to the breathing pressure coefficient to differentiate between
adsorption and desorption, respectively.
PhD Thesis Shamsur Rahman 49
Figure 2.4. Plots of P0 vs. temperature for adsorption (breathing‐in) and desorption (breathing‐out). The plots indicate that P0 = f (t) is linear for this data set. The two straight lines through the plots
meet at a point, where the breathing‐in transition pressure, P0,ads, becomes equal to the breathing‐out transition pressure, P0,des.
To further study hysteresis as a function of temperature, CH4 adsorption and desorption isotherms for
Fe(bdp) predicted by the pressure‐induced LJM model at nine different temperatures were plotted.
Seven of these plots are shown in figure 2.5 (a) – (e). Among these, the plots at 323 K and 248 K
correspond to the fittings to experimental data presented in figure 2.3 above, while the plots at 175
K, 115 K and 100 K are theoretical isotherms predicted by the pressure‐induced LJM model. The plot
at 115 K corresponds to the point of intersection between the breathing‐in and the breathing‐out
branches shown in figure 2.4. Considering the area enclosed between the adsorption and the
desorption isotherms as a measure of hysteresis, the plots clearly show a trend of diminishing
hysteresis with decreasing temperature. In order to quantify hysteresis, this enclosed area is
calculated graphically for each pairs of isotherms and plotted against temperature in figure 2.5 (f). The
plot confirms that hysteresis does in fact decrease with temperature and appears to approach an
asymptote at temperatures below 115 K, which is the temperature at which the transition pressure
during adsorption, P0,ads, becomes equal to the transition pressure during desorption P0,des. An
exponential trendline can be fitted through the points, as shown, confirming that the magnitude of
hysteresis approaches an asymptotic value at low temperatures.
y = ‐1065.7x + 11.438
y = ‐935.19x + 10.3
0
2
4
6
8
10
0.003 0.004 0.005 0.006 0.007 0.008 0.009
ln(P
0)
1/T (1/K)
Adsorption
Desorption
Point of intersection
PhD Thesis Shamsur Rahman 50
Figure 2.5. (a) – (e) Adsorption and desorption isotherms for CH4 on Fe(bdp) at temperatures of (a) 323K, (b) 248K obtained from the fitting to experimental data and (c) 175K, (d) 115K, and (e) 100K projected by the pressure‐induced LJM model. The adsorption and desorption transition pressures, P0,ads and P0,des are shown in (a) where they are farthest apart and (d) where they are equal at the
point of intersection. (f) Area enclosed by each pair of adsorption and desorption isotherms calculated graphically for each of the temperatures shown in (a) – (e) plus four additional
temperatures.
(a) (b)
(c) (d)
(e) (f)
PhD Thesis Shamsur Rahman 51
2.3.2 A thermodynamic model for hysteresis
Hysteresis is explained by pore opening np lp transitions being different to the reverse pore closing
lp np transitions. This is attributed to the fact that, once expanded to lp state under pressure, the
material remains in lp state even when the pressure is reduced and does not contract back to np state
until the pressure is sufficiently reduced and reaches a threshold contraction pressure. From
thermodynamic considerations, a host free energy penalty needs to be paid for the creation of new
surface when expansion occurs from np lp during adsorption. For the reverse transition from lp
np, no new surface needs to be created and hence no host free energy penalty is required.
Schneeman et al. [57] depict this as an energy barrier between the np and lp phases that can be used
to describe hysteresis qualitatively. A detailed discussion on the free energy method to analyse
structural transition behaviour is presented by Numaguchi et al. [68] while a full derivation of the host
free energy equations is provided by Coudert et al. [69]. Using a similar approach, we attempt to draw
host energy vs deformation diagrams for isothermal adsorption/desorption cycles of breathing
adsorbents in figure 2.6. The first diagram in figure 2.6(a) shows the scenario where we expect to see
hysteresis remain constant at a low asymptotic value as the temperature is less than or equal to the
temperature, Ti, at the point of intersection. In this case, the material is already predominantly in the
lp phase even before any adsorption. However, a small fraction of the framework still remains in the
np phase regardless of how low the temperature is. Thus only a small host free energy penalty is
required to create the extra surface and expand these few collapsed cells during adsorption. During
desorption, no host free energy penalty is required and hence the energy paths taken during
adsorption and desorption become very close to each other giving rise to a minimal amount of
hysteresis.
Figure 2.6(b) shows the energy path followed during adsorption and desorption when the
temperature is greater than Ti. A larger fraction of unit cells is now in the np phase and therefore, a
higher host free energy penalty is required for np lp transition during adsorption to create the
PhD Thesis Shamsur Rahman 52
additional surface in the lp phase. However, during desorption, the shortest energy path is followed
for the lp np transition as there is no need for the creation of any additional surface and hence no
energy barrier. Thus, the breathing‐out pressure becomes smaller than the breathing‐in pressure
giving rise to hysteresis.
The situation when the temperature is even higher is shown in figure 2.6 (c). In this case, a larger
fraction of unit cells is in the np phase and hence a larger surface needs to be created for np lp
transition during adsorption requiring a larger host free energy penalty. However, the reverse lp np
transition during desorption still follows the shortest energy path requiring no host free energy
penalty. Therefore, the difference between the breathing‐in and breathing‐out pressures is higher,
manifesting in a larger hysteresis.
To summarise, the hysteresis observed in a MOF’s stepped isotherm is due to the energy penalty
associated with increasing host surface area as np lp. No such energy barrier needs to be overcome
for the reverse lp np structural change: hence the isotherm’s desorption branch corresponds to
thermodynamic equilibrium, while the adsorption branch reflects the system accessing metastable
states. This indicates that the np lp structural transition is entropically driven with the lp state being
less‐ordered than the np state. Consequently, the np lp transition should be endothermic and can
only take place when the magnitude of the enthalpy of adsorption is greater than the magnitude of
the enthalpy associated with the np lp transition [66, 70]. The reverse transition lp np should be
exothermic.
PhD Thesis Shamsur Rahman 53
Figure 2.6. Energy paths followed during adsorption/desorption cycles when (a) T ≤ Ti where hysteresis is at its low asymptote as the energy paths during adsorption and desorption are closest to each other, (b) T > Ti giving rise to hysteresis as the energy path during adsorption is longer than
that during desorption and (c) T >> Ti where the effect of hysteresis is larger as the difference between the energy paths during adsorption and desorption are greater.
Hos
t fre
e en
ergy
Deformation
lp np
Host free energy penalty
(b) T > Ti
Hos
t fre
e en
ergy
Deformation
lp np Host free energy penalty
(c) T >> Ti
Hos
t fre
e en
ergy
Deformation
lp
(a) T ≤ Ti
Host free energy penalty
np
PhD Thesis Shamsur Rahman 54
The prediction of Ti is an interesting and useful artefact of the pressure‐induced LJM model. Although
it does not directly incorporate the physical mechanism causing the hysteresis, it is useful for
predicting the extent to which hysteresis can be minimized in a particular breathing material. This can
become an important design parameter should a particular process using the adsorbent consider
hysteresis as undesirable.
The breathing pressure coefficient, k, is a measure of the effect of temperature on the phase transition
of flexible adsorbents. As can be seen in figure 2.4, the slope of breathing‐out pressures (lp np) vs.
temperature is smaller than that for the breathing‐in pressures (np lp) vs. temperature. That is:
kdes < kads
This means that,
When T > Ti, then P0,ads > P0,des
When T < Ti, then P0,ads < P0,des
When T = Ti, then P0,ads = P0,des
Structurally, the difference in kads and kdes implies that the effect of temperature on phase transitions
between np and lp phases are not the same during adsorption and desorption. When P0,ads > P0,des, the
transition from collapsed to expanded state (np lp) is retained even when the stress is relaxed, and
the pressure falls below the breathing‐in pressure which caused the transition in the first place. Only
when the stress is further relaxed, and the pressure becomes sufficiently lower and reaches the
breathing‐out pressure does the reverse transition from the expanded to the collapsed state (lp np)
take place. However, as the temperature is reduced, the framework’s tendency to retain its expanded
state begins to diminish. Thus, the difference between the breathing‐in and breathing‐out pressure
also decreases and the adsorption and the desorption branches converge. Consequently, kdes < kads
becomes a necessary condition for hysteresis to appear in breathing isotherms.
PhD Thesis Shamsur Rahman 55
2.3.3 CH4 on Co(bdp)
As another example, a similar approach was taken to model CH4 adsorption and desorption on another
flexible MOF, Cobalt‐1,4‐benzenedipyrazolate, abbreviated as Co(bdp) [48]. 3‐D schematics of this
compound in both collapsed and expanded forms are shown in figure 2.7. The pressure‐induced LJM
model regressed on experimental isotherms and the Clausius‐Clapyron plots are presented in figure
2.8. The model is able to quantitatively describe all adsorption and desorption isotherms at all five
reported temperatures between 273 K and 323 K, as shown in figure 2.8(a) and (b) with a regression
R2 of 0.998 for adsorption and 0.994 for desorption. As with the previous regression, the ‐ΔH value of
14 kJ/mol predicted by the model was in close agreement with the 13.5 kJ/mol (expanded) value
reported in the experimental work [48]. The values of the other classical and LJM parameters are also
meaningful and listed in Appendix A3. For CH4 adsorption on Co(bdp), the temperature below which
hysteresis remains at its low asymptotic range is predicted to be ~ 175K.
Figure 2.7. 3D depiction of the solid‐state transformation of Co(bdp) from collapsed phase at 0 bar (Low ) to expanded phase at 30 bar (High ) [48].
PhD Thesis Shamsur Rahman 56
Figure 2.8. The pressure‐induced LJM model regressed on isothermal (a) adsorption and (b) desorption of CH4 on Co(bdp). Experimental data has been collected from reference [48]. The
model’s ability to quantify breathing isotherms at all five reported temperatures is demonstrated for both (a) adsorption and (b) desorption where solid and hollow symbols denote experimental data and the solid curves represent the pressure‐induced LJM model. (c) Plots for ln (P0) vs. 1/T for
adsorption (breathing‐in) and desorption (breathing‐out) showing that both sets of points fall on a straight line and justifying the use of the Clausius‐Clapyron equation and predicting the existence of
a point where P0,ads = P0,des.
2.4 Experimental work
As discussed above, the pressure‐induced LJM model predicts that at a sufficiently low temperature,
hysteresis in an adsorption/desorption isotherm should become very small and approach a low
asymptotic value for materials that exhibit breathing behavior. In order to validate this prediction,
y = -969.03x + 10.72
y = -579.14x + 8.4942
5
6
7
8
0.003 0.0035 0.004 0.0045 0.005 0.0055 0.006
ln (
P0)
1/T (1/K)
(c)
Point of intersection
PhD Thesis Shamsur Rahman 57
adsorption/desorption experiments were carried out on a breathing adsorbent. The material chosen
was a synthesized [59] zeolitic imidazole framework composed of Zn metal clusters connected with
1H‐benzimidazole linkers, abbreviated as ZIF‐7 [66, 71, 72].
Figure 2.9 (a) and (b) show the pressure‐induced LJM model regressed on equilibrium capacity
measurements, obtained using a Micromeritics ASAP2020 instrument, for the adsorption and
desorption of pure (>99.97%) CO2 on ZIF‐7 under isothermal conditions for five temperatures between
233K and 253K and pressures up to 1 bar. Contrary to the previous cases, using the adsorption
enthalpy for desorption in this case did not produce a good fit. Hence the enthalpy of adsorption was
used as separate fitting parameter for adsorption and desorption. This value was ‐ΔH = 28 kJ/mol for
adsorption and ‐ΔH = 28.9 kJ/mol for desorption. These values are in close proximity to the 27.6 kJ/mol
value reported by Arami‐Niya et al. [59] obtained by fitting the Langmuir‐Freundlich model to
measurements from high pressure experiments up to 40 bar. The fits indicate that the model is able
to quantitatively describe both adsorption and desorption isotherms at these temperatures. The
regression R2 was 0.994 for adsorption and 0.97 for desorption. The values of the other classical and
LJM parameters are also meaningful and listed in Appendix A3.
The Clausius‐Clapyron plot for ln(P0) vs 1/T is shown in figure 2.9 (c). This plot shows that the slope of
the breathing‐out branch is just slightly lower than the breathing‐in branch meaning that considerable
extrapolation of the lines are required to reach the point of intersection, which corresponds to a
temperature of 109K. Thus, although the original intent was to conduct measurements at the point of
intersection, this plot shows that the temperature at that point is outside the limits of our
experimental apparatus.
In order to study hysteresis, four sets of experimental adsorption and desorption isotherms were
compared with those obtained from the pressure‐induced LJM model for temperatures between 233K
and 247K. This comparison is shown in figure 2.10 (a) – (d). The area between the adsorption and
desorption isotherms can be used as a measure of hysteresis at each temperature. Both the shape of
PhD Thesis Shamsur Rahman 58
this area as well as the onset of hysteresis appear to be in agreement with the model. This area
becomes progressively smaller as the temperature is reduced, as predicted by the LJM model.
Although the lowest temperature (233K) allowed by our apparatus for performing the experiment was
well above the predicted Ti of 109K for this material, we still observed significant reduction in
hysteresis. Figure 2.10 (e) shows magnitudes of this enclosed area calculated graphically for each pairs
of isotherms and plotted against temperature. An exponential trendline can be fitted through these
points which also confirms that hysteresis decreases with temperature and reaches an asymptotic
value. We consider this observed trend of diminishing hysteresis with decreasing temperature to be
in agreement with the pressure‐induced LJM model’s prediction.
PhD Thesis Shamsur Rahman 59
Figure 2.9. The pressure‐induced LJM model regressed on low pressure isothermal (a) adsorption and (b) desorption of CO2 on ZIF‐7. Measurements were made using a Micromeritics ASAP2020
instrument. (c) Clausius‐Clapyron plots for ln (P0) vs. 1/T for isothermal adsorption (breathing‐in) and desorption (breathing‐out) of CO2 on ZIF‐7 between 233K and 247K showing that both sets of points
fall on a straight line and predicting the existence of a point where P0,ads = P0,des.
PhD Thesis Shamsur Rahman 60
PhD Thesis Shamsur Rahman 61
Figure 2.10. (a) – (d) Results of adsorption/desorption experiments of CO2 on ZIF‐7 illustrating the diminishing effect of hysteresis with decreasing temperature. The area between the adsorption and desorption isotherms can be used as a measure of hysteresis at each temperature. (e) Area enclosed by each pair of adsorption and desorption isotherms calculated graphically for temperatures up to
283K.
2.4.1 Hysteresis in non‐breathing adsorbents
Morishige and Tateishi [73] conducted single component isothermal adsorption/desorption of Ar, O2
and CO2 on SBA‐16 ordered mesoporous material, which is a non‐breathing solid adsorbent with
cagelike ink‐bottle pores, over a wide range of temperatures and pressures. In remarkable contrast to
our observations with flexible adosrbents, they reported hysteresis in these materials to become
PhD Thesis Shamsur Rahman 62
larger at lower temperatures and diminish and eventually disappear completely at higher
temperatures for all three gases [73]. They suggested that adsorption and desorption in an ink‐bottle
pore is similar to the process of disappearance and formation of a gas bubble in a liquid droplet
confined to the pore. For the formation and disappearance of these vapor bubbles, an energy barrier
needs to be overcome, which gives rise to hysteresis. At higher temperatures, it is easier to overcome
this energy barrier and hence hysteresis diminishes.
Neimark et al [74] presented results from a study involving capillary condensation hysteresis resulting
from low temperature sorption of Ar and N2 in nanoporous cylindrical channels of MCM‐41 type
mesoporous siliceous molecular sieves. For Ar, isothermal adsorption/desorption data obtained from
experiments at 77.9K, 93.9K and 99.9K were compared with results of nonlocal density function theory
calculations. In this case too, the hysteresis loop decreased in size with temperature, as evident from
both the experimental data and DFT calculations.
The examples above, when combined with our observations for Fe(bdp), Co(bdp), and ZIF‐7, show that
the effect of temperature on hysteresis depends very much on the mechanism of the
adsorption/desorption process taking place. Temperature appears to have an opposite correlation
with hysteresis in flexible adsorbents compared to those reported for rigid adsorbents. The reason for
this, we think, is that in flexible adsorbents, the main cause of hysteresis is structural change in the
solid itself, whereas in rigid materials adsorption hysteresis is caused mainly by the interaction of the
fluid molecules with the solid surface.
The only data we were able to find in the literature where hysteresis had a temperature correlation
similar to the one we observed for Fe(bdp), Co(bdp), and ZIF‐7 were those reported in 1989 by Burgess
et al [75], who provided a review of adsorption hysteresis of CO2, N2O and Xe on a number of porous
materials. In most of these materials, the size of the hysteresis loop was reported to decrease with
temperature. However, for adsorption of N2O on Vycor glass, hysteresis increased with temperature.
Likewise, for adsorption of CO2 on porous glass at temperatures below 217K, the hysteresis loop was
PhD Thesis Shamsur Rahman 63
also reported to expand with temperature [75]. For this material, hysteresis peaked at ~ 217K,
decreased as the temperature was further increased and completely disappeared at temperatures
above 259K. Low pressure hysteresis in these materials was attributed to swelling of the adsorbent
which, in many cases, required long periods of degassing at high temperature, in order to return to
their original form.
2.5 Further modelling
2.5.1 CO2 on mmen‐Fe2(dobpdc) and mmen‐Co2(dobpdc)
After modeling the adsorption of CH4 on two flexible MOFs successfully, an attempt was made at
modeling breathing behavior with a different gas. For this purpose, experimental data reported by
McDonald et al [64]. that covered CO2 adsorption on two MOFs, namely Iron(II)‐4,4'‐dioxidobiphenyl‐
3,3'‐dicarboxylate‐N,N'‐dimethylethylenediamine, abbreviated as mmen‐Fe2(dobpdc), and Cobalt‐
4,4'‐dioxidobiphenyl‐3,3'‐dicarboxylate‐N,N'‐dimethylethylenediamine, abbreviated as mmen‐
Co2(dobpdc), was used. Isothermal adsorption capacity measurements were reported at three
temperatures from 298 K to 323 K for pressures up to 110 kPa, as well as calculated values for the
enthalpy of adsorption.
For CO2 adsorption on these materials, no corresponding desorption data was reported. Therefore, it
was not possible to determine values for P0,des and Ti. The isotherm fits are presented in figure 2.11,
which confirms that the model is able to successfully quantify CO2 adsorption on both of these MOFs.
The regression R2 was 0.984 and 0.973, respectively, for mmen‐Fe2(dobpdc) and mmen‐Co2(dobpdc).
The enthalpy of adsorption predicted by the model was 51.8 kJ/mol for CO2 adsorption on mmen‐
Fe2(dobpdc) which was in rough agreement with the reported value of 57 kJ/mol obtained from
density function theory (DFT) calculations [64]. For CO2 adsorption on mmen‐Co2(dobpdc), the ‐ΔH
value predicted by the model was 42 kJ/mol which was also in approximate agreement with the
reported value of 47 kJ/mol obtained from DFT calculations [64]. The values of all other parameters
are also meaningful and are listed in Appendix A3.
PhD Thesis Shamsur Rahman 64
Figure 2.11. Demonstration of the pressure‐induced LJM model’s ability to quantify breathing
isotherms for the adsorption of CO2 on (a) mmen‐Fe2(dobpdc) and (b) mmen‐CO2(dobpdc) at three temperatures reported by McDonald et al [64]. Solid symbols denote experimental data and solid
curves represent the pressure‐induced LJM model.
2.5.2 CO2 on amino‐MIL‐53(Al)
The next dataset used for regressing the pressure‐induced LJM model is the adsorption and desorption
of CO2 on amino‐MIL‐53(Al) reported by Couck et al. [60] The solid‐state 3D structures of this material
in np and lp phases are shown in figure 2.12 (a) and (b) respectively. Amino‐MIL‐53(Al) is a well‐known
MOF and has been studied in great detail [58, 60, 76‐79]. This example was chosen because of high
adsorption capacity of amino‐MIL‐53 at low pressures (in the first stage of adsorption) that makes the
shape of the isotherm different from the previous examples. There appears to be a minor low‐pressure
phase transition taking place around 0.3 bar and the second breathing transition, which seems to be
the main np lp phase transition, is apparent at higher pressure. Consequently, a sharp increase in
the amount of gas adsorbed is featured at low pressures followed by a near‐flat region (saturation of
the preliminary cavities) and then a subsequent second sharp increase in the uptake. Once the
pressure becomes sufficiently high and reaches a threshold, the familiar np lp transition takes place
following similar principles described for stepped breathing.
PhD Thesis Shamsur Rahman 65
Figure 2.12. 3D structure of amino‐MIL‐53(Al) in (a) np and (b) lp phases. Color legend – yellow: Al, red: O, gray: C, and blue: N [80].
Experimental data for CO2 adsorption and desorption on amine‐functionalised amino‐MIL‐53(Al) was
used to investigate the pressure‐induced LJM model’s ability to quantify this type of isotherm shape.
Since desorption data is available, it is possible to determine the point of intersection of the breathing‐
in and breathing‐out pressures with the same approach used for CH4 on Fe(bdp) and Co(bdp). Results
of the model’s regression to experimental data are shown by the fits in figure 2.13. As before, the
desorption isotherms were regressed using only three parameters, βP, k and Po,ref while all other
parameters were fixed at values obtained from the adsorption fit. The regression R2 was 0.995 and
0.992 for the adsorption and desorption fits respectively. Since only two isotherms are available for
each regression, the uncertainties in the parameter values are expected to be higher than those
obtained from the previous fits. However, as a validation, the enthalpy of adsorption value of 36.7
kJ/mol predicted by the model is still in agreement with the reported value of 38.4 kJ/mol [60]. Other
parameter values are also meaningful and listed in Appendix A3. The predicted value for the
temperature at the point of intersection where P0,ads = P0,des was Ti ~ 6K. Since the
adsorption/desorption data is available only at two temperatures, only two points are available for
plotting the breathing‐in and breathing‐out straight lines in the breathing pressure vs. temperature
graph, resulting in higher uncertainties in the predicted values.
(a) np phase (b) lp phase
PhD Thesis Shamsur Rahman 66
Figure 2.13. Demonstration of the pressure‐induced LJM model’s ability to quantify double‐stepped breathing isotherms for CO2 (a) adsorption and (b) desorption on amino‐MIL‐53(Al) at two
temperatures reported in reference [60]. Solid symbols denote experimental data, and solid curves represent the pressure‐induced LJM model.
2.6 Process simulation
Simulation has become an integral part of the design exercise for major industrial processes involving
adsorption. However, to simulate any adsorption process, an isotherm model that is capable of
successfully quantifying the adsorption isotherms for the adsorbent being used is required. Since no
such isotherm model is available to date for breathing MOFs, no reliable simulation can be performed
for the entire range of pressures and temperatures at which breathing behaviour is exhibited.
Of course, a classical form of the isotherm model such as the Langmuir or the Toth model can still be
used to generate process simulation results. However, the validity of those results would be
questionable at temperatures and pressures at which the adsorption isotherms for the breathing MOF
deviates from the classical model. A similar approach is seen in the work of Gomez et al. [79] where
the Dubinin‐Astakhov (D‐A) model is used to introduce adjustments to the exponents of the classical
adsorption model and subsequently generate a series of simulation results for binary breakthrough
separation of a CO2/CH4 mixture using amino‐MIL‐53 (Al) as the adsorbent. However, the D‐A model’s
isotherm fits with experimental data are rather poor, even for the single temperature presented.
Importantly, the model fails to capture the distinct S‐Shaped feature of the breathing isotherm. Thus,
PhD Thesis Shamsur Rahman 67
the validity of all simulation results presented using the D‐A model as the isotherm model becomes
questionable, especially near breathing conditions where the model deviates the most from
experimental data.
The pressure‐induced LJM model developed and presented in this work can be used as an isotherm
model for performing process simulations. As this model can successfully predict both the single‐S
shaped and the double‐stepped isotherms as demonstrated above in the fits with experimental data,
it is expected that, for breathing MOFs, the results of the simulation will be significantly more reliable
than any simulation that uses a classical adsorption model as the isotherm model. To demonstrate
this, the model was first incorporated into the commercial simulation package ASPEN Adsorption by
encoding the governing equations into the software so that the model was now available as a user‐
defined isotherm model that could be selected to characterise any adsorption bed/column in the
simulation flowsheet. Two sets of simulations were then performed. The first simulation, as presented
and discussed in Appendix A5, was the dynamic breakthrough of an equimolar CH4/CO2 mixture using
a classical isotherm model and how the results differed when the pressure‐induced LJM model was
used. An equimolar composition was chosen to align with breakthrough experiments for the same
mixture conducted by Couck et al. [60] so that the simulation results could be compared with
experimental results reported in the literature. The second simulation was a pressure swing
adsorption simulation as discussed below.
2.6.1 Pressure swing adsorption simulation of an equimolar CH4/CO2 mixture
Pressure swing adsorption (PSA) is a technology widely used for separating gas mixtures. In recent
years, PSA applications have been a major motivating factor in the developments of hybrid adsorbents
including flexible materials such as breathing MOFs. Many of these materials have been designed with
the objective of providing superior separation performance when compared to traditional adsorbents
such as zeolite or carbon molecular sieve. One such conventional adsorbent is Zeolite 13X.
PhD Thesis Shamsur Rahman 68
Figure 2.14 (a) and (b) show pure component adsorption isotherms for CO2 and CH4 respectively on
amino‐MIL‐53(Al) at 303 K reported by Couck et al. [60] along with the regressed pressure‐induced
LJM model. If this material is used as an adsorbent in a PSA process at 303 K, the difference between
the CO2 and CH4 working capacity is highest when the cycle swing pressure is chosen to be around 6.4
and 20 bar, which corresponds approximately to the pressure across the transition region, as shown
in figure 2.14 (a) and figure 2.14 (b).
Pure component CO2 and CH4 adsorption isotherms for Zeolite 13X at the same temperature, obtained
by regressing the Toth model to published experimental data at three temperatures, are shown in
figure 2.14 (c) and (d). The regressions and the resulting parameters of the Toth model are available
in Appendix A6. The CO2 working capacity of Zeolite 13X is considerably smaller than that of amino‐
MIL‐53(Al), as shown in figure 2.14 (c). The CH4 working capacity is also slightly lower, as shown in
figure 2.14 (d). Thus, a PSA process using a cycle swing pressure of 6.4 ‐ 20 bar at 303K with amino‐
MIL‐53(Al) as the adsorbent is expected to produce superior separation of a CH4/CO2 mixture
compared to a PSA process using Zeolite 13X as the adsorbent.
In order to demonstrate that using the pressure across the breathing region of a flexible MOF as the
cycle swing pressure of a PSA process can produce superior separation, a two‐bed PSA process was
simulated, using the commercial simulation package ASPEN Adsorption, to separate an equimolar
mixture of CH4 and CO2 using amino‐MIL‐53(Al) as the adsorbent. The pressure‐induced LJM model
was used as a user‐defined isotherm model for both beds. The same simulation was then repeated
using Zeolite 13X as the adsorbent and the classical Toth model as the isotherm model to define the
adsorption beds. The ASPEN Adsorption flowsheet used for the simulations is shown in Appendix A7.
For amino‐MIL‐53(Al), the parameter values obtained from the regression of the pressure‐induced
LJM model on published adsorption data as discussed above and reported in Appendix A3 were used
as isotherm parameters. For Zeolite 13X, isotherm parameters obtained from the regression of the
Toth model, as shown in Appendix A6, on published CO2 and CH4 adsorption data [81] was used.
PhD Thesis Shamsur Rahman 69
The column dimensions and the values of the adsorbent properties used are listed in Appendix A7.
These values have been collected from the literature for both amino‐MIL‐53(Al) and Zeolite 13X [79,
82].
One major limitation of the simulation package that makes it particularly unsuitable for modelling
processes involving flexible adsorbents is that it only allows fixed values for the inter‐ and intra‐particle
voidage. For breathing MOFs, of course, both these values are expected to change during the
adsorption/desorption processes as the MOF structure undergoes transitions from collapsed to
expanded states and vice versa. Another limitation is that for each bed, only one set of isotherm
parameters can be used for each gas meaning that the same parameters are used to model both
adsorption and desorption (bed regeneration) , i.e, hysteresis is not accounted for. In spite of these
limitations, the simulation was carried out.
The parameters for the PSA cycle are given in Appendix A7. A feed composition of 50% CH4 + 50% CO2
was used. Initial compositions of the product and the beds were set as equal to the feed.
Figure 2.15 shows the results of the PSA simulation as a plot of the composition of the product stream
against time. Amino‐MIL‐53(Al), being CO2 selective in the chosen swing pressure range and having
higher CO2 working capacity compared to Zeolite 13X, rapidly brings the CO2 mole fraction in the
product stream to less than 0.1 resulting in far superior separation performance compared to Zeolite
13X, which has a much smaller CO2 working capacity in the given pressure range.
PhD Thesis Shamsur Rahman 70
Figure 2.14. Illustration of CO2 and CH4[ [(a) and (b) respectively] isothermal working capacity of amino‐MIL‐53 (Al) for a PSA cycle swing pressure of 6.4 – 20 bar that corresponds to the adsorbent’s CO2 breathing region. Zeolite 13X has a much smaller CO2 working capacity[(c)] in the same pressure range and also a lower CH4 working capacity[(d)]. Hence, under identical conditions, amino‐MIL‐53 (Al) is expected to produce superior CO2/CH4 separation performance compared to Zeolite 13X when
used as an adsorbent in a PSA process.
PhD Thesis Shamsur Rahman 71
Figure 2.15. Comparison between amino‐MIL‐53(Al) and Zeolite 13X as adsorbents used in a two‐bed PSA simulation with an equimolar CH4/CO2 feed. Variation in product stream composition with time show that a far superior separation performance can be achieved using amino‐MIL‐53(Al) as the adsorbent. The pressure‐induced LJM model was used as the isotherm model to characterise the adsorbent bed for amino‐MIL‐53(Al) while the classical Toth model was used for Zeolite 13X.
PhD Thesis Shamsur Rahman 72
2.7 Concluding remarks
An empirical model has been proposed to mathematically express adsorption and desorption
isotherms of gate‐opening flexible adosrbents. The model was tested successfully by regressing
literature and experimental data for breathing isotherms for the adsorption and desorption of CH4
and CO2 by a number of flexible adsorbents over a wide range of temperature. The model uses
considerably fewer fitting parameters compared to other models that have attempted to quantify
breathing isotherms and is particularly useful for process design. Uncertainties in fitting parameters
were significantly lower compared to the values of the parameters themselves, except for the cases
where experimental data was available only at a few temperatures. The enthalpies of adsorption
predicted by the model were in agreement with the reported values for all the gas‐adsorbent pairs
used in the regressions.
The model is consistent with existing explanations of the breathing mechanism and includes
quantification of hysteresis. For breathing isotherms with hysteresis, the model predicts that
hysteresis diminishes with decreasing temperature and reaches a very small asymptotic value when
the temperature corresponds to the point of intersection of the breathing‐in transition pressure line
and the breathing‐out transition pressure line where P0,ads = P0,des. As the temperature is further
reduced, no significant change in the magnitude of hysteresis is expected. The temperature, Ti, at the
point of intersection is thought of as being the temperature at which the fraction of np unit cells in
the framework reaches a minimum. This fraction remains unchanged as the temperature is further
reduced suggesting that, at low pressures, a small portion of the framework remains in np phase
regardless of how low the temperature is. In order to expand these cells during adsorption, an energy
barrier must be overcome to create the extra surface for np lp transition, resulting in hysteresis.
Hence, hysteresis in these materials does not disappear completely but is more likely to remain steady
at an asymptotic value at temperatures below Ti.
PhD Thesis Shamsur Rahman 73
The model is particularly useful for simulating industrial adsorption processes involving breathing
adsorbents. This was previously not possible as existing models were incapable of quantifying
isothermal adsorption/desorption capacities for materials that exhibit breathing behaviour.
There are observed variations in the breathing behaviour, for example, those including negative
adsorption [83], which the current form of the model is unable to quantify. Further understanding of
the unusual structural transitions that cause these exceptions is required before conducting a
quantitative analysis. However, the model’s ability to address the most common types of breathing
isotherms has been well‐demonstrated in this work, and upon further development, it is expected
that a wider array of breathing phenomena can be accounted for.
In the next chapter, we shift our focus away from flexible MOF’s towards more conventional rigid
adsorbents namely zeolites and activated carbon. We detail a series of experimental attempts to alter
structures of these materials with the intention of improving their adsorptive separation performance.
We demonstrate how selectivity and capacity of these adsorbents are affected by certain chemical
treatment procedures and examine the results in light of specific gas separation applications.
PhD Thesis Shamsur Rahman 74
Chapter 3
Effect of Structural Manipulations on Selectivity and
Capacity of Zeolite Y
3.1 Introduction
Pressure swing adsorption (PSA) is a cost‐effective and energy‐efficient technology that can
potentially replace conventional cryogenic distillation as a method to separate N2 from natural gas
during LNG production. There is a strong interest in the natural gas industry to adopt and implement
this new technology due to the high power consumption associated with maintaining the conditions
for distillation‐based separation processes [12, 16, 19]. However, for cost‐effective CH4/N2 separation,
PSA relies on the availability of adsorbents with high CH4 capacity and high CH4/N2 selectivity [27, 28,
30]. This desirable combination is unfortunately not found in readily available adsorbents. While some
recent developments involving metal organic frameworks (MOFs) have reported high CH4/N2
selectivity [84‐86], the CH4 capacity of these materials is significantly lower than those of existing
commercially available materials such as activated carbon [28].
One of the goals of this research project was therefore to develop novel materials that combine both
desirable properties of capacity and selectivity. The approach involved identifying structural
characteristics that play key roles in the adsorption mechanisms of existing materials and developing
synthesis methods that implement structural modifications in order to achieve enhancement in
CH4/N2 separation. To determine the effect of the performed modifications, a series of structural
characterisations and adsorption analyses were conducted on parent materials, final products and on
intermediate entities obtained at different stages of synthesis.
PhD Thesis Shamsur Rahman 75
3.2 Zeolite structures
For this work, the base materials of primary interest were zeolites. These are microporous adsorbents
consisting of a crystalline framework of SiO4 and AlO4 arranged in a regular assemblage forming an
open‐lattice structure requiring cations, usually Na+ or K+, to balance the negative charges induced on
the framework by the aluminum atoms [25]. Regularly arranged tetrahedral building units form an
open crystal lattice within the framework containing uniform pores with no distribution in pore size –
a unique feature that distinguishes zeolites from other adsorbents such as carbon. These uniform
pores allow gas molecules of dimensions smaller than the pore size to penetrate the lattice during
adsorption while preventing larger molecules from entering the pores. During desorption, the
previously adsorbed molecules are usually readily released from the pores allowing the adsorbent
material to be regenerated for reuse [25, 87, 88].
Due to the presence of aluminum, the zeolite framework is inherently negatively charged as each
aluminum atom induces one negative charge on the framework. In order to balance this negative
charge, cations are required to make zeolite structures stable. The cations commonly present in
zeolites are Na+ and K+. Along with pore size and other structural features, these cations also play an
important role in determining adsorptive properties of zeolites. Figure 3.1 shows crystal framework
structure of two common zeolites, namely zeolite X/Y (Faujasite) and zeolite A (Linde Type A).
PhD Thesis Shamsur Rahman 76
(a) (b)
Figure 3.1. Framework of (a) zeolite X/Y and (b) zeolite A [25].
3.2.1 Role of the cation on the adsorption mechanism
Physical adsorption involves both van der Waals forces (dispersion‐repulsion) and electrostatic forces
arising from polarization, dipole and quadrupole interactions. While dispersion‐repulsion forces are
always present, for adsorbents such as zeolites which have an ionic structure, the electrostatic
contributions are also significant [25]. The total adsorption potential, ΦTotal, is a measure of the
strength of all interactions taking place and is given by [89]:
where φadsorbate – adsorbate is the potential for interactions between the gas molecules and φadsorbate
– adsorbent is the potential for interactions between the gas molecules and the adsorbent surface.
Assuming that φadsorbate – adsorbate << φadsorbate – adsorbent, the adsorption potential can be
approximated as:
PhD Thesis Shamsur Rahman 77
ΦTotal = φadsorbate – adsorbent (Eq. 3.2)
Expanding φadsorbate – adsorbent to include the contribution of all the individual forces, ΦTotal
becomes:
ΦTotal = φD + φR + φInd + φFμ + φFQ (Eq. 3.3)
where φD and φR represent the interaction potentials due to the dispersion and repulsion forces
respectively, φInd represents the potential due to interaction between the electric field and induced
dipole, φFμ represents the potential due to interaction between the electric field and permanent dipole
and φFQ represents the potential due to interaction between the electric field and quadrupole.
Expanding further, φInd can be expressed as
12
2 (Eq. 3.4)
where F is the electric field and α is the polarizability, defined as the ease of distortion of the electron
cloud of an atom or molecule – a property specific to the type of gas molecule being adsorbed [90].
CH4, for example, has a polarizability almost 1.5 times higher than N2 [91] Thus, CH4 molecules will
generate higher interaction potential, φInd, than N2 molecules when interacting with the same
adsorbent.
The cation present in the zeolite framework is an entity that significantly affects the interaction
potential φInd. A cation directly affects the electric field generated by the zeolite and, being positively
charged, also has the ability to polarize or distort the electron cloud of a target gas molecule. A
measure of this cationic ability is a quantity known as polarizing power which varies significantly with
different types of cations [91]. Thus the cation is an important element of the zeolite structure that
can be used to manipulate adsorption characteristics. The ability of the cation to influence adsorptive
properties was taken advantage of in this work by adopting a process called ion‐exchange where the
PhD Thesis Shamsur Rahman 78
cation of a zeolite is replaced by another target cation, thereby altering adsorption characteristics
according to requirements.
3.2.2 Ionic Liquidic Zeolites (ILZs)
For a binary mixture at a fixed temperature and pressure, the equilibrium selectivity, α1/2, of
component 1 over component 2 s given by [28, 92]
//
/ (Eq. 3.5)
where and are equilibrium adsorption capacities and and are equilibrium mole fractions
in the gas phase of components 1 and 2 respectively. For single component adsorption of a pure gas,
equation Eq. 3.5 simplifies to
/ (Eq. 3.6)
The Na+ and K+ ions commonly present in zeolites are small in size meaning that the charge is
concentrated in a small volume leading to high charge density. If these ions can be replaced by larger
monovalent cations, then the charge would be distributed over a larger spatial dimension and the
charge density would be lower. This would increase the cation’s “power” to distort the electron cloud
of a large inbound gas molecule such as CH4 and interact with it more strongly. Thus the interaction
potential φInd, between the adsorbent and the CH4 molecule can increase, resulting in considerably
higher adsorption capacity and selectivity for CH4 compared to another gas molecule such as N2 which
is small in size and thereby provides less room for its electron cloud to be distorted. This mechanism
has been supported by ab initio density functional theory (DFT) calculations used to estimate
interaction energies between gas molecules and adsorbent surfaces [93]. The proposed synthesis
route for replacement of zeolite cations is through an ion exchange process, where an ionic compound
in liquid state is made to react with a zeolite producing a novel adsorbent material, termed Ionic
Liquidic Zeolite (ILZ). Using this method, it was demonstrated in previous work conducted in our
PhD Thesis Shamsur Rahman 79
research group that it is possible to design and implement modifications to zeolite structures which
will result in enhanced separation performance for CH4/N2 gas mixtures [93].
3.2.3 Organic cations
Organic cations are generally bulky in size and consequently possess higher polarization power than
small inorganic ions such as Na+ or K+ [93]. One such cation, tetramethylammonium+ (TMA+) found in
ionic form in its commercially available salt tetramethylammonium chloride (TMA‐Cl), is considered
as a potential candidate for cation replacement in zeolites. The structure of this salt is shown in figure
3.2. By performing ion exchange with this salt, the Na+ cations in the Faujasite zeolite NaX or NaY can
be replaced by TMA+ resulting in the Ionic Liquidic Zeolite TMAX or TMAY. Faujasite is chosen as the
parent zeolite because it contains a large central cavity pore volume with sufficient room for the TMA+
cation. Figure 3.3(a) shows the structure of NaX or NaY while figure 3.3(b) shows a schematic of the
TMAX or TMAY structure synthesised through ion exchange between Na+ and TMA+ ions.
3.2.4 Synthesis of TMAY
With respect to separation of CH4/N2 gas mixtures, TMAY has been the most promising ILZ synthesised
so far [93]. Its synthesis procedure involved treating a commercially available NaY zeolite in powder
form (NaY ‐ CBV100 supplied by Zeolyst International) with 0.5 M aqueous TMA‐Cl solution at 40 °C
for 5 hours in a shaking water bath set at 120 oscillations per minute. The resulting solid was filtered
and washed twice with deionized water before repeating the treatment for a second round of ion‐
exchange. After two‐rounds of treatment, the samples were air‐dried in an oven at 80 °C for 12 hours.
The resulting solid powder was then pelletised by first compressing into compact discs in a hydraulic
press and then cutting into small pellets.
PhD Thesis Shamsur Rahman 80
Figure 3.2. Structure of Tetramethylammonium Chloride (TMA‐Cl) [94].
(a) (b)
Figure 3.3. (a) Structure of Faujasite zeolite NaX/NaY [89]. (b) Structure of TMA‐X or TMA‐Y synthesised through ion exchange [95].
Initial experiments with TMA+ & NaX and TMA+ & NaY showed that it is indeed possible to synthesise
novel adsorbent materials by ion exchange, as described above [93]. However, only about 30% of the
Na+ cations present in NaY could be replaced with TMA+ while the proportion was much lower with
NaX. This observation is attributed to the fact that the inner cavity of both NaX and NaY are occupied
with Na+ ions making it considerably difficult for the larger TMA+ cations to enter the cavity through
the 12‐member oxygen ring (12MR) aperture of Faujasite. NaY, with a higher Si/Al ratio than NaX, has
fewer Na+ ions and hence more room for TMA+ to enter the cavity and replace the Na+ ions.
PhD Thesis Shamsur Rahman 81
The first step in this experimental study was therefore to repeat the synthesis procedure with other
available variants of the Faujasite zeolite with increasingly higher Si/Al ratios. It should be noted,
however, that with increasing Si/Al ratios the negative charges on the framework decreases resulting
in fewer TMA+ cations that are attracted. The goal therefore was to determine the optimum Si/Al ratio
in Faujasites that will allow the highest number of TMA+ cations to be introduced into their inner
cavity.
Adsorption analyses were performed alongside the synthesis experiments in order to determine single
component CH4 and N2 adsorption capacity and selectivity of the parent zeolites as well as each new
adsorbent material synthesised. Comparisons were made in order to evaluate the adsorption
performance of the novel materials relative to each other as well as their parent zeolites.
Microscopic imaging studies were also performed on the synthesised novel materials as well as their
parent zeolites in order to detect structural modifications that have been implemented. Facilities at
the UWA Centre for Microscopy, Characterisation and Analysis (CMCA) were used for imaging‐based
studies.
PhD Thesis Shamsur Rahman 82
3.3 Characterisation of existing zeolite‐based adsorbents
A number of Ionic Liquidic Zeolite (ILZ) materials were synthesised in our research group prior to the
start of this project [93, 96]. In this work, a series of characterisation experiments were initially
conducted to determine the optimum composition and experimental conditions of the previously
synthesised adsorbents to use as a basis for further developments.
3.3.1 Adsorption measurements
Single component adsorption analyses were conducted using a commercial adsorption analyser –
Micromeritics ASAP2020. This instrument has an automatic degas functionality where adsorbents are
subjected to predefined temperature ramping under vacuum. A schematic of the instrument is shown
in figure 3.4.
Figure 3.4. Micromeritics ASAP 2020 used for single component adsorption analyses.
The gases used for single component adsorption analysis in the ASAP were supplied by BOC Australia.
As stated by the supplier the functional purities of these gases were CH4 99.995% and N2 99.999%. In
this work, these gases are referred to as pure CH4 and pure N2.
Sample (Degas)
Sample (Analysis)
Glycol Bath
Temperature Control
PhD Thesis Shamsur Rahman 83
3.3.2 Effect of Si/Al ratio
Adsorption analyses were conducted on two ILZ variants, termed TMAY‐CBV100 and TMAY‐CBV720,
which were synthesised prior to the start of this doctoral project [97]. Both of these materials were
synthesised using commercial Zeolite Y powders purchased from Zeolyst International, Netherlands.
The relevant information regarding the parent materials, as provided by the manufacturer [98], are
listed in Table 3.1 below.
Table 3.1. Structural and chemical composition of CBV100 and CBV720 parent zeolites.
The H+ cation present in the parent zeolite of TMAY – CBV720 is smaller in size compared to the Na+
cation present in the parent zeolite of TMAY – CBV100. This means the cations occupy less cavity space
in CBV720 than they do in CBV100 leading to the expectation that there should be more room for
bulky TMA+ cations in the CBV720 cavity than in the CBV100 cavity allowing for more TMA+ cations to
be introduced during ion exchange. However, the surface area of CBV720 is smaller than that of
CBV100 implying that the effects of surface area on adsorption are less favourable in CBV720. Both
ILZs were degassed for 5h at 180 °C under vacuum before performing adsorption analyses. Figure 3.5
shows adsorption isotherms of TMAY – CBV100 and TMAY – CBV720 for CH4 and N2 at different
temperatures. The data used in the plots are presented in tabular form in Appendix D1.
Si/Al ratio of parent zeolite
Nominal cation form in parent zeolite
BET surface area of parent zeolite (m2/g)
TMAY – CBV100 2.55 Na+ 900
TMAY – CBV720 15 H+ 780
PhD Thesis Shamsur Rahman 84
Figure 3.5. Adsorption isotherms at different temperatures for TMAY – (a) CBV100 with CH4, (b) CBV720 with CH4, (c) CBV100 with N2 and (d) CBV720 with N2.
As shown by the plots above, at all temperatures both CH4 and N2 adsorption capacities are higher for
TMAY‐CBV100 than TMAY‐CBV720. This can be attributed to the fact that CBV100 surface area is
higher than that of CBV720. Also, Na+ is larger in size than H+ meaning that it may have a stronger
ability to distort electron clouds of CH4 molecules, as explained in section 3.2.2. Thus, the interaction
potential between the guest molecules and the Na+ cation is likely to be higher than that between the
guest molecules and the H+ cation. This is also an indication that both ILZs, even after ion exchange
with TMA+, still contain a significant portion of their original cations whose roles are apparent in their
adsorption performance.
PhD Thesis Shamsur Rahman 85
3.3.3 Regression to isotherm models
The Langmuir Isotherm model is widely used in adsorption studies to describe the adsorption of gas
molecules onto solid adsorbents. This model is based on the assumption that adsorption takes place
on the surface of the solid adsorbents only as a monolayer of gas molecules on a fixed number of
vacant sites which are of equal size and shape and can each hold a maximum of one molecule [25, 44].
A constant amount of heat is released when each molecule is adsorbed, making adsorption an
exothermic process. Furthermore, dynamic equilibrium exists between the adsorbed gas molecules
and the free gas molecules such that
where A(g) is an unadsorbed gas molecule, B(s) is a vacant site on the adsorbent surface and AB
represents an adsorbed gas molecule on site B.
Based on the above assumptions, the Langmuir model can be mathematically expressed as follows:
(Eq. 3.7)
(Eq. 3.8)
where q is the quantity adsorbed, qm is the monolayer adsorption capacity, b0 is the gas‐solid affinity
coefficient, Q is the enthalpy of adsorption, P is the pressure, T is the Temperature and R is the gas
constant. Figure 3.6 below shows the Langmuir model fitted to the CH4 and N2 adsorption isotherms
reported above for TMAY‐CBV100 and TMAY‐CBV720.
PhD Thesis Shamsur Rahman 86
Figure 3.6. The Langmuir isotherm model (line) fitted to adsorption data (circles) at ‐15 °C, 0 °C and 30 °C for TMAY – (a) CBV100 with CH4, (b) CBV720 with CH4, (c) CBV100 with N2 and (d) CBV720 with
N2.
The values of the Langmuir fitting parameters are listed in Table 3.2 below.
Table 3.2. Parameters for the Langmuir isotherm model.
Adsorbent Gas qm (mol/kg) b0 (1/Pa) Q (kJ/mol) Fit – Average R2
TMAY‐CBV100 CH4 3.02 1.17x10‐6 18.5 0.9994
TMAY‐CBV100 N2 0.996 5.02x10‐6 14 0.9975
TMAY‐CBV720 CH4 1.04 1.92x10‐5 12 0.9993
TMAY‐CBV720 N2 0.85 1.27x10‐4 5.4 0.9884
PhD Thesis Shamsur Rahman 87
The enthalpy of adsorption, also known as the isosteric heat of adsorption, is defined as the ratio of
the infinitesimal change in the adsorbate enthalpy to the infinitesimal change in the amount adsorbed
[89]. This is an important parameter that gives a measure of energy favourability of adsorption
processes. An adsorption process with a higher enthalpy of adsorption is more energetically
favourable than an adsorption process with a lower enthalpy of adsorption. As this quantity is one of
the parameters (Q) for the Langmuir Isotherm Model, values for enthalpy of adsorption can be
extracted from Langmuir fits to experimental data. These values obtained from the experiments
described above are listed in Table 3.3 along with values reported in the literature.
PhD Thesis Shamsur Rahman 88
Table 3.3. Comparison of enthalpy of adsorption values obtained in this work with values reported in
the literature.
Among the adsorption processes in this particular experiment, the highest Q value of 18.5 kJ/mol was
obtained for CH4 adsorption on TMAY‐CBV100. This value is comparable to the reported value of 18.9
for CH4 adsorption on NaY with a Si/Al ratio close to that of the parent zeolite CBV100. This suggests
Adsorbent Si/Al Gas This work Literature (kJ/mol)
(kJ/mol) Talu et
al. [99] Salem et al. [100]
Maurin et al. [101]
TMAY‐CBV100 2.55 CH4 18.5
TMAY‐CBV720 15 CH4 12
NaY 2.2 CH4 18.9
MgY 2.2 CH4 19.5
CaY 2.2 CH4 22.3
Zeolite 13X 1.18 CH4 17.53
Active Carbon AS ‐ CH4 14.35
TMAY‐CBV100 2.55 N2 14
TMAY‐CBV720 15 N2 5.5
NaX 1 N2 19 ± 0.11
KX 1 N2 14 ± 0.08
CaX 1 N2 27 ± 0.16
Zeolite 13X 1.18 N2 13.91
Active Carbon AS ‐ N2 11.95
PhD Thesis Shamsur Rahman 89
that replacing 30% [93] of Na+ ions in the parent zeolite does not have significant effect on the
enthalpy of adsorption. However, it is notable that TMAY‐CBV720 has a much lower enthalpy of
adsorption for both CH4 and N2 compared to that of TMAY‐CBV100. This is most likely due to the fact
that CBV100 has a larger BET surface area than CBV720. The lowest enthalpy value of 5.5 kJ/mol was
obtained for N2 adsorption on TMAY‐CBV720 implying that this was the least energy favourable
adsorption process.
As TMAY‐CBV100 produced more desirable results compared to TMAY‐CBV720, the CBV100 variant of
Zeolite Y was chosen as the parent material for further synthesis of ILZs. Henceforth, unless otherwise
mentioned, TMAY‐CBV100 will be referred to simply as “TMAY” and the parent zeolite NaY‐CBV100
will be referred to as “NaY’.
3.3.4 TMAY vs parent zeolite
Figure 3.7 shows CH4 and N2 adsorption isotherms for both TMAY and the parent Zeolite NaY at two
different temperatures. At both temperatures, TMAY has higher CH4 adsorption capacity and lower
N2 capacity compared to NaY. Both enhancement in CH4 capacity and suppression in N2 capacity are
attributed to the presence of TMA+ cation.
TMAY is used as the base reference material in this project. All subsequent results are compared with
TMAY data in order to determine whether or not enhancement in adsorptive separation has been
achieved over the performance of TMAY.
PhD Thesis Shamsur Rahman 90
Figure 3.7. Adsorption isotherms of TMAY and parent zeolite NaY at (a) 0 °C with CH4, (b) 0 °C with N2, (c) 30 °C with CH4 and (d) 30 °C with N2.
3.3.5 Effect of degassing
All results reported in this section are from adsorption analyses of materials which have been
subjected to rigorous degassing procedures at elevated temperatures under vacuum. In order to
determine the effect of degassing on the adsorptive performance of ILZs, single component
adsorption analysis using pure CH4 was conducted at two temperatures, 0 °C0 °C and 30 °C0 °C, on a
TMAY sample that has not been degassed and the isotherms were compared to those from a TMAY
PhD Thesis Shamsur Rahman 91
sample that has been degassed for 5h at 180 °C under vacuum. The results of this comparison are
shown in figure 3.8.
Figure 3.8. Adsorption isotherms of degassed and not degassed TMAY at (a) 0 °C with CH4, (b) 30 °C with CH4.
As illustrated by the plots above, if not degassed properly, TMAY completely loses its ability to adsorb
CH4. A likely explanation of this phenomenon is that the zeolite adsorbs moisture from the atmosphere
which causes the pores to be completely occupied resulting in the prevention of adsorption. These
results align with reported effects of moisture on the adsorption behaviour of zeolites [102]. As such,
before performing adsorption analyses, all TMA containing compounds were degassed at 180 °C for
5h under vacuum. NaY was degassed at 300 °C for the same duration.
3.4 Novel zeolite‐based adsorbents
3.4.1 Synthesis
Synthesis of novel materials were carried out using standard wet chemistry procedures that involved
homogeneous mixing under controlled temperatures. For procedures that require temperatures
below 90 °C, a shaking water bath with controllable temperature and oscillations per minute, as shown
in figure 3.9(a) was used. For temperatures above 90 °C, a Teflon coated autoclave, with a magnetic
PhD Thesis Shamsur Rahman 92
stirrer placed inside, was used on an electric hot plate with controllable temperature and rpm. This
arrangement is shown in figure 3.9(b). Synthesis products were filtered using filter papers and air dried
in an oven at temperatures ranging between 50 °C and 80 °C.
(a) (b)
Figure 3.9. (a) Shaking water bath used for synthesis temperatures below 90 °C (b) Teflon autoclave
and electric hotplate used for synthesis temperatures above 90 °C.
3.4.2 Effect of intermediate cations
As the Mg2+ cation is divalent, fewer Mg2+ cations are needed to balance the negative charges on the
Zeolite framework compared to Na+ ions. Furthermore, as it has been reported that using smaller sized
organic cations result in higher ion exchange rate [93], our expectation was that Mg2+, being smaller
in size than Na+, should also favour increased TMA+ introduction. Compared to that of NaY, there
should be more room in the cavity of an MgY zeolite for introduction of a bulky cation such as TMA+.
Based on this hypothesis, attempt was made to synthesize a new variant of ILZ with Mg2+ as the
intermediate cation. The synthesis involved a three‐step ion exchange approach with Mg2+
introduction taking place in the first step and TMA+ introduction taking place in the second and third
steps. NaY powder was first treated with 0.5 M aqueous MgCl2 for 8h at 50 °C in a shaking water bath.
The resulting suspension was filtered, washed with DI water and dried before being treated twice with
0.5 M aqueous TMA‐Cl for another 6h at 40 °C, filtering, washing and drying the product after each
Autoclave Teflon container Hot plate
PhD Thesis Shamsur Rahman 93
treatment. The resulting material is referred to as TMA‐Mg‐Y. CH4 and N2 adsorption isotherms for
TMA‐Mg‐Y at two temperatures, 0 °C and 30 °C, are shown below in figure 3.10.
Figure 3.10. Adsorption isotherms of TMAY, TMA‐Mg‐Y and NaY at (a) 0 °C with CH4, (b) 0 °C with N2, (c) 30 °C with CH4, and (d) 30 °C with N2.
At 0 °C, CH4 adsorption capacity is clearly enhanced for TMA‐Mg‐Y compared to the parent zeolite
NaY, although the enhancement is not as much as that produced by TMAY. At 30 °C, no noticeable
enhancement is seen for TMA‐Mg‐Y. N2 adsorption is suppressed in TMA‐Mg‐Y at both temperatures.
At 0 °C, N2 suppression is close to that of TMAY while at 30 °C, it is less. As a consequence, both CH4
capacity and CH4/N2 selectivity are lower in TMA‐Mg‐Y than in TMAY. These results indicate that
PhD Thesis Shamsur Rahman 94
amount of TMA+ ions that have been introduced is less in TMA‐Mg‐Y than in TMAY. A possible
explanation could be that Mg2+ ions are preferred as cations in the zeolite cavity and are therefore
difficult to replace, even after repeated ion exchange treatments.
3.4.3 Effect of alkalinity
Alkaline medium has been reported to cause the formation of mesopores on the zeolite surface [103].
Presence of mesopores should also facilitate the introduction of bulky cations such as TMA+ during
ion‐exchange. In order to test the effect this has on adsorption, two new ILZs were synthesised. The
first material, referred to as TMA‐Base‐NaY, was synthesised using a two‐step process in which the
parent zeolite NaY was first treated with 0.5 M aqueous NaOH for 24h at 80 °C followed by filtration,
drying and a second ion‐exchange treatment with 0.5 M aqueous TMA‐Cl for 6h at 40 °C, also followed
by filtration and drying.
CH4 and N2 adsorption isotherms of this material at 0 °C are shown in figure 3.11, along with TMAY for
comparison. Both CH4 and N2 adsorption isotherms for TMA‐Base‐NaY are almost identical to the
isotherms for TMAY, indicating that there is no apparent effect of this particular alkaline environment
on the adsorption performance of this ILZ.
Figure 3.11. Adsorption isotherms of TMAY, TMA‐Base‐Y and NaY at (a) 0 °C with CH4 and (b) 0 °C with N2.
PhD Thesis Shamsur Rahman 95
The second material, referred to as TMAOH‐NaY, was synthesised using a one‐step process in which
the parent zeolite NaY was treated with 0.5 M aqueous TMAOH for 6h at 40 °C followed by filtration
and drying. The TMAOH solution used in the treatment was prepared by diluting commercially
available TMAOH pentahydrate crystals [(CH3)4N(OH) ∙5H2O] sourced from Sigma‐Aldrich Australia.
CH4 and N2 adsorption isotherms for this material at two temperatures, 0 °C and 30 °C, are shown in
figure 3.12 below. At 0 °C, both CH4 and N2 adsorption isotherms of TMAOH‐NaY almost overlap with
that of TMAY.. Thus, no significant change in capacity or selectivity can be observed with TMAOH‐NaY.
At 30 °C, CH4 capacity of TMAOH‐NaY is lower than that of TMAY and N2 capacity of TMAOH‐NaY is
higher than that of TMAY, resulting in a loss of CH4/N2 selectivity. Thus, TMAOH‐NaY does not perform
as well as TMAY for separation of CH4/N2 at 30 °C.
PhD Thesis Shamsur Rahman 96
Figure 3.12. Adsorption isotherms of TMAY, TMAOH‐NaY and NaY at (a) 0 °C with CH4, (b) 0 °C with N2, (c) 30 °C with CH4, and (d) 30 °C with N2.
3.4.4 Effect of H+ cation
As discussed in section 3.2.2, TMAY‐CBV720, an ILZ synthesised from a parent zeolite containing H+ as
the cation, did not perform as well as TMAY. However, this material had a Si/Al ratio 7 times higher
than that of TMAY. In order to determine whether lower Si/Al ratio zeolites containing H+ cations
would have any enhancement in performance, two new zeolites, HY400 and HY600 (manufacturer’s
brand names: HY – CBV400 and HY – CBV600 respectively), with lower Si/Al ratios were used as parent
materials for new ILZ synthesis. The relevant properties of these two HY zeolites, as provided by the
manufacturer Zeolyst International, Netherlands, are mentioned in Table 3.4.
PhD Thesis Shamsur Rahman 97
Table 3.4. Structural and chemical composition of HY400 and HY600 parent zeolites.
Parent Zeolite Si/Al ratio Nominal cation form in parent zeolite
BET surface area of parent zeolite (m2/g)
HY400 2.55 H+ 730
HY600 2.6 H+ 660
The ion exchange process for synthesizing ILZs using the above materials involves an acid base reaction
approach anticipated as:
TMAOH + HY TMAY + H2O (R2)
HY400 was treated with 0.5 M aqueous TMAOH for 6h at 40 °C and the suspension was filtered,
washed with DI water and dried. The resulting material was termed as TMAOH‐HY400. Using the same
method with the other parent zeolite, a second variant, termed as TMAOH‐HY600, was synthesised.
CH4 and N2 adsorption isotherms at 0 °C are shown in figure 3.13 for both materials along with TMAY
for comparison.
Figure 3.13. Adsorption isotherms of TMAY, TMAOH‐HY600 and TMAOH‐HY400 at (a) 0 °C with CH4, and (b) 0 °C with N2.
At 0 °C, both CH4 and N2 capacities are highest for TMAY, followed by TMAOH‐HY600 and TMAOH‐
HY400. However, the ratio of CH4 capacity to N2 capacity is higher for TMAOH‐HY400 compared to
PhD Thesis Shamsur Rahman 98
that of TMAY and TMAOH‐HY600, implying that CH4/N2 selectivity is also higher for TMAOH‐HY400
compared to the other two adsorbents.
Using equation Eq. 3.6, at 0 °C and 100kPa, CH4/N2 selectivity for TMAOH‐HY400, TMAOH‐HY600 and
TMAY respectively are 4.25, 3.92 and 3.91.
Since TMAOH‐HY400 produced considerably higher CH4/N2 selectivity than TMAY at 0 °C, it is of
interest to see how this adsorbent performs at 30 °C. Figure 3.14 shows CH4 and N2 adsorption
isotherms for TMAOH‐HY400 and TMAY at 30 °C.
Figure 3.14. Adsorption isotherms of TMAY and TMAOH‐HY400 at (a) 30 °C with CH4 and (b) 30 °C with N2.
As with 0 °C, both CH4 and N2 capacities are still higher for TMAY, but the difference between the two
adsorbents’ capacities, especially for N2, is lower. Using equation Eq. 3.6 to calculate the CH4/N2
selectivity at 30 °C and 100kPa, gives 4.99 for TMAY and 4.03 for TMAY‐HY400. Thus, although TMAY‐
HY400 supersedes TMAY in terms of selectivity at 0 °C, it fails to do the same at 30 °C.
3.5 Novel carbon‐based adsorbents
The microporous structure of zeolites is highly beneficial for selective adsorption based on the size of
the gas molecules – a process known as molecular sieving. However, the sole presence of a
PhD Thesis Shamsur Rahman 99
microporous network also imposes a significant limitation on the diffusion of larger molecules into
and from the active sites confined within the zeolite crystals [31]. As a result, guest molecules are
unable to access all the active sites and a limitation is imposed on the adsorption capacity.
Furthermore, due to restricted access and low diffusion coefficients, the adsorption kinetics are
hindered, even when the micropores are larger than the size of the guest molecules.
In order to solve the diffusion limitation problem associated with conventional microporous zeolites,
great efforts have been made over the last decade on finding ways to improve the pore architecture
of zeolites. Among new materials developed, the most promising are zeolites featuring hierarchical
porosity with at least two levels of pore size – the inherent zeolite microporosity and an additional
level of induced mesoporosity. This new architecture can be created either by generating intra‐
crystalline mesopores inside the microporous zeolite crystals or by inducing inter‐crystalline
mesopores in between the nano‐sized zeolite crystals. In hierarchical zeolites, the essential feature of
selective molecular sieving is provided by the intracrystalline micropores and efficient mass transfer
is facilitated by the increased diffusivity and reduced diffusion path length due to the presence of the
mesopore structures [31].
The method reported to be most successful in synthesising hierarchical zeolites involves using carbon
based mesoporous materials such as carbon nanoparticles, nanotubes, nanofibers, aerogels or
ordered mesoporous carbons as a template matrix for growing zeolite crystals. Several examples of
carbon‐templated zeolites synthesised using different types of carbon materials as templates are
depicted in figure 3.15.
PhD Thesis Shamsur Rahman 100
Figure 3.15. Diagram showing mesoporous zeolite templated by (a) carbon nanoparticles, (b) carbon nanotubes, (c) carbon aerogel and (d) 3D ordered mesoporous 3DOm carbon [31].
A second route for synthesizing hierarchical zeolites is through demetallization involving either
dealumination or desilication where mesopore structures are introduced into pre‐synthesised zeolite
crystals through selective removal of aluminium or silicon atoms from the zeolite framework. Figure
3.16 illustrates the mechanism in one such method that involves desilication. Depending on the Si/Al
ratio in the zeolite, an alkaline medium can extract Si atoms from the zeolite framework causing the
formation of mesopores. This effect is most prominent in zeolites with high Si/Al ratio because the Al
atoms prevent the Si atoms they are bound to through oxygen from being extracted. However, as
most zeolites contain more Si than Al (Si/Al > 1), an alkaline environment can cause, although to a
lesser extent, desilication to take place even in low Si/Al zeolites, resulting in the formation of
mesopores in the zeolite framework [103].
This work aimed to develop a zeolite architecture consisting of both micropore and mesopore
structures in order to significantly enhance adsorbent performance for gas separation applications. A
synthesis route similar to the demetallization procedure described above was employed, using a
commercially available Faujasite type zeolite as the first parent material. However, the method was
PhD Thesis Shamsur Rahman 101
modified to introduce mesoporous activated carbon into the zeolite surface simultaneously with
demetallization. This process is fundamentally different from the carbon‐templated zeolite synthesis
described above as pre‐synthesised stable zeolites are used as the starting material as opposed to
growing zeolite crystals on a carbon‐template. The resulting materials, termed as Carbon Enhanced
Zeolites (CEZs), were subjected to characterisation, adsorption analyses and imaging studies and will
be discussed in detail in Chapter 4.
Attempt was then made to extend this principle in synthesizing ILZs with a similar architecture
consisting both micropores and mesopores. This was done by adding a simultaneous ion‐exchange
process for TMA+ introduction during the demetallization and carbon introduction processes
described above for CEZ synthesis. The resulting materials were termed as Carbon Enhanced Ionic
Liquidic Zeolites (CE‐ILZs) and also subjected to characterisation, adsorption analyses and imaging
studies. All adsorbents were degassed for 12h at 200 °C under vacuum prior to conducting adsorption
analyses.
Figure 3.16. Schematic showing the influence of Si/Al ratio on the desilication effect of MFI zeolites treated in NaOH solution and the associated mechanism of mesopore formation [103].
PhD Thesis Shamsur Rahman 102
3.5.1 Acid functionalisation
Activated carbon, a low‐cost material with a large surface area and a wide pore size distribution, has
considerable merit in industrial gas adsorption applications [28]. It is known for higher CH4 adsorption
capacity compared to that of zeolites [28]. However, the CH4/N2 selectivity of this material is lower
than ILZs such as TMAY [93]. In an effort to combine the selectivity of TMAY with the capacity of
activated carbon, a series of synthesis procedures were carried out in attempts to produce carbon‐
based materials with selectivity values similar to those of ILZs, while retaining or enhancing the CH4
adsorption capacity of activated carbon. The synthesis methods were based on using commercial
activated carbon as parent materials and performing surface functionalisation that would enable ion
exchange leading to TMA introduction, as discussed in section 3.2.3.
As carbon is a non‐ionic (covalent) compound, it is not possible to introduce cations directly into the
carbon structure, in the manner it is done with zeolites. In order to perform ion‐exchange reactions
to introduce cations into carbon, it is first necessary to functionalise the carbon surface. The most
common method to functionalise carbon, as reported in the literature, is through treatment with a
concentrated acid [104, 105]. It has been reported that treating the carbon with nitric acid, a strong
oxidizing agent, results in carboxyl groups being implanted on the carbon surface according to the
reaction [106]:
(R1)
As the carboxyl group contains an H+ ion, it should be possible in theory to replace it with a TMA+ ion.
Furthermore, presence of ionic carboxyl groups on the carbon surface means that electrostatic
interaction between the adsorbent and specific gas molecules is now enhanced.
PhD Thesis Shamsur Rahman 103
It should be noted that this approach is a novel attempt to improve adsorption capacity of carbon by
introducing organic cations to the carbon surface. Acid treatment is used to functionalise the carbon
surface to enable possible introduction of cations. Acid treatment alone is not expected to produce
capacity enhancements. The literature cited above [106] describes acid treatment as a method for
functionalising carbon surface.
Norit RB3, a commercial activated carbon manufactured by Cabot Corporation, Boston, USA, was
treated with 35% HNO3 for 6h at 90 °C before filtering out the liquid and adding fresh HNO3 to continue
the treatment for an additional 3h. The residue was filtered, washed with DI water and dried. A portion
of this intermediate compound, termed Acid‐Carbon1, was then treated with 0.5 M aqueous TMA‐Cl
for 6h at 40 °C before being filtered, washed and dried again. The final product is referred to as TMA‐
Carbon1. Using the same method but changing the HNO3 concentration to 60% and the TMA‐Cl
concentration to 5M, a second variant, termed TMA‐Carbon2, was synthesised. The intermediate acid‐
treated compound for this second variant is referred to as Acid‐Carbon2. The anticipated reaction
scheme is as follows:
Step 1 – Acid treatment of carbon:
Step 2 – TMA exchange of acid treated carbon:
+ 2TMA‐Cl + 2 HCl
TMA
TMA
PhD Thesis Shamsur Rahman 104
CH4 and N2 adsorption isotherms at 0 °C for both variants are shown in figure 3.17 and figure 3.18
along with the baseline for the activated carbon parent material.
Figure 3.17. Adsorption isotherms of carbon (activated carbon Norit RB3), Acid‐Carbon1 and TMA‐Carbon1 at (a) 0 °C with CH4 and (b) 0 °C with N2.
Figure 3.18. Adsorption isotherms of carbon (activated carbon Norit RB3), Acid‐Carbon2 and TMA‐Carbon2 at (a) 0 °C with CH4 and (b) 0 °C with N2.
PhD Thesis Shamsur Rahman 105
As illustrated by the plots, acid treatment reduces both CH4 and N2 adsorption capacity of activated
carbon and the capacities are further reduced after treatment with TMA‐Cl. When the acid
concentration is increased, the suppressions in capacities are even greater, both due to the acid
treatment and the TMA‐Cl treatment. A possible hypothetical explanation of this effect could lie in the
corrosive nature of the HNO3 used. The acid may cause damages to the pore structure of the carbon
and effectively reduce the surface area. Accordingly, using higher acid concentration can cause more
severe damage leading to greater reduction in adsorption capacity. This hypothesis can be tested by
conducting 77K N2 sorption experiments to measure BET surface area of the parent carbon as well as
the acid‐treated and the TMA‐exchanged carbons.
Another explanation could be that the carboxyl groups that functionalise the carbon surface through
acid treatment block the entrance to the pores and the bulky TMA+ ions that are introduced through
ion exchange cause further blockage. This theory also explains the greater reduction in capacity with
increasing acid concentration.
To avoid the detrimental effect of the acid on the carbon, attempt was made to perform TMA‐
exchange directly on the carbon, skipping the acid‐treatment step. Accordingly, the same activated
carbon parent material was treated with 5M TMA‐Cl for 6h at 40 °C and the resulting compound,
referred to as TMA‐Carbon4 was filtered, washed with DI water and dried. Figure 3.19 shows CH4 and
N2 adsorption isotherms for this material along with those for the parent carbon.
PhD Thesis Shamsur Rahman 106
Figure 3.19. Adsorption isotherms of carbon (activated carbon Norit RB3) and TMA‐Carbon3 at (a) 0 °C with CH4 and (b) 0 °C with N2.
As shown in the plots, both CH4 and N2 isotherms are almost identical implying that, in absence of
acid, TMA‐Cl has no apparent effect on the carbon.
Since acid treatment is necessary for carbon functionalisation but hinders adsorptive performance,
attempt was made to synthesise another variant of acid‐functionalised carbon material using a
minimum acid concentration and perform TMA‐exchange with maximum TMA‐Cl concentration. This
time, the activated carbon was treated with 9% HNO3 for 6h at 90 °C before filtering out the liquid and
adding fresh HNO3 to continue the treatment for an additional 3h. The residue, referred to as Acid‐
Carbon4, was filtered, washed with DI water and dried. A portion of this intermediate compound was
then treated with 19M aqueous TMA‐Cl for 6h at 40 °C before being filtered, washed and dried again.
The end product is referred to as TMA‐Carbon4. CH4 and N2 adsorption isotherms for this material
along with those for the base carbon material are shown in figure 3.20.
PhD Thesis Shamsur Rahman 107
Figure 3.20. Adsorption isotherms of carbon (activated carbon Norit RB3) and TMA‐Carbon4 at (a) 0 °C with CH4 and (b) 0 °C with N2.
As shown in the plots, both CH4 and N2 capacities are lower for TMA‐Carbon4 compared to the parent
carbon, indicating that, the modified treatment procedure is also unable to produce enhancements in
adsorptive performance of activated carbon.
3.5.2 Acid base reaction approach
It is thought that the reaction described in section 3.5.1 is not favourable because the product acid
HCl is stronger than the reactant carboxylic acid. The scheme was therefore modified to a more
favourable acid‐base reaction, as suggested in the literature [107], followed by an ion‐exchange
process, as described below:
Acid base step:
+ 2 NaOH + 2 H2O
Ion exchange step:
Na
Na
PhD Thesis Shamsur Rahman 108
+ 2 TMA‐Cl + 2 NaCl
In order to implement this modified scheme, Acid‐Carbon4, whose synthesis is described above in
section 3.5.1, was treated with 0.5 M NaOH for 1h at room temperature. After filtering, washing with
DI water and drying, the residue was treated with 0.5 M TMA‐Cl for 6h at 40 °C and once again filtered,
washed and dried. CH4 and N2 adsorption isotherms for this material, referred to as TMA‐Acid Base
Carbon, together with those for the parent carbon are shown in figure 3.21.
TMA
TMANa
Na
PhD Thesis Shamsur Rahman 109
Figure 3.21. Adsorption isotherms of carbon (activated carbon Norit RB3) and TMA‐AcidBaseCarbon at (a) 0 °C with CH4 and (b) 0 °C with N2.
The plots show that the modified treatment procedure involving acid base reaction has suppressed
both CH4 and N2 adsorption capacities of activated carbon by almost the same amount resulting in no
net gain in either selectivity or capacity. Thus, the modified procedure also fails to produce any
noticeable enhancement in the performance of activated carbon as an adsorbent.
3.5.3 Alkaline treatment
As neither the acid treatment procedure nor the modified procedure involving acid base reaction
produced desirable results, it was of interest to see if treatment with a base alone has any effect on
the adsorption performance of activated carbon. Norit R2030, another commercially available
activated carbon also manufactured by Cabot Corporation was used for this analysis. This material was
treated with 4M NaOH for 6h at 90 °C followed by filtration, washing with DI water and drying. Figure
3.22 shows CH4 and N2 adsorption isotherms for this material, referred to as Base‐Carbon, along with
those for the parent material.
PhD Thesis Shamsur Rahman 110
Figure 3.22. Adsorption isotherms of activated carbon and Base‐Carbon at (a) 0 °C with CH4 and (b) 0 °C with N2.
As can be seen from the plots above, the isotherms for the parent carbon and the base‐treated carbon
are identical, indicating that base‐treatment has no apparent effect on adsorption characteristics of
activated carbon.
3.5.4 APS functionalisation
Another method suggested for functionalizing carbon surface involves the use of acidic ammonium
persulfate (APS) as the oxidizing agent [108‐111]. Prolonged APS treatment at high temperature is
reported to enable pore reopening after carbon functionalisation, as depicted in figure 3.23.
PhD Thesis Shamsur Rahman 111
Figure 3.23. Schematic showing pore opening of functionalised carbon surface under increased oxidation temperature and duration [108].
In order to implement this method, activated carbon Norit R2030 was treated with 1M APS in 2M
aqueous H2SO4 in a Teflon autoclave for 24h at 120 °C. The residue was filtered, washed with DI water,
and dried. A portion of this material, referred to as APS‐Carbon, was then treated with 0.5 M NaOH
for 24h at 50 °C in order to carry out an acid base reaction and subjected again to filtration, washing
and drying. Finally, in order to perform ion exchange, the residual material was treated with 0.5 M
TMA‐Cl before carrying out the last round of filtration, washing and drying. CH4 and N2 adsorption
isotherms at 0 °C for the final product, referred to as TMA‐APS‐Carbon and the intermediate product,
APS‐Carbon, are shown in figure 3.24 along with the isotherms for the parent carbon material.
PhD Thesis Shamsur Rahman 112
Figure 3.24. Adsorption isotherms of activated carbon, TMA‐APS‐Carbon, and APS‐Carbon at (a) 0 °C with CH4 and (b) 0 °C with N2.
As illustrated by the plots, APS treatment reduces both CH4 and N2 adsorption capacities for activated
carbon. However, TMA‐exchange causes the capacities to increase again, although they are still lower
than the capacities of the parent materials. The increase in CH4 capacity due to the presence of TMA+
was seen in the case of ILZs and can be explained by increased interaction between CH4 and TMA+.
However, the increase in N2 capacity after TMA exchange is a phenomenon that was not observed
with ILZs and is difficult to explain at this stage. In any case, as this effect causes loss in selectivity, the
results of this experiment show that the modified synthesis route involving APS functionalisation
followed by TMA exchange is also not successful in enhancing adsorptive performance of activated
carbon with respect to CH4/N2 separation.
3.5.6 Carbon Enhanced Ionic Liquidic Zeolites
As a further attempt to improve CH4/N2 selectivity of Carbon enhanced zeolites, a modified synthesis
procedure involving a one‐step reaction scheme was employed. A mixture of 10% activated carbon
Norit R2030 and 90% NaY by mass was treated with 0.5 M aqueous TMAOH for 24 h at 80 C. This
scheme is anticipated to enable simultaneous execution of three processes: (i) TMA‐exchange, (ii)
PhD Thesis Shamsur Rahman 113
formation of mesopores due to the alkaline environment and (iii) carbon introduction. The residue
was filtered, washed with DI water and dried. Figure 3.25 shows CH4 and N2 adsorption isotherms of
this material, termed Carbon‐E‐TMAY1, at 0 °C and 30 °C.
Figure 3.25. Adsorption isotherms of activated carbon, Carbon‐E‐TMAY1, TMAY and NaY at (a) 0 °C with CH4, (b) 0 °C with N2, (c) 30 °C with CH4 and (d) 30 °C with N2.
At 0 °C, CH4 adsorption capacity of Carbon‐E‐TMAY1 is 20% higher than that of TMAY and 79% higher
than NaY while N2 adsorption capacity of Carbon‐E‐TMAY1 is 15% higher than TMAY but 18% lower
than NaY. At 30 °C, CH4 adsorption capacity of Carbon‐E‐TMAY1 is 8% higher than TMAY and 51%
higher than NaY while N2 adsorption capacity of Carbon‐E‐TMAY1 is 30% higher than TMAY but 41%
PhD Thesis Shamsur Rahman 114
lower than NaY. Table 3.5 below shows a relative comparison of CH4 capacity and CH4/N2 selectivity
for four materials: activated carbon R2030, Carbon‐E‐TMAY1, TMAY and the parent zeolite NaY.
Table 3.5. Comparison of CH4 capacity and CH4/N2 selectivity of Carbon‐E‐TMAY1 with competitor adsorbents for CH4/N2 separation.
Temperature
& Pressure
0 °C, 1 bar 30 °C, 1 bar
Adsorbent CH4 Capacity(mmol/g)
CH4/N2
selectivity CH4 Capacity (mmol/g)
CH4/N2 selectivity
Activated Carbon R2030 1.22 2.93 0.75 3.12
Carbon‐E‐TMAY1 1.03 4.12 0.54 4.13
TMAY 0.86 3.91 0.5 4.99
NaY 0.57 1.84 0.35 1.6
At 0 °C, both CH4 capacity and CH4/N2 selectivity of Carbon‐E‐TMAY1 exceeds that of TMAY, making
Carbon‐E‐TMAY1 the first material to outperform TMAY in terms of both capacity and selectivity at 0
°C, although Carbon‐E‐TMAY1 is still unable to exceed the selectivity of TMAY at 30 °C. CH4 Capacity
of activated carbon is the highest at both temperatures but in terms of selectivity, it falls behind
both TMAY and Carbon‐E‐TMAY1.
3.6 Concluding remarks
In this chapter, we have demonstrated, experimentally, that critical structural features such as pore
architecture, chemical composition, crystal structure, surface morphology and presence of organic
cations play vital roles in determining characteristic properties of adsorbents. We determined the
optimum Si/Al ratio for Zeolite Y that produces the most desirable results for CH4/N2 separation and
used this to synthesise a number of novel adsorbents using NaY as the parent material. We also
confirmed that using an intermediate cation such as Mg2+ does not enhance the separation
performance of the final product. Similarly using a parent zeolite with a smaller cation such as H+ also
does not produce any desired enhancements. Thus, we established that a parent zeolite Y with a Si/Al
PhD Thesis Shamsur Rahman 115
ratio of 2.55 and Na+ as the parent cation is likely to produce the most desirable CH4/N2 separation
enhancements when subjected to TMA‐exchange.
We also synthesised a number of novel carbon‐based adsorbents in order to analyse the effect of
treating activated carbon with oxidising agents such as HNO3 and APS and reducing agents such as
NaOH. Although a number of synthesis routes have been reported in the literature for combining
carbon with zeolite, the method proposed in this work is different in the sense that it uses
commercially available zeolite Y and activated carbon as the raw material and does not require zeolite
crystals to be synthesised in the laboratory.
Structural features within adsorbent materials can be manipulated to alter capacity and selectivity;
however, the changes implemented do not always produce desired results. For example, our
expectation was that performing TMA‐exchange on acid‐functionalised carbon will result in enhanced
CH4 adsorption and suppressed N2 adsorption leading to higher CH4/N2 selectivity. However, the
results obtained showed an opposite effect. Likewise, separation performance of CE‐ILZ was similar
to that of ILZ. Significant enhancement was not observed even after introduction of carbon into the
TMAY framework.
In the next Chapter, we demonstrate that massive gains in both CH4 and N2 capacity were observed
unexpectedly upon introduction of carbon solely on the NaY framework, leading to the formation of
Carbon Enhanced Zeolite (CEZ). This was an interesting observation which has been investigated in
detail in Chapter 4 to understand how adsorption occurs on this material and what role carbon plays
in its enhancement.
PhD Thesis Shamsur Rahman 116
Chapter 4
Carbon Enhanced Zeolite
4.1 Introduction
Significant amount of work has been done in recent years to develop methods for combining carbon
with zeolite – a crystalline aluminosilicate material containing a highly ordered network of micropores
and a narrow distribution of pore size. The majority of this work has been driven by industrial
application of zeolites in catalysis with a desire to overcome diffusion limitation by using carbon to
introduce mesopores either inside or in between zeolite crystals, thereby allowing faster mass transfer
of large reactant and product molecules. Wei et al. [31] provided a comprehensive review of the
different methods, primarily based on using carbon templates to grow zeolite crystals, that are used
for this purpose.
A method for synthesising carbon‐zeolite composites, directed towards application in adsorptive
separation of gas mixtures, was described by Zhang et al. [112]. This method involves subjecting
naturally occurring Elutrilithe to carbonization, CO2‐activation and hydrothermal treatment with
NaOH followed by surface modifications and calcination. Samples with different carbon‐contents were
synthesised and the material containing the largest proportion of carbon was reported to have the
highest CH4/N2 selectivity. Capturing CH4 from low grade coal bed methane was suggested as a
possible application for this adsorbent.
Coal fly ash, a by‐product of coal‐fired electric power plants, can also be converted into carbon‐zeolite
composites. Primary objective of doing this is to simply convert an environmentally harmful material
into a product that is less hazardous and can potentially be used in industrial applications such as
adsorption and catalysis. Miyake et al. [113] and Jha et al. [114] described a method based on fusion
with NaOH followed by hydrothermal treatments that can be used to convert coal fly ash to carbon‐
PhD Thesis Shamsur Rahman 117
zeolite composites. The resulting products were reported to be able to adsorb toxic Pb2+, Cu2+, Cd2+
and Ni2+ metal ions from solutions with a suggested application in industrial waste water purification.
In this work, we present a method, considerably simpler than the ones described above, to enclose
zeolite crystals in a mesoporos carbon layer, distinguishing that the approach is notably different from
growing the crystals on a carbon template as described by Wei et al. [31]. Our synthesis route involves
subjecting commercially available Zeolite Y and activated carbon to standard wet chemistry
procedures to enclose the zeolite in a mesoporous carbon film and does not require in‐situ
preparation of zeolite crystals. Motivated by widespread use of zeolites in adsorption processes, we
demonstrate using single‐component CH4 and N2 sorption experiments that the resulting product has
undergone significant enhancement in adsorption capacity compared to both the original zeolite and
the carbon from which it was synthesised. We then focus on understanding the cause of this
enhancement by studying the structural changes that took place within the material. In order to do
this, we employ a series of characterisation techniques, the findings from which are presented and
discussed in the following sections.
4.2 Synthesis
Three adsorbent materials were considered in this work. The first is a commercially available zeolite Y
(Faujasite), NaY CBV100, obtained from Zeolyst International in powder form. This material, referred
to as NaY in this work, was used in all experiments without any physical alteration. The second
adsorbent is a commercially available activated carbon, Norit R‐2030, obtained from Cabot
Corporation in extruded‐rod form. Prior to use in experiments, this material, referred to as C‐R2030,
was crushed into fine particles in a pneumatic press with an applied pressure of 20,000 psi.
The third material was synthesised in the laboratory using the two commercially available adsorbents
described above as parent materials. A mixture of 10% C‐R2030 and 90% NaY by mass was treated
with a 3M aqueous NaOH solution at 80 °C for 24 hours in a shaking water bath set to 120 rpm. The
PhD Thesis Shamsur Rahman 118
residue was then collected by filtration and air‐dried at 50 °C for 24 hours. The resulting material is
referred to as carbon enhanced zeolite (CEZ) and used in all subsequent experiments described in this
work. Additional products were also synthesised by varying the carbon content of the initial mixture
as well as the concentration of the NaOH solution used in the treatment. Results of sorption
experiments conducted on these additional materials that illustrate the effect of carbon content and
NaOH concentration were used to determine the optimum levels mentioned above and are presented
in Appendix B1 and B2.
4.3 Characterisation
4.3.1 Chemical composition
Results of Inductively Coupled Plasma (ICP) tests conducted on NaY and CEZ are shown in Table 4.1.
The results show a decrease in Si content and increase in Al and Na content in CEZ compared to the
parent NaY. Desilication in zeolites is expected to be caused by NaOH treatment, as reported by Groen
et al. [103]. Due to desilication, some of the Si is removed from the zeolite. As a consequence,
percentage of Al in the framework increases leading to an increased concentration of negative charges
requiring a corresponding counter increase in positively charged Na+. The Si/Al ratio of 2.54 for NaY is
in close agreement with the Si/Al ratio of 2.55 provided by the supplier.
Table 4.1. Results of ICP tests conducted on NaY and CEZ. Si/Al ratio was calculated from the results.
% by mass Ratio
Na (Mw = 23) Al (Mw =26.98) Si (Mw = 28.09) Si/Al
NaY 6.72 8.69 23 2.54
CEZ 8.29 10.24 17.5 1.64
Thermogravimetric Analysis (TGA) was conducted to determine the carbon‐content of NaY, C‐R2030
and CEZ. The results are shown in figure 4.1. As expected, the results confirmed that NaY does not
contain any carbon while C‐R2030 contains about 89% carbon by mass that can combust in air. The
remaining 11% is likely to be ash and impurities. The mass of CEZ dropped by 14% when combusted
PhD Thesis Shamsur Rahman 119
in air. Taking into consideration the 11% ash and impurities in C‐R2030, the carbon content of CEZ
becomes 12%.
Figure 4.1. Results of Thermogravimetric analysis conducted on (a) NaY, (b) C‐R2030 and (c) CEZ. The red line shows the change in mass of the sample with the corresponding change in temperature
(blue line).
4.3.2 X‐ray Diffraction
Figure 4.2 shows results of X‐ray Diffraction (XRD) analysis on CEZ and NaY. Both materials produce
XRD patterns typical of zeolite Y. However, the pattern for CEZ has a left‐shift compared to NaY,
indicating pore expansion. This left‐shift is more pronounced at higher angles.
PhD Thesis Shamsur Rahman 120
Figure 4.2. X‐ray Diffraction (XRD) patterns for NaY and CEZ.
4.3.3 Surface area and pore volume
BET surface area and micropore area of NaY, CEZ and C‐R2030 obtained from 77K N2 sorption
conducted individually on all three materials using a Micromeritics ASAP2020 instrument are shown
in Table 4.2. The mesopore area was calculated by subtracting the micropore area from the BET
surface area. Among the three materials, C‐R2030 has the largest BET surface area while CEZ has the
smallest. This means that a loss in surface takes place during the synthesis process of CEZ, implying
that some of the walls in between the crystal cavities may have been broken. This effect would reduce
the surface area but would create larger cavities with higher volumes. Also, the contribution of
mesopores in the surface area of CEZ is almost double that of NaY. The additional mesopores could
have been created not only by joining together of smaller cavities to form bigger ones but also due to
the presence of mesoporous carbon in CEZ.
PhD Thesis Shamsur Rahman 121
Table 4.2. Surface area measurements of NaY, CEZ and C‐R2030 obtained from 77K N2 sorption. Manufacturer's surface area for NaY (parent zeolite of TMAY ‐ CBV100) is available in Table 3.1.
Adsorbent BET Surface Area (m2/g) Micropore Area (m2/g)
Mesopore area as a % of BET Area
NaY 648 605 6.6%
CEZ 601 529 12.0%
C‐R2030 716 575 19.7%
Total pore volume of NaY, CEZ and C‐R2030 obtained from 77K N2 sorption is shown in Table 4.3. As
expected, the pore volume of CEZ is higher than that of NaY, further indicating that intracrystalline
walls have been broken causing larger cavities to be formed.
Table 4.3. Pore volume measurements of NaY, CEZ and C‐R2030 obtained from 77K N2 sorption.
Adsorbent Total pore volume at 1 bar (cm3/g)
NaY 0.368
CEZ 0.406
C‐R2030 0.394
4.3.4 Sorption experiments
Single component N2 and CH4 sorption experiments were conducted on CEZ, NaY and C‐R2030 at three
temperatures under isothermal conditions over a pressure range up to 70 bars. As this pressure range
is well‐outside the operating limits of the ASAP2020, these high pressure sorption experiments were
conducted using a custom‐built computer‐controlled Sieverts apparatus [115] available at the
Hydrogen Storage Research Laboratory of Curtin University. The principal components of this setup is
outlined below in figure 4.3. The gas used was purchased from BOC Australia and was certified to
contain 99.999% N2 and 99.995% CH4 respectively.
PhD Thesis Shamsur Rahman 122
Figure 4.3. Setup of the Sieverts apparatus used to conduct high pressure sorption experiments. The sample cell is wrapped in aluminium foil for insulation and submerged into the temperature control
bath during experiments to maintain isothermal conditions, as shown in the inset.
Enhancement in N2 adsorption capacity
Single component N2 adsorption isotherms for CEZ, C‐R2030 and NaY at 0 °C, 15 °C and 30 °C are
shown respectively in figures 4.4 (a), (b) and (c). At all three temperatures CEZ displays significantly
higher N2 capacity than its parent NaY as well as the C‐R2030 additive. At a pressure of 35 bar, for
example, the capacity compared to NaY is enhanced by 150% at 0 °C, 167% at 15 °C and 265% at 30
°C. This is a remarkable observation given that CEZ contains only 12% carbon and the XRD pattern
shows typical characteristics of zeolite Y. Furthermore, the capacity of CEZ even exceeds that of the
C‐R2030 additive. At 35 bar, capacity enhancement over C‐R2030 is 25% at 0 °C, 21% at 15 °C and 19%
at 30 °C. Interestingly, the enhancement over NaY increases at higher temperature while that over C‐
PhD Thesis Shamsur Rahman 123
R2030 decreases with increasing temperature. As the pressure is further increased, the CEZ isotherm
reaches a maximum and bends over, a characteristic feature of excess adsorption at high pressure
[116],[117].
Figure 4.4. Single component N2 adsorption isotherms for CEZ, C‐R2030 and NaY obtained using a custom‐built computer‐controlled Sieverts apparatus under isothermal conditions at (a) 0 °C, (b) 15
°C and (c) 30 °C.
Enhancement in CH4 adsorption capacity
Isotherms for single component adsorption of CEZ, C‐R2030 and NaY at 0 °C, 15 °C and 30 °C are shown
respectively in figures 4.5 (a), (b) and (c). Similar to N2 adsorption, CH4 capacity of CEZ is also higher
than both C‐R2030 and NaY at all three temperatures. At a pressure of 30 bar, the enhancement in
CH4 capacity over NaY is 12% at 0 °C, 21% at 15 °C and 69% at 30 °C. Although the enhancement is
PhD Thesis Shamsur Rahman 124
smaller than that observed with N2, the trend is still the same, meaning that the gain in capacity
increases at higher temperatures. With respect to C‐R2030, the enhancement in CH4 capacity at 30
bar is 11% at 0 °C and 8% at 15 °C. At 30 °C, no gain in capacity is observed as the CEZ and C‐R2030
isotherms almost overlap. Thus, as with N2, enhancement in CH4 capacity over C‐R2030 also diminishes
with increasing temperature. Hence, CEZ displays similar temperature‐dependent enhancement
trends with both N2 and CH4 but the magnitude of enhancement is greater with N2.
Figure 4.5. Single component CH4 adsorption isotherms for CEZ, C‐R2030 and NaY obtained using a custom‐built computer‐controlled Sieverts apparatus under isothermal conditions at (a) 0 °C, (b) 15
°C and (c) 30 °C.
PhD Thesis Shamsur Rahman 125
Selectivity
CH4/N2 selectivity of CEZ, Carbon‐R2030 and NaY at 30 bar calculated by applying Eq. 3.6 to the single
component isotherm data presented in Figure 4.4 and Figure 4.5 are shown in Table 4.4.
Table 4.4. CH4/N2 Selectivity of CEZ, Carbon‐R2030 and NaY.
CH4/N2 selectivity
Temperature & Pressure
0 °C, 30 bar 15 °C, 30 bar 30 °C, 30 bar
CEZ 1.3 1.3 1.3
C‐R2030 1.4 1.5 1.6
NaY 3.0 3.2 3.0
Although CEZ remains a CH4‐selective adsorbent like its parent materials, CH4/N2 selectivity of CEZ is
significantly lower than that of NaY and slightly lower than that of Carbon‐R2030. Consequently it is
also lower than the selectivity of TMAY and Carbon‐E‐TMAY1 at 1 bar which are shown in Table 3.5.
This is expected as the enhancement in N2 capacity in CEZ is greater than the enhancement in CH4
capacity. This indicates that the structural changes implemented in CEZ favours an increased
adsorption of smaller molecules compared to larger ones. We hypothesise that this enhancement
could possibly be driven by an increase in cavity volume leading to multilayer adsorption. However,
one concern that remains is that this hypothesis does not fully align with the general expectation that
small molecule adsorption will be favoured by pores which are comparable in size with the diameter
of that molecule.
4.4 Possible mechanism
A schematic showing the well‐known Faujasite crystal framework of zeolite Y is shown in figure 4.6.
Adsorption in enabled primarily by the presence of the large supercage located in the crystal interior.
This supercage is reported to have a window width (pore opening) of 7.4 Å [118] and an internal width
of 12.5 Å [88].
PhD Thesis Shamsur Rahman 126
Figure 4.6. A model of the Faujasite unit cell. Near the centre of each line segment is an oxygen atom. Silicon and aluminium atoms alternate at the tetrahedral intersections, except that Si
substitutes for Al at about 4% of the Al positions. Exchangeable cations are found in site I at the centre of a D6R ; site II at the centre of the S6R, or displaced from this point into a supercage; sites I’ and II’ lie in the sodalite cavity, on the opposite sides of the corresponding six‐rings from sites I and II, respectively; site III on a twofold axis opposite a four‐ring inside the supercage and site III’ off site III. The eighth sodalite cavity was removed from this diagram for simplicity and it is orthogonal to
the surface of this paper. Both figure and caption text are from Ahmed et al. [119].
The arrangement of Faujasite frameworks in a typical regular pyramid‐shaped NaY particle is shown
in figure 4.7 (a). The schematic represents a two‐dimensional cross‐section along the vertex of the
regular pyramid. Figure 4.7 (b) shows relative size of N2 molecules and a path through which the
molecules can enter the supercage in order to be adsorbed. Only monolayer adsorption takes place
as the fixed volume within the supercage is unable to accommodate sufficient molecules for multilayer
adsorption.
7.4 Å
PhD Thesis Shamsur Rahman 127
Figure 4.7. Schematics showing (a) the arrangement of Faujasite frameworks in a typical regular pyramid‐shaped NaY particle and (b) the relative size of N2 molecules and a path through which they can enter the supercage in order to be adsorbed. Only monolayer adsorption is possible as volume inside the cage is insufficient to accommodate additional molecules for multilayer adsorption.
Figure 4.8 (a) shows a possible effect of NaOH treatment on the pore structure within a regular
pyramid‐shaped NaY particle when no carbon is added. As discussed above and supported by ICP
results, NaOH removes materials from within the zeolite through desilication. The resulting effect
causes a series of walls in between the supercages to be washed away, which essentially joins multiple
supercages to create a significantly wider cavity with larger pore volume and smaller surface area.
However, NaOH has a destructive effect not only on the interior walls of the zeolite particle but also
on the exterior walls, meaning that gas molecules can now easily pass through the cavities, as shown
in figure 4.8 (b), without getting adsorbed as there is no external surface to provide resistance. For
some cavities, it is possible that only internal walls are affected by NaOH and the exterior walls are
left intact. This results in additional monolayer adsorption leading to slight enhancement over
untreated NaY, as reported in Appendix B1.
The BET surface area and pore volume results discussed above support the notion of gain in volume
and loss in surface area.
(a) (b)
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Figure 4.8. Schematic showing (a) possible effect of NaOH treatment on the pore structure within a regular pyramid‐shaped NaY particle when no carbon is added. Material is removed by desilication causing a series of walls in between the supercages to be washed away, joining together multiple supercages to create a significantly wider cavity with larger pore volume and smaller surface area. (b) Schematic showing the passage of gas molecules through zeolite cavities in absence of exterior
walls.
Figure 4.9 (a) shows the effect of NaOH treatment when the zeolite is premixed with carbon. This time,
we hypothesise that the exterior of the zeolite particle is possibly enclosed by a mesoporous carbon
film. Although NaOH is able to break and wash away silicon walls within the zeolite, it does not have
the same destructive effect on carbon. As a result the exterior carbon remains intact and is able to
provide a porous surface for gas molecules trapped inside the zeolite cavity to be adsorbed on.
Furthermore, with a larger cavity, the volume is now sufficient to accommodate enough molecules to
allow multilayer adsorption, as shown in figure 4.9 (b). Availability of sufficient pore volume as a
prerequisite for multilayer adsorption is in agreement with the BET model [45, 120].
(a) (b)
PhD Thesis Shamsur Rahman 129
Figure 4.9. Schematic showing (a) the effect of NaOH treatment when the zeolite is premixed with carbon which causes the exterior of the zeolite particle to be possibly enclosed by porous carbon and (b) multilayer adsorption taking place inside the zeolite cavity as the exterior carbon film
enables additional molecules to become trapped inside the enlarged cavity.
This mechanism can also be used to explain the greater magnitude of enhancement observed with N2
than with CH4. A N2 molecule has a diameter of 3.64 Å [121] while a CH4 molecule has a diameter of
3.99 Å [122]. This means that, under identical conditions, a CEZ particle can accommodate more N2
molecules than CH4 molecules. A greater number of N2 molecules can therefore undergo multilayer
adsorption compared to CH4 molecules.
(a)
(b)
PhD Thesis Shamsur Rahman 130
It should be noted that the above mechanism requires an optimum carbon to zeolite ratio as well
NaOH concentration. If too much carbon is added, the separate adsorption on carbon alone becomes
more pronounced than the combined effect of carbon and zeolite described above. If NaOH
concentration is too high, the extent of destruction is greater and the overall pore architecture is lost.
These effects are demonstrated in the sorption results presented in Appendix B2.
4.5 Further characterisation
4.5.1 Scanning Electron Microscopy (SEM)
Figure 4.10 and 4.11 show images obtained from scanning electron microscopy (SEM) conducted
respectively on NaY and CEZ using a Zeiss 1555 VP‐FESEM instrument. For NaY, regular pyramid‐
shaped structures, a characteristic feature of Zeolite Y, can be seen. In addition, as expected, the
surface is clean and smooth with sharp edges. For CEZ, however, the morphology is very different. The
surface has become very coarse and rough. The particles have lost their regular shapes, contain more
fragments and appear to be stacked together in blocks. Terrains and tracks created by desilication are
visible along the surface of CEZ. Also, upon close observation, a few pyramid‐shaped structures can
still be identified. But these particles have lost their sharp edges and the pointed vertex. A pyramid‐
shaped NaY particle in its original form has been marked in figure 4.10. A corresponding CEZ particle
produced after the possible transformations mentioned above has been marked in figure 4.11.
PhD Thesis Shamsur Rahman 131
Figure 4.10. SEM image of NaY. The texture of the particles is clean and smooth with sharp edges. Pyramid‐shaped particles typical of zeolite Y can be clearly identified.
Figure 4.11. SEM image of CEZ. The surface has become rough and coarse with terrains created by desilication. Particles appear to be stacked on top of each other. Pyramid‐shaped particles can still
be detected.
A typical pyramid‐shaped
NaY particle
A CEZ particle, possibly
wrapped in carbon,
produced from a pyramid‐
shaped NaY particle
PhD Thesis Shamsur Rahman 132
4.5.2 Scanning Transition Electron Microscopy (STEM)
A Scanning Transition Electron Microscopy (STEM) image of CEZ obtained using a FEI‐Titan G2 80‐200
TEM instrument is shown in figure 4.12 (a). Energy‐dispersive X‐ray Spectroscopy (EDS) mappings for
C, Si, Al, Na and O on the same STEM image frame are shown respectively in figures 4.12 (b), (c), (d),
(e) and (f). The EDS mappings show the presence of known elements in CEZ and cover the same area
and shape as the unmapped STEM image, confirming that all the particles seen in the STEM image are
CEZ particles. The mapping for carbon has a light green background as a carbon‐coated grid is used to
hold the sample. However darker green areas covering the same shapes shown in the other mappings
is clearly distinguishable and appear to be around exterior surface of the particles, confirming the
presence of carbon in CEZ. We consider this to further support our hypothesis that CEZ particles are
possibly enclosed by carbon films. Additional High resolution TEM images are available in Appendix
B5.
Background
carbon
Pyramid‐shaped
CEZ particle,
possibly wrapped
in carbon film
Pyramid‐shaped
CEZ particle
(a) (b)
PhD Thesis Shamsur Rahman 133
Figure 4.12. STEM image of CEZ with (a) no EDS mapping as well as EDS mapping for (b) C, (c) Si, (d) Al, (e) Na and (f) O. Dark green areas in image (b) are more around the exterior of the particles
confirming that CEZ particles are surrounded by carbon.
4.5.3 Pore size distribution
Figure 4.13 shows results of pore size distribution based on surface area of NaY, CEZ and C‐R2030
obtained from 77 K N2 sorption experiments conducted using a Micromeritics ASAP2020 instrument.
NaY, as expected, has a narrow distribution of pore width ranging from 9 to 11 Å. The largest
contribution in surface area comes from 9 Å pores while some contribution is also made by 10 Å and
(c) (d)
(e) (f)
PhD Thesis Shamsur Rahman 134
11 Å pores. In CEZ, some 9 Å pores are still present; however, the 10 Å and 11 Å pores have completely
disappeared and 13 Å pores, not originally present in NaY, are detected. This observation is consistent
with our hypothesis and suggests that the 10 Å and 11 Å pores present in NaY have been widened
through desilication to form 13 Å pores in CEZ, as described in the proposed mechanism. Pores of 15,
18 and 19 Å are also detected in CEZ. These pores were present in C‐R2030 as well and are consistent
with the presence of carbon on the exterior surface of CEZ particles, as per the mechanistic
description.
Results of pore size distribution based on pore volume also confirms the findings discussed above and
are presented in Appendix B4.
Figure 4.13. Pore size distribution based on surface area of CEZ, NaY and C‐R2030.
PhD Thesis Shamsur Rahman 135
4.6 Concluding remarks
In this work we have demonstrated a method to enhance gas adsorption capacity of a narrow‐pore
commercially‐available zeolite, which is a Faujasite type Zeolite Y abundant in nature. The method is
considerably simpler than existing procedures to alter pore‐architecture within zeolites. It uses NaOH
treatment to widen intra‐crystalline cavities through desilication, and carbon to enclose zeolite
crystals so that gas molecules can be trapped inside – a possible mechanism hypothesised based on
results of characterisation experiments. For small molecules such as N2, our hypothesis suggests that
capacity is enhanced due to CEZ’s ability to enable multilayer adsorption as more volume is now
available to accommodate higher number of molecules. The enhancement in capacity has been
validated by conducting high pressure isothermal sorption experiments with single component N2 and
CH4. The expansion in pore width through desilication has been confirmed by ICP analysis, XRD
patterns and pore size distribution. The possible encapsulation of zeolite crystals by carbon has been
supported by TGA, pore size distribution and EDS mapping of STEM images.
PhD Thesis Shamsur Rahman 136
Chapter 5
Conclusions and Future Research
5.1 Conclusions
The production and use of natural gas as an alternative to oil and coal continues to grow around the
world due to increasing environmental awareness and concerns. Some of the major sources of natural
gas in the world are either surrounded by oceans or thousands of kilometres away from the large
export markets. For these countries, the only feasible way to become global exporters is to have the
ability and a cost‐effective mechanism to convert billions of cubic metres of natural gas readily into
liquefied natural gas (LNG) so that it can be transported in tankers to fulfil shipment orders from
anywhere in the world. However, before a raw stream of natural gas can even enter the processing
stages of an LNG plant, the impurity contents, mainly CO2 and N2, must be reduced significantly to
meet the feed gas specifications. Conventionally, amine absorption and cryogenic distillations are the
two methods used to remove CO2 and N2 respectively from natural gas. As both of these methods are
energy‐intensive and increases the unit cost of LNG production due to high power consumptions, the
natural gas industry is considering a new process called Pressure Swing Adsorption (PSA) as an
alternative separation technology that is both cost‐effective and energy‐efficient. PSA has been
successfully used as a N2‐rejection technology in a number of industrial applications such as small scale
natural gas processing (feed rates of up to 15 MMscfd) [21], purification of biogas [22, 23] and
enrichment of coal mine methane [24]. In this work, we addressed two major requirements for a
successful cost‐efficient implementation of this technology in large scale LNG processing: (i) abundant
supply of adsorbents with high capacity and selectivity for the target gas components and (ii) reliable
process simulations to optimise the design parameters of a PSA cycle.
PhD Thesis Shamsur Rahman 137
In Chapter 2, we presented a novel isotherm model, with physically meaningful parameters, that is
able to successfully capture the S‐shaped breathing isotherms exhibited by next generation
adsorbents such as MOF’s and ZIF’s with high selectivity for target gas mixtures. We demonstrated
that this model can be applied to both adsorption and desorption breathing using a wide range of
experimental data from the literature as well as our own laboratory. Furthermore we showed that this
model can be used to quantify hysteresis in breathing adsorbents including the onset and magnitude
of hysteresis as a function of both pressure temperature. We validated the model experimentally over
a wide range of temperatures reaching as low as 233K. To our knowledge no similar work involving
hysteresis has been reported before in the literature. Finally, we incorporated the functional form as
an isotherm model in a commercial simulation software and successfully executed PSA cycles to
predict the performance of a breathing MOF in separating a CH4/CO2 mixture using PSA.
In Chapter 3, we demonstrated experimentally that adsorptive properties of porous materials can be
altered by making changes to their pore architecture and chemical composition. Using zeolite Y as the
parent material we studied the effect of Si/Al ratio, parent and intermediate cations and alkalinity of
the synthesis medium on pure component CH4 and N2 capacities and resulting CH4/N2 selectivity of
the Ionic Liquidic Zeolite (ILZ) products synthesised using a previously established ion‐exchange
procedure. Among the different variants of Zeolite Y tested, the parent zeolite with Si/Al ratio of 2.55
and parent cation of Na+ produced ILZ’s with the highest CH4/N2 selectivity.
In Chapter 3, we also examined the effect of a number of different treatment procedures described in
the literature on CH4 and N2 adsorption capacities of activated carbon. These include surface
functionalisation treatments with nitric acid and ammonium persulfate (APS), treatment in an alkaline
medium and a two‐step treatment procedure in acidic and alkaline mediums. We performed extensive
characterisation experiments on the parent, intermediate and end products to determine the effect
of each stage of synthesis on adsorption. Finally, we developed a novel experimental technique to
introduce carbon into the frameworks of both zeolite Y and the ILZ TMAY. Although this did not
PhD Thesis Shamsur Rahman 138
produce significant enhancements in the CH4/N2 selectivity of the resulting adsorbent over the already
achieved selectivity of TMAY, substantial gains in both CH4 and N2 capacity were observed when
carbon was introduced into the NaY framework using this method. We named this material Carbon
Enhanced Zeolite (CEZ) and pursued further research to understand the observed results.
In Chapter 4, we presented Carbon Enhanced Zeolite as a next generation high capacity adsorbent and
studied the structural changes through a series of advanced characterisation techniques including
Microscopy (SEM), Scanning Transition Electron Microscopy (STEM) and Energy‐dispersive X‐ray
Spectroscopy (EDS) mapping of STEM images. Based on this study, it was deduced that both carbon
and the alkaline synthesis medium play complimentary roles in the observed capacity enhancement.
NaOH treatment causes an expansion of the intra‐crystalline cavities through desilication leading to a
gain in pore volume which, in turn, enables increased multilayer adsorption. The role of carbon is to
enclose the zeolite crystals in an exterior porous layer which, during adsorption, facilitates higher
numbers of gas molecules to be “trapped” inside the adsorbent material. In this chapter, we
demonstrated how this proposed mechanism is supported by the results of the characterisation
experiments.
To conclude, this research work has made two contributions in the field of adsorptive separation of
gas mixtures. The first involves numerical modeling where a new isotherm model capable of enabling
process simulations with highly selective breathing MOF’s is developed. This is a major progress
towards the design and implementation of efficient and cost‐effective separation processes using
these flexible adsorbents. The second contribution is in material development where a novel method
to enclose naturally abundant zeolite Y in an external porous carbon layer resulting in major
enhancements in CH4 and N2 capacity has been identified. Supported by extensive characterisations,
the mechanisms for these enhancements were studied and explained in detail. This is a significant
achievement in the development of adsorbent materials and can lead to synthesis of low‐cost high
PhD Thesis Shamsur Rahman 139
capacity zeolite‐based adsorbents with potential applications not only in gas separation but also in gas
storage.
5.2 Recommendations for future research
The findings of this research could be used as a baseline for further development of gas separation
processes through pressure swing adsorption (PSA). Process simulation results obtained by using the
pressure‐induced LJM model as an isotherm model for flexible adsorbents can subsequently be used
to determine the optimum design parameters of a PSA cycle to deliver the best separation
performance from these next generation adsorbents. Further experimental work can also be
conducted to extend the pressure‐induced LJM model to other flexible MOF’s, ZIF’s, COF’s etc. over a
wider range of temperature and pressure. High pressure adsorption experiments are currently being
conducted within the FSR group to further regress ZIF‐7 adsorption/desorption data to the pressure‐
induced LJM model.
Carbon enhanced zeolite (CEZ) developed in this work could be the subject of further research on this
material’s potential application in gas storage. The method used in its synthesis can be applied to
achieve substantial gain in methane capacity of naturally occurring faujasites. Further work can be
carried out to determine the effect of this method on other large pore zeolites for use in gas storage
applications. In addition, the range of temperature and pressure used in the isothermal
adsorption/desorption experiments can be extended to determine the effect of low temperatures and
high pressures on the observed gains. Furthermore, since the method produced capacity gains for
both methane and nitrogen, other gases such as carbon dioxide should also be included in the
experiments.
PhD Thesis Shamsur Rahman 140
Appendices
PhD Thesis Shamsur Rahman 141
Appendix A
A1 ‐ Development of the pressure‐induced LJM model
The LJM approach for temperature‐induced guest admission is based on the underlying assumption
that, because the system of oscillators present within a trapdoor adsorbent possesses a large number
of degrees of freedom, the energy distribution of these oscillators can be modelled as a normal
distribution [123, 124]. The LJM model for temperature‐induced guest admission can then be
summarized, mathematically, as [61]:
Φ 1√
(Eq. A1)
1 (Eq. A2)
where Φ is the cumulative probability that a given oscillator will admit a guest molecule, T0 the
threshold temperature defined as the temperature at which half of the oscillators present in the
system possess an energy greater than the energy barrier, β is a parameter that characterises the
width of the system‐specific distribution in temperature, is the fraction of external surface sites and
defects always available for adsorption, n is the adsorption capacity, is the maximum monolayer
adsorption capacity, b0 is the gas‐solid affinity coefficient, ΔH is the enthalpy of adsorption, R is the
gas constant, m is the surface heterogeneity coefficient and T and P respectively are the temperature
and pressure. It should be noted that the term outside the first square brackets in equation Eq. A2 is
essentially the classical Toth model with the conventional parameters , ΔH, b0 and m. The LJM
contribution therefore manifests in the term within the square brackets in equation Eq. A1, and
contains only two additional parameters if is taken to be approximately zero or is independently
estimated or measured.
PhD Thesis Shamsur Rahman 142
Breathing effect in flexible MOFs is a highly guest dependent transition between collapsed or narrow
pore (np) and expanded or large pore (lp) phases that is characterised by gate‐opening and gate‐
closing pressures [62]. Thus, analogous to temperature‐regulated guest admission in trapdoor
adsorbents, breathing effect in MOFs can be defined as a pressure dependent phenomenon [56, 57,
63]. Similar to the threshold temperature required to overcome an energy barrier, we define a
threshold transition pressure, P0, as the pressure at which half of the unit cells present within the
framework transforms from np to lp state. We term this transition pressure as the “breathing”
pressure. By assuming that the ensemble of flexible unit cells constitutes a system with a large number
of degrees of freedom [125], the fraction of unit cells in the expanded state can be modeled as a
normal distribution as shown in figure A2. Accordingly, for a given pressure P the cumulative fraction,
ΦP, of unit cells that are in expanded state and will, therefore, admit guest molecules under isothermal
conditions is given by:
1√
(Eq. A3)
where βP is a parameter that characterises the width of the system‐specific distribution in pressure.
PhD Thesis Shamsur Rahman 143
Figure A1. Distribution of unit cells within the MOF structure. When the pressure is (a) greater than the breathing pressure, more unit cells are in an expanded state than in the collapsed state, i.e, 0.5 < ΦP (P > P0) ≤ 1, (b) equal to the breathing pressure, number of unit cells in expanded state is the same as the number of unit cells in collapsed state, i.e., ΦP (P = P0) = 0.5, and (c) smaller than the breathing pressure, fewer unit cells are in expanded state than in collapsed state, i.e, 0 ≤ ΦP (P < P0)
< 0.5.
Although the admission of guest molecules in flexible MOFs is regulated by pressure, the
transformation from collapsed to expanded states also greatly depends on temperature. Hence it
should be expected that the breathing pressure, P0, would also be a function of temperature:
(Eq. A4)
The exact nature of the function f (T) is dictated by the interaction between a particular flexible
structure and the guest molecules being admitted. Du et al. analyzed the temperature‐dependent
structural change of a zeolitic imidazole framework (ZIF‐7) that exhibits breathing behavior during CO2
adsorption and showed that a plot of the natural logarithm of the empirical transition pressures (P0)
versus 1/T produces a straight line with a negative slope [66]. This implies that a Clausius‐Clapeyron
form, as shown below, can be used to model P0 as a function of 1/T:
P = P0
ΦP = 0.5
P > P0
0.5 < ΦP ≤ 1
P < P0
0 ≤ ΦP < 0.5
ΦP = Fraction of unit cells in expanded state
Rejection of guest molecules
(1- ΦP) = Fraction of unit cells in collapsed state
Admission of guest molecules
(a)
(b)
(c)
ΦP represents the shaded area under the curve
PhD Thesis Shamsur Rahman 144
ln ln , (Eq. A5)
where k is the slope of the ln vs 1/T plot and , is the theoretical maximum value that the
breathing pressure can have when T becomes large. Upon rearrangement, equation Eq. A5 becomes:
, exp (Eq. A6)
In this work, equation Eq. A6 is used to substitute P0 in equation Eq. A3 to obtain as a function of
both pressure and temperature:
1,
√ (Eq. A7)
Equations Eq. A5 – Eq. A7 can then be incorporated into a standard adsorption model, such as the
classical Toth equation [126, 127], to obtain the pressure‐induced adsorption capacity, np, of a
breathing MOF as:
1,
√1 (Eq. A8)
A2 ‐ Parameters for the pressure‐induced LJM model
Parameter Physical Implication Units
βP A measure of the distribution width kPa
P0,ref Theoretical maximum value of the breathing pressure when temperature becomes large
kPa
k Breathing pressure coefficient (when is linear) kPa/K
Maximum monolayer adsorption capacity mol/kg
b0 Gas‐solid affinity coefficient 1/kPa
ΔH Enthalpy of adsorption J/mol
m Surface heterogeneity coefficient ‐
Fraction of external surface sites accessible to guest molecules ‐
PhD Thesis Shamsur Rahman 145
A3 ‐ Summary of best‐fit parameters of the pressure‐induced LJM model and their
associated statistical uncertainties
Parameter Values and Uncertainties
Adsorbent Gas Mode (mol/kg)
b0 (1/kPa)
ΔH(J/mol)
m P0,ref (kPa)
βP (kPa)
k (kPa/K)
No. of observ.
R‐sq
Fe(bdp) CH4 Adsorption 21.244 +/‐
0.1874
1.398x10‐6 +/‐
2.9289x10‐8
12773+/‐
0.00014
1fixed
0.09282+/‐
0.006529
90276+/‐
5.45x10‐5
243.99 +/‐
0.00058
1054+/‐
0.0166
242 0.996
Fe(bdp) CH4 Desorption ” ” ” ” ” 37222+/‐
2750.9
169.66 +/‐
15.321
991.93+/‐
20.601
102 0.987
Co(bdp) CH4 Adsorption 16.267 +/‐
0.14923
1.1102x10‐6 +/‐
2.3214x10‐8
14028+/‐
4.19x10‐5
1fixed
0.081978+/‐
0.0071382
45258+/‐
4.867x10‐5
316.81 +/‐
0.00047
969.03+/‐
0.007253
159 0.997
Co(bdp) CH4 Desorption ” ” ” ” ” 4886.5+/‐
633.67
107.39 +/‐
14.65
579.14+/‐
37.78
90 0.99
mmen‐ Fe2(dobpdc)
CO2 Adsorption 4.05fixed
2.82x10‐10 fixed
51816fixed
0.7fixed
0.2286fixed
6.801x1010
+/‐ 7.327x10‐9
1.308 +/‐
0.20609
6990.5+/‐
1.5702
101 0.984
mmen‐ Co2(dobpdc)
CO2 Adsorption 4.53fixed
6.22x10‐9
fixed 42039fixed
0.7fixed
0.2140fixed
1.481x1011
+/‐ 3.068x10‐9
6.2274 +/‐
0.91038
6874.2+/‐
1.415
139 0.973
amino‐ MIL‐53(Al)
CO2 Adsorption 6.5232 +/‐
9.15x10‐6
4.9115x10‐9 +/‐
5.9229x10‐10
36669+/‐
5.28x10‐18
1fixed
0.32574+/‐
0.0095042
3x105
+/‐ 1.158x10‐8
561.7 +/‐
1.52x10‐6
1612.5+/‐
1.185x10‐5
53 0.993
amino‐ MIL‐53(Al)
CO2 Desorption ” ” ” ” ” 5.8148x105
+/‐ 7.843x105
494.46 +/‐
53.621
2073.4+/‐
400.69
39 0.99
ZIF‐7 CO2 Adsorption 1.9318 +/‐
0.0217
3.2516e‐07 +/‐
3.5518e‐08
29089fixed
1fixed
0.2fixed
7.28e+06 +/‐
1.3344e‐07
0.54632 +/‐
0.10041
3494.6+‐
0.0039923
37 0.994
ZIF‐7 CO2 Desorption ” ” 29869+/‐
107.1
” ” 1.525e+06+/‐
63418
0.46 fixed
3324fixed
66 0.97
For CO2 adsorption on mmen‐Fe2(dobpdc) and mmen‐Co2(dobpdc) and CH4 adsorption/desorption on
amino‐MIL‐53(Al), MATLAB was unable to produce a best‐fit regression by allowing all seven
parameters to vary. Therefore, , b0, ΔH and were fixed at values obtained by iteration and a three‐
parameter non‐linear regression was carried out in MATLAB.
For an overwhelming majority of the fits, uncertainties in fitting parameters are significantly smaller
than the parameter values being reported. Parameter values whose uncertainties are greater than
100% are highlighted in red. These are for CH4 adsorption and desorption on amino‐MIL‐53(Al) for
which isothermal data is available at only one temperature causing the fitting parameters to have high
uncertainties.
PhD Thesis Shamsur Rahman 146
A4 ‐ Residual plots
Figure A2. Residuals (nmeas ‐ ncalc) of the Pressure‐induced LJM model’s regression on experimental data for the adsorption of CH4 on febdp reported by Mason et al. [48].
Figure A3. Residuals (nmeas ‐ ncalc) of the Pressure‐induced LJM model’s regression on experimental data for the desorption of CH4 on febdp reported by Mason et al. [48].
PhD Thesis Shamsur Rahman 147
Figure A4. Residuals (nmeas ‐ ncalc) of the Pressure‐induced LJM model’s regression on experimental data for the adsorption of CH4 on cobdp reported by Mason et al. [48].
Figure A5. Residuals (nmeas ‐ ncalc) of the Pressure‐induced LJM model’s regression on experimental data for the desorption of CH4 on cobdp reported by Mason et al. [48].
PhD Thesis Shamsur Rahman 148
A5 ‐ Simulation of the dynamic breakthrough of an equimolar CO2/CH4 mixture
A dynamic breakthrough separation of an equimolar binary mixture of CO2/CH4 using amino‐MIL‐
53(Al), for which experimental breakthrough data is available from Couck et al. [60] for comparison,
was then simulated. The second simulation under identical conditions was then performed using the
classical Toth model as the isotherm model. The experiment conditions such as feed composition,
pressure, temperature, flow rate and adsorption column dimensions were taken to correspond to the
experiment reported by Couck et al. [60] The simulation parameters such as, inter‐ and intra‐particle
voidage, adsorbent bulk density, radius, and mass transfer coefficients were taken from Gomez et al.
[79] These along with the experiment conditions are listed in section‐7 below. Isotherm parameters
were taken from the pressure‐induced LJM model’s regression of measured CO2 and CH4 adsorption
data [60] for amino‐MIL‐53 (Al), as discussed above.
The pressure‐induced LJM model fitted on amino‐MIL‐53 (Al) CO2 and CH4 adsorption isotherm data
from Couck et al. [60] at 303K is shown in figure A6 (a) and (b) respectively below. Also, the
corresponding Toth model, without the LJM modifications, is also plotted. As expected, the Toth
isotherm deviates from the LJM isotherm in the breathing region for both CO2 and CH4. To
demonstrate the effect of this deviation on simulation, three pressures: 1 bar, 11 bar, and 30 bar are
chosen.
Figure A6. Deviation of the Toth model from the pressure‐induced LJM model in comparison to measured isothermal data at 303K for the adsorption of amino‐MIL‐53 (Al) on (a) CO2 and (b) CH4.
PhD Thesis Shamsur Rahman 149
Results of dynamic breakthrough simulation of an equimolar binary mixture of CO2/CH4 using amino‐
MIL‐53(Al) at feed pressures of 1 bar, 11 bar and 30 bar are shown in figures A7 (a), (b) and (c)
respectively.
At 1 bar, as there are deviations between the CO2 isotherms predicted by LJM and Toth models,
deviations in the breakthrough curves predicted by the two models, as shown in figure A7 (a) are also
expected. The Toth model predicts significantly higher adsorption capacity for CO2 than LJM does and
hence it takes much longer for the adsorption bed to become saturated with CO2 before it is released
in the product stream. The CO2 breakthrough curve predicted by Toth is therefore shifted to the right
of the CO2 breakthrough curve predicted by LJM. As for CH4, the Toth capacity is also higher but not
as much as CO2. Therefore, the Toth breakthrough curve is also shifted to the slight right of the LJM
breakthrough curve.
At 11 bar, the deviations between the isotherms predicted by the two models are larger, with Toth
predicting higher capacity for both CO2 and CH4. As a result, the extent of the right‐shift of the Toth
breakthrough curves compared to the LJM curves is greater, than at 1 bar, for both gases. This is shown
in figure A7 (b). At 30 bar, there is no difference between the adsorption capacities predicted by the
two models and hence both breakthrough curves are identical (figure A7 (c)).
A qualitative comparison with experimental breakthrough data for amino‐MIL‐53 (Al) reported by
Couck et al. [60] shows that breakthroughs of CH4 and CO2 take place at approximately 25 and 100
seconds respectively which are in agreement with the breakthrough times predicted by the simulation
using LJM as the isotherm model. The experimental data, however, also shows roll‐up effect [128]
which ASPEN Adsorption is unable to simulate.
PhD Thesis Shamsur Rahman 150
Figure A7. Comparison between the classical Toth model and the pressure‐induced LJM model used as isotherm models in ASPEN Adsorption for performing column breakthrough simulations of an
equimolar CO2/CH4 mixture using amino‐MIL‐53 (Al) as the adsorbent at 303K with a feed pressure of (a) 1.013 bar, (b) 11 bar and (c) 30 bar.
PhD Thesis Shamsur Rahman 151
One limitation of the simulation package in regards to modeling processes involving flexible
adsorbents is that it only allows fixed values for the inter‐ and intra‐particle voidage. For breathing
MOFs, of course, both these values are expected to change during adsorption as the MOF structure
undergoes transitions from the collapsed to the expanded state.
A6 ‐ Regression of CH4 and CO2 adsorption isotherms on Zeolite 13X using the Toth
Isotherm model
Figure A8. The Toth isotherm model regressed to (i) CH4 and (ii) CO2 adsorption data reported by Cavenati et al. [81]. Symbols denote experimental data and curves represent the Toth model.
Adsorbent Gas (mol/kg) b0 (1/kPa) ‐ΔH (J/mol) m
Zeolite 13X CH4 10.1 1.55 x10‐06 15600 0.608
Zeolite 13X CO2 12.9 1.02 x 10‐09 58116 0.199
Summary of parameters used to regress the Toth isotherm model to CH4 and CO2 adsorption data reported by Cavenati et al. [81].
A7 ‐ Simulation parameters
(a) Values of adsorbent properties used in ASPEN Adsorption to characterise the adsorption beds:
Mass Transfer Coefficient (MTC) – CH4 (1/s) 0.5 0.29
Mass Transfer Coefficient (MTC) – CO2 (1/s) 0.8 1.1
PhD Thesis Shamsur Rahman 152
(b) Dynamic Breakthrough and PSA simulation parameters used in ASPEN Adsorption:
Dynamic Breakthrough PSA
Feed Composition 0.5 CH4 + 0.5 CO2 0.5 CH4 + 0.5 CO2
Feed Pressure (bar) 1.013, 11, 30 20.045
Height of adsorbent layer (m) 0.3 0.3 (both beds)
Internal diameter of adsorbent layer (m) 0.00216 0.03
Temperature (K) 303 303.15
(c) Dynamic breakthrough simulation flowsheet:
(d) (i) PSA simulation flowsheet:
F 1
B 1
P 1
S 1
S 2
PhD Thesis Shamsur Rahman 153
(ii) PSA cycle steps:
Step No. Description Duration
Step 1 Bed 1 adsorption Bed 2 regeneration (purge)
1 minute 1 minute
Step 2 Bed 1 blow down Bed 2 repressurisation
Until Bed 1 pressure falls below 6.5 bar Until Bed 2 pressure exceeds 20 bar
Step 3 Bed 2 adsorption Bed 1 regeneration (purge)
1 minute 1 minute
Step 4 Bed 2 blow down Bed 1 repressurisation
Until Bed 2 pressure falls below 6.5 bar Until Bed 1 pressure exceeds 20 bar
PhD Thesis Shamsur Rahman 154
Appendix B
B1 ‐ Effect of carbon‐content
Different products were synthesised following the same method as CEZ but varying the carbon‐
content of the initial mixture while keeping the NaOH concentration fixed at 3M and all other
conditions the same. Figure B1 shows the single‐component N2 adsorption capacity of these products
under isothermal conditions at 0 °C for pressures up to 1 bar, obtained using a Micromeritics
ASAP2020 instrument. Results for parent, untreated NaY and C‐R2030 are also shown on the same
plot.
As shown in figure B1, the product with no carbon‐content has higher N2 capacity than the product
with 20% carbon‐content as well as the parent NaY and C‐R2030. However, the product with 10%
carbon‐content has the highest N2 capacity amongst all adsorbents shown in this plot. This was
therefore chosen as the optimum carbon to zeolite ratio for CEZ.
Figure B1. Effect of carbon‐content.
PhD Thesis Shamsur Rahman 155
B2 ‐ Effect of NaOH concentration
Different products were synthesised following the same method as CEZ but varying the concentration
of NaOH used in the treatment while keeping the carbon‐to‐zeolite ratio of the initial mixture fixed at
10%C‐R2030+90%NaY and all other conditions the same. Figure B2 shows the single‐component N2
adsorption capacity of these products under isothermal conditions at 0 °C for pressures up to 1 bar,
obtained using a Micromeritics ASAP2020 instrument.
As shown in figure B2, N2 capacity increases as the concentration of NaOH is increased from 2M to 3M
but falls sharply, to even lower than the 2M treatment, as NaOH concentration is further increased to
4M. NaOH. Thus, the product treated with 3M NaOH has the highest N2 capacity amongst these three
adsorbents and was therefore chosen as the optimum NaOH concentration for CEZ.
Figure B2. Effect of NaOH concentration.
PhD Thesis Shamsur Rahman 156
B3 ‐ Toth fittings
Fittings produced by regressing the classical Toth isotherm model to results of pure component N2
adsorption experiments conducted on CEZ, C‐R2030 and NaY at temperatures of 0 °C, 15 °C and 30 °C
are shown respectively in figures B3, B4 and B5. Adsorption data until the maximum point of each
isotherm, prior to any decrease in capacity due to excess adsorption were used for the fits. The
Regression R2 for these fits were 0.996, 0.998 and 0.987 respectively for CEZ, C‐R2030 and NaY.
Figure B3. Toth Fitting of CEZ on N2.
PhD Thesis Shamsur Rahman 157
Figure B4. Toth Fitting of C‐R2030 on N2.
Figure B5. Toth Fitting of NaY on N2.
Fittings produced by regressing the classical Toth isotherm model to results of pure component CH4
adsorption experiments conducted on CEZ, C‐R2030 and NaY at temperatures of 0 °C, 15 °C and 30 °C
PhD Thesis Shamsur Rahman 158
are shown respectively in figures B6, B7 and B8. The Regression R2 for these fits were 0.995, 0.999 and
0.989 respectively for CEZ, C‐R2030 and NaY.
Figure B6. Toth Fitting of CEZ on CH4.
Figure B7. Toth Fitting of C‐R2030 on CH4.
PhD Thesis Shamsur Rahman 159
Figure B8. Toth Fitting of NaY on CH4.
B4 – Pore size distribution (based on pore volume)
Figure B9 shows results of Pore size distribution based on pore volume of NaY, CEZ and C‐R2030
obtained from 77K N2 sorption experiments conducted using a Micromeritics ASAP2020 instrument.
These results provide identical findings to those obtained from surface‐area based Pore size
distribution results.
PhD Thesis Shamsur Rahman 160
Figure B9. Pore size distribution based on pore volume of CEZ, NaY and C‐R2030.
B5 – High resolution TEM images
TEM images of CEZ obtained using a FEI‐Titan G2 80‐200 TEM instrument are shown in figures S10‐
S11. These images show particle shapes that confirm the SEM images reported earlier. In addition,
High Resolution TEM images, clearly showing zeolite lattice fringe patterns, obtained using the same
instrument are shown in figures S12‐S14. The small fragments seen in figures S12 and S13 may be
pieces of carbon which broke‐off from the encapsulating carbon film and became embedded on the
exterior surface of zeolite particles.
PhD Thesis Shamsur Rahman 161
Figure B10. TEM image of CEZ.
Figure B11. TEM image of CEZ.
PhD Thesis Shamsur Rahman 162
Figure B12. High Resolution TEM image of CEZ.
Figure B13. High Resolution TEM image of CEZ.
PhD Thesis Shamsur Rahman 163
Figure B14. High Resolution TEM image of CEZ.
Figure B15. High Resolution TEM image of CEZ.
PhD Thesis Shamsur Rahman 164
Appendix C
C1 ‐ Foreword
This article has been published in Chemical Communications, vol. 54. pp. 3134‐3137, 2018. It is
reproduced in this appendix as it involves motivational works carried out in the early phase of this
research project, demonstrating how a zeolite’s chemical composition can play a major role in
selectivity.
C2 ‐ The Quest for a Trapdoor Zeolite for Exclusive Admission of CO2 at Industrial
Working Temperatures
Tao Du, Xin Fang, Liying Liu, Jin Shang, Bin Zhang, Yichao Wei, He Gong, Shamsur Rahman,
Eric F. May, Paul A. Webley, Gang (Kevin) Li
High purity molecular trapdoor chabazite with an optimal Si/Al ratio of 1.9 was prepared from fly
ash. Gas adsorption isotherms and binary breakthrough experiments show dramatically large
selectivity of CO2 over N2 and CH4, among the highest for physisorption based carbon capture at
industrial operation temperatures.
Adsorption based separation of carbon dioxide from important industrial gas mixtures such as flue gas
and natural gas has gained worldwide research interest owing to increased environmental and
economic incentives [132‐134]. High CO2 selectivity and low manufacture cost are among the key
merits to the timely implementation of new carbon capture adsorbents by industry. Conventionally,
depending on the difference between gas molecules’ properties, adsorption selectivity essentially
relies on three separation mechanisms in physisorption (the preferred regime due to low energy
consumption for regeneration), namely equilibrium [135], kinetics [136] and size‐sieving [137]. Carbon
dioxide is known for its large multi‐poles and polarizability and able to bind preferentially to
adsorbents, giving higher equilibrium capacity than light components such as N2 and CH4 [138].
However, equilibrium selectivity is often limited and rapidly reduced with increasing pressure because
PhD Thesis Shamsur Rahman 165
of the linear trend of the isotherms of light components [132]. Likewise, kinetic separations frequently
suffer from reduced mass transfer rates and compromised bed capacity due to short cycle times. Size‐
sieving may claim perfect separations but not readily available when the size difference between the
two molecules are negligible [139].
In contrast, a new physisorption mechanism namely, “molecular trapdoor” [133] which were recently
discovered in small pore zeolites, provides an alternative pathway to make ultra‐high selective
adsorbents. Molecular trapdoor is based on the ability of certain gas molecules to reversibly and
temporarily open up the cation blocked 8MRs (eight‐membered oxygen rings) of ~0.38×0.38 nm pore
apertures the only entrance for the admission of guest molecules into small pore zeolites, such as K‐
CHA, Cs‐CHA, and RHO [133, 139]. Specifically, strong guest molecules (such as CO2) having sufficient
interaction to deviate the door‐keeping cations are able to enter the zeolite supercage, whereas weak
molecules (such as N2 or CH4) are excluded. Therefore, record high selectivities, 93 for CO2/CH4
separation and 80 for CO2/N2 separation, have been achieved at 273 K and 100 kPa with a r1KCHA
trapdoor zeolite (i.e. potassium chabazite with Si/Al ratio of 1) in 2012 [133]. However, one limitation
of the trapdoor effect is that adsorption must be conducted well below the threshold admission
temperature T0; above this threshold, the door‐keeping cation will gain sufficient thermal energy and
become mobilized to allow for non‐discriminative admission of molecules and fail the trapdoor effect.
Recent process demonstration using pressure swing adsorption (PSA) technology for carbon capture
with kilogram‐scale trapdoor chabazites indicated that CO2 recovery and purity dropped dramatically
above 291 K column temperature using an r2.2KCHA [140]. Given most post‐combustion carbon
capture processes deal with relatively hot flue gases (313 ‐ 363 K even after washing tower) and the
adsorption step of a PSA cycle is strongly exothermic due to adiabatic operations [141, 142], there is
a strong demand to develop a trapdoor zeolite that can exclusively adsorb CO2 at industrially practical
temperatures.
PhD Thesis Shamsur Rahman 166
The main objective of this work is to find such a trapdoor zeolite that rejects N2 and CH4 but adsorbs
CO2 with a working temperature suitable for gas industry, e.g. from sub‐ambient up to 348 K.
Our strategy to elevate the threshold admission temperature of CH4 and N2 is to increase the energy
barrier ΔE required for admitting the guest molecules through the cation blocked 8MR doorway. Here
we use density functional theory (DFT) calculations to demonstrate the ΔE for a given gas‐zeolite
system has a strong dependence on the density of cations in the trapdoor zeolite. In a typical
potassium chabazite system (see figure CS3 for detailed 3D structure) [143], we studied the admission
process of CO2 gas as an example in the scenarios of two different Si/Al ratios, namely 3 and 1, with
the corresponding chabazite denoted as r3KCHA and r1KCHA, respectively. It is obvious that lower the
Si/Al ratio, higher the cation density. As shown in figure C1b, the admission energy barrier of ΔE(CO2‐
r3KCHA) is 22% lower than that of ΔE(CO2‐r1KCHA). This is because more cations in the chabazite
supercage can substantially increase the space hindrance for the movement of the door‐keeping
cation and the guest molecules, and in the meantime high charge density in the aluminosilicate
framework will make the cations less mobile due to increased charge repulsion. It is thus expected
that reducing the Si/Al ratio in KCHA could effectively increase the threshold admission temperature
T0. In a typical r2.2KCHA, T0 for CH4 and N2 is 266 K and 254 K, respectively [134]. However, attempts
to produce functional trapdoor chabazite with Si/Al ratio below 2 were not successful due to inherent
drawbacks of the synthesis method [144] in which alumina hydroxide slurry was used to enrich the Al
content of the chabazite and consequently inhomogeneous Si Al exchange and presence of
amorphous alumina in product are unavoidable.
PhD Thesis Shamsur Rahman 167
Figure C1. (a) The 8MR and door‐keeping potassium cation movement during CO2 adsorption. (b) Energy profiles for the potassium cation of r1KCHA and r3KCHA. (c) SEM images for r1.9KCHA. (d) XRD patterns of raw fly ash, intermediate and resultant r1.9CHA. (The scales of the atoms in this
illustration are not in portion).
Herein, we report an ultra‐low Si trapdoor chabazite (Si/Al = 1.9) with unparalleled CO2/CH4 and
CO2/N2 adsorption selectivity at industrially practical working temperatures up to 348 K. Importantly,
this r1.9KCHA was synthesized from coal fly ash through a template‐free hydrothermal method which
is very different from conventional procedures reported by others using either organic structure‐
directing agents or inter‐zeolite conversion from Y procurers [145, 146]. Briefly, selected fly ash with
Si and Al content close to low silica chabazite was reacted with excessive KOH powder through a high
temperature fusion process at 923 K for 1 h to break up mullite and quartz phases (figure C1d) and
PhD Thesis Shamsur Rahman 168
the resultant mixture was treated under hydrothermal condition for 4 days to produce the target
r1.9KCHA (see Supporting Information below for complete procedure).
The morphology and structure of the starting material and the end product was examined by scanning
electron microscope (SEM) and X‐ray diffraction (XRD), respectively. As shown in figure CS1, the fly
ash is comprised of particles with a wide size distribution from sub‐micron to 30 micron, in the shape
of spherical beads, irregular lumps and short needles which is mainly attributed to mullite and quartz,
according to literature [145] and their characteristic XRD patterns (figure C1d). In contrast, the as‐
synthesized chabazite (figure C1c) presents a walnut‐like shape with a uniform diameter of
approximately 2‐5 micron [147]. High resolution SEM (figure C1c) reveals the “walnuts” are intergrown
multi‐crystals of chabazite. It is worth mentioning that the morphology of our chabazite is quite
different from those reported before through intercrystal conversion process [138] which exhibited a
similar morphology to the precursor zeolite Y. Meanwhile, amorphous material was hardly noticeable
in the SEM images of the as‐synthesized chabazite. High purity high crystalline chabazite phase was
clearly evidenced by the characteristic XRD (figure C1d).
The Si/Al ratio of the as‐synthesized chabazite was verified to be 1.9 by XRF analysis. Apart from the
dominant potassium, other metallic minor components from the fly ash were also partially retained
in the chabazite giving a product composition of K9.79Fe0.44Ca0.57Al12.25Si23.75O72, suggesting the product
chabazite has mixed cations. Note that potassium is an effective door‐keeping cation in chabazite, and
the minimum number of potassium cation required for a chabazite to keep the trapdoor effect is 9
per unit cell [133], which is less than the number in the chabazite synthesized from this work,
suggesting its potential trapdoor capability.
The adsorption properties of our r1.9KCHA were analyzed with single component N2, CH4 and CO2,
respectively. The N2 adsorption on this chabazite at 77K was found to be close to that of nonporous
powered materials, giving rise to negligible BET surface area, which is typical to trapdoor zeolites. At
temperatures of 273, 303 and 333 K, the adsorption of both N2 and CH4 still remains negligible, with
PhD Thesis Shamsur Rahman 169
uptake signals falling in the noise level of the measurement instrument (ASAP 2010, Micromeritics).
Even at 333 K temperature and 100 kPa partial pressure, the adsorption capacity of N2 and CH4 on
r1.9KCHA is still below 0.02 mmol/g, about 25‐30 times smaller than that of r2.2KCHA reported in our
earlier work [133], indicating the threshold admission temperature T0 for N2 and CH4 have been
substantially elevated to above 343 K.
On the contrary, a considerable amount of CO2 was adsorbed onto r1.9KCHA. At 100 kPa, the
adsorption capacity at 273K, 303K and 333K is 0.81 mmol/g, 1.49 mmol/g, and 1.54 mmol/g,
respectively, showing a positive dependence on temperature: greater equilibrium capacity at higher
temperature. This trend is opposite to that of the normal Arrhenius type physisorption. Certainly, the
equilibrium adsorption of CO2 will not increase monotonically with temperature, and it peaks around
333 K and then declines with further increase of temperature. A “bell shaped” isobar of CO2 adsorption
is observed from figure CS2, which is signatory to trapdoor effect previously reported for weak
molecules like CH4 and N2 in r2.2KCHA [133, 134]. However, it is rare to see temperature regulated
admission of CO2 molecules, because CO2 is able to interact strongly with door‐keeping cations due to
its large quadrupole moment (13.4×10‐40 C∙m2) and polarizability (29.1×10‐25 cm‐3). This study suggests
if temperature is low enough, it is possible to restrict the pore access of trapdoor zeolites for strong
molecules like CO2, potentially enabling sieving of polar molecules.
PhD Thesis Shamsur Rahman 170
Figure C2. CO2, N2 and CH4 adsorption isotherms on r1.9KCHA at (a) 273, (b) 303 and (c) 333 K, and (d) breakthrough curve for r1.9KCHA at 348 K and total pressures of 1 bar.
Based on the single component adsorption isotherms, one can boldly anticipate that the r1.9KCHA
will exclusively adsorb of CO2 but reject CH4 and N2 in a gas mixture in the temperature region of 273‐
333 K. However, such extrapolation can be risky as multicomponent selectivity is not always
guaranteed from equilibrium information of single components, regardless the model of prediction
(e.g. IAST [148] or extended Langmuir).
To evaluate the real separation selectivity of CO2 against CH4 and N2 on our r1.9KCHA, multicomponent
column breakthrough experiments were conducted using gas mixtures of CO2/N2 (or CH4):50/50 at
temperatures ranging from 303 up to 348 K, at 1 and 3 bar, respectively. In a typical run, a stainless
steel column containing 25.8 g of tightly packed r1.9KCHA pellets (~1 mm in diameter) was initially
flushed by He and, then switched to the flow of target gas mixtures at the same pressure and the gas
composition and the mass flowrate at the outlet of the column were recorded as a function of elution
time to give the so‐called breakthrough curve (refer to Supporting Information below for full
PhD Thesis Shamsur Rahman 171
procedure) [96]. As shown by figure 2d, instantaneous elution of N2 occurred right after the gas switch
along with the flush of the prefilled He, while CO2 was detected at the outlet after a substantially
longer time, indicative of negligible loading of N2 but a substantial uptake for CO2. Remarkably, the
actual CO2/N2 and CO2/CH4 selectivities under these conditions are enormously large (summarized in
Table CS2), e.g. 688 for the case in figure 2d, as determined from mass balance calculations, which are
consistent with our earlier anticipations from single component isotherms.
Table C1. Comparison of the performance of the adsorbing materials with highest CO2 selectivities.
a selectivity were obtained from breakthrough exp., b selectivity were calculated from single‐
component isotherms.
In CO2 capture applications, a high selectivity for CO2 over the other components of the gas mixture is
essential [135]. The comparison of the performance of as‐synthesized chabazite with common CO2
adsorbing materials are listed in Table C1. However, the selectivity factors obtained from
multicomponent breakthrough experiments are quite limited. Many of the selectivity numbers
reported are calculated from the pure‐component adsorption isotherms. Furthermore, the CO2
selecitivities over N2 are frequently determined at or below 298 K. It would be more realistic to obtain
ideal adsorbents for post‐combustion carbon capture processes, if the adsorbents can exhibit a high
PhD Thesis Shamsur Rahman 172
CO2 over N2 selectivity in the range of 313‐3363 K. As shown in Table C1, the selectivities of CO2 over
N2 and CH4 on our prepared chabazite are dramatically large, which are the highest for CO2 over N2
and CH4 among all the physisorbents to the best of our knowledge. It is worth mentioning that such
high CO2/N2 selectivity was achieved at 348 K, within the temperature range of real flue gases.
Apparently, as‐synthesized chabazite with unparalleled CO2 selectivities, could be used as an ideal
adsorbent for CO2/N2 and CO2/CH4 separation.
In summary, we have discovered a novel approach to produce low silica chabazites from fly ash. The
as prepared chabazite was well‐crystallized exhibiting typical walnut‐like shape morphology with a
uniform size distribution. Adsorption measurements showed dramatically large selectivities of CO2
over N2 and CH4 on our chabazite, suggesting promising performance for the separation of real gas
mixtures such as flue gas and natural gas streams. Additionally, this work demonstrates a new
pathway of recycling fly ash for the manufacture of high value added products.
PhD Thesis Shamsur Rahman 173
CS ‐ Supporting Information (SI)
CS1 ‐ Experimental section
The fly ash used in this study was obtained from Shanlu Power Plant, China, and the composition (in
wt %) is as follows: Si (22.6 wt %), Al (21.6 wt %), Fe (1.4 wt %), and Ca (2.4 wt %).
The synthesis procedure for chabazite involved two steps viz. fusion and hydrothermal treatment. In
a typical procedure, 5 g of fly ash was fused with KOH solid in a tube furnace at 923 K for 1 hour, using
the KOH/fly‐ash mass ratios of 2.5.Then, 5 g of the resulting product was dissolved in 20 ml water with
vigorously stirring for 30 min, followed by ageing of 1 h. Finally, the mixture was transferred into an
autoclave and heated at 368 K for 4 days under static conditions. After cooling to the room
temperature, the resultant solid was filtered, washed three times with deionized water, and dried at
373 K overnight.
CS2 ‐ Characterisations
The crystalline properties of the raw materials and the synthesized samples were determined by X‐ray
diffraction (XRD) using a Shimadzu X‐ray diffractometer, with a scanning rate of 2°/min from 4° to 60°.
FE‐SEM (Field Emission Scanning Electron Microscopy) analysis was conducted by employing a ZEISS
scanning electron microscope operated at 15 kV.
PhD Thesis Shamsur Rahman 174
Figure CS1. SEM micrograph of fly ash.
280 300 320 340
0.4
0.6
0.8
1.0
1.2
1.4
1.6
CO2
Gauss fitted isobar
CO
2 ads
orpt
ion
capa
city
(m
mol
/g)
Temperature (K)
Figure CS2. Isobar of as‐synthesized r1.9KCHA at 0.5 bar.
CS3 ‐ DFT calculations
All results were calculated using the Vienna Ab initio Simulation Package (VASP) [149] with the
projector augmented waves (PAW) approach [150] . The cut‐off energy of the plane wave basis‐set
was 405 eV. A gamma point only k‐point mesh was used for one unit cell of chabazite (including three
double six‐ring prisms or one and a half supercavities). Such cut‐off energy and k‐point mesh have
PhD Thesis Shamsur Rahman 175
been tested to ensure the total energy value convergence within 1 meV/atom. The atomic positions
were optimized with the conjugate gradient method until the forces acting on atoms were below
0.015 eV/Å, as suggested by Göltl and Hafner [143] . To account for the van der Waals interactions,
we also adopted the DFT‐D3 functional (with IVDW=11). We applied the nudged‐elastic‐band (NEB)
method for energy barrier calculations.
To understand the effect of Si/Al ratio (cation density) on the threshold gas admission temperature,
we determined and compared the energy barrier associated with the migration of door‐keeping
potassium cation (K+) in r3KCHA and r1KCHA using density functional theory calculations. Such energy
barrier should rely on the affinity of the K+ to both the starting point and ending point, respectively of
the migration pathway. For the same type of cation site (i.e., 8MR, 6MR, or 4MR site), the affinity can
be different due to the difference in the number of aluminium atoms contained at this site. A cation
site with more aluminum atoms in the ring (thus more negative charge) imparts higher affinity to the
K+ sitting at this site. A zeolite with a Si/Al ratio other than one would have various types of aluminium
distribution in the zeolite framework and thus various affinities to the cation for the same type of
cation site. In our case, r1KCHA has sole aluminum distribution while r3KCHA has varied aluminum
distribution. Thus when we consider K+ migration pathway for opening the “door” (i.e., K+ moves from
8MR site to 4MR site [134]), we need to consider the combinations of different 8MRs and 4MRs in the
case of r3KCHA. Apart from aluminum distribution, the number of K+ adjacent to the ending point of
migration (4MR site) will also affect the energy barrier associated with cation migration process, given
that these adjacent K+ will repel the incoming K+. In the case of r3KCHA, the effect of adjacent K+ is
absent since totally 9 K+ occupies all nine 8MR in one unit cell and there is no excess K+ sitting at 4MR
site, while there exist excess K+ cations to occupy 4MR sites in r1KCHA. Considering the above two
factors – variable aluminium distribution and “adjacent K+ cations” and to simply the discussion, we
only study the cation migration path associated with the lowest possible energy barrier. For r1KCHA,
we consider a K+ migrating from an 8MR site to an adjacent 4MR site with no other adjacent K+ and
the energy barrier is determined to be 1.22 eV (see Fig. 1a). For r3KCHA, we consider a K+ migrating
PhD Thesis Shamsur Rahman 176
from an 8MR site (with only one Al in the ring) to an adjacent 4MR site (with 2 Al in the ring) and the
energy barrier is determined to be 0.96 eV (see Fig. 1b). We can conclude that potassium chabazite
with lower Si/Al ratio imparts higher energy barrier for the migration of door‐keeping K+ and thus
higher threshold gas admission temperature. This explains why N2 and CH4 are excluded by r1KCHA
at ambient temperature but admitted by r3KCHA.
Figure CS3. 3D structures of chabazite.
Figure CS4. Structure changes of potassium chabazite systems of r1KCHA and r3KCHA during CO2 adsorption process. The migration of the door‐keeping potassium cation (marked by the white cross)
at different steps was tracked to elucidiate the pore opening procedure in these two types of trapdoor chabazites with different cation density.
PhD Thesis Shamsur Rahman 177
CS4 ‐ Multicomponent breakthrough experiments
Binary breakthrough experiments were examined by a dynamic column breakthrough apparatus [96],
which consists of a stainless steel adsorption column (130 mm long and 22.2 mm internal diameter).
Feed gas was flown to the column controlled by four mass flow controllers (MFCs) where a four way
valve controls whether helium or a combination of helium, methane (or CO2) and nitrogen. The
effluent gas flow rate was measured by an orifice type mass flow meter (MFM) which was then
corrected for the gas composition.
Table CS1. The gas selectivities and capacities on chabazite.
Run # Temperature
(oC)
Pressure
(bar)
CO2 Adsorption
(mmol/g)
CH4 Adsorption
(mmol/g)
N2 Adsorption
(mmol/g) Selectivity
#1 30 1 1.0126 n.a. 0.0112 90.41
#2 60 3 0.9654 n.a. 0.0088 109.70
#3 75 1 0.8266 n.a. 0.0012 688.83
#4 30 1 0.9320 0.0016 n.a. 582.50
PhD Thesis Shamsur Rahman 178
Appendix D
D1 ‐ Foreword
The following manuscript has been submitted to Communications Chemistry for publication. It is
reproduced here as it is based on the work reported in Chapter 2.
D2 ‐ Temperature Dependence of Adsorption Hysteresis in Flexible Metal Organic
Frameworks
Shamsur Rahman, Arash Arami‐Niya, Xiaoxian Yang, Gongkui Xiao, Gang (Kevin) Li, Eric F. May
“Breathing” and “gating” are striking phenomena exhibited by flexible Metal Organic Frameworks
(MOFs) in which their pore structures transform upon external stimuli. These effects are often
associated with eminent steps and hysteresis in sorption isotherms. Despite significant mechanistic
studies, the accurate description of stepped isotherms and hysteresis remains a barrier to the
promised applications of flexible MOFs in molecular sieving, storage and sensing. Here we
investigate the temperature dependence of structural transformations in three flexible MOFs and
present a new isotherm model to consistently analyse the transition pressures and step widths. The
transition pressure reduces exponentially with decreasing temperature as does the degree of
hysteresis (c.f. capillary condensation). The MOF structural transition enthalpies range from +6 to
+31 kJmol‐1 revealing that the adsorption‐triggered transition is entropically driven. Pressure swing
adsorption process simulations based on flexible MOFs that utilise the model reveal how isotherm
hysteresis can effect separation performance.
The development and study of flexible porous materials, and metal‐organic frameworks (MOFs) in
particular, has been a major focus of the adsorption community over recent years. Interest in these
materials can be attributed to their potential use in a wide range of applications for gas separation,
gas storage, and catalysis [47‐53, 151]. The host‐guest interaction in flexible MOFs affects the host’s
pore characteristics and the associated accessibility by the guest molecule. The interaction may be
PhD Thesis Shamsur Rahman 179
classified as either: (1) a crystallographic phase transition causing a unit cell volume change (breathing
effect), or (2) a linker rotation and sub‐net sliding with no change in the unit cell volume (gate‐
opening). In both cases, the ability of these “soft materials” to change structure means their observed
adsorption characteristics are fundamentally different to that of conventional adsorbents [54, 55, 83].
The most obvious difference is the drastic increase in uptake that occurs when the number of
accessible adsorption sites in the framework suddenly changes in response to external stimuli such as
the adsorption/desorption of guest molecules [56, 57, 152]. This feature of flexible MOFs allows the
adsorption of guest molecules seemingly larger than the nominal crystallographic pore diameter to
suddenly increase. Such materials offer, in principle, a very high selectivity and could be very useful in
the development of gas separation technologies [153]. However, studies of MOF‐based applications
are limited by the lack of isotherm models able to accurately describe their abrupt changes in sorption
capacities.
Structural transitions triggered by gas phase pressure are guest‐dependent phenomena that cause the
MOF to change from a non‐porous (np) phase (narrow‐pores in breathing MOFs or closed‐pores in
gating MOFs) to a porous (lp) phase (expanded, large pores in breathing MOFs or open‐pores in gating
MOFs) [56, 57, 69, 154, 155]. This structural change occurs when a critical transition pressure, ptr, is
reached, causing a step‐change in the isotherm characterized by a finite transition‐width, (in Pa).
Moreover, the phase change is hysteretic [77, 156, 157] with the transition pressure measured along
the adsorption branch of the isotherm (increasing pressure), , being greater than that measured
along the desorption branch, , with the difference ptr ( relevant to the degree
of hysteresis typically significantly larger than . In this work, we investigated the dependence of ptr
on temperature for three different MOFs and explored their asymptotic behavior at low temperatures.
Fundamental simulations capable of modelling responsive adsorption processes in flexible porous
materials have been developed [158]. These simulations combine DFT calculations of adsorption in slit
pores with Helmholtz energy descriptions of the crystal as function of pore width, and cannot be
PhD Thesis Shamsur Rahman 180
readily fit to experimentally‐measured isotherms for real MOF samples, or used in simulations of
pressure swing adsorption processes based on such materials. Here we utilise a new emprical model
for flexible adsorbents that can efficiently extract salient features of measured hysteretic MOF
sorption isotherms and evaluate their dependence on temperature.
Results
The wide‐ranging data of Mason et al. [48] for methane sorption on Iron(II)‐1,4‐benzenedipyrazolate
(Fe(bdp)) and Cobalt‐1,4‐benzenedipyrazolate (Co(bdp)) provide excellent examples of MOF
hysteretic stepped sorption isotherms. Figure 1 shows the CH4 sorption capacity data along the two
extreme isotherms [48] for each MOF. The number of data acquired along each branch of each
hysteretic sorption isotherm is sufficient to clearly resolve the characteristic parameters ptr, ptr, and
as well as their respective temperature dependences.
Figure D1. Exemplar hysteretic sorption isotherms for CH4 on the MOFs (a) Fe(bdp) and (b) Co(bdp) measured by Mason et al.[48] , illustrating the key parameters in eq (D1).
To extract these parameters from stepped sorption isotherms, we developed an empirical model that
can be regressed to capacity data, q, measured along each branch, the basis and derivation of which
is detailed in the Supplementary Information (SI).
(D1a)
1√
(D1b)
(D1c)
PhD Thesis Shamsur Rahman 181
Here, qLangmuir is a Langmuir isotherm function with two adjustable parameters, K and Qm,
characterizing the initial slope and limiting sorption amount, respectively, at pressures below the np
lp phase transition. The function describes the stepped part of the sorption isotherm using
three additional adjustable parameters, ptr, and Qstep, where the latter represents the increase in
capacity after the phase transition (above that of qLangmuir). As detailed in the SI, the LJMY model can
be derived by assuming the sorption site energies made available by the MOF’s structural phase
transition have a Gaussian distribution. It is analogous to the LJM model developed by Li et al. [159]
which describes the temperature‐regulated admission and release of gases in microporous trapdoor
materials. To describe a branch of a hysteretic stepped sorption isotherm for a given MOF, the LJMY
model may be combined with any classical sorption isotherm model (e.g. Sips, Toth) as required to
best describe the data.
Equation (DD1) was regressed to each branch of the sorption isotherms for Fe(bdp) and Co(bdp)
measured by Mason et al. [48] o determine the five parameters, ptr, , Qstep, K and Qm. The best‐fit
LJMY parameter values, their statistical uncertainties and the fit’s standard error are listed for CH4
sorption on Fe(bdp) and Co(bdp) in Tables DS1 and DS2, respectively. Figure D2 shows the
temperature dependence and hysteresis of the best‐fit parameters ptr and for these MOFs. Figures
D2(a) and D2(c) show that the transition pressures measured on the adsorption and desorption
branches have statistically significant differences in their temperature dependence, with
varying more rapidly in both cases than . In constrast, the degree of hysteresis in the transition
width is much smaller, with no statistically significant difference between (ads) and (des) observed for
Fe(bdp) at any temperature. For Co(bdp) a small difference in the temperature dependence of (ads)
and (des) is apparent, although at 323 K the (largest) difference is only about twice the combined
statistical uncertainties of the fit parameters.
PhD Thesis Shamsur Rahman 182
Figure D2. Transition pressure ptr (a, c) and transition width, , (b, d) vs temperature, T, for the sorption of CH4 on Fe(bdp) and Co(bdp) extracted from the data of Mason et al [48] with eq (D1). Statistical uncertainties are shown as error bars in all panels but are smaller than the symbol for ptr
in (a) and (c).
Figure D2 shows that the width of the MOF’s structural hysteresis, ptr, decreases with reducing
temperature. This is opposite to the behavior observed for hysteresis associated with capillary
condensation in classical adsorbents with a rigid structure, which becomes larger at lower
temperatures [73, 160].
Simple extrapolations of the apparently linear trends in and with temperature exhibited
in figure D2 suggest that the hysteresis in the sorption isotherms might disappear (e.g. ptr 0)
around 210 K and 230 K for Fe(bdp) and Co(bdp), respectively. Measuring sorption capacities
accurately at such temperatures is very challenging and so an alternative flexible adsorbent was
sought to investigate the asymptotic behaviour of structural hysteresis with temperature. Analysis of
the data published by Arami Niya et al.[59] for CO2 sorption on a zeolitic imidazolate framework (ZIF‐
7) above 273 K suggested that ptr 0 as T 265 K, a significantly more accessible temperature.
PhD Thesis Shamsur Rahman 183
Accordingly, ZIF‐7 was synthesized following Arami‐Niya et al. [59]. The adsorption and desorption of
pure CO2 on the ZIF‐7 was measured at eight temperatures between 233 K and 293 K at pressures up
to 0.1 MPa. Figure D3 shows the measured data together with the fits of the LJMY‐Langmuir model
for each isotherm; these are also listed in Table DS3 (fit parameters) and Table DS5 (data). At the
lowest temperatures measured, ZIF‐7 exists in the lp phase even when the CO2 pressure is around 2
kPa. Moreover the hysteresis for CO2 on ZIF‐7 becomes progressively smaller as the temperature is
reduced, consistent with the observations of ptr for Fe(bdp) and Co(bdp). However, ptr does not
become zero at any of the temperatures measured for ZIF‐7.
PhD Thesis Shamsur Rahman 184
Figure D3. Equilibrium CO2 capacities, q, measured in adsorption (filled symbols) and desorption (empty symbols) for ZIF‐7 at pressures, p, to 0.1 MPa, and eight temperatures T from (233 to 293) K.
Curves represent fits of the LJMY‐Langmuir model (eq. (DD1) and described in the SI).
PhD Thesis Shamsur Rahman 185
At the four lowest temperatures shown in figure D3 for CO2 on ZIF‐7, ptr and are both less than
3 kPa. This makes high resolution measurements of the step in the sorption isotherm difficult and
determination of ptr, , Qstep, K and Qm by regressing each branch separately can be challenging. In
such cases, simultaneously fitting both branches of the hysteretic sorption isotherm as described in
the SI can be helpful.
Figure D4. (a) Variation of transition pressures, ptr, with temperature and (b) relative to the value ptr0 at 303 K value for CO2 on ZIF‐7. (c) Variation of ptr with temperature and (d) with the transition
pressure measured in desorption, .
Figure D4 shows that over a wide temperature range the transition pressures do not vary linearly but
are instead described by the Clausius‐Clapeyron equation.
ln∆
(D2)
Here, is the transition pressure (for either adsorption or desorption), at a reference temperature,
T0; R is the universal gas constant; and Htr is the enthalpy associated with the material’s structural
transition (np lp). Regression of eq (DD2) to the measured for CO2 on ZIF‐7 gives
∆ = (30.1 1.1) kJmol‐1 while fitting to gives ∆ = (31.4 1.6) kJmol‐1. Thus while
PhD Thesis Shamsur Rahman 186
there is an offset between the transition pressures measured in adsorption and desorption, (reflected
by different values of for the two branches) their dependence on temperature is the same.
However over the temperature ranges measured by Mason et al. [48], ∆ = (9.1 0.2) kJmol‐1
and ∆ = (8.3 0.1) kJmol‐1 for CH4 on Fe(bdp), while ∆ = (9.1 0.3) kJmol‐1 and
∆ = (5.6 0.5) kJmol‐1 for CH4 on Co(bdp). The SI presents the results of fits to isotherms
measured for CO2 on amino‐MIL‐53 (Al) [60], from which values of ∆ = 15 kJmol‐1 and
∆ = 19 kJmol‐1 can be estimated. In general, the temperature dependence of and
could depend on the MOF, adsorbate and/or the temperature range considered.
The asymptotic temperature dependence of ptr follows from eq (DD2). Whereever ≡ ∆
∆ is finite, the transition pressure hysteresis will vary according to
δ exp 1 (D3)
where the temperature dependence of is given by eq (DD2). When 0 (e.g. CO2 on ZIF‐
7)
δ δ exp ∆
(D4a)
δ 1 (D4b)
Here δ is the difference in the transition pressures on the two branches at the reference
temperature. Equation (D4) explains the exponential trend shown in figure D4(c) and the linear
correlation in figure D4(d). Equations (D3) and (D4) also enable the asymptotic behaviour of the
transition pressure hysteresis observed for Fe(bdp) and Co(bdp) to be predicted reliably, in contrast
to the simplistic linear extrapolations with temperature shown in Figure D2.
Discussion
As discussed by Schneeman et al. [57], the hysteresis observed in a MOF’s stepped isotherm is due to
the energy penalty associated with increasing interfacial area as np lp. No such energy barrier
PhD Thesis Shamsur Rahman 187
needs be overcome for the reverse lp np structural change: hence the isotherm’s desorption
branch corresponds to thermodynamic equilibrium, while the adsorption branch reflects the system
accessing metastable states. The positive Htr values indicate that the MOF’s structural transition is
entropically driven with the lp state being less‐ordered than the np state. This is consistent with
previous but less precise estimates by microcalorimetry: for CO2‐driven structural transitions,
Llewellyn et al. [70] estimated +20 kJmol‐1 for MIL‐53 (Cr) and Du et al. [66] estimated +7 kJmol‐1 for
ZIF‐7. The latter is significantly smaller than the value obtained here likely because of the difficulty
separating the exothermic adsorption process from the endothermic structural transition.
Interpreting the non‐zero value of ≡ ∆ ∆ observed for CH4 on Co(bdp) is more
difficult. Potentially, non‐zero Htr values might reflect a combination of effects (e.g. structural
transition plus pore filling/emptying, hysteresis in crystal lattice strain) occurring simultaneously
and/or asymmetrically along the isotherm’s two branches.
The SI shows how the LJMY‐Langmuir model can be used to more reliably simulate PVSA separation
processes utilizing flexible MOFs. To achieve optimal separation performance, the transition pressures
and widths on both branches of the isotherm must be considered appropriately when specifying the
PVSA cycle’s high and low pressures. Additionally, use of only a single branch (desorption or
adsorption) in the simulation will produce an overly optimistic prediction of the separation
performance, relative to that calculated with the fully hysteretic isotherm.
Conclusions
The temperature dependence and hysteresis of stepped sorption isotherms associated with structural
transitions was studied for three flexible MOFs: Fe(bdp) with CH4, Co(bdp) with CH4, and ZIF‐7 with
CO2. A five‐parameter model developed to describe stepped sorption isotherms enabled the transition
pressures, ptr, widths, , and hysteresis ptr ( , to be consistently and robustly
analysed. In contrast to capillary condensation, ptr increases with temperature with a Clausius‐
Clapeyron dependence. At low temperatures, ptr approaches an asymptotic limit proportional to
PhD Thesis Shamsur Rahman 188
. The MOFs’ structural phase transitions are entropically driven with enthalpy changes ranging
from (5 to 31) kJmol‐1. Curiously, the structural transition enthalpy for CH4 on Co(bdp) is 60 % larger
in adsorption than desorption, possibly due to multiple effects occurring simultaneously or
asymmetrically along the two isotherm branches.
Methods
Gas adsorption measurements. A volumetric measurement system (model ASAP2020 by
Micromeritics) was used to measure ZIF‐7 sorption capacity for CO2 along multiple isotherms [161].
Before the isotherm measurements, the ZIF‐7 sample [59] was thoroughly dehydrated and degassed
by heating stepwise to 473 K under high vacuum overnight. The degassed sample was cooled to room
temperature and backfilled with helium. Adsorption isotherms for CO2 on ZIF‐7 were measured in the
temperature range of 233–293 K at pressures up to 120 kPa. The adsorption temperatures were
controlled by a homemade heating jacket connected to a thermostatic liquid bath (Ultra‐Low
Refrigerated Circulators JULABO FP88) filled with either silicone oil (for T > 283 K) or ethanol
(T 283 K). The temperature of the bath fluid was measured by a 100 platinum resistance
thermometer.
The equilibration required at each pressure was determined automatically by the ASAP2020 system
with the criterion being a relative pressure change of less than 0.01% over an interval of 15 seconds.
For the adsorption measurements on ZIF‐7, the equilibration time varied from 5 minutes to 15 hours
across all temperatures, with an average value of 92 minutes. For the desorption measurements, the
equilibration time ranged from 5 minutes to about 4 days, with an average value of 2 hours. The
longest equilibration times occurred at low temperatures (233 K and 238 K) and pressures less
than about 1 kPa. The relative combined standard uncertainty of sorption capacity, uc(qi)/qi, measured
with this ASAP2020 was estimated previously [131, 161] to be 1.4 %.
PhD Thesis Shamsur Rahman 189
Acknowledgements
This research was funded by the Australian Research Council through IC150100019 and DP190100983.
S.R was supported by an Australian Government Research Training Program Scholarship.
Author Contributions
S.R., A.A., G.L. and E.F.M. conceived and designed the experiments. S.R. and A.A. performed the
synthesis and measured the adsorption isotherms. S.R. A.A. and E.F.M. interpreted the adsorption
data and discussed the findings in this paper. X.Y., G.L. and E.F.M. derived the stepped adsorption
isotherms model. G.X. and S.R. performed the Aspen Adsorption simulations. S.R., A.A., G.L. and E.F.M.
wrote the paper. All authors discussed the results and commented on the manuscript.
PhD Thesis Shamsur Rahman 190
DS ‐ Supporting Information (SI)
DS1 ‐ Derivation of the LJMY model for stepped sorption isotherms
The equation for qLJMY is based on a conceptual model, which assumes that the increased capacity
associated with the step is a result of a localized structural phase transition in the adsorbent material
(MOF), triggered by the presence of an adsorbed phase. While the model may be applied to regress
hysteretic stepped isotherms for either so‐called breathing or gating MOFs, the conceptual description
detailed below applies to gating MOFs, where in the absence of an adsorbate the crystal is in a narrow‐
pore (np) state [57]. Before the coverage of the adsorbed phase is sufficient, the interfacial energy
penalty associated with the MOF surface forces the crystal to minimize its area [69]. However, as the
amount of adsorbed phase in a local region of the surface increases with gas pressure, the interfacial
free energy of the MOF in that local region decreases. At some threshold value, the reduction in the
interfacial free energy is sufficient to drive a localized crystalline phase transition of the MOF, with the
resulting structure having a much larger surface area: this may be called the large‐pore (lp) state [69].
The spatial extent of the crystalline transition is limited by the amount of adsorbed phase available to
lower the interfacial energy of the MOF surface. Further increases in gas phase pressure and
adsorption allow the MOF crystal transition to propagate further throughout the material until the
sample reaches its maximum possible surface area.
The conceptual model also assumes that the threshold gas pressure required to induce structural
transition in the MOF varies throughout the sample and is described by a Gaussian distribution with a
mean and standard deviation of ptr and , respectively. One possible explanation for this relates to
the distribution of pore length scales within the np state. These varying length scales influence the gas
pressure, p, required locally for an amount of adsorption sufficient to trigger the structural transition.
Pores in the sample with lower threshold pressures trigger a local np to lp transition earlier along the
adsorption isotherm, and the variation between pores is the reason that the entire sample does not
undergo the transition at a single pressure. This Gaussian distribution would essentially describe the
PhD Thesis Shamsur Rahman 191
probability density function, Pr(p), for MOF pores in the np state to have undergone the structural
transition.
√exp
(DS1)
The total adsorbed capacity at a given pressure associated with the MOF structural transition is
determined by integrating this probability density function
1√
(DS2)
where Qstep is the maximum sorption capacity increase resulting from the MOF structural change. To
describe a branch of a hysteretic stepped sorption isotherm for a given MOF, the LJMY model may be
combined with any classical sorption isotherm model (e.g. Sips, Toth) as required to best describe the
data. Here we chose the Langmuir function to minimise the number of adjustable parameters being
regressed: the combined function shown in eq. (D1a) of the main text is therefore the LJMY‐Langmuir
model.
To regress both branches of a hysteretic isotherm simultaneously a dummy independent variable, y,
may be introduced into the fit function. During the regression, the value of y determines along which
branch of the isotherm the data were measured. It can be convenient to set y = 0 as corresponding to
the desorption branch and y = 1 as corresponding to the adsorption branch. This allows quantities that
take on different values for the two branches, (e.g. and ) and must therefore be
represented by two separate parameters, to be expressed in terms of y. For example, to
simultaneously regress eq (D1) to both branches of a stepped sorption isotherm while constraining
four of the parameters (, Qstep, K and Qm) to have the same value on each branch, the capacity
function can be defined
, 1
√
(DS3)
PhD Thesis Shamsur Rahman 192
where the additional adjustable parameter, , has been introduced. This allows the transition
pressures along the desorption and adsorption branches to be identified as:
(DS4a)
1 (DS4b)
Fundamental simulations capable of modelling responsive adsorption processes in flexible porous
materials have been developed [158], which allow for a strained framework to exist during the
transition between the np and lp phases as the unit cell parameters change [48, 59]. The parameters
extracted by fitting the LJMY isotherm to experimental data could in principle be related to the
predictions of fundamental models that couple pore width with DFT calculations and can account for
the effect of strain in the crystal. This might provide a pathway to efficiently quantifying the effect of
strain on observed isotherms.
Of the parameters in the LJMY model, the transition width, , is the most likely to be influenced by
the effects of strain, particularly in those cases where there is hysteresis in its value between the
adsorption and desorption branch. For example differences in strain caused by the np to lp transition
from those caused by the lp to np transition might manifest themselves in a non‐zero = (ads) ‐
(des) as observed for Co(bdp).
However, the LJMY model does not make any direct reference to crystal strain. Any connection
between the LJMY parameters extracted by fitting to sorption isotherm data and more fundamental
simulations that do include crystal strain will need to be inferred by analysing the predictions of those
simulations. Additionally, the LJMY model cannot treat stepped isotherms where the observed
sorption capacity does not increase monotonically with pressure, for example as observed for
materials that exhibit negative gas adsorption [83]. The primary purpose of the LJMY model is to serve
as a useful tool for analysing experimental sorption isotherms measured for particular combinations
PhD Thesis Shamsur Rahman 193
of guests and flexible adsorbents, and representing those isotherms in simulations of pressure swing
adsorption processes based on those materials.
DS2 ‐ Results of LJMY‐Langmuir model regression to MOF isotherm data
Tables DS1 to DS3 show the best‐fit parameters obtained from regressing the LJMY‐Langmuir model
to the MOF isotherm data. For each isotherm, three sets of parameters are listed: a fit to each branch
separately and the results of fitting both branches simultaneously with eq (DS3).
Fitting both branches simultaneously with eq (DS3) constrains , Qstep, Qm and K to have the same
value in adsorption and desorption, preventing any investigation of hysteresis in these quantities.
Particularly for the Fe(bdp) and Co(bdp) data, different values of Qstep on the two isotherm branches
are needed to accurately represent the measured data across all conditions, especially when the
hysteresis in transition pressure becomes at higher temperatures. Appreciably worse fits are achieved
in these cases if the branches are fit simulatenously.
A possible physical explanation for the hysteresis in Qstep suggested by fitting the branches separately
is that at higher temperatures the properties of the adsorbed phase do not lower the MOF’s interfacial
free energy as effectively and hence significantly more adsorption is necessary to induce the np to lp
structural transition.
However, care should be taken not to over‐interpret the best‐fit value of Qstep obtained from a fit to a
single isotherm branch, because it is correlated with Qm and Kp. In contrast, p(tr) and , which are of
primary interest in this work, are robustly orthogonal to the other parameters in the model; their
values and uncertainties do not change significantly if the branches are fit simultaneously, although
their statistical uncertainties inherently increase if the fit quality deteriorates. Accordingly to more
accurately investigate the dependence of p(tr) and on temperature and isotherm branch, the values
obtained by fitting the independent branches were used in the main text.
PhD Thesis Shamsur Rahman 194
Table DS1. Values and statistical standard uncertainties, u, of best fit parameters determined by regression of the LJMY‐Langmuir model (eq (D1) or eq (DS3)) to the data of Mason et al. [48] for sorption of CH4 on Fe(bdp), together with the standard error of the fit.
Table DS2. Values and statistical standard uncertainties, u, of best fit parameters determined by regression of the LJMY‐Langmuir model (eq (D1) or eq (DS3)) to the data of Mason et al. [48] for sorption of CH4 on Co(bdp), together with the standard error of the fit.
Table DS3. Values and statistical standard uncertainties, u, of best fit parameters determined by regression of the LJMY‐Langmuir model (eq (D1) or eq(DS3)) to the data
measured in this work and by Arami‐Niya et al. [59] at 303 K for the sorption of CO2 on ZIF‐7, together with the standard error of the fit.
Table DS4. Values and statistical standard uncertainties, u, of best fit parameters determined by regression of the LJMY‐Langmuir model (eq (D1) or eq(DS3)) to the data of
Couck et al. [162] for sorption of CO2 on CH4 on MIL‐53(Al), together with the standard error of the fit.
T / K ptr / MPa u(ptr) / MPa / MPa u() / MPa Qstep /
Regression of eq (D2) to the values of ptr measured for CO2 on MIL‐53(Al) at 303 K and 288 K gives ∆ = 15 kJmol‐1 and ∆ = 19 kJmol‐ 1
PhD Thesis Shamsur Rahman 198
Figure DS1. Hysteretic sorption isotherms for CH4 on the Fe(bdp) measured by Mason et al. [48] Symbols: experimental data; curves: calculated with LJMY‐Langmuir model. (left) Adsorption or
desorption branch at each temperature was fitted separately. (right) The adsorption and desorption branches at each temperature were fitted simultaneously.
PhD Thesis Shamsur Rahman 199
Figure DS2. Hysteretic sorption isotherms for CH4 on the Co(bdp) measured by Mason et al. [48] Symbols: experimental data; curves: calculated with LJMY‐Langmuir model. (left)Adsorption or
desorption branch at each temperature was fitted separately. (right) The adsorption and desorption branches at each temperature were fitted simultaneously.
PhD Thesis Shamsur Rahman 200
Figure DS3. Equilibrium CO2 capacities, q, measured in adsorption (filled symbols) and desorption (empty symbols) for ZIF‐7. Curves represent fits of the LJMY‐Langmuir model with adsorption and
desorption branched at each temperature fitted simultaneously.
PhD Thesis Shamsur Rahman 201
DS3 ‐ Measurements of CO2 sorption on ZIF‐7
The ZIF‐7 was synthesized following the method detailed by Arami Niya et al. [163]. A Micromeritics
ASAP2020 instrument was used to measure the equilibrium capacities tabulated below:
Table DS5. Equilibrium capacities, q, of CO2 on ZIF‐7 measured in adsorption and desorption as a function of pressure, p, and temperature, T. The relative combined standard uncertainty of sorption capacity, uc(qi)/qi, measured with this ASAP2020 was estimated previously [131, 161] to be 1.4 %
Adsorption Desorption
T / K p / kPa q / mol.kg‐1 T / K p / kPa q / mol.kg‐1
233 0.094 0.020 233 19.210 1.868
233 0.463 0.084 233 9.539 1.808
233 1.134 0.147 233 5.116 1.735
233 1.867 0.333 233 3.872 1.696
233 3.965 1.646 233 3.119 1.663
233 26.087 1.879 233 1.912 1.573
233 1.038 0.591
233 0.491 0.445
238 0.096 0.017 238 39.755 1.893
238 0.479 0.064 238 28.915 1.869
238 1.028 0.098 238 19.337 1.835
238 1.997 0.178 238 9.868 1.767
238 2.998 0.729 238 5.175 1.679
238 4.300 1.551 238 3.994 1.637
238 16.122 1.812 238 3.102 1.592
238 20.958 1.838 238 2.082 1.463
238 30.621 1.872 238 1.017 0.457
238 39.755 1.893 238 0.511 0.390
244 0.558 0.055 244 40.803 1.859
244 1.232 0.163 244 38.209 1.853
244 3.319 0.483 244 35.721 1.847
244 5.304 1.356 244 34.969 1.845
PhD Thesis Shamsur Rahman 202
244 39.251 1.853 244 32.530 1.839
244 42.612 1.862 244 29.975 1.831
244 44.745 1.867 244 27.494 1.822
244 44.951 1.868 244 25.008 1.812
244 22.490 1.800
244 20.024 1.787
244 17.508 1.771
244 15.046 1.752
244 12.100 1.722
244 9.142 1.679
244 6.890 1.632
244 4.797 1.564
244 3.918 1.484
244 2.791 1.134
247 4.974 0.454 247 100.039 1.913
247 10.819 1.519 247 93.244 1.908
247 24.376 1.750 247 88.228 1.904
247 27.335 1.766 247 83.229 1.899
247 30.383 1.780 247 80.034 1.896
247 31.882 1.787 247 75.074 1.890
247 35.129 1.800 247 70.081 1.884
247 38.003 1.809 247 65.106 1.878
247 40.932 1.818 247 59.964 1.871
247 44.045 1.827 247 55.965 1.865
247 46.949 1.834 247 52.933 1.860
247 50.009 1.841 247 50.102 1.855
247 53.055 1.847 247 47.128 1.849
247 56.070 1.853 247 43.960 1.842
247 60.043 1.861 247 40.955 1.835
247 65.084 1.869 247 37.966 1.828
PhD Thesis Shamsur Rahman 203
247 69.974 1.876 247 34.983 1.819
247 75.050 1.883 247 31.953 1.810
247 80.019 1.890 247 29.014 1.800
247 85.041 1.896 247 26.007 1.787
247 89.999 1.902 247 23.014 1.773
247 95.047 1.908 247 20.021 1.756
247 100.039 1.913 247 17.062 1.735
247 14.035 1.709
247 11.091 1.674
247 8.179 1.625
247 4.770 1.524
253 4.815 0.378 253 100.030 1.895
253 14.433 1.639 253 93.259 1.889
253 44.292 1.805 253 88.280 1.884
253 48.597 1.817 253 83.272 1.879
253 51.649 1.824 253 80.031 1.876
253 53.014 1.828 253 75.071 1.870
253 56.135 1.834 253 69.952 1.863
253 60.061 1.841 253 65.050 1.856
253 65.001 1.850 253 60.116 1.848
253 70.046 1.858 253 55.948 1.841
253 75.052 1.865 253 52.936 1.835
253 80.067 1.872 253 49.967 1.829
253 85.052 1.878 253 46.957 1.822
253 90.027 1.884 253 43.974 1.815
253 95.052 1.889 253 40.949 1.807
253 100.030 1.895 253 37.978 1.798
253 34.949 1.789
253 32.008 1.778
253 28.987 1.765
PhD Thesis Shamsur Rahman 204
253 26.027 1.751
253 23.014 1.734
253 20.008 1.714
253 17.054 1.690
253 14.065 1.658
253 11.106 1.618
253 8.206 1.560
253 5.227 1.273
253 2.576 0.323
253 1.278 0.222
273 2.617 0.067 273 100.014 1.703
273 7.219 0.217 273 93.423 1.695
273 13.795 0.345 273 88.327 1.688
273 15.425 0.383 273 83.368 1.680
273 19.720 0.604 273 79.937 1.674
273 24.830 1.121 273 75.120 1.665
273 43.801 1.561 273 70.046 1.655
273 46.423 1.574 273 65.139 1.643
273 51.191 1.593 273 60.011 1.630
273 54.956 1.606 273 55.162 1.617
273 60.003 1.622 273 49.984 1.601
273 65.044 1.636 273 44.970 1.583
273 70.072 1.648 273 39.990 1.562
273 75.042 1.659 273 35.004 1.537
273 80.049 1.669 273 30.047 1.508
273 85.036 1.679 273 25.073 1.472
273 90.052 1.687 273 20.207 1.423
273 95.026 1.696 273 14.809 1.153
273 100.014 1.703 273 9.719 0.363
273 3.995 0.208
PhD Thesis Shamsur Rahman 205
273 2.581 0.163
273 0.919 0.105
283 4.887 0.119 283 99.522 1.595
283 8.593 0.173 283 79.641 1.559
283 11.262 0.206 283 60.039 1.508
283 13.821 0.239 283 54.698 1.491
283 16.983 0.282 283 52.825 1.484
283 19.874 0.328 283 50.112 1.474
283 22.848 0.386 283 46.964 1.461
283 25.602 0.470 283 43.971 1.448
283 29.106 0.699 283 40.970 1.434
283 32.381 0.999 283 37.976 1.418
283 38.553 1.243 283 34.985 1.401
283 40.825 1.296 283 32.013 1.381
283 44.605 1.373 283 29.029 1.358
283 46.934 1.410 283 26.131 1.326
283 50.024 1.447 283 22.671 1.228
283 53.027 1.471 283 19.514 0.940
283 55.990 1.488 283 17.398 0.535
283 59.988 1.504 283 14.576 0.351
283 80.031 1.558 283 11.034 0.258
283 99.522 1.595 283 7.865 0.195
283 4.868 0.137
293 5.084 0.113 293 99.399 1.582
293 7.853 0.145 293 79.814 1.540
293 11.803 0.182 293 60.472 1.480
293 13.776 0.199 293 54.912 1.456
293 16.960 0.225 293 52.791 1.446
293 19.961 0.249 293 50.005 1.430
293 22.931 0.274 293 47.033 1.409
PhD Thesis Shamsur Rahman 206
293 25.957 0.300 293 44.076 1.379
293 28.942 0.329 293 41.068 1.337
293 31.968 0.361 293 38.154 1.279
293 34.945 0.396 293 35.325 1.189
293 37.904 0.438 293 32.593 1.039
293 40.890 0.493 293 28.611 0.675
293 43.795 0.568 293 23.254 0.387
293 46.576 0.689 293 21.973 0.364
293 49.771 0.876 293 19.693 0.324
293 54.347 1.084 293 16.907 0.279
293 56.536 1.151 293 13.998 0.238
293 59.389 1.223 293 11.034 0.201
293 82.688 1.519 293 8.116 0.166
293 99.399 1.582 293 5.154 0.126
DS4 ‐ Temperature dependence and hysteresis of structural transition parameters
In the absence of structural information about a given adsorbent, observations regarding the
temperature dependence of any hysteresis in the sorption isotherm could help identify the nature of
the material. For example, the degree of isotherm hysteresis increases with decreasing temperature
when the hysteresis is caused by capillary condensation in the mesopores of a rigid material. This is in
contrast to the increase in isotherm hysteresis with increasing temperature associated flexible
adsorbent structural transformations. Potentially, investigating the temperature dependence and
resulting hysteresis of the isotherm’s transition pressures and/or transition widths could provide
additional insight into the nature of the material’s structural transformation.
For example, from eq (D2) if the ratio changes more with increasing temperature than
, then ∆ is larger than ∆ . For CO2 on ZIF‐7 over the temperature range
considered in this work, these enthalpy changes for each branch are statistically equivalent. For CH4
on Co(bdp), ∆ are 60 % larger than ∆ , while for CO2 on MIL‐53(Al), ∆ is 22 % smaller
PhD Thesis Shamsur Rahman 207
than ∆ . Further research is needed to investigate how these differences in ≡ ∆
∆ correspond to the specific nature of the structural transformation.
Such information may also be encoded within the transition width’s temperature dependence and
hysteresis. Figure DS4 shows the variation in this parameter for both branches of the sorption
isotherms measured for CH4 on Fe(bdp), CH4 on Co(bdp) and CO2 on ZIF‐7. No hysteresis in the
transition width is resolvable for CH4 on Fe(bdp) while for Co(bdp) the difference in between the
two branches is clear and increases with temperature. For CO2 on ZIF‐7 below 247 K the values of
determined for the adsorption and desorption branches are essentially statistically equivalent: at
higher temperatures a sustained difference in the range (3 to 5) kPa is observed. Collectively, the
results from these three MOFs suggest there might be a temperature below which is the same for
both branches of the isotherm, while at higher temperatures a hysteresis in this parameter becomes
increasingly manifest. As suggested in Section DS1, differences in the value of obtained for each
branch might reflect differences in the crystal strain caused by the direction of the np‐lp transition.
Alternatively (or in addition) the magnitude and temperature dependence of might contain
information about the sample’s heterogeneity. Clearly, however, such speculation needs to be
investigated further by measuring hysteretic sorption isotherms over a wider range of T, with
additional MOF‐adsorbate combinations, and through fundamental simulations with methods such as
those of Evans et al. [158].
PhD Thesis Shamsur Rahman 208
Figure DS4. Temperature dependence and hysteresis of the transition width parameter, , reported in Tables DS1 to DS3 when each branch is fit separately to eq (D1).
0.000.050.100.150.200.250.300.350.400.45
240 260 280 300 320 340
/ MPa
T / K
(a) CH4 on Fe(bdp)
ads
des
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0.45
240 260 280 300 320 340
/ MPa
T / K
(b) CH4 on Co(bdp)
ads
des
0.000
0.002
0.004
0.006
0.008
0.010
0.012
0.014
0.016
230 250 270 290 310
/ MPa
T / K
(c) CO2 on ZIF‐7
ads
des
PhD Thesis Shamsur Rahman 209
DS5 ‐ Pressure Vacuum Swing Adsorption simulation of a CH4/CO2 mixture with ZIF‐7
In principle, MOFs have significant potential for use in gas separation processes as a result of their
characteristic stepped isotherms, which could deliver benefits in terms of both selectivity and working
capacity. However, studies of process applications involving MOFs remain comparatively limited in
part because of the difficulty associated with the description of the stepped and hysteretic sorption
isotherms within the frameworks provided by process simulators. Here we demonstrate the use of
the LJMY‐Langmuir isotherm model within a simulation of a Pressure Vacuum Swing Adsorption
(PVSA) process separating an equimolar mixture of methane + carbon dioxide using ZIF‐7. The study
reveals the importance of rigorously considering the sorption isotherms, and particularly their
hysteresis, in both the design and simulation of the separation process.
A two‐bed, four‐step PVSA process was simulated numerically using the software package Aspen
Adsorption. A graphical layout of the simulation is shown in Figure DS5, and the step sequence is
listed in Table DS6.
Figure DS5. Graphical layout of the PVSA model built with Aspen Adsorption.
PhD Thesis Shamsur Rahman 210
Table DS6. PVSA cycle step sequence and timing
Step 1 Step 2 Step 3 Step 4
Time (s) 60 60 60 60
Bed 1 Adsorption Blowdown Evacuate Repressurisation
Bed 2 Evacuate Repressurisation Adsorption Blowdown
The column dimensions, adsorbent properties, and process conditions are listed in Table DS7, while
the isotherm parameters for CO2 and CH4 on ZIF‐7 at 303 K are listed in Table DS8. The values of the
ZIF‐7 isotherm parameters were obtained by fits of eq (D1) to the data measured by Arami‐Niya et al.
[163] for CO2 and to the data reported recently by Yang et al. [164] for CH4. The isotherm data and
corresponding fits of the LJMY‐Langmuir models are shown in Figure DS6.
Table DS7. Simulation parameters
Parameter Value
Nodes per column 20
Height of column (m) 0.3
Diameter of column (m) 0.03
Inter‐particle void fraction 0.348
Intra‐particle void fraction 0.146
Bulk solid density (kg/m3) 385.0
Particle radius (m) 0.0007
Mass Transfer Coefficient – CH4 (s‐1) 1
Mass Transfer Coefficient – CO2 (s‐1) 1
Column and gas temperature (K) 303.15
phigh in column (bar) 2, 1.5
plow in column (bar) 1.0, 0.8, or 0.6
Feed flowrate (mol/s) 3.4 × 10‐3
Feed gas mole fraction composition 0.5 CH4 + 0.5CO2
Table DS8. Values of the LJMY‐Langmuir sorption isotherm parameters for ZIF‐7 at 303 K used to simulate a PVSA separation of an equimolar CO2 + CH4
mixture, based on the data reported by Aram‐Niya et al. [163] and by Yang et al. [164].
Parameter CO2 CH4
Adsorption Desorption Adsorption Desorption
ptr / bar 0.793 0.497 6.99 4.76
/ bar 0.130 0.079 0.73 0.61
Qstep / molkg‐1 1.20 1.20 1.00 1.00
K / molkg‐1bar‐1 0.65 0.75 0.20 0.32
Qm / molkg‐1 0.89 0.89 0.88 0.79
PhD Thesis Shamsur Rahman 211
Figure DS6. Isotherm data and LJMY‐Langmuir fits for CO2 and CH4 on ZIF‐7 at 303 K.
A user‐defined isotherm model was implemented in Aspen Adsorption for both beds. The simulation
could be run using either (i) only the adsorption branch, (ii) only the desorption branch, or (iii) both
branches as part of a fully hysteretic model. In this third case, for a given step of the PVSA cycle the
appropriate branch of the isotherm was selected via a programming flag: during the “Adsorption” and
“Repressurisation” steps, the adsorption branch of the isotherm was selected, while for the
“Blowdown” and “Evacuate” steps, the desorption branch was selected. Sorption was assumed to be
non‐competitive: the equilibrium capacity of each component at a given node within the bed was
evaluated from the partial pressure of that component in the gas phase at that node. In principle,
competitive adsorption effects could be simulated using, for example, the Osmotic Framework
Adsorbed Solution Theory proposed by Coudert et al. [62].
To ensure complete utilisation of the step in the CO2 isotherm by the PVSA process, the CO2 partial
pressure needs to swing from to . The selectivity
inferred from the pure fluid isotherms reaches a maximum of about 7 at a (partial) pressure of
; at higher pressures the selectivity decreases as the CH4 uptake increases faster than
the CO2 uptake. To investigate the impact of varying the pressure swing limits in the PVSA cycle on the
separation performance, simulations were conducted for a high pressure of (2 and 1.5) bar, with
PhD Thesis Shamsur Rahman 212
desorption pressures of either (1, 0.8, 0.6 or 0.4) bar; for an equimolar mixture, these values span the
partial pressure limits identified above. The methane mole fraction of the light product stream (P1 in
Figure DS5) was the metric used to assess changes in separation performance. These pressure swing
limits and the resulting separation performance were also analysed in the context of the model used
to represent the CO2 sorption isotherm: either fully hysteretic, just the adsorption branch or just the
desorption branch. Figure DS7 shows the light product methane mole fraction produced by a PVSA
cycle using ZIF‐7 with phigh = 2 bar at the four values of plow considered, when the simulation used each
of the three isotherm models.
Figure DS7. Simulated methane content of light product (P1 stream in Figure DS5) produced from an
equimolar feed of CH4 + CO2 using ZIF‐7 in a 2‐bed, 4‐step PVSA process with phigh = 2 bar. For every
desorption pressure (plow) considered the result of using each of the three isotherm models
(adsorption branch, desorption branch or full hysteresis) is shown.
There are three key features of the results shown in Figure DS7 that inform the design and simulation
of PVSA cycles using a flexible MOF like ZIF‐7 with a hysteretic stepped isotherm.
1. The separation performance predicted using the fully hysteretic isotherm model is typically
worse than the performance predicted using either branch alone.
0.0
0.2
0.4
0.6
0.8
1.0
1 0.8 0.6 0.4
Lig
ht
prod
uct
CH
4m
ole
frac
tion
Desorption pressure (bar)
Ads Hyst Des
PhD Thesis Shamsur Rahman 213
2. Single‐branch isotherm models will predict significantly better separation performance than
the fully hysteretic model if the pressure swing limits phigh or plow are not both clear of the
partial pressure limits or , respectively.
3. If the pressure swing limits are consistent with the partial pressure limits required for a good
separation, the performance predicted using the branch with the smallest transition width, ,
will be the more (overly) optimistic.
There are two primary reasons for these features. The most important is the need for the pressure
swing limits to be beyond the partial pressure limits set by the locations and widths of the steps on
the two branches. The parameters in the LJMY isotherm model allow these to be readily identified, so
that phigh and plow can be chosen to take advantage of the full isotherm step. For example, if only the
adsorption branch is considered in the simulation and plow is chosen so that the partial pressure is
below but not below then an overly optimistic separation performance will be
predicted. This explains the high adsorption branch result observed for plow = (1 and 0.8) bar in Figure
DS7. The converse also applies: if phigh is chosen so that the partial pressure is above but not
above , then simulations based only on the desorption branch isotherm will predict
significantly better separation performance than those based on either the fully hysteretic model or
the adsorption branch model. The simulations conducted with phigh = 1.5 bar in this work produce
results with a similar pattern to that shown in Figure DS7, except that light product methane fractions
are lower for all cases, reflecting the reduction in selectivity during the adsorption step. However,
when plow was (0.6 or 0.4) bar, the desorption branch model predicted CH4 fractions around 0.8, similar
to those shown in Figure DS7. In contrast, the fully hysteretic and adsorption branch models predicted
CH4 fractions around 0.67 because phigh was not sufficient to clear the upper partial pressure limit of
.
The second reason for the three features identified is that sharper isotherm steps produce better
separation performance. During the adsorption stage of the PVSA cycle, the partial pressure of the
PhD Thesis Shamsur Rahman 214
adsorbate varies spatially across the bed according to the gas‐phase composition profile. Narrower
steps in the adsorption isotherm will act to sharpen the gas composition front in the bed and improve
the separation performance. For ZIF‐7, so models based on the desorption branch will
always predict better performance than those based on the adsorption branch, provided the pressure
swing limits are appropriate. Imposing two different widths in the fully hysteretic model typically
results in a separation performance that is slightly worse than that predicted using the adsorption
branch model.
PhD Thesis Shamsur Rahman 215
Appendix E
E1 – Data table for experimental data presented in Figure 2.1 and Figure 2.13
Table E1. Data points extracted graphically from Couck et al. [60]
Adsorbent Gas Temperature (K) Pressure (kPa) Quantity Adsorbed (mol/kg)
amino‐MIL‐53 (Al) CO2 288 16.30 0.075
amino‐MIL‐53 (Al) CO2 288 25.29 0.620
amino‐MIL‐53 (Al) CO2 288 29.76 0.794
amino‐MIL‐53 (Al) CO2 288 34.24 0.983
amino‐MIL‐53 (Al) CO2 288 56.49 1.171
amino‐MIL‐53 (Al) CO2 288 93.54 1.383
amino‐MIL‐53 (Al) CO2 288 143.91 1.503
amino‐MIL‐53 (Al) CO2 288 188.35 1.586
amino‐MIL‐53 (Al) CO2 288 228.34 1.631
amino‐MIL‐53 (Al) CO2 288 271.29 1.691
amino‐MIL‐53 (Al) CO2 288 336.46 1.774
amino‐MIL‐53 (Al) CO2 288 360.16 1.804
amino‐MIL‐53 (Al) CO2 288 437.17 1.901
amino‐MIL‐53 (Al) CO2 288 549.73 1.983
amino‐MIL‐53 (Al) CO2 288 672.65 2.088
amino‐MIL‐53 (Al) CO2 288 708.19 2.118
amino‐MIL‐53 (Al) CO2 288 802.99 2.268
amino‐MIL‐53 (Al) CO2 288 921.52 2.645
amino‐MIL‐53 (Al) CO2 288 1007.55 3.423
amino‐MIL‐53 (Al) CO2 288 1081.72 4.178
amino‐MIL‐53 (Al) CO2 288 1250.68 5.008
amino‐MIL‐53 (Al) CO2 288 1536.61 5.761
amino‐MIL‐53 (Al) CO2 288 1831.30 5.917
amino‐MIL‐53 (Al) CO2 288 2109.70 5.982
amino‐MIL‐53 (Al) CO2 288 2386.62 6.131
amino‐MIL‐53 (Al) CO2 288 2824.98 6.421
amino‐MIL‐53 (Al) CO2 288 2646.26 6.397
amino‐MIL‐53 (Al) CO2 288 2455.87 6.350
amino‐MIL‐53 (Al) CO2 288 2220.95 6.310
amino‐MIL‐53 (Al) CO2 288 1982.96 6.263
amino‐MIL‐53 (Al) CO2 288 1731.14 6.193
amino‐MIL‐53 (Al) CO2 288 1474.71 6.106
amino‐MIL‐53 (Al) CO2 288 1216.72 5.949
amino‐MIL‐53 (Al) CO2 288 958.68 5.674
amino‐MIL‐53 (Al) CO2 288 702.19 5.430
amino‐MIL‐53 (Al) CO2 288 448.58 4.699
PhD Thesis Shamsur Rahman 216
amino‐MIL‐53 (Al) CO2 288 314.13 2.405
amino‐MIL‐53 (Al) CO2 288 186.46 1.784
amino‐MIL‐53 (Al) CO2 288 106.53 1.556
amino‐MIL‐53 (Al) CO2 288 61.94 1.367
amino‐MIL‐53 (Al) CO2 288 37.30 1.187
amino‐MIL‐53 (Al) CO2 288 18.80 0.990
amino‐MIL‐53 (Al) CO2 288 15.66 0.794
amino‐MIL‐53 (Al) CO2 288 14.06 0.629
amino‐MIL‐53 (Al) CO2 288 6.15 0.031
amino‐MIL‐53 (Al) CO2 303 14.86 0.257
amino‐MIL‐53 (Al) CO2 303 17.86 0.469
amino‐MIL‐53 (Al) CO2 303 28.26 0.680
amino‐MIL‐53 (Al) CO2 303 50.51 0.892
amino‐MIL‐53 (Al) CO2 303 90.52 1.050
amino‐MIL‐53 (Al) CO2 303 118.68 1.171
amino‐MIL‐53 (Al) CO2 303 163.13 1.314
amino‐MIL‐53 (Al) CO2 303 241.64 1.517
amino‐MIL‐53 (Al) CO2 303 317.19 1.645
amino‐MIL‐53 (Al) CO2 303 358.66 1.720
amino‐MIL‐53 (Al) CO2 303 520.10 1.900
amino‐MIL‐53 (Al) CO2 303 653.39 2.027
amino‐MIL‐53 (Al) CO2 303 896.27 2.214
amino‐MIL‐53 (Al) CO2 303 1034.00 2.334
amino‐MIL‐53 (Al) CO2 303 1085.83 2.386
amino‐MIL‐53 (Al) CO2 303 1269.52 2.785
amino‐MIL‐53 (Al) CO2 303 1325.89 3.321
amino‐MIL‐53 (Al) CO2 303 1466.69 4.038
amino‐MIL‐53 (Al) CO2 303 1683.12 5.314
amino‐MIL‐53 (Al) CO2 303 1709.78 5.374
amino‐MIL‐53 (Al) CO2 303 1980.86 5.916
amino‐MIL‐53 (Al) CO2 303 2154.14 6.111
amino‐MIL‐53 (Al) CO2 303 2254.86 6.268
amino‐MIL‐53 (Al) CO2 303 2524.40 6.462
amino‐MIL‐53 (Al) CO2 303 2582.15 6.492
amino‐MIL‐53 (Al) CO2 303 2776.15 6.596
amino‐MIL‐53 (Al) CO2 303 2909.43 6.678
amino‐MIL‐53 (Al) CO2 303 2396.34 6.395
amino‐MIL‐53 (Al) CO2 303 2221.74 6.311
amino‐MIL‐53 (Al) CO2 303 2059.88 6.234
amino‐MIL‐53 (Al) CO2 303 1860.48 6.157
amino‐MIL‐53 (Al) CO2 303 1670.59 6.034
amino‐MIL‐53 (Al) CO2 303 1478.38 5.865
amino‐MIL‐53 (Al) CO2 303 1285.65 5.681
PhD Thesis Shamsur Rahman 217
amino‐MIL‐53 (Al) CO2 303 1082.82 5.459
amino‐MIL‐53 (Al) CO2 303 896.14 5.106
amino‐MIL‐53 (Al) CO2 303 697.64 4.601
amino‐MIL‐53 (Al) CO2 303 544.25 2.996
amino‐MIL‐53 (Al) CO2 303 343.52 1.886
amino‐MIL‐53 (Al) CO2 303 192.00 1.516
amino‐MIL‐53 (Al) CO2 303 107.33 1.283
amino‐MIL‐53 (Al) CO2 303 63.59 1.073
amino‐MIL‐53 (Al) CO2 303 41.35 0.933
amino‐MIL‐53 (Al) CO2 303 29.34 0.770
amino‐MIL‐53 (Al) CO2 303 22.91 0.654
amino‐MIL‐53 (Al) CO2 303 18.97 0.577
amino‐MIL‐53 (Al) CO2 303 16.69 0.492
amino‐MIL‐53 (Al) CH4 303 69.53 0.020
amino‐MIL‐53 (Al) CH4 303 143.84 0.117
amino‐MIL‐53 (Al) CH4 303 250.65 0.220
amino‐MIL‐53 (Al) CH4 303 397.98 0.337
amino‐MIL‐53 (Al) CH4 303 529.22 0.469
amino‐MIL‐53 (Al) CH4 303 669.80 0.585
amino‐MIL‐53 (Al) CH4 303 802.17 0.693
amino‐MIL‐53 (Al) CH4 303 930.52 0.908
amino‐MIL‐53 (Al) CH4 303 1042.50 1.245
amino‐MIL‐53 (Al) CH4 303 1178.11 1.497
amino‐MIL‐53 (Al) CH4 303 1315.88 1.666
amino‐MIL‐53 (Al) CH4 303 1440.11 1.781
amino‐MIL‐53 (Al) CH4 303 1571.45 1.866
amino‐MIL‐53 (Al) CH4 303 1734.86 1.973
amino‐MIL‐53 (Al) CH4 303 1932.04 2.081
amino‐MIL‐53 (Al) CH4 303 2120.54 2.165
amino‐MIL‐53 (Al) CH4 303 2300.53 2.257
amino‐MIL‐53 (Al) CH4 303 2488.55 2.342
amino‐MIL‐53 (Al) CH4 303 2684.11 2.426
amino‐MIL‐53 (Al) CH4 303 2886.58 2.480
amino‐MIL‐53 (Al) CH4 303 2691.96 2.442
amino‐MIL‐53 (Al) CH4 303 2467.01 2.380
amino‐MIL‐53 (Al) CH4 303 2221.73 2.303
amino‐MIL‐53 (Al) CH4 303 1971.92 2.195
amino‐MIL‐53 (Al) CH4 303 1719.91 2.065
amino‐MIL‐53 (Al) CH4 303 1461.34 1.919
amino‐MIL‐53 (Al) CH4 303 1188.60 1.696
amino‐MIL‐53 (Al) CH4 303 947.07 1.168
amino‐MIL‐53 (Al) CH4 303 691.61 0.662
amino‐MIL‐53 (Al) CH4 303 419.35 0.322
PhD Thesis Shamsur Rahman 218
amino‐MIL‐53 (Al) CH4 303 217.98 0.104
amino‐MIL‐53 (Al) CH4 303 115.98 0.001
E2 – Data table for experimental data presented in Figure 2.3
Table E2. Data points extracted graphically from Mason et al. [48]
Adsorbent Gas Temperature (K) Pressure (kPa) Quantity Adsorbed (mol/kg)
Fe(bdp) CH4 248 74 0.17
Fe(bdp) CH4 248 202 0.25
Fe(bdp) CH4 248 319 0.39
Fe(bdp) CH4 248 621 0.59
Fe(bdp) CH4 248 818 0.72
Fe(bdp) CH4 248 1014 0.96
Fe(bdp) CH4 248 1147 1.38
Fe(bdp) CH4 248 1211 3.79
Fe(bdp) CH4 248 1269 7.72
Fe(bdp) CH4 248 1604 11.15
Fe(bdp) CH4 248 1843 11.74
Fe(bdp) CH4 248 1997 12.11
Fe(bdp) CH4 248 2119 12.40
Fe(bdp) CH4 248 2278 12.78
Fe(bdp) CH4 248 2512 13.34
Fe(bdp) CH4 248 2756 13.86
Fe(bdp) CH4 248 3011 14.63
Fe(bdp) CH4 248 3266 15.05
Fe(bdp) CH4 248 3521 15.34
Fe(bdp) CH4 248 3771 15.57
Fe(bdp) CH4 248 4020 15.82
Fe(bdp) CH4 248 4265 16.06
Fe(bdp) CH4 248 4504 16.26
Fe(bdp) CH4 248 4753 16.45
Fe(bdp) CH4 248 5003 16.62
Fe(bdp) CH4 248 5470 16.84
Fe(bdp) CH4 248 5964 17.11
Fe(bdp) CH4 248 6453 17.36
Fe(bdp) CH4 248 6984 17.56
Fe(bdp) CH4 248 6088 17.18
Fe(bdp) CH4 248 5102 16.63
Fe(bdp) CH4 248 4073 15.83
Fe(bdp) CH4 248 3040 14.77
Fe(bdp) CH4 248 2541 13.62
Fe(bdp) CH4 248 2038 12.45
PhD Thesis Shamsur Rahman 219
Fe(bdp) CH4 248 1784 11.81
Fe(bdp) CH4 248 1614 11.38
Fe(bdp) CH4 248 1423 10.86
Fe(bdp) CH4 248 1222 10.21
Fe(bdp) CH4 248 1021 9.51
Fe(bdp) CH4 248 925 9.11
Fe(bdp) CH4 248 867 8.82
Fe(bdp) CH4 248 825 8.52
Fe(bdp) CH4 248 783 7.85
Fe(bdp) CH4 248 741 5.98
Fe(bdp) CH4 248 688 3.26
Fe(bdp) CH4 248 615 1.55
Fe(bdp) CH4 248 562 1.05
Fe(bdp) CH4 248 525 0.88
Fe(bdp) CH4 248 413 0.58
Fe(bdp) CH4 261 64 0.18
Fe(bdp) CH4 261 202 0.25
Fe(bdp) CH4 261 345 0.27
Fe(bdp) CH4 261 637 0.39
Fe(bdp) CH4 261 823 0.49
Fe(bdp) CH4 261 1020 0.59
Fe(bdp) CH4 261 1222 0.76
Fe(bdp) CH4 261 1349 0.88
Fe(bdp) CH4 261 1466 1.25
Fe(bdp) CH4 261 1540 2.74
Fe(bdp) CH4 261 1599 5.71
Fe(bdp) CH4 261 1657 8.35
Fe(bdp) CH4 261 1779 9.78
Fe(bdp) CH4 261 1891 10.27
Fe(bdp) CH4 261 2008 10.55
Fe(bdp) CH4 261 2098 10.77
Fe(bdp) CH4 261 2278 11.14
Fe(bdp) CH4 261 2517 11.63
Fe(bdp) CH4 261 2778 12.05
Fe(bdp) CH4 261 3027 12.47
Fe(bdp) CH4 261 3272 12.89
Fe(bdp) CH4 261 3521 13.36
Fe(bdp) CH4 261 3771 13.69
Fe(bdp) CH4 261 4020 14.32
Fe(bdp) CH4 261 4270 14.55
Fe(bdp) CH4 261 4514 14.77
Fe(bdp) CH4 261 4998 15.16
Fe(bdp) CH4 261 5508 15.45
PhD Thesis Shamsur Rahman 220
Fe(bdp) CH4 261 5970 15.67
Fe(bdp) CH4 261 6442 15.84
Fe(bdp) CH4 261 6947 16.06
Fe(bdp) CH4 261 6067 15.66
Fe(bdp) CH4 261 5081 15.10
Fe(bdp) CH4 261 4069 14.33
Fe(bdp) CH4 261 3544 13.41
Fe(bdp) CH4 261 3035 12.74
Fe(bdp) CH4 261 2537 11.88
Fe(bdp) CH4 261 2017 10.83
Fe(bdp) CH4 261 1774 10.24
Fe(bdp) CH4 261 1620 9.89
Fe(bdp) CH4 261 1418 9.36
Fe(bdp) CH4 261 1217 8.77
Fe(bdp) CH4 261 1122 8.40
Fe(bdp) CH4 261 1021 7.90
Fe(bdp) CH4 261 963 7.23
Fe(bdp) CH4 261 931 6.38
Fe(bdp) CH4 261 889 4.88
Fe(bdp) CH4 261 832 2.71
Fe(bdp) CH4 261 768 1.65
Fe(bdp) CH4 261 716 1.12
Fe(bdp) CH4 261 525 0.48
Fe(bdp) CH4 273 53 0.15
Fe(bdp) CH4 273 175 0.19
Fe(bdp) CH4 273 329 0.29
Fe(bdp) CH4 273 632 0.35
Fe(bdp) CH4 273 823 0.41
Fe(bdp) CH4 273 1025 0.47
Fe(bdp) CH4 273 1216 0.54
Fe(bdp) CH4 273 1418 0.64
Fe(bdp) CH4 273 1609 0.73
Fe(bdp) CH4 273 1742 1.01
Fe(bdp) CH4 273 1832 1.97
Fe(bdp) CH4 273 1901 4.69
Fe(bdp) CH4 273 1986 7.55
Fe(bdp) CH4 273 2098 9.13
Fe(bdp) CH4 273 2209 9.78
Fe(bdp) CH4 273 2305 10.03
Fe(bdp) CH4 273 2417 10.25
Fe(bdp) CH4 273 2539 10.44
Fe(bdp) CH4 273 2714 10.74
Fe(bdp) CH4 273 2916 11.04
PhD Thesis Shamsur Rahman 221
Fe(bdp) CH4 273 3219 11.48
Fe(bdp) CH4 273 3617 12.34
Fe(bdp) CH4 273 3999 12.96
Fe(bdp) CH4 273 4509 13.53
Fe(bdp) CH4 273 4976 13.88
Fe(bdp) CH4 273 5508 14.26
Fe(bdp) CH4 273 6007 14.51
Fe(bdp) CH4 273 6490 14.81
Fe(bdp) CH4 273 6963 15.18
Fe(bdp) CH4 273 6057 14.51
Fe(bdp) CH4 273 5066 13.78
Fe(bdp) CH4 273 4064 12.98
Fe(bdp) CH4 273 3491 12.31
Fe(bdp) CH4 273 3041 11.19
Fe(bdp) CH4 273 2018 9.45
Fe(bdp) CH4 273 1769 8.89
Fe(bdp) CH4 273 1620 8.52
Fe(bdp) CH4 273 1424 8.04
Fe(bdp) CH4 273 1233 7.32
Fe(bdp) CH4 273 1117 6.20
Fe(bdp) CH4 273 1038 3.99
Fe(bdp) CH4 273 927 1.89
Fe(bdp) CH4 273 816 0.98
Fe(bdp) CH4 285 53 0.15
Fe(bdp) CH4 285 175 0.19
Fe(bdp) CH4 285 329 0.29
Fe(bdp) CH4 285 632 0.35
Fe(bdp) CH4 285 823 0.41
Fe(bdp) CH4 285 1025 0.47
Fe(bdp) CH4 285 1216 0.54
Fe(bdp) CH4 285 1418 0.64
Fe(bdp) CH4 285 1609 0.73
Fe(bdp) CH4 285 1747 0.78
Fe(bdp) CH4 285 1896 0.88
Fe(bdp) CH4 285 2018 1.02
Fe(bdp) CH4 285 2119 1.30
Fe(bdp) CH4 285 2199 2.36
Fe(bdp) CH4 285 2273 4.60
Fe(bdp) CH4 285 2353 7.10
Fe(bdp) CH4 285 2438 8.43
Fe(bdp) CH4 285 2533 9.01
Fe(bdp) CH4 285 2624 9.40
Fe(bdp) CH4 285 2725 9.72
PhD Thesis Shamsur Rahman 222
Fe(bdp) CH4 285 2836 9.99
Fe(bdp) CH4 285 2942 10.14
Fe(bdp) CH4 285 3038 10.27
Fe(bdp) CH4 285 3219 10.57
Fe(bdp) CH4 285 3415 10.81
Fe(bdp) CH4 285 3617 11.05
Fe(bdp) CH4 285 3813 11.31
Fe(bdp) CH4 285 4015 11.95
Fe(bdp) CH4 285 4281 12.34
Fe(bdp) CH4 285 4514 12.61
Fe(bdp) CH4 285 4775 12.86
Fe(bdp) CH4 285 5014 13.10
Fe(bdp) CH4 285 5502 13.42
Fe(bdp) CH4 285 5980 13.77
Fe(bdp) CH4 285 6464 14.14
Fe(bdp) CH4 285 7011 14.50
Fe(bdp) CH4 285 6063 13.74
Fe(bdp) CH4 285 5071 12.96
Fe(bdp) CH4 285 4069 12.06
Fe(bdp) CH4 285 3523 10.99
Fe(bdp) CH4 285 2527 9.49
Fe(bdp) CH4 285 2029 8.55
Fe(bdp) CH4 285 1801 8.05
Fe(bdp) CH4 285 1419 6.87
Fe(bdp) CH4 285 1324 6.05
Fe(bdp) CH4 285 1229 4.36
Fe(bdp) CH4 285 1134 2.45
Fe(bdp) CH4 285 1018 1.40
Fe(bdp) CH4 285 917 0.92
Fe(bdp) CH4 298 53 0.15
Fe(bdp) CH4 298 175 0.19
Fe(bdp) CH4 298 292 0.20
Fe(bdp) CH4 298 409 0.24
Fe(bdp) CH4 298 611 0.29
Fe(bdp) CH4 298 829 0.26
Fe(bdp) CH4 298 1025 0.31
Fe(bdp) CH4 298 1222 0.31
Fe(bdp) CH4 298 1423 0.34
Fe(bdp) CH4 298 1625 0.36
Fe(bdp) CH4 298 1832 0.53
Fe(bdp) CH4 298 2013 0.61
Fe(bdp) CH4 298 2167 0.71
Fe(bdp) CH4 298 2273 0.83
PhD Thesis Shamsur Rahman 223
Fe(bdp) CH4 298 2379 0.98
Fe(bdp) CH4 298 2459 1.24
Fe(bdp) CH4 298 2533 2.02
Fe(bdp) CH4 298 2597 3.57
Fe(bdp) CH4 298 2666 5.46
Fe(bdp) CH4 298 2762 7.22
Fe(bdp) CH4 298 2852 8.08
Fe(bdp) CH4 298 2958 8.61
Fe(bdp) CH4 298 3054 8.95
Fe(bdp) CH4 298 3171 9.23
Fe(bdp) CH4 298 3282 9.43
Fe(bdp) CH4 298 3383 9.67
Fe(bdp) CH4 298 3505 9.87
Fe(bdp) CH4 298 3622 10.04
Fe(bdp) CH4 298 3750 10.22
Fe(bdp) CH4 298 3877 10.39
Fe(bdp) CH4 298 4026 10.53
Fe(bdp) CH4 298 4275 10.83
Fe(bdp) CH4 298 4509 11.55
Fe(bdp) CH4 298 4769 11.75
Fe(bdp) CH4 298 5008 11.97
Fe(bdp) CH4 298 5513 12.28
Fe(bdp) CH4 298 5964 12.58
Fe(bdp) CH4 298 6517 12.94
Fe(bdp) CH4 298 7016 13.31
Fe(bdp) CH4 298 6047 12.52
Fe(bdp) CH4 298 5050 11.80
Fe(bdp) CH4 298 4064 10.57
Fe(bdp) CH4 298 3036 9.15
Fe(bdp) CH4 298 2516 8.38
Fe(bdp) CH4 298 2029 7.47
Fe(bdp) CH4 298 1801 6.90
Fe(bdp) CH4 298 1626 6.16
Fe(bdp) CH4 298 1447 3.86
Fe(bdp) CH4 298 1346 2.50
Fe(bdp) CH4 298 1230 1.45
Fe(bdp) CH4 311 53 0.15
Fe(bdp) CH4 311 175 0.19
Fe(bdp) CH4 311 292 0.20
Fe(bdp) CH4 311 409 0.24
Fe(bdp) CH4 311 611 0.29
Fe(bdp) CH4 311 829 0.26
Fe(bdp) CH4 311 1025 0.31
PhD Thesis Shamsur Rahman 224
Fe(bdp) CH4 311 1222 0.31
Fe(bdp) CH4 311 1423 0.34
Fe(bdp) CH4 311 1625 0.36
Fe(bdp) CH4 311 1822 0.38
Fe(bdp) CH4 311 2024 0.40
Fe(bdp) CH4 311 2172 0.53
Fe(bdp) CH4 311 2300 0.55
Fe(bdp) CH4 311 2448 0.62
Fe(bdp) CH4 311 2581 0.68
Fe(bdp) CH4 311 2698 0.78
Fe(bdp) CH4 311 2820 1.10
Fe(bdp) CH4 311 2910 1.82
Fe(bdp) CH4 311 2995 3.38
Fe(bdp) CH4 311 3086 5.11
Fe(bdp) CH4 311 3176 6.53
Fe(bdp) CH4 311 3282 7.39
Fe(bdp) CH4 311 3378 7.96
Fe(bdp) CH4 311 3458 8.30
Fe(bdp) CH4 311 3564 8.61
Fe(bdp) CH4 311 3659 8.85
Fe(bdp) CH4 311 3760 9.03
Fe(bdp) CH4 311 3861 9.24
Fe(bdp) CH4 311 3941 9.42
Fe(bdp) CH4 311 4031 9.54
Fe(bdp) CH4 311 4281 9.94
Fe(bdp) CH4 311 4520 10.25
Fe(bdp) CH4 311 4780 10.56
Fe(bdp) CH4 311 5035 11.20
Fe(bdp) CH4 311 5508 11.64
Fe(bdp) CH4 311 6023 11.98
Fe(bdp) CH4 311 6458 12.25
Fe(bdp) CH4 311 7011 12.52
Fe(bdp) CH4 311 6047 11.89
Fe(bdp) CH4 311 5056 11.12
Fe(bdp) CH4 311 4065 9.82
Fe(bdp) CH4 311 3529 9.05
Fe(bdp) CH4 311 3020 8.37
Fe(bdp) CH4 311 2527 7.51
Fe(bdp) CH4 311 2024 6.58
Fe(bdp) CH4 311 1807 5.74
Fe(bdp) CH4 311 1643 4.21
Fe(bdp) CH4 311 1436 2.15
Fe(bdp) CH4 311 1325 1.55
PhD Thesis Shamsur Rahman 225
Fe(bdp) CH4 311 1219 1.15
Fe(bdp) CH4 311 514 0.35
Fe(bdp) CH4 323 53 0.15
Fe(bdp) CH4 323 175 0.19
Fe(bdp) CH4 323 292 0.20
Fe(bdp) CH4 323 409 0.24
Fe(bdp) CH4 323 611 0.29
Fe(bdp) CH4 323 829 0.26
Fe(bdp) CH4 323 1025 0.31
Fe(bdp) CH4 323 1222 0.31
Fe(bdp) CH4 323 1423 0.34
Fe(bdp) CH4 323 1625 0.36
Fe(bdp) CH4 323 1822 0.38
Fe(bdp) CH4 323 2024 0.40
Fe(bdp) CH4 323 2231 0.43
Fe(bdp) CH4 323 2432 0.46
Fe(bdp) CH4 323 2618 0.52
Fe(bdp) CH4 323 2825 0.60
Fe(bdp) CH4 323 3017 0.77
Fe(bdp) CH4 323 3149 1.10
Fe(bdp) CH4 323 3250 1.96
Fe(bdp) CH4 323 3341 3.25
Fe(bdp) CH4 323 3431 4.66
Fe(bdp) CH4 323 3521 5.93
Fe(bdp) CH4 323 3606 6.74
Fe(bdp) CH4 323 3697 7.26
Fe(bdp) CH4 323 3792 7.64
Fe(bdp) CH4 323 3882 7.95
Fe(bdp) CH4 323 3978 8.18
Fe(bdp) CH4 323 4052 8.33
Fe(bdp) CH4 323 4153 8.57
Fe(bdp) CH4 323 4244 8.75
Fe(bdp) CH4 323 4329 8.94
Fe(bdp) CH4 323 4440 9.14
Fe(bdp) CH4 323 4525 9.24
Fe(bdp) CH4 323 4775 9.51
Fe(bdp) CH4 323 5030 9.76
Fe(bdp) CH4 323 5470 10.08
Fe(bdp) CH4 323 5970 10.35
Fe(bdp) CH4 323 6464 10.52
Fe(bdp) CH4 323 6979 10.71
Fe(bdp) CH4 323 6037 10.18
Fe(bdp) CH4 323 5051 9.48
PhD Thesis Shamsur Rahman 226
Fe(bdp) CH4 323 4049 8.53
Fe(bdp) CH4 323 3530 7.90
Fe(bdp) CH4 323 3021 7.08
Fe(bdp) CH4 323 2522 6.26
Fe(bdp) CH4 323 2035 5.13
Fe(bdp) CH4 323 1823 3.77
Fe(bdp) CH4 323 1638 2.27
Fe(bdp) CH4 323 504 0.02
E3 – Data table for experimental data presented in Figure 2.8
Table E3. Data points extracted graphically from Mason et al. [48]
Adsorbent Gas Temperature (K) Pressure (kPa) Quantity Adsorbed (mol/kg)
Co(bdp) CH4 273 79 0.13
Co(bdp) CH4 273 214 0.18
Co(bdp) CH4 273 355 0.21
Co(bdp) CH4 273 512 0.26
Co(bdp) CH4 273 670 0.34
Co(bdp) CH4 273 827 0.40
Co(bdp) CH4 273 979 0.51
Co(bdp) CH4 273 1086 0.66
Co(bdp) CH4 273 1154 1.12
Co(bdp) CH4 273 1216 2.18
Co(bdp) CH4 273 1279 3.61
Co(bdp) CH4 273 1347 5.54
Co(bdp) CH4 273 1545 7.29
Co(bdp) CH4 273 1709 7.90
Co(bdp) CH4 273 1850 8.24
Co(bdp) CH4 273 1962 8.43
Co(bdp) CH4 273 2052 8.63
Co(bdp) CH4 273 2216 8.86
Co(bdp) CH4 273 2452 9.20
Co(bdp) CH4 273 2762 9.61
Co(bdp) CH4 273 3009 9.90
Co(bdp) CH4 273 3511 10.41
Co(bdp) CH4 273 3995 10.91
Co(bdp) CH4 273 4496 11.34
Co(bdp) CH4 273 4991 11.72
Co(bdp) CH4 273 5492 12.06
Co(bdp) CH4 273 5993 12.37
Co(bdp) CH4 273 6488 12.66
Co(bdp) CH4 273 6972 12.89
PhD Thesis Shamsur Rahman 227
Co(bdp) CH4 273 6073 12.42
Co(bdp) CH4 273 5083 11.78
Co(bdp) CH4 273 4087 10.96
Co(bdp) CH4 273 3524 10.46
Co(bdp) CH4 273 2522 9.31
Co(bdp) CH4 273 1756 8.15
Co(bdp) CH4 273 1514 7.58
Co(bdp) CH4 273 1272 6.99
Co(bdp) CH4 273 1018 6.21
Co(bdp) CH4 273 882 5.72
Co(bdp) CH4 273 803 5.42
Co(bdp) CH4 273 753 5.19
Co(bdp) CH4 273 719 4.98
Co(bdp) CH4 273 690 4.74
Co(bdp) CH4 273 662 4.34
Co(bdp) CH4 273 621 3.22
Co(bdp) CH4 273 569 1.73
Co(bdp) CH4 273 512 0.72
Co(bdp) CH4 273 383 0.24
Co(bdp) CH4 285 101 0.12
Co(bdp) CH4 285 225 0.16
Co(bdp) CH4 285 349 0.20
Co(bdp) CH4 285 518 0.27
Co(bdp) CH4 285 653 0.34
Co(bdp) CH4 285 811 0.43
Co(bdp) CH4 285 957 0.48
Co(bdp) CH4 285 1120 0.55
Co(bdp) CH4 285 1278 0.65
Co(bdp) CH4 285 1357 0.94
Co(bdp) CH4 285 1424 1.73
Co(bdp) CH4 285 1481 2.96
Co(bdp) CH4 285 1555 4.35
Co(bdp) CH4 285 1680 6.02
Co(bdp) CH4 285 1815 6.78
Co(bdp) CH4 285 1928 7.20
Co(bdp) CH4 285 2035 7.47
Co(bdp) CH4 285 2221 7.93
Co(bdp) CH4 285 2407 8.26
Co(bdp) CH4 285 2609 8.54
Co(bdp) CH4 285 2818 8.81
Co(bdp) CH4 285 3009 9.03
Co(bdp) CH4 285 3257 9.33
Co(bdp) CH4 285 3521 9.58
PhD Thesis Shamsur Rahman 228
Co(bdp) CH4 285 4000 10.05
Co(bdp) CH4 285 4501 10.45
Co(bdp) CH4 285 4996 10.84
Co(bdp) CH4 285 5492 11.23
Co(bdp) CH4 285 5993 11.57
Co(bdp) CH4 285 6494 11.84
Co(bdp) CH4 285 6983 12.16
Co(bdp) CH4 285 6049 11.52
Co(bdp) CH4 285 5070 10.85
Co(bdp) CH4 285 4063 10.04
Co(bdp) CH4 285 2532 8.40
Co(bdp) CH4 285 2031 7.64
Co(bdp) CH4 285 1778 7.17
Co(bdp) CH4 285 1513 6.61
Co(bdp) CH4 285 1321 6.13
Co(bdp) CH4 285 1169 5.71
Co(bdp) CH4 285 1028 5.26
Co(bdp) CH4 285 949 5.00
Co(bdp) CH4 285 898 4.79
Co(bdp) CH4 285 848 4.61
Co(bdp) CH4 285 819 4.39
Co(bdp) CH4 285 763 3.99
Co(bdp) CH4 285 723 3.09
Co(bdp) CH4 285 625 1.08
Co(bdp) CH4 285 405 0.26
Co(bdp) CH4 298 68 0.12
Co(bdp) CH4 298 180 0.13
Co(bdp) CH4 298 321 0.14
Co(bdp) CH4 298 613 0.18
Co(bdp) CH4 298 827 0.25
Co(bdp) CH4 298 940 0.29
Co(bdp) CH4 298 1131 0.32
Co(bdp) CH4 298 1300 0.35
Co(bdp) CH4 298 1452 0.43
Co(bdp) CH4 298 1542 0.58
Co(bdp) CH4 298 1593 0.77
Co(bdp) CH4 298 1661 1.41
Co(bdp) CH4 298 1734 2.51
Co(bdp) CH4 298 1819 3.73
Co(bdp) CH4 298 1899 4.78
Co(bdp) CH4 298 1989 5.50
Co(bdp) CH4 298 2079 5.97
Co(bdp) CH4 298 2164 6.28
PhD Thesis Shamsur Rahman 229
Co(bdp) CH4 298 2248 6.54
Co(bdp) CH4 298 2327 6.75
Co(bdp) CH4 298 2423 7.01
Co(bdp) CH4 298 2524 7.21
Co(bdp) CH4 298 2654 7.51
Co(bdp) CH4 298 2812 7.76
Co(bdp) CH4 298 3020 8.11
Co(bdp) CH4 298 3262 8.41
Co(bdp) CH4 298 3515 8.71
Co(bdp) CH4 298 3999 9.14
Co(bdp) CH4 298 4506 9.54
Co(bdp) CH4 298 4996 9.92
Co(bdp) CH4 298 5502 10.28
Co(bdp) CH4 298 5998 10.62
Co(bdp) CH4 298 6493 10.92
Co(bdp) CH4 298 6994 11.22
Co(bdp) CH4 298 6054 10.65
Co(bdp) CH4 298 5058 10.00
Co(bdp) CH4 298 4062 9.23
Co(bdp) CH4 298 3528 8.70
Co(bdp) CH4 298 3027 8.17
Co(bdp) CH4 298 2526 7.54
Co(bdp) CH4 298 2030 6.73
Co(bdp) CH4 298 1766 6.25
Co(bdp) CH4 298 1512 5.71
Co(bdp) CH4 298 1270 5.11
Co(bdp) CH4 298 1112 4.67
Co(bdp) CH4 298 1016 4.38
Co(bdp) CH4 298 954 4.14
Co(bdp) CH4 298 920 3.95
Co(bdp) CH4 298 864 3.67
Co(bdp) CH4 298 818 3.24
Co(bdp) CH4 298 773 2.57
Co(bdp) CH4 298 715 1.51
Co(bdp) CH4 298 613 0.54
Co(bdp) CH4 311 90 0.08
Co(bdp) CH4 311 214 0.08
Co(bdp) CH4 311 338 0.10
Co(bdp) CH4 311 608 0.14
Co(bdp) CH4 311 822 0.21
Co(bdp) CH4 311 1013 0.22
Co(bdp) CH4 311 1204 0.29
Co(bdp) CH4 311 1407 0.30
PhD Thesis Shamsur Rahman 230
Co(bdp) CH4 311 1525 0.39
Co(bdp) CH4 311 1666 0.45
Co(bdp) CH4 311 1795 0.73
Co(bdp) CH4 311 1858 1.24
Co(bdp) CH4 311 1931 2.04
Co(bdp) CH4 311 2005 2.92
Co(bdp) CH4 311 2089 3.80
Co(bdp) CH4 311 2169 4.56
Co(bdp) CH4 311 2264 5.18
Co(bdp) CH4 311 2360 5.59
Co(bdp) CH4 311 2462 5.92
Co(bdp) CH4 311 2558 6.18
Co(bdp) CH4 311 2653 6.39
Co(bdp) CH4 311 2755 6.59
Co(bdp) CH4 311 2834 6.76
Co(bdp) CH4 311 3014 7.14
Co(bdp) CH4 311 3267 7.53
Co(bdp) CH4 311 3515 7.87
Co(bdp) CH4 311 4005 8.39
Co(bdp) CH4 311 4500 8.82
Co(bdp) CH4 311 5001 9.19
Co(bdp) CH4 311 5491 9.56
Co(bdp) CH4 311 6003 9.87
Co(bdp) CH4 311 6498 10.16
Co(bdp) CH4 311 6994 10.41
Co(bdp) CH4 311 6048 9.86
Co(bdp) CH4 311 5046 9.19
Co(bdp) CH4 311 4039 8.35
Co(bdp) CH4 311 3026 7.24
Co(bdp) CH4 311 2525 6.57
Co(bdp) CH4 311 2030 5.80
Co(bdp) CH4 311 1770 5.31
Co(bdp) CH4 311 1517 4.79
Co(bdp) CH4 311 1320 4.35
Co(bdp) CH4 311 1168 3.96
Co(bdp) CH4 311 1077 3.71
Co(bdp) CH4 311 1021 3.49
Co(bdp) CH4 311 953 3.29
Co(bdp) CH4 311 919 3.09
Co(bdp) CH4 311 863 2.76
Co(bdp) CH4 311 823 2.25
Co(bdp) CH4 311 732 0.98
Co(bdp) CH4 323 73 0.08
PhD Thesis Shamsur Rahman 231
Co(bdp) CH4 323 191 0.13
Co(bdp) CH4 323 338 0.18
Co(bdp) CH4 323 597 0.18
Co(bdp) CH4 323 799 0.18
Co(bdp) CH4 323 1013 0.24
Co(bdp) CH4 323 1199 0.30
Co(bdp) CH4 323 1413 0.32
Co(bdp) CH4 323 1621 0.34
Co(bdp) CH4 323 1767 0.41
Co(bdp) CH4 323 1874 0.47
Co(bdp) CH4 323 1959 0.69
Co(bdp) CH4 323 2032 1.17
Co(bdp) CH4 323 2111 1.81
Co(bdp) CH4 323 2184 2.52
Co(bdp) CH4 323 2269 3.38
Co(bdp) CH4 323 2371 4.18
Co(bdp) CH4 323 2456 4.73
Co(bdp) CH4 323 2563 5.08
Co(bdp) CH4 323 2653 5.41
Co(bdp) CH4 323 2743 5.66
Co(bdp) CH4 323 2839 5.83
Co(bdp) CH4 323 3013 6.27
Co(bdp) CH4 323 3272 6.71
Co(bdp) CH4 323 3526 7.13
Co(bdp) CH4 323 4016 7.67
Co(bdp) CH4 323 4505 8.14
Co(bdp) CH4 323 5001 8.51
Co(bdp) CH4 323 5496 8.88
Co(bdp) CH4 323 6003 9.18
Co(bdp) CH4 323 6498 9.45
Co(bdp) CH4 323 6999 9.71
Co(bdp) CH4 323 6036 9.17
Co(bdp) CH4 323 5046 8.52
Co(bdp) CH4 323 4050 7.68
Co(bdp) CH4 323 3020 6.57
Co(bdp) CH4 323 2519 5.89
Co(bdp) CH4 323 2018 5.09
Co(bdp) CH4 323 1764 4.65
Co(bdp) CH4 323 1511 4.13
Co(bdp) CH4 323 1330 3.74
Co(bdp) CH4 323 1167 3.41
Co(bdp) CH4 323 1066 3.10
Co(bdp) CH4 323 1015 2.96
PhD Thesis Shamsur Rahman 232
Co(bdp) CH4 323 964 2.75
Co(bdp) CH4 323 919 2.50
Co(bdp) CH4 323 874 2.22
Co(bdp) CH4 323 823 1.81
Co(bdp) CH4 323 715 0.92
E4 – Data table for experimental data presented in Figure 2.9 and Figure 2.10
Table E4. Data table for experimental data presented in Figure 2.9 and Figure 2.10
Adsorbent Gas Temperature (K) Pressure (kPa) Quantity Adsorbed (mol/kg)
ZIF‐7 CO2 233 0.09 0.020
ZIF‐7 CO2 233 0.46 0.084
ZIF‐7 CO2 233 1.13 0.147
ZIF‐7 CO2 233 1.87 0.333
ZIF‐7 CO2 233 3.96 1.646
ZIF‐7 CO2 233 26.09 1.879
ZIF‐7 CO2 233 19.21 1.868
ZIF‐7 CO2 233 9.54 1.808
ZIF‐7 CO2 233 5.12 1.735
ZIF‐7 CO2 233 3.87 1.696
ZIF‐7 CO2 233 3.12 1.663
ZIF‐7 CO2 233 1.91 1.573
ZIF‐7 CO2 233 1.04 0.591
ZIF‐7 CO2 233 0.49 0.445
ZIF‐7 CO2 238 0.10 0.017
ZIF‐7 CO2 238 0.48 0.064
ZIF‐7 CO2 238 1.03 0.098
ZIF‐7 CO2 238 2.00 0.178
ZIF‐7 CO2 238 3.00 0.729
ZIF‐7 CO2 238 4.30 1.551
ZIF‐7 CO2 238 16.12 1.812
ZIF‐7 CO2 238 20.96 1.838
ZIF‐7 CO2 238 30.62 1.872
ZIF‐7 CO2 238 39.76 1.893
ZIF‐7 CO2 238 28.92 1.869
ZIF‐7 CO2 238 19.34 1.835
ZIF‐7 CO2 238 9.87 1.767
ZIF‐7 CO2 238 5.18 1.679
ZIF‐7 CO2 238 3.99 1.637
ZIF‐7 CO2 238 3.10 1.592
ZIF‐7 CO2 238 2.08 1.463
ZIF‐7 CO2 238 1.02 0.457
PhD Thesis Shamsur Rahman 233
ZIF‐7 CO2 238 0.51 0.390
ZIF‐7 CO2 244 0.56 0.055
ZIF‐7 CO2 244 1.23 0.163
ZIF‐7 CO2 244 3.32 0.483
ZIF‐7 CO2 244 5.30 1.356
ZIF‐7 CO2 244 39.25 1.853
ZIF‐7 CO2 244 42.61 1.862
ZIF‐7 CO2 244 44.75 1.867
ZIF‐7 CO2 244 44.95 1.868
ZIF‐7 CO2 244 40.80 1.859
ZIF‐7 CO2 244 38.21 1.853
ZIF‐7 CO2 244 35.72 1.847
ZIF‐7 CO2 244 34.97 1.845
ZIF‐7 CO2 244 32.53 1.839
ZIF‐7 CO2 244 29.97 1.831
ZIF‐7 CO2 244 27.49 1.822
ZIF‐7 CO2 244 25.01 1.812
ZIF‐7 CO2 244 22.49 1.800
ZIF‐7 CO2 244 20.02 1.787
ZIF‐7 CO2 244 17.51 1.771
ZIF‐7 CO2 244 15.05 1.752
ZIF‐7 CO2 244 12.10 1.722
ZIF‐7 CO2 244 9.14 1.679
ZIF‐7 CO2 244 6.89 1.632
ZIF‐7 CO2 244 4.80 1.564
ZIF‐7 CO2 244 3.92 1.484
ZIF‐7 CO2 244 2.79 1.134
ZIF‐7 CO2 247 4.97 0.454
ZIF‐7 CO2 247 10.82 1.519
ZIF‐7 CO2 247 24.38 1.750
ZIF‐7 CO2 247 27.34 1.766
ZIF‐7 CO2 247 30.38 1.780
ZIF‐7 CO2 247 31.88 1.787
ZIF‐7 CO2 247 35.13 1.800
ZIF‐7 CO2 247 38.00 1.809
ZIF‐7 CO2 247 40.93 1.818
ZIF‐7 CO2 247 44.04 1.827
ZIF‐7 CO2 247 46.95 1.834
ZIF‐7 CO2 247 50.01 1.841
ZIF‐7 CO2 247 53.06 1.847
ZIF‐7 CO2 247 56.07 1.853
ZIF‐7 CO2 247 60.04 1.861
ZIF‐7 CO2 247 65.08 1.869
PhD Thesis Shamsur Rahman 234
ZIF‐7 CO2 247 69.97 1.876
ZIF‐7 CO2 247 75.05 1.883
ZIF‐7 CO2 247 80.02 1.890
ZIF‐7 CO2 247 85.04 1.896
ZIF‐7 CO2 247 90.00 1.902
ZIF‐7 CO2 247 95.05 1.908
ZIF‐7 CO2 247 100.04 1.913
ZIF‐7 CO2 247 93.24 1.908
ZIF‐7 CO2 247 88.23 1.904
ZIF‐7 CO2 247 83.23 1.899
ZIF‐7 CO2 247 80.03 1.896
ZIF‐7 CO2 247 75.07 1.890
ZIF‐7 CO2 247 70.08 1.884
ZIF‐7 CO2 247 65.11 1.878
ZIF‐7 CO2 247 59.96 1.871
ZIF‐7 CO2 247 55.97 1.865
ZIF‐7 CO2 247 52.93 1.860
ZIF‐7 CO2 247 50.10 1.855
ZIF‐7 CO2 247 47.13 1.849
ZIF‐7 CO2 247 43.96 1.842
ZIF‐7 CO2 247 40.96 1.835
ZIF‐7 CO2 247 37.97 1.828
ZIF‐7 CO2 247 34.98 1.819
ZIF‐7 CO2 247 31.95 1.810
ZIF‐7 CO2 247 29.01 1.800
ZIF‐7 CO2 247 26.01 1.787
ZIF‐7 CO2 247 23.01 1.773
ZIF‐7 CO2 247 20.02 1.756
ZIF‐7 CO2 247 17.06 1.735
ZIF‐7 CO2 247 14.04 1.709
ZIF‐7 CO2 247 11.09 1.674
ZIF‐7 CO2 247 8.18 1.625
ZIF‐7 CO2 247 4.77 1.524
ZIF‐7 CO2 253 4.82 0.378
ZIF‐7 CO2 253 14.43 1.639
ZIF‐7 CO2 253 44.29 1.805
ZIF‐7 CO2 253 48.60 1.817
ZIF‐7 CO2 253 51.65 1.824
ZIF‐7 CO2 253 53.01 1.828
ZIF‐7 CO2 253 56.13 1.834
ZIF‐7 CO2 253 60.06 1.841
ZIF‐7 CO2 253 65.00 1.850
ZIF‐7 CO2 253 70.05 1.858
PhD Thesis Shamsur Rahman 235
ZIF‐7 CO2 253 75.05 1.865
ZIF‐7 CO2 253 80.07 1.872
ZIF‐7 CO2 253 85.05 1.878
ZIF‐7 CO2 253 90.03 1.884
ZIF‐7 CO2 253 95.05 1.889
ZIF‐7 CO2 253 100.03 1.895
ZIF‐7 CO2 253 93.26 1.889
ZIF‐7 CO2 253 88.28 1.884
ZIF‐7 CO2 253 83.27 1.879
ZIF‐7 CO2 253 80.03 1.876
ZIF‐7 CO2 253 75.07 1.870
ZIF‐7 CO2 253 69.95 1.863
ZIF‐7 CO2 253 65.05 1.856
ZIF‐7 CO2 253 60.12 1.848
ZIF‐7 CO2 253 55.95 1.841
ZIF‐7 CO2 253 52.94 1.835
ZIF‐7 CO2 253 49.97 1.829
ZIF‐7 CO2 253 46.96 1.822
ZIF‐7 CO2 253 43.97 1.815
ZIF‐7 CO2 253 40.95 1.807
ZIF‐7 CO2 253 37.98 1.798
ZIF‐7 CO2 253 34.95 1.789
ZIF‐7 CO2 253 32.01 1.778
ZIF‐7 CO2 253 28.99 1.765
ZIF‐7 CO2 253 26.03 1.751
ZIF‐7 CO2 253 23.01 1.734
ZIF‐7 CO2 253 20.01 1.714
ZIF‐7 CO2 253 17.05 1.690
ZIF‐7 CO2 253 14.06 1.658
ZIF‐7 CO2 253 11.11 1.618
ZIF‐7 CO2 253 8.21 1.560
ZIF‐7 CO2 253 5.23 1.273
ZIF‐7 CO2 253 2.58 0.323
ZIF‐7 CO2 253 1.28 0.222
ZIF‐7 CO2 273 2.62 0.067
ZIF‐7 CO2 273 7.22 0.217
ZIF‐7 CO2 273 13.79 0.345
ZIF‐7 CO2 273 15.43 0.383
ZIF‐7 CO2 273 19.72 0.604
ZIF‐7 CO2 273 24.83 1.121
ZIF‐7 CO2 273 43.80 1.561
ZIF‐7 CO2 273 46.42 1.574
ZIF‐7 CO2 273 51.19 1.593
PhD Thesis Shamsur Rahman 236
ZIF‐7 CO2 273 54.96 1.606
ZIF‐7 CO2 273 60.00 1.622
ZIF‐7 CO2 273 65.04 1.636
ZIF‐7 CO2 273 70.07 1.648
ZIF‐7 CO2 273 75.04 1.659
ZIF‐7 CO2 273 80.05 1.669
ZIF‐7 CO2 273 85.04 1.679
ZIF‐7 CO2 273 90.05 1.687
ZIF‐7 CO2 273 95.03 1.696
ZIF‐7 CO2 273 100.01 1.703
ZIF‐7 CO2 273 93.42 1.695
ZIF‐7 CO2 273 88.33 1.688
ZIF‐7 CO2 273 83.37 1.680
ZIF‐7 CO2 273 79.94 1.674
ZIF‐7 CO2 273 75.12 1.665
ZIF‐7 CO2 273 70.05 1.655
ZIF‐7 CO2 273 65.14 1.643
ZIF‐7 CO2 273 60.01 1.630
ZIF‐7 CO2 273 55.16 1.617
ZIF‐7 CO2 273 49.98 1.601
ZIF‐7 CO2 273 44.97 1.583
ZIF‐7 CO2 273 39.99 1.562
ZIF‐7 CO2 273 35.00 1.537
ZIF‐7 CO2 273 30.05 1.508
ZIF‐7 CO2 273 25.07 1.472
ZIF‐7 CO2 273 20.21 1.423
ZIF‐7 CO2 273 14.81 1.153
ZIF‐7 CO2 273 9.72 0.363
ZIF‐7 CO2 273 4.00 0.208
ZIF‐7 CO2 273 2.58 0.163
ZIF‐7 CO2 273 0.92 0.105
ZIF‐7 CO2 283 4.89 0.119
ZIF‐7 CO2 283 8.59 0.173
ZIF‐7 CO2 283 11.26 0.206
ZIF‐7 CO2 283 13.82 0.239
ZIF‐7 CO2 283 16.98 0.282
ZIF‐7 CO2 283 19.87 0.328
ZIF‐7 CO2 283 22.85 0.386
ZIF‐7 CO2 283 25.60 0.470
ZIF‐7 CO2 283 29.11 0.699
ZIF‐7 CO2 283 32.38 0.999
ZIF‐7 CO2 283 38.55 1.243
ZIF‐7 CO2 283 40.83 1.296
PhD Thesis Shamsur Rahman 237
ZIF‐7 CO2 283 44.60 1.373
ZIF‐7 CO2 283 46.93 1.410
ZIF‐7 CO2 283 50.02 1.447
ZIF‐7 CO2 283 53.03 1.471
ZIF‐7 CO2 283 55.99 1.488
ZIF‐7 CO2 283 59.99 1.504
ZIF‐7 CO2 283 80.03 1.558
ZIF‐7 CO2 283 99.52 1.595
ZIF‐7 CO2 283 79.64 1.559
ZIF‐7 CO2 283 60.04 1.508
ZIF‐7 CO2 283 54.70 1.491
ZIF‐7 CO2 283 52.83 1.484
ZIF‐7 CO2 283 50.11 1.474
ZIF‐7 CO2 283 46.96 1.461
ZIF‐7 CO2 283 43.97 1.448
ZIF‐7 CO2 283 40.97 1.434
ZIF‐7 CO2 283 37.98 1.418
ZIF‐7 CO2 283 34.99 1.401
ZIF‐7 CO2 283 32.01 1.381
ZIF‐7 CO2 283 29.03 1.358
ZIF‐7 CO2 283 26.13 1.326
ZIF‐7 CO2 283 22.67 1.228
ZIF‐7 CO2 283 19.51 0.940
ZIF‐7 CO2 283 17.40 0.535
ZIF‐7 CO2 283 14.58 0.351
ZIF‐7 CO2 283 11.03 0.258
ZIF‐7 CO2 283 7.86 0.195
ZIF‐7 CO2 283 4.87 0.137
ZIF‐7 CO2 293 5.08 0.113
ZIF‐7 CO2 293 7.85 0.145
ZIF‐7 CO2 293 11.80 0.182
ZIF‐7 CO2 293 13.78 0.199
ZIF‐7 CO2 293 16.96 0.225
ZIF‐7 CO2 293 19.96 0.249
ZIF‐7 CO2 293 22.93 0.274
ZIF‐7 CO2 293 25.96 0.300
ZIF‐7 CO2 293 28.94 0.329
ZIF‐7 CO2 293 31.97 0.361
ZIF‐7 CO2 293 34.95 0.396
ZIF‐7 CO2 293 37.90 0.438
ZIF‐7 CO2 293 40.89 0.493
ZIF‐7 CO2 293 43.80 0.568
ZIF‐7 CO2 293 46.58 0.689
PhD Thesis Shamsur Rahman 238
ZIF‐7 CO2 293 49.77 0.876
ZIF‐7 CO2 293 54.35 1.084
ZIF‐7 CO2 293 56.54 1.151
ZIF‐7 CO2 293 59.39 1.223
ZIF‐7 CO2 293 82.69 1.519
ZIF‐7 CO2 293 99.40 1.582
ZIF‐7 CO2 293 79.81 1.540
ZIF‐7 CO2 293 60.47 1.480
ZIF‐7 CO2 293 54.91 1.456
ZIF‐7 CO2 293 52.79 1.446
ZIF‐7 CO2 293 50.01 1.430
ZIF‐7 CO2 293 47.03 1.409
ZIF‐7 CO2 293 44.08 1.379
ZIF‐7 CO2 293 41.07 1.337
ZIF‐7 CO2 293 38.15 1.279
ZIF‐7 CO2 293 35.32 1.189
ZIF‐7 CO2 293 32.59 1.039
ZIF‐7 CO2 293 28.61 0.675
ZIF‐7 CO2 293 23.25 0.387
ZIF‐7 CO2 293 21.97 0.364
ZIF‐7 CO2 293 19.69 0.324
ZIF‐7 CO2 293 16.91 0.279
ZIF‐7 CO2 293 14.00 0.238
ZIF‐7 CO2 293 11.03 0.201
ZIF‐7 CO2 293 8.12 0.166
ZIF‐7 CO2 293 5.15 0.126
E5 – Data table for experimental data presented in Figure 2.11
Table E5. Data points extracted graphically from McDonald et al. [64]
Adsorbent Gas Temperature (K) Pressure (kPa) Quantity Adsorbed (mol/kg)
mmen‐Fe2(dobpdc) CO2 298 0.00 0.04
mmen‐Fe2(dobpdc) CO2 298 1.16 0.12
mmen‐Fe2(dobpdc) CO2 298 2.54 0.22
mmen‐Fe2(dobpdc) CO2 298 3.63 0.32
mmen‐Fe2(dobpdc) CO2 298 4.00 0.36
mmen‐Fe2(dobpdc) CO2 298 4.07 0.58
mmen‐Fe2(dobpdc) CO2 298 4.01 0.79
mmen‐Fe2(dobpdc) CO2 298 4.08 0.99
mmen‐Fe2(dobpdc) CO2 298 4.16 1.23
mmen‐Fe2(dobpdc) CO2 298 4.38 1.40
mmen‐Fe2(dobpdc) CO2 298 4.75 1.68
PhD Thesis Shamsur Rahman 239
mmen‐Fe2(dobpdc) CO2 298 4.90 1.82
mmen‐Fe2(dobpdc) CO2 298 5.55 2.03
mmen‐Fe2(dobpdc) CO2 298 5.99 2.18
mmen‐Fe2(dobpdc) CO2 298 6.50 2.27
mmen‐Fe2(dobpdc) CO2 298 7.30 2.36
mmen‐Fe2(dobpdc) CO2 298 7.66 2.40
mmen‐Fe2(dobpdc) CO2 298 9.77 2.58
mmen‐Fe2(dobpdc) CO2 298 12.39 2.69
mmen‐Fe2(dobpdc) CO2 298 15.00 2.76
mmen‐Fe2(dobpdc) CO2 298 17.54 2.83
mmen‐Fe2(dobpdc) CO2 298 20.23 2.88
mmen‐Fe2(dobpdc) CO2 298 25.02 2.96
mmen‐Fe2(dobpdc) CO2 298 30.10 3.03
mmen‐Fe2(dobpdc) CO2 298 35.11 3.09
mmen‐Fe2(dobpdc) CO2 298 40.04 3.15
mmen‐Fe2(dobpdc) CO2 298 45.12 3.20
mmen‐Fe2(dobpdc) CO2 298 49.99 3.25
mmen‐Fe2(dobpdc) CO2 298 55.36 3.31
mmen‐Fe2(dobpdc) CO2 298 60.29 3.35
mmen‐Fe2(dobpdc) CO2 298 65.30 3.40
mmen‐Fe2(dobpdc) CO2 298 70.31 3.44
mmen‐Fe2(dobpdc) CO2 298 75.39 3.49
mmen‐Fe2(dobpdc) CO2 298 80.33 3.53
mmen‐Fe2(dobpdc) CO2 298 85.33 3.58
mmen‐Fe2(dobpdc) CO2 298 90.34 3.62
mmen‐Fe2(dobpdc) CO2 298 95.35 3.66
mmen‐Fe2(dobpdc) CO2 298 100.21 3.70
mmen‐Fe2(dobpdc) CO2 298 105.29 3.76
mmen‐Fe2(dobpdc) CO2 298 110.30 3.79
mmen‐Fe2(dobpdc) CO2 313 0.51 0.05
mmen‐Fe2(dobpdc) CO2 313 2.40 0.13
mmen‐Fe2(dobpdc) CO2 313 4.36 0.19
mmen‐Fe2(dobpdc) CO2 313 6.46 0.26
mmen‐Fe2(dobpdc) CO2 313 7.48 0.29
mmen‐Fe2(dobpdc) CO2 313 9.95 0.35
mmen‐Fe2(dobpdc) CO2 313 12.42 0.45
mmen‐Fe2(dobpdc) CO2 313 13.59 0.93
mmen‐Fe2(dobpdc) CO2 313 14.03 1.27
mmen‐Fe2(dobpdc) CO2 313 14.61 1.41
mmen‐Fe2(dobpdc) CO2 313 16.58 1.76
mmen‐Fe2(dobpdc) CO2 313 17.38 1.86
mmen‐Fe2(dobpdc) CO2 313 19.99 2.09
mmen‐Fe2(dobpdc) CO2 313 25.08 2.33
PhD Thesis Shamsur Rahman 240
mmen‐Fe2(dobpdc) CO2 313 29.73 2.47
mmen‐Fe2(dobpdc) CO2 313 34.81 2.58
mmen‐Fe2(dobpdc) CO2 313 40.18 2.66
mmen‐Fe2(dobpdc) CO2 313 45.11 2.73
mmen‐Fe2(dobpdc) CO2 313 50.20 2.79
mmen‐Fe2(dobpdc) CO2 313 55.06 2.84
mmen‐Fe2(dobpdc) CO2 313 60.07 2.89
mmen‐Fe2(dobpdc) CO2 313 65.22 2.94
mmen‐Fe2(dobpdc) CO2 313 70.23 2.98
mmen‐Fe2(dobpdc) CO2 313 75.24 3.02
mmen‐Fe2(dobpdc) CO2 313 80.17 3.06
mmen‐Fe2(dobpdc) CO2 313 85.25 3.10
mmen‐Fe2(dobpdc) CO2 313 90.19 3.14
mmen‐Fe2(dobpdc) CO2 313 95.27 3.18
mmen‐Fe2(dobpdc) CO2 313 100.20 3.22
mmen‐Fe2(dobpdc) CO2 313 105.28 3.26
mmen‐Fe2(dobpdc) CO2 313 110.07 3.28
mmen‐Fe2(dobpdc) CO2 323 2.61 0.02
mmen‐Fe2(dobpdc) CO2 323 4.50 0.06
mmen‐Fe2(dobpdc) CO2 323 6.53 0.11
mmen‐Fe2(dobpdc) CO2 323 7.84 0.13
mmen‐Fe2(dobpdc) CO2 323 9.65 0.16
mmen‐Fe2(dobpdc) CO2 323 12.56 0.21
mmen‐Fe2(dobpdc) CO2 323 14.88 0.24
mmen‐Fe2(dobpdc) CO2 323 17.28 0.27
mmen‐Fe2(dobpdc) CO2 323 20.03 0.30
mmen‐Fe2(dobpdc) CO2 323 24.75 0.41
mmen‐Fe2(dobpdc) CO2 323 26.95 1.27
mmen‐Fe2(dobpdc) CO2 323 28.77 1.61
mmen‐Fe2(dobpdc) CO2 323 29.78 1.73
mmen‐Fe2(dobpdc) CO2 323 33.13 2.02
mmen‐Fe2(dobpdc) CO2 323 34.87 2.12
mmen‐Fe2(dobpdc) CO2 323 39.74 2.33
mmen‐Fe2(dobpdc) CO2 323 44.89 2.47
mmen‐Fe2(dobpdc) CO2 323 49.90 2.57
mmen‐Fe2(dobpdc) CO2 323 55.20 2.65
mmen‐Fe2(dobpdc) CO2 323 60.14 2.72
mmen‐Fe2(dobpdc) CO2 323 65.29 2.77
mmen‐Fe2(dobpdc) CO2 323 70.23 2.82
mmen‐Fe2(dobpdc) CO2 323 75.45 2.87
mmen‐Fe2(dobpdc) CO2 323 80.24 2.91
mmen‐Fe2(dobpdc) CO2 323 85.39 2.95
mmen‐Fe2(dobpdc) CO2 323 90.33 2.99
PhD Thesis Shamsur Rahman 241
mmen‐Fe2(dobpdc) CO2 323 95.41 3.02
mmen‐Fe2(dobpdc) CO2 323 100.35 3.06
mmen‐Fe2(dobpdc) CO2 323 105.35 3.10
mmen‐Fe2(dobpdc) CO2 323 110.22 3.13
mmen‐CO2(dobpdc) CO2 298 0.29 0.06
mmen‐CO2(dobpdc) CO2 298 1.45 0.12
mmen‐CO2(dobpdc) CO2 298 2.75 0.18
mmen‐CO2(dobpdc) CO2 298 4.34 0.26
mmen‐CO2(dobpdc) CO2 298 6.07 0.35
mmen‐CO2(dobpdc) CO2 298 8.02 0.43
mmen‐CO2(dobpdc) CO2 298 9.97 0.51
mmen‐CO2(dobpdc) CO2 298 12.57 1.78
mmen‐CO2(dobpdc) CO2 298 14.67 1.96
mmen‐CO2(dobpdc) CO2 298 15.17 2.39
mmen‐CO2(dobpdc) CO2 298 16.91 2.51
mmen‐CO2(dobpdc) CO2 298 19.44 2.64
mmen‐CO2(dobpdc) CO2 298 22.62 2.74
mmen‐CO2(dobpdc) CO2 298 24.93 2.81
mmen‐CO2(dobpdc) CO2 298 27.53 2.87
mmen‐CO2(dobpdc) CO2 298 29.91 2.92
mmen‐CO2(dobpdc) CO2 298 32.51 2.96
mmen‐CO2(dobpdc) CO2 298 34.83 2.99
mmen‐CO2(dobpdc) CO2 298 37.36 3.03
mmen‐CO2(dobpdc) CO2 298 40.10 3.06
mmen‐CO2(dobpdc) CO2 298 42.49 3.10
mmen‐CO2(dobpdc) CO2 298 44.94 3.14
mmen‐CO2(dobpdc) CO2 298 47.47 3.17
mmen‐CO2(dobpdc) CO2 298 49.93 3.20
mmen‐CO2(dobpdc) CO2 298 52.46 3.23
mmen‐CO2(dobpdc) CO2 298 54.99 3.26
mmen‐CO2(dobpdc) CO2 298 57.51 3.30
mmen‐CO2(dobpdc) CO2 298 60.04 3.33
mmen‐CO2(dobpdc) CO2 298 62.28 3.35
mmen‐CO2(dobpdc) CO2 298 65.03 3.38
mmen‐CO2(dobpdc) CO2 298 67.34 3.40
mmen‐CO2(dobpdc) CO2 298 69.94 3.43
mmen‐CO2(dobpdc) CO2 298 72.47 3.47
mmen‐CO2(dobpdc) CO2 298 74.93 3.49
mmen‐CO2(dobpdc) CO2 298 77.38 3.52
mmen‐CO2(dobpdc) CO2 298 79.84 3.54
mmen‐CO2(dobpdc) CO2 298 82.44 3.57
mmen‐CO2(dobpdc) CO2 298 84.97 3.60
mmen‐CO2(dobpdc) CO2 298 87.43 3.62
PhD Thesis Shamsur Rahman 242
mmen‐CO2(dobpdc) CO2 298 89.88 3.64
mmen‐CO2(dobpdc) CO2 298 92.41 3.67
mmen‐CO2(dobpdc) CO2 298 94.80 3.69
mmen‐CO2(dobpdc) CO2 298 97.33 3.72
mmen‐CO2(dobpdc) CO2 298 99.71 3.74
mmen‐CO2(dobpdc) CO2 298 102.38 3.77
mmen‐CO2(dobpdc) CO2 298 104.77 3.79
mmen‐CO2(dobpdc) CO2 298 109.68 3.83
mmen‐CO2(dobpdc) CO2 313 0.72 0.02
mmen‐CO2(dobpdc) CO2 313 2.67 0.06
mmen‐CO2(dobpdc) CO2 313 5.42 0.11
mmen‐CO2(dobpdc) CO2 313 7.73 0.15
mmen‐CO2(dobpdc) CO2 313 10.12 0.19
mmen‐CO2(dobpdc) CO2 313 12.57 0.23
mmen‐CO2(dobpdc) CO2 313 15.03 0.27
mmen‐CO2(dobpdc) CO2 313 17.49 0.31
mmen‐CO2(dobpdc) CO2 313 19.94 0.35
mmen‐CO2(dobpdc) CO2 313 22.47 0.38
mmen‐CO2(dobpdc) CO2 313 24.93 0.42
mmen‐CO2(dobpdc) CO2 313 27.53 0.45
mmen‐CO2(dobpdc) CO2 313 29.99 0.49
mmen‐CO2(dobpdc) CO2 313 32.51 0.52
mmen‐CO2(dobpdc) CO2 313 34.83 0.56
mmen‐CO2(dobpdc) CO2 313 37.43 0.60
mmen‐CO2(dobpdc) CO2 313 40.10 0.64
mmen‐CO2(dobpdc) CO2 313 42.63 0.67
mmen‐CO2(dobpdc) CO2 313 42.85 2.17
mmen‐CO2(dobpdc) CO2 313 47.04 2.39
mmen‐CO2(dobpdc) CO2 313 48.84 2.46
mmen‐CO2(dobpdc) CO2 313 52.31 2.60
mmen‐CO2(dobpdc) CO2 313 55.06 2.69
mmen‐CO2(dobpdc) CO2 313 57.37 2.76
mmen‐CO2(dobpdc) CO2 313 59.83 2.82
mmen‐CO2(dobpdc) CO2 313 62.36 2.86
mmen‐CO2(dobpdc) CO2 313 64.88 2.90
mmen‐CO2(dobpdc) CO2 313 67.41 2.94
mmen‐CO2(dobpdc) CO2 313 70.01 2.98
mmen‐CO2(dobpdc) CO2 313 72.40 3.01
mmen‐CO2(dobpdc) CO2 313 74.93 3.04
mmen‐CO2(dobpdc) CO2 313 77.31 3.07
mmen‐CO2(dobpdc) CO2 313 79.84 3.10
mmen‐CO2(dobpdc) CO2 313 82.37 3.13
mmen‐CO2(dobpdc) CO2 313 84.90 3.16
PhD Thesis Shamsur Rahman 243
mmen‐CO2(dobpdc) CO2 313 87.43 3.18
mmen‐CO2(dobpdc) CO2 313 89.88 3.20
mmen‐CO2(dobpdc) CO2 313 92.34 3.22
mmen‐CO2(dobpdc) CO2 313 94.65 3.23
mmen‐CO2(dobpdc) CO2 313 97.25 3.27
mmen‐CO2(dobpdc) CO2 313 99.86 3.29
mmen‐CO2(dobpdc) CO2 313 102.31 3.30
mmen‐CO2(dobpdc) CO2 313 104.77 3.32
mmen‐CO2(dobpdc) CO2 313 107.30 3.34
mmen‐CO2(dobpdc) CO2 313 109.68 3.35
mmen‐CO2(dobpdc) CO2 323 2.75 0.01
mmen‐CO2(dobpdc) CO2 323 5.06 0.04
mmen‐CO2(dobpdc) CO2 323 7.23 0.05
mmen‐CO2(dobpdc) CO2 323 9.47 0.08
mmen‐CO2(dobpdc) CO2 323 11.99 0.09
mmen‐CO2(dobpdc) CO2 323 14.81 0.12
mmen‐CO2(dobpdc) CO2 323 17.41 0.15
mmen‐CO2(dobpdc) CO2 323 20.09 0.18
mmen‐CO2(dobpdc) CO2 323 22.69 0.21
mmen‐CO2(dobpdc) CO2 323 25.14 0.24
mmen‐CO2(dobpdc) CO2 323 27.53 0.26
mmen‐CO2(dobpdc) CO2 323 29.99 0.28
mmen‐CO2(dobpdc) CO2 323 32.51 0.30
mmen‐CO2(dobpdc) CO2 323 35.04 0.32
mmen‐CO2(dobpdc) CO2 323 37.72 0.35
mmen‐CO2(dobpdc) CO2 323 40.25 0.38
mmen‐CO2(dobpdc) CO2 323 42.56 0.39
mmen‐CO2(dobpdc) CO2 323 45.01 0.41
mmen‐CO2(dobpdc) CO2 323 47.69 0.44
mmen‐CO2(dobpdc) CO2 323 50.14 0.46
mmen‐CO2(dobpdc) CO2 323 52.46 0.49
mmen‐CO2(dobpdc) CO2 323 55.13 0.51
mmen‐CO2(dobpdc) CO2 323 57.66 0.53
mmen‐CO2(dobpdc) CO2 323 59.97 0.55
mmen‐CO2(dobpdc) CO2 323 62.36 0.58
mmen‐CO2(dobpdc) CO2 323 65.03 0.60
mmen‐CO2(dobpdc) CO2 323 67.34 0.63
mmen‐CO2(dobpdc) CO2 323 69.94 0.65
mmen‐CO2(dobpdc) CO2 323 72.54 0.68
mmen‐CO2(dobpdc) CO2 323 75.00 0.70
mmen‐CO2(dobpdc) CO2 323 77.46 0.73
mmen‐CO2(dobpdc) CO2 323 79.99 0.76
mmen‐CO2(dobpdc) CO2 323 82.44 0.81
PhD Thesis Shamsur Rahman 244
mmen‐CO2(dobpdc) CO2 323 84.03 2.24
mmen‐CO2(dobpdc) CO2 323 85.62 2.45
mmen‐CO2(dobpdc) CO2 323 86.99 2.52
mmen‐CO2(dobpdc) CO2 323 89.31 2.65
mmen‐CO2(dobpdc) CO2 323 92.70 2.69
mmen‐CO2(dobpdc) CO2 323 94.80 2.74
mmen‐CO2(dobpdc) CO2 323 97.40 2.78
mmen‐CO2(dobpdc) CO2 323 99.86 2.83
mmen‐CO2(dobpdc) CO2 323 102.17 2.86
mmen‐CO2(dobpdc) CO2 323 104.91 2.92
mmen‐CO2(dobpdc) CO2 323 109.68 2.99
E6 – Data table for all experimental isotherm data presented in Chapter 3
Table E6. Data table for all experimental isotherm data presented in Chapter 3
Adsorbent Gas Temperature (°C) Pressure (kPa) Quantity Adsorbed (mmol/g)
TMAY ‐ CBV100 CH4 ‐15 1.41 0.034
TMAY ‐ CBV100 CH4 ‐15 2.67 0.056
TMAY ‐ CBV100 CH4 ‐15 4.88 0.094
TMAY ‐ CBV100 CH4 ‐15 9.74 0.178
TMAY ‐ CBV100 CH4 ‐15 19.64 0.339
TMAY ‐ CBV100 CH4 ‐15 29.98 0.490
TMAY ‐ CBV100 CH4 ‐15 40.19 0.623
TMAY ‐ CBV100 CH4 ‐15 50.16 0.741
TMAY ‐ CBV100 CH4 ‐15 60.01 0.850
TMAY ‐ CBV100 CH4 ‐15 70.18 0.954
TMAY ‐ CBV100 CH4 ‐15 80.12 1.045
TMAY ‐ CBV100 CH4 ‐15 89.97 1.129
TMAY ‐ CBV100 CH4 ‐15 99.98 1.227
TMAY ‐ CBV100 CH4 0 0.04 0.000
TMAY ‐ CBV100 CH4 0 0.12 0.001
TMAY ‐ CBV100 CH4 0 0.21 0.002
TMAY ‐ CBV100 CH4 0 0.29 0.003
TMAY ‐ CBV100 CH4 0 0.45 0.005
TMAY ‐ CBV100 CH4 0 0.68 0.008
TMAY ‐ CBV100 CH4 0 0.82 0.010
TMAY ‐ CBV100 CH4 0 1.02 0.012
TMAY ‐ CBV100 CH4 0 1.21 0.014
TMAY ‐ CBV100 CH4 0 1.50 0.018
TMAY ‐ CBV100 CH4 0 1.86 0.021
TMAY ‐ CBV100 CH4 0 2.20 0.026
TMAY ‐ CBV100 CH4 0 2.71 0.033
PhD Thesis Shamsur Rahman 245
TMAY ‐ CBV100 CH4 0 3.32 0.039
TMAY ‐ CBV100 CH4 0 4.03 0.047
TMAY ‐ CBV100 CH4 0 4.96 0.059
TMAY ‐ CBV100 CH4 0 6.06 0.073
TMAY ‐ CBV100 CH4 0 7.37 0.089
TMAY ‐ CBV100 CH4 0 8.98 0.108
TMAY ‐ CBV100 CH4 0 10.96 0.131
TMAY ‐ CBV100 CH4 0 13.39 0.160
TMAY ‐ CBV100 CH4 0 16.31 0.193
TMAY ‐ CBV100 CH4 0 19.94 0.233
TMAY ‐ CBV100 CH4 0 24.29 0.281
TMAY ‐ CBV100 CH4 0 29.69 0.337
TMAY ‐ CBV100 CH4 0 36.18 0.403
TMAY ‐ CBV100 CH4 0 44.26 0.479
TMAY ‐ CBV100 CH4 0 54.14 0.560
TMAY ‐ CBV100 CH4 0 65.92 0.646
TMAY ‐ CBV100 CH4 0 80.65 0.745
TMAY ‐ CBV100 CH4 0 98.21 0.857
TMAY ‐ CBV100 CH4 30 5.43 0.039
TMAY ‐ CBV100 CH4 30 11.19 0.075
TMAY ‐ CBV100 CH4 30 19.93 0.129
TMAY ‐ CBV100 CH4 30 30.00 0.182
TMAY ‐ CBV100 CH4 30 39.87 0.234
TMAY ‐ CBV100 CH4 30 49.97 0.281
TMAY ‐ CBV100 CH4 30 60.12 0.326
TMAY ‐ CBV100 CH4 30 70.05 0.368
TMAY ‐ CBV100 CH4 30 80.13 0.411
TMAY ‐ CBV100 CH4 30 90.11 0.453
TMAY ‐ CBV100 CH4 30 100.04 0.499
TMAY ‐ CBV100 N2 ‐15 1.29 0.008
TMAY ‐ CBV100 N2 ‐15 2.80 0.012
TMAY ‐ CBV100 N2 ‐15 5.60 0.019
TMAY ‐ CBV100 N2 ‐15 9.99 0.031
TMAY ‐ CBV100 N2 ‐15 19.79 0.056
TMAY ‐ CBV100 N2 ‐15 29.94 0.082
TMAY ‐ CBV100 N2 ‐15 40.06 0.107
TMAY ‐ CBV100 N2 ‐15 50.04 0.132
TMAY ‐ CBV100 N2 ‐15 60.05 0.156
TMAY ‐ CBV100 N2 ‐15 70.03 0.179
TMAY ‐ CBV100 N2 ‐15 80.05 0.202
TMAY ‐ CBV100 N2 ‐15 89.99 0.225
TMAY ‐ CBV100 N2 ‐15 100.04 0.247
TMAY ‐ CBV100 N2 0 0.03 0.000
PhD Thesis Shamsur Rahman 246
TMAY ‐ CBV100 N2 0 0.12 0.000
TMAY ‐ CBV100 N2 0 0.21 0.000
TMAY ‐ CBV100 N2 0 0.30 0.001
TMAY ‐ CBV100 N2 0 0.45 0.001
TMAY ‐ CBV100 N2 0 0.72 0.001
TMAY ‐ CBV100 N2 0 0.97 0.002
TMAY ‐ CBV100 N2 0 1.04 0.002
TMAY ‐ CBV100 N2 0 1.43 0.002
TMAY ‐ CBV100 N2 0 1.51 0.002
TMAY ‐ CBV100 N2 0 2.11 0.004
TMAY ‐ CBV100 N2 0 2.23 0.004
TMAY ‐ CBV100 N2 0 3.13 0.006
TMAY ‐ CBV100 N2 0 3.35 0.007
TMAY ‐ CBV100 N2 0 4.08 0.009
TMAY ‐ CBV100 N2 0 4.97 0.012
TMAY ‐ CBV100 N2 0 6.06 0.014
TMAY ‐ CBV100 N2 0 7.36 0.017
TMAY ‐ CBV100 N2 0 8.99 0.021
TMAY ‐ CBV100 N2 0 10.97 0.027
TMAY ‐ CBV100 N2 0 13.40 0.033
TMAY ‐ CBV100 N2 0 16.33 0.040
TMAY ‐ CBV100 N2 0 19.94 0.049
TMAY ‐ CBV100 N2 0 24.33 0.060
TMAY ‐ CBV100 N2 0 29.70 0.073
TMAY ‐ CBV100 N2 0 36.27 0.088
TMAY ‐ CBV100 N2 0 44.25 0.106
TMAY ‐ CBV100 N2 0 54.03 0.128
TMAY ‐ CBV100 N2 0 65.97 0.153
TMAY ‐ CBV100 N2 0 80.50 0.183
TMAY ‐ CBV100 N2 0 98.30 0.217
TMAY ‐ CBV100 N2 30 1.35 0.003
TMAY ‐ CBV100 N2 30 2.85 0.004
TMAY ‐ CBV100 N2 30 5.63 0.007
TMAY ‐ CBV100 N2 30 10.00 0.011
TMAY ‐ CBV100 N2 30 19.83 0.021
TMAY ‐ CBV100 N2 30 29.97 0.032
TMAY ‐ CBV100 N2 30 40.11 0.042
TMAY ‐ CBV100 N2 30 50.18 0.052
TMAY ‐ CBV100 N2 30 59.95 0.062
TMAY ‐ CBV100 N2 30 70.18 0.072
TMAY ‐ CBV100 N2 30 80.12 0.081
TMAY ‐ CBV100 N2 30 90.05 0.091
TMAY ‐ CBV100 N2 30 99.95 0.101
PhD Thesis Shamsur Rahman 247
TMAY ‐ CBV720 CH4 ‐15 0.13 0.000
TMAY ‐ CBV720 CH4 ‐15 0.21 0.001
TMAY ‐ CBV720 CH4 ‐15 0.30 0.001
TMAY ‐ CBV720 CH4 ‐15 0.45 0.002
TMAY ‐ CBV720 CH4 ‐15 0.71 0.002
TMAY ‐ CBV720 CH4 ‐15 0.98 0.006
TMAY ‐ CBV720 CH4 ‐15 1.08 0.005
TMAY ‐ CBV720 CH4 ‐15 1.41 0.008
TMAY ‐ CBV720 CH4 ‐15 1.50 0.009
TMAY ‐ CBV720 CH4 ‐15 2.12 0.012
TMAY ‐ CBV720 CH4 ‐15 2.26 0.013
TMAY ‐ CBV720 CH4 ‐15 2.73 0.015
TMAY ‐ CBV720 CH4 ‐15 3.79 0.021
TMAY ‐ CBV720 CH4 ‐15 4.05 0.023
TMAY ‐ CBV720 CH4 ‐15 4.96 0.026
TMAY ‐ CBV720 CH4 ‐15 6.89 0.036
TMAY ‐ CBV720 CH4 ‐15 7.41 0.039
TMAY ‐ CBV720 CH4 ‐15 9.03 0.048
TMAY ‐ CBV720 CH4 ‐15 10.94 0.056
TMAY ‐ CBV720 CH4 ‐15 13.34 0.067
TMAY ‐ CBV720 CH4 ‐15 16.29 0.083
TMAY ‐ CBV720 CH4 ‐15 19.92 0.099
TMAY ‐ CBV720 CH4 ‐15 24.33 0.118
TMAY ‐ CBV720 CH4 ‐15 29.72 0.140
TMAY ‐ CBV720 CH4 ‐15 36.28 0.166
TMAY ‐ CBV720 CH4 ‐15 44.26 0.198
TMAY ‐ CBV720 CH4 ‐15 54.05 0.231
TMAY ‐ CBV720 CH4 ‐15 65.96 0.270
TMAY ‐ CBV720 CH4 ‐15 80.54 0.312
TMAY ‐ CBV720 CH4 ‐15 98.29 0.358
TMAY ‐ CBV720 CH4 0 0.13 0.000
TMAY ‐ CBV720 CH4 0 0.20 0.000
TMAY ‐ CBV720 CH4 0 0.30 0.001
TMAY ‐ CBV720 CH4 0 0.45 0.001
TMAY ‐ CBV720 CH4 0 0.69 0.002
TMAY ‐ CBV720 CH4 0 0.96 0.002
TMAY ‐ CBV720 CH4 0 1.16 0.003
TMAY ‐ CBV720 CH4 0 1.27 0.005
TMAY ‐ CBV720 CH4 0 1.51 0.006
TMAY ‐ CBV720 CH4 0 2.10 0.007
TMAY ‐ CBV720 CH4 0 2.55 0.010
TMAY ‐ CBV720 CH4 0 2.73 0.010
TMAY ‐ CBV720 CH4 0 3.80 0.014
PhD Thesis Shamsur Rahman 248
TMAY ‐ CBV720 CH4 0 4.05 0.016
TMAY ‐ CBV720 CH4 0 4.95 0.018
TMAY ‐ CBV720 CH4 0 6.89 0.025
TMAY ‐ CBV720 CH4 0 7.35 0.028
TMAY ‐ CBV720 CH4 0 8.98 0.032
TMAY ‐ CBV720 CH4 0 12.53 0.045
TMAY ‐ CBV720 CH4 0 13.36 0.048
TMAY ‐ CBV720 CH4 0 16.33 0.058
TMAY ‐ CBV720 CH4 0 19.88 0.070
TMAY ‐ CBV720 CH4 0 24.27 0.082
TMAY ‐ CBV720 CH4 0 29.74 0.099
TMAY ‐ CBV720 CH4 0 36.20 0.117
TMAY ‐ CBV720 CH4 0 44.36 0.141
TMAY ‐ CBV720 CH4 0 54.18 0.167
TMAY ‐ CBV720 CH4 0 66.01 0.194
TMAY ‐ CBV720 CH4 0 80.52 0.223
TMAY ‐ CBV720 CH4 0 98.32 0.258
TMAY ‐ CBV720 CH4 30 0.69 0.001
TMAY ‐ CBV720 CH4 30 0.84 0.001
TMAY ‐ CBV720 CH4 30 1.16 0.003
TMAY ‐ CBV720 CH4 30 1.29 0.004
TMAY ‐ CBV720 CH4 30 1.73 0.002
TMAY ‐ CBV720 CH4 30 2.10 0.003
TMAY ‐ CBV720 CH4 30 2.24 0.005
TMAY ‐ CBV720 CH4 30 2.73 0.005
TMAY ‐ CBV720 CH4 30 3.81 0.006
TMAY ‐ CBV720 CH4 30 4.06 0.008
TMAY ‐ CBV720 CH4 30 4.94 0.007
TMAY ‐ CBV720 CH4 30 6.91 0.015
TMAY ‐ CBV720 CH4 30 7.37 0.015
TMAY ‐ CBV720 CH4 30 10.34 0.024
TMAY ‐ CBV720 CH4 30 10.96 0.026
TMAY ‐ CBV720 CH4 30 13.37 0.030
TMAY ‐ CBV720 CH4 30 18.24 0.044
TMAY ‐ CBV720 CH4 30 19.91 0.047
TMAY ‐ CBV720 CH4 30 24.35 0.057
TMAY ‐ CBV720 CH4 30 29.72 0.069
TMAY ‐ CBV720 CH4 30 36.31 0.085
TMAY ‐ CBV720 CH4 30 44.23 0.102
TMAY ‐ CBV720 CH4 30 54.04 0.121
TMAY ‐ CBV720 CH4 30 66.05 0.144
TMAY ‐ CBV720 CH4 30 80.56 0.167
TMAY ‐ CBV720 CH4 30 98.35 0.191
PhD Thesis Shamsur Rahman 249
TMAY ‐ CBV720 N2 ‐15 2.25 0.001
TMAY ‐ CBV720 N2 ‐15 3.16 0.002
TMAY ‐ CBV720 N2 ‐15 3.32 0.003
TMAY ‐ CBV720 N2 ‐15 4.04 0.004
TMAY ‐ CBV720 N2 ‐15 5.66 0.006
TMAY ‐ CBV720 N2 ‐15 6.92 0.006
TMAY ‐ CBV720 N2 ‐15 8.42 0.008
TMAY ‐ CBV720 N2 ‐15 8.98 0.007
TMAY ‐ CBV720 N2 ‐15 12.56 0.013
TMAY ‐ CBV720 N2 ‐15 13.39 0.015
TMAY ‐ CBV720 N2 ‐15 16.33 0.018
TMAY ‐ CBV720 N2 ‐15 21.88 0.026
TMAY ‐ CBV720 N2 ‐15 24.30 0.031
TMAY ‐ CBV720 N2 ‐15 29.68 0.038
TMAY ‐ CBV720 N2 ‐15 36.27 0.048
TMAY ‐ CBV720 N2 ‐15 44.19 0.058
TMAY ‐ CBV720 N2 ‐15 54.04 0.073
TMAY ‐ CBV720 N2 ‐15 66.01 0.089
TMAY ‐ CBV720 N2 ‐15 80.56 0.106
TMAY ‐ CBV720 N2 ‐15 98.31 0.127
TMAY ‐ CBV720 N2 30 6.88 0.002
TMAY ‐ CBV720 N2 30 7.36 0.001
TMAY ‐ CBV720 N2 30 10.31 0.004
TMAY ‐ CBV720 N2 30 10.96 0.006
TMAY ‐ CBV720 N2 30 13.41 0.008
TMAY ‐ CBV720 N2 30 18.35 0.015
TMAY ‐ CBV720 N2 30 19.91 0.017
TMAY ‐ CBV720 N2 30 24.31 0.019
TMAY ‐ CBV720 N2 30 31.59 0.035
TMAY ‐ CBV720 N2 30 36.24 0.041
TMAY ‐ CBV720 N2 30 44.17 0.047
TMAY ‐ CBV720 N2 30 54.03 0.055
TMAY ‐ CBV720 N2 30 65.95 0.062
TMAY ‐ CBV720 N2 30 80.45 0.070
TMAY ‐ CBV720 N2 30 98.34 0.081
NaY CH4 0 1.28 0.013
NaY CH4 0 2.76 0.022
NaY CH4 0 4.90 0.035
NaY CH4 0 9.85 0.066
NaY CH4 0 19.75 0.126
NaY CH4 0 30.07 0.186
NaY CH4 0 40.07 0.243
NaY CH4 0 50.14 0.301
PhD Thesis Shamsur Rahman 250
NaY CH4 0 60.07 0.355
NaY CH4 0 70.00 0.410
NaY CH4 0 80.14 0.465
NaY CH4 0 90.06 0.518
NaY CH4 0 100.06 0.571
NaY CH4 30 1.34 0.010
NaY CH4 30 2.82 0.015
NaY CH4 30 4.93 0.023
NaY CH4 30 9.91 0.042
NaY CH4 30 19.84 0.079
NaY CH4 30 29.95 0.117
NaY CH4 30 39.98 0.152
NaY CH4 30 49.93 0.186
NaY CH4 30 60.11 0.221
NaY CH4 30 70.19 0.256
NaY CH4 30 80.23 0.290
NaY CH4 30 90.16 0.322
NaY CH4 30 100.13 0.355
NaY N2 0 1.30 0.012
NaY N2 0 2.81 0.018
NaY N2 0 5.59 0.030
NaY N2 0 9.96 0.048
NaY N2 0 19.81 0.089
NaY N2 0 29.98 0.131
NaY N2 0 39.94 0.171
NaY N2 0 49.99 0.212
NaY N2 0 60.07 0.252
NaY N2 0 69.97 0.291
NaY N2 0 80.05 0.330
NaY N2 0 90.09 0.369
NaY N2 0 100.02 0.407
NaY N2 30 1.36 0.004
NaY N2 30 2.81 0.008
NaY N2 30 4.97 0.013
NaY N2 30 9.91 0.024
NaY N2 30 19.84 0.047
NaY N2 30 29.95 0.070
NaY N2 30 40.13 0.093
NaY N2 30 49.96 0.115
NaY N2 30 60.15 0.137
NaY N2 30 70.15 0.159
NaY N2 30 80.21 0.180
NaY N2 30 90.10 0.201
PhD Thesis Shamsur Rahman 251
NaY N2 30 100.05 0.222
TMAY Not Degassed CH4 0 1.36 0.003
TMAY Not Degassed CH4 0 2.84 0.004
TMAY Not Degassed CH4 0 5.67 0.006
TMAY Not Degassed CH4 0 9.98 0.010
TMAY Not Degassed CH4 0 19.85 0.018
TMAY Not Degassed CH4 0 30.24 0.025
TMAY Not Degassed CH4 0 40.31 0.032
TMAY Not Degassed CH4 0 50.19 0.039
TMAY Not Degassed CH4 0 60.32 0.046
TMAY Not Degassed CH4 0 70.19 0.051
TMAY Not Degassed CH4 0 80.20 0.057
TMAY Not Degassed CH4 0 90.30 0.063
TMAY Not Degassed CH4 0 100.17 0.068
TMAY Not Degassed CH4 30 1.43 0.001
TMAY Not Degassed CH4 30 2.87 0.001
TMAY Not Degassed CH4 30 4.99 0.002
TMAY Not Degassed CH4 30 9.94 0.004
TMAY Not Degassed CH4 30 19.98 0.008
TMAY Not Degassed CH4 30 29.91 0.010
TMAY Not Degassed CH4 30 40.19 0.013
TMAY Not Degassed CH4 30 50.17 0.015
TMAY Not Degassed CH4 30 60.19 0.018
TMAY Not Degassed CH4 30 70.28 0.021
TMAY Not Degassed CH4 30 80.23 0.023
TMAY Not Degassed CH4 30 90.24 0.025
TMAY Not Degassed CH4 30 100.14 0.027
TMA‐Mg‐Y CH4 0 1.42 0.016
TMA‐Mg‐Y CH4 0 2.69 0.026
TMA‐Mg‐Y CH4 0 4.84 0.044
TMA‐Mg‐Y CH4 0 9.75 0.083
TMA‐Mg‐Y CH4 0 19.67 0.160
TMA‐Mg‐Y CH4 0 29.97 0.237
TMA‐Mg‐Y CH4 0 40.12 0.312
TMA‐Mg‐Y CH4 0 50.13 0.382
TMA‐Mg‐Y CH4 0 60.18 0.450
TMA‐Mg‐Y CH4 0 70.08 0.517
TMA‐Mg‐Y CH4 0 80.19 0.583
TMA‐Mg‐Y CH4 0 89.98 0.645
TMA‐Mg‐Y CH4 0 100.07 0.707
TMA‐Mg‐Y CH4 30 1.32 0.007
TMA‐Mg‐Y CH4 30 2.77 0.013
TMA‐Mg‐Y CH4 30 4.93 0.022
PhD Thesis Shamsur Rahman 252
TMA‐Mg‐Y CH4 30 9.87 0.041
TMA‐Mg‐Y CH4 30 19.75 0.080
TMA‐Mg‐Y CH4 30 30.07 0.120
TMA‐Mg‐Y CH4 30 40.13 0.158
TMA‐Mg‐Y CH4 30 50.10 0.195
TMA‐Mg‐Y CH4 30 60.13 0.232
TMA‐Mg‐Y CH4 30 70.08 0.267
TMA‐Mg‐Y CH4 30 79.99 0.302
TMA‐Mg‐Y CH4 30 90.10 0.337
TMA‐Mg‐Y CH4 30 100.09 0.372
TMA‐Mg‐Y N2 0 1.34 0.006
TMA‐Mg‐Y N2 0 2.84 0.010
TMA‐Mg‐Y N2 0 4.94 0.015
TMA‐Mg‐Y N2 0 9.92 0.028
TMA‐Mg‐Y N2 0 19.85 0.054
TMA‐Mg‐Y N2 0 29.96 0.079
TMA‐Mg‐Y N2 0 39.95 0.104
TMA‐Mg‐Y N2 0 49.95 0.128
TMA‐Mg‐Y N2 0 60.04 0.152
TMA‐Mg‐Y N2 0 70.10 0.176
TMA‐Mg‐Y N2 0 80.06 0.199
TMA‐Mg‐Y N2 0 90.04 0.222
TMA‐Mg‐Y N2 0 100.04 0.245
TMA‐Mg‐Y N2 30 1.38 0.004
TMA‐Mg‐Y N2 30 2.85 0.006
TMA‐Mg‐Y N2 30 5.67 0.010
TMA‐Mg‐Y N2 30 9.93 0.016
TMA‐Mg‐Y N2 30 19.89 0.030
TMA‐Mg‐Y N2 30 29.95 0.043
TMA‐Mg‐Y N2 30 39.95 0.057
TMA‐Mg‐Y N2 30 50.07 0.071
TMA‐Mg‐Y N2 30 60.07 0.084
TMA‐Mg‐Y N2 30 70.06 0.097
TMA‐Mg‐Y N2 30 80.07 0.110
TMA‐Mg‐Y N2 30 90.03 0.123
TMA‐Mg‐Y N2 30 100.01 0.137
TMA‐Base‐NaY CH4 0 1.36 0.020
TMA‐Base‐NaY CH4 0 2.59 0.033
TMA‐Base‐NaY CH4 0 4.85 0.058
TMA‐Base‐NaY CH4 0 9.68 0.109
TMA‐Base‐NaY CH4 0 19.44 0.208
TMA‐Base‐NaY CH4 0 29.98 0.310
TMA‐Base‐NaY CH4 0 40.08 0.402
PhD Thesis Shamsur Rahman 253
TMA‐Base‐NaY CH4 0 50.15 0.488
TMA‐Base‐NaY CH4 0 60.16 0.570
TMA‐Base‐NaY CH4 0 70.10 0.646
TMA‐Base‐NaY CH4 0 80.07 0.720
TMA‐Base‐NaY CH4 0 90.05 0.790
TMA‐Base‐NaY CH4 0 100.07 0.857
TMA‐Base‐NaY N2 0 1.33 0.006
TMA‐Base‐NaY N2 0 2.80 0.010
TMA‐Base‐NaY N2 0 4.90 0.015
TMA‐Base‐NaY N2 0 9.90 0.028
TMA‐Base‐NaY N2 0 19.86 0.053
TMA‐Base‐NaY N2 0 29.99 0.078
TMA‐Base‐NaY N2 0 39.96 0.103
TMA‐Base‐NaY N2 0 50.12 0.127
TMA‐Base‐NaY N2 0 60.14 0.150
TMA‐Base‐NaY N2 0 70.02 0.173
TMA‐Base‐NaY N2 0 80.12 0.196
TMA‐Base‐NaY N2 0 90.10 0.217
TMA‐Base‐NaY N2 0 100.03 0.239
TMAOH‐NaY CH4 0 1.38 0.020
TMAOH‐NaY CH4 0 2.55 0.034
TMAOH‐NaY CH4 0 4.96 0.063
TMAOH‐NaY CH4 0 9.70 0.118
TMAOH‐NaY CH4 0 19.39 0.226
TMAOH‐NaY CH4 0 29.98 0.336
TMAOH‐NaY CH4 0 40.08 0.433
TMAOH‐NaY CH4 0 49.95 0.523
TMAOH‐NaY CH4 0 60.13 0.611
TMAOH‐NaY CH4 0 70.07 0.692
TMAOH‐NaY CH4 0 80.16 0.769
TMAOH‐NaY CH4 0 90.08 0.841
TMAOH‐NaY CH4 0 100.01 0.911
TMAOH‐NaY CH4 30 1.24 0.009
TMAOH‐NaY CH4 30 2.69 0.017
TMAOH‐NaY CH4 30 4.90 0.029
TMAOH‐NaY CH4 30 9.80 0.056
TMAOH‐NaY CH4 30 19.66 0.108
TMAOH‐NaY CH4 30 29.96 0.160
TMAOH‐NaY CH4 30 40.10 0.210
TMAOH‐NaY CH4 30 50.08 0.257
TMAOH‐NaY CH4 30 60.11 0.304
TMAOH‐NaY CH4 30 70.13 0.348
TMAOH‐NaY CH4 30 79.95 0.390
PhD Thesis Shamsur Rahman 254
TMAOH‐NaY CH4 30 90.05 0.432
TMAOH‐NaY CH4 30 100.00 0.472
TMAOH‐NaY N2 0 1.34 0.005
TMAOH‐NaY N2 0 2.79 0.009
TMAOH‐NaY N2 0 4.88 0.014
TMAOH‐NaY N2 0 9.93 0.027
TMAOH‐NaY N2 0 19.86 0.052
TMAOH‐NaY N2 0 29.97 0.076
TMAOH‐NaY N2 0 39.93 0.099
TMAOH‐NaY N2 0 50.21 0.123
TMAOH‐NaY N2 0 60.11 0.145
TMAOH‐NaY N2 0 70.17 0.168
TMAOH‐NaY N2 0 80.21 0.190
TMAOH‐NaY N2 0 90.20 0.211
TMAOH‐NaY N2 0 100.10 0.233
TMAOH‐NaY N2 30 1.37 0.004
TMAOH‐NaY N2 30 2.84 0.006
TMAOH‐NaY N2 30 4.96 0.009
TMAOH‐NaY N2 30 9.94 0.015
TMAOH‐NaY N2 30 19.91 0.028
TMAOH‐NaY N2 30 29.97 0.041
TMAOH‐NaY N2 30 39.94 0.053
TMAOH‐NaY N2 30 50.08 0.066
TMAOH‐NaY N2 30 60.06 0.078
TMAOH‐NaY N2 30 70.07 0.090
TMAOH‐NaY N2 30 80.05 0.102
TMAOH‐NaY N2 30 90.04 0.113
TMAOH‐NaY N2 30 100.04 0.126
TMAOH‐HY600 CH4 0 1.26 0.010
TMAOH‐HY600 CH4 0 2.71 0.018
TMAOH‐HY600 CH4 0 4.90 0.033
TMAOH‐HY600 CH4 0 9.87 0.062
TMAOH‐HY600 CH4 0 19.71 0.116
TMAOH‐HY600 CH4 0 29.98 0.169
TMAOH‐HY600 CH4 0 40.05 0.219
TMAOH‐HY600 CH4 0 50.15 0.267
TMAOH‐HY600 CH4 0 60.16 0.312
TMAOH‐HY600 CH4 0 69.97 0.354
TMAOH‐HY600 CH4 0 80.07 0.396
TMAOH‐HY600 CH4 0 90.09 0.436
TMAOH‐HY600 CH4 0 100.05 0.474
TMAOH‐HY600 N2 0 1.38 0.004
TMAOH‐HY600 N2 0 2.86 0.005
PhD Thesis Shamsur Rahman 255
TMAOH‐HY600 N2 0 5.68 0.009
TMAOH‐HY600 N2 0 10.04 0.015
TMAOH‐HY600 N2 0 19.89 0.027
TMAOH‐HY600 N2 0 29.97 0.040
TMAOH‐HY600 N2 0 40.04 0.052
TMAOH‐HY600 N2 0 50.04 0.064
TMAOH‐HY600 N2 0 60.07 0.076
TMAOH‐HY600 N2 0 70.06 0.088
TMAOH‐HY600 N2 0 80.07 0.100
TMAOH‐HY600 N2 0 90.11 0.111
TMAOH‐HY600 N2 0 100.04 0.123
TMAOH‐HY400 CH4 0 1.37 0.016
TMAOH‐HY400 CH4 0 2.63 0.027
TMAOH‐HY400 CH4 0 4.89 0.047
TMAOH‐HY400 CH4 0 9.72 0.089
TMAOH‐HY400 CH4 0 19.55 0.169
TMAOH‐HY400 CH4 0 30.10 0.250
TMAOH‐HY400 CH4 0 39.95 0.322
TMAOH‐HY400 CH4 0 50.13 0.391
TMAOH‐HY400 CH4 0 60.07 0.455
TMAOH‐HY400 CH4 0 70.13 0.516
TMAOH‐HY400 CH4 0 80.13 0.573
TMAOH‐HY400 CH4 0 89.91 0.627
TMAOH‐HY400 CH4 0 100.08 0.680
TMAOH‐HY400 N2 0 1.25 0.005
TMAOH‐HY400 N2 0 2.82 0.008
TMAOH‐HY400 N2 0 5.62 0.013
TMAOH‐HY400 N2 0 10.00 0.021
TMAOH‐HY400 N2 0 19.81 0.037
TMAOH‐HY400 N2 0 29.98 0.054
TMAOH‐HY400 N2 0 39.96 0.071
TMAOH‐HY400 N2 0 50.08 0.087
TMAOH‐HY400 N2 0 59.99 0.102
TMAOH‐HY400 N2 0 70.07 0.117
TMAOH‐HY400 N2 0 80.04 0.133
TMAOH‐HY400 N2 0 90.04 0.148
TMAOH‐HY400 N2 0 100.04 0.162
TMAOH‐HY400 CH4 30 1.24 0.008
TMAOH‐HY400 CH4 30 2.73 0.014
TMAOH‐HY400 CH4 30 4.85 0.023
TMAOH‐HY400 CH4 30 9.82 0.043
TMAOH‐HY400 CH4 30 19.71 0.082
TMAOH‐HY400 CH4 30 29.98 0.121
PhD Thesis Shamsur Rahman 256
TMAOH‐HY400 CH4 30 39.94 0.157
TMAOH‐HY400 CH4 30 50.10 0.194
TMAOH‐HY400 CH4 30 60.11 0.228
TMAOH‐HY400 CH4 30 70.10 0.260
TMAOH‐HY400 CH4 30 80.14 0.293
TMAOH‐HY400 CH4 30 89.99 0.324
TMAOH‐HY400 CH4 30 100.14 0.355
TMAOH‐HY400 N2 30 1.34 0.004
TMAOH‐HY400 N2 30 2.86 0.005
TMAOH‐HY400 N2 30 5.69 0.007
TMAOH‐HY400 N2 30 10.00 0.011
TMAOH‐HY400 N2 30 19.91 0.020
TMAOH‐HY400 N2 30 29.96 0.029
TMAOH‐HY400 N2 30 39.95 0.038
TMAOH‐HY400 N2 30 49.94 0.046
TMAOH‐HY400 N2 30 60.14 0.055
TMAOH‐HY400 N2 30 70.06 0.064
TMAOH‐HY400 N2 30 80.00 0.072
TMAOH‐HY400 N2 30 90.10 0.080
TMAOH‐HY400 N2 30 100.11 0.088
Carbon (Norit RB3) CH4 0 1.23 0.045
Carbon (Norit RB3) CH4 0 2.48 0.082
Carbon (Norit RB3) CH4 0 4.85 0.146
Carbon (Norit RB3) CH4 0 9.55 0.255
Carbon (Norit RB3) CH4 0 20.16 0.454
Carbon (Norit RB3) CH4 0 29.69 0.601
Carbon (Norit RB3) CH4 0 39.75 0.737
Carbon (Norit RB3) CH4 0 50.03 0.861
Carbon (Norit RB3) CH4 0 59.97 0.970
Carbon (Norit RB3) CH4 0 70.13 1.073
Carbon (Norit RB3) CH4 0 79.90 1.165
Carbon (Norit RB3) CH4 0 90.12 1.255
Carbon (Norit RB3) CH4 0 100.02 1.339
Carbon (Norit RB3) N2 0 1.39 0.010
Carbon (Norit RB3) N2 0 2.64 0.018
Carbon (Norit RB3) N2 0 4.87 0.030
Carbon (Norit RB3) N2 0 9.73 0.058
Carbon (Norit RB3) N2 0 19.59 0.110
Carbon (Norit RB3) N2 0 29.97 0.162
Carbon (Norit RB3) N2 0 40.00 0.210
Carbon (Norit RB3) N2 0 50.00 0.255
Carbon (Norit RB3) N2 0 60.03 0.298
Carbon (Norit RB3) N2 0 70.03 0.340
PhD Thesis Shamsur Rahman 257
Carbon (Norit RB3) N2 0 79.95 0.379
Carbon (Norit RB3) N2 0 90.05 0.417
Carbon (Norit RB3) N2 0 100.02 0.454
Acid‐Carbon1 CH4 0 1.28 0.032
Acid‐Carbon1 CH4 0 2.41 0.054
Acid‐Carbon1 CH4 0 4.89 0.099
Acid‐Carbon1 CH4 0 9.76 0.178
Acid‐Carbon1 CH4 0 19.60 0.312
Acid‐Carbon1 CH4 0 29.87 0.431
Acid‐Carbon1 CH4 0 39.94 0.535
Acid‐Carbon1 CH4 0 50.07 0.629
Acid‐Carbon1 CH4 0 60.00 0.715
Acid‐Carbon1 CH4 0 70.05 0.795
Acid‐Carbon1 CH4 0 80.04 0.870
Acid‐Carbon1 CH4 0 90.05 0.941
Acid‐Carbon1 CH4 0 100.11 1.009
Acid‐Carbon1 N2 0 1.27 0.008
Acid‐Carbon1 N2 0 2.75 0.015
Acid‐Carbon1 N2 0 4.94 0.024
Acid‐Carbon1 N2 0 9.86 0.045
Acid‐Carbon1 N2 0 19.80 0.086
Acid‐Carbon1 N2 0 29.97 0.127
Acid‐Carbon1 N2 0 39.96 0.164
Acid‐Carbon1 N2 0 50.10 0.201
Acid‐Carbon1 N2 0 60.08 0.236
Acid‐Carbon1 N2 0 70.07 0.269
Acid‐Carbon1 N2 0 80.07 0.301
Acid‐Carbon1 N2 0 90.10 0.333
Acid‐Carbon1 N2 0 100.07 0.364
TMA‐Carbon1 CH4 0 1.29 0.026
TMA‐Carbon1 CH4 0 2.43 0.045
TMA‐Carbon1 CH4 0 4.91 0.082
TMA‐Carbon1 CH4 0 9.76 0.147
TMA‐Carbon1 CH4 0 19.58 0.261
TMA‐Carbon1 CH4 0 30.08 0.364
TMA‐Carbon1 CH4 0 39.88 0.450
TMA‐Carbon1 CH4 0 49.98 0.531
TMA‐Carbon1 CH4 0 60.07 0.606
TMA‐Carbon1 CH4 0 70.07 0.676
TMA‐Carbon1 CH4 0 79.96 0.740
TMA‐Carbon1 CH4 0 90.08 0.803
TMA‐Carbon1 CH4 0 100.03 0.862
TMA‐Carbon1 N2 0 1.31 0.006
PhD Thesis Shamsur Rahman 258
TMA‐Carbon1 N2 0 2.75 0.011
TMA‐Carbon1 N2 0 4.96 0.018
TMA‐Carbon1 N2 0 9.88 0.035
TMA‐Carbon1 N2 0 19.79 0.067
TMA‐Carbon1 N2 0 29.97 0.098
TMA‐Carbon1 N2 0 40.06 0.128
TMA‐Carbon1 N2 0 50.08 0.156
TMA‐Carbon1 N2 0 60.11 0.183
TMA‐Carbon1 N2 0 70.05 0.210
TMA‐Carbon1 N2 0 80.07 0.235
TMA‐Carbon1 N2 0 90.05 0.260
TMA‐Carbon1 N2 0 100.03 0.285
TMA‐Carbon2 CH4 0 1.21 0.011
TMA‐Carbon2 CH4 0 2.67 0.021
TMA‐Carbon2 CH4 0 4.92 0.035
TMA‐Carbon2 CH4 0 9.86 0.062
TMA‐Carbon2 CH4 0 19.85 0.108
TMA‐Carbon2 CH4 0 29.92 0.146
TMA‐Carbon2 CH4 0 40.12 0.181
TMA‐Carbon2 CH4 0 50.20 0.211
TMA‐Carbon2 CH4 0 60.07 0.239
TMA‐Carbon2 CH4 0 70.17 0.265
TMA‐Carbon2 CH4 0 80.20 0.290
TMA‐Carbon2 CH4 0 90.09 0.312
TMA‐Carbon2 CH4 0 100.13 0.334
TMA‐Carbon2 N2 0 1.36 0.004
TMA‐Carbon2 N2 0 2.83 0.006
TMA‐Carbon2 N2 0 5.68 0.010
TMA‐Carbon2 N2 0 10.00 0.015
TMA‐Carbon2 N2 0 19.88 0.028
TMA‐Carbon2 N2 0 29.96 0.039
TMA‐Carbon2 N2 0 39.95 0.051
TMA‐Carbon2 N2 0 49.94 0.062
TMA‐Carbon2 N2 0 60.06 0.072
TMA‐Carbon2 N2 0 70.03 0.082
TMA‐Carbon2 N2 0 80.04 0.092
TMA‐Carbon2 N2 0 90.05 0.102
TMA‐Carbon2 N2 0 100.01 0.111
TMA‐Carbon3 CH4 0 1.35 0.047
TMA‐Carbon3 CH4 0 2.65 0.085
TMA‐Carbon3 CH4 0 4.93 0.145
TMA‐Carbon3 CH4 0 9.62 0.251
TMA‐Carbon3 CH4 0 19.44 0.433
PhD Thesis Shamsur Rahman 259
TMA‐Carbon3 CH4 0 29.82 0.592
TMA‐Carbon3 CH4 0 39.73 0.724
TMA‐Carbon3 CH4 0 50.05 0.847
TMA‐Carbon3 CH4 0 60.09 0.956
TMA‐Carbon3 CH4 0 70.06 1.055
TMA‐Carbon3 CH4 0 80.06 1.148
TMA‐Carbon3 CH4 0 89.95 1.235
TMA‐Carbon3 CH4 0 100.09 1.319
TMA‐Carbon3 N2 0 1.27 0.009
TMA‐Carbon3 N2 0 2.71 0.017
TMA‐Carbon3 N2 0 4.96 0.030
TMA‐Carbon3 N2 0 9.83 0.057
TMA‐Carbon3 N2 0 19.76 0.108
TMA‐Carbon3 N2 0 30.04 0.158
TMA‐Carbon3 N2 0 39.94 0.204
TMA‐Carbon3 N2 0 50.06 0.248
TMA‐Carbon3 N2 0 60.07 0.290
TMA‐Carbon3 N2 0 70.13 0.331
TMA‐Carbon3 N2 0 80.05 0.370
TMA‐Carbon3 N2 0 90.04 0.407
TMA‐Carbon3 N2 0 100.03 0.444
TMA‐Carbon4 CH4 0 1.34 0.038
TMA‐Carbon4 CH4 0 2.65 0.066
TMA‐Carbon4 CH4 0 4.79 0.110
TMA‐Carbon4 CH4 0 10.06 0.207
TMA‐Carbon4 CH4 0 19.82 0.358
TMA‐Carbon4 CH4 0 29.82 0.489
TMA‐Carbon4 CH4 0 39.94 0.606
TMA‐Carbon4 CH4 0 49.98 0.711
TMA‐Carbon4 CH4 0 60.08 0.808
TMA‐Carbon4 CH4 0 69.97 0.896
TMA‐Carbon4 CH4 0 80.10 0.981
TMA‐Carbon4 CH4 0 90.11 1.061
TMA‐Carbon4 CH4 0 100.15 1.136
TMA‐Carbon4 N2 0 1.24 0.007
TMA‐Carbon4 N2 0 2.71 0.013
TMA‐Carbon4 N2 0 4.84 0.023
TMA‐Carbon4 N2 0 9.78 0.045
TMA‐Carbon4 N2 0 19.75 0.088
TMA‐Carbon4 N2 0 30.08 0.130
TMA‐Carbon4 N2 0 40.03 0.169
TMA‐Carbon4 N2 0 50.08 0.206
TMA‐Carbon4 N2 0 60.05 0.242
PhD Thesis Shamsur Rahman 260
TMA‐Carbon4 N2 0 70.03 0.277
TMA‐Carbon4 N2 0 80.05 0.311
TMA‐Carbon4 N2 0 90.00 0.343
TMA‐Carbon4 N2 0 100.04 0.376
TMA‐AcidBaseCarbon CH4 0 1.32 0.040
TMA‐AcidBaseCarbon CH4 0 2.49 0.067
TMA‐AcidBaseCarbon CH4 0 4.82 0.118
TMA‐AcidBaseCarbon CH4 0 9.74 0.211
TMA‐AcidBaseCarbon CH4 0 19.67 0.369
TMA‐AcidBaseCarbon CH4 0 30.12 0.510
TMA‐AcidBaseCarbon CH4 0 39.83 0.626
TMA‐AcidBaseCarbon CH4 0 50.13 0.737
TMA‐AcidBaseCarbon CH4 0 60.17 0.837
TMA‐AcidBaseCarbon CH4 0 70.15 0.929
TMA‐AcidBaseCarbon CH4 0 79.94 1.015
TMA‐AcidBaseCarbon CH4 0 90.18 1.101
TMA‐AcidBaseCarbon CH4 0 100.21 1.179
TMA‐AcidBaseCarbon N2 0 1.30 0.011
TMA‐AcidBaseCarbon N2 0 2.78 0.018
TMA‐AcidBaseCarbon N2 0 4.89 0.028
TMA‐AcidBaseCarbon N2 0 9.88 0.052
TMA‐AcidBaseCarbon N2 0 19.83 0.099
TMA‐AcidBaseCarbon N2 0 29.97 0.143
TMA‐AcidBaseCarbon N2 0 39.95 0.184
TMA‐AcidBaseCarbon N2 0 50.13 0.225
TMA‐AcidBaseCarbon N2 0 60.15 0.264
TMA‐AcidBaseCarbon N2 0 70.18 0.301
TMA‐AcidBaseCarbon N2 0 80.10 0.337
TMA‐AcidBaseCarbon N2 0 90.10 0.372
TMA‐AcidBaseCarbon N2 0 100.14 0.406
Carbon (Norit R2030) CH4 0 1.22 0.047
Carbon (Norit R2030) CH4 0 2.57 0.087
Carbon (Norit R2030) CH4 0 5.22 0.157
Carbon (Norit R2030) CH4 0 9.95 0.263
Carbon (Norit R2030) CH4 0 19.61 0.434
Carbon (Norit R2030) CH4 0 29.87 0.581
Carbon (Norit R2030) CH4 0 39.81 0.702
Carbon (Norit R2030) CH4 0 49.96 0.810
Carbon (Norit R2030) CH4 0 60.09 0.908
Carbon (Norit R2030) CH4 0 70.12 0.995
Carbon (Norit R2030) CH4 0 80.09 1.075
Carbon (Norit R2030) CH4 0 90.13 1.151
Carbon (Norit R2030) CH4 0 100.17 1.221
PhD Thesis Shamsur Rahman 261
Carbon (Norit R2030) N2 0 1.39 0.010
Carbon (Norit R2030) N2 0 2.59 0.017
Carbon (Norit R2030) N2 0 4.87 0.029
Carbon (Norit R2030) N2 0 9.69 0.055
Carbon (Norit R2030) N2 0 19.49 0.104
Carbon (Norit R2030) N2 0 30.00 0.153
Carbon (Norit R2030) N2 0 40.12 0.196
Carbon (Norit R2030) N2 0 50.01 0.237
Carbon (Norit R2030) N2 0 60.07 0.276
Carbon (Norit R2030) N2 0 70.12 0.314
Carbon (Norit R2030) N2 0 80.04 0.349
Carbon (Norit R2030) N2 0 90.10 0.383
Carbon (Norit R2030) N2 0 100.11 0.416
Base‐Carbon CH4 0 1.31 0.050
Base‐Carbon CH4 0 2.63 0.089
Base‐Carbon CH4 0 4.83 0.147
Base‐Carbon CH4 0 9.60 0.253
Base‐Carbon CH4 0 19.59 0.427
Base‐Carbon CH4 0 29.77 0.568
Base‐Carbon CH4 0 39.88 0.687
Base‐Carbon CH4 0 49.88 0.790
Base‐Carbon CH4 0 60.03 0.883
Base‐Carbon CH4 0 70.09 0.968
Base‐Carbon CH4 0 80.09 1.046
Base‐Carbon CH4 0 90.14 1.118
Base‐Carbon CH4 0 99.92 1.184
Base‐Carbon N2 0 1.23 0.010
Base‐Carbon N2 0 2.70 0.019
Base‐Carbon N2 0 4.91 0.032
Base‐Carbon N2 0 9.83 0.059
Base‐Carbon N2 0 19.74 0.110
Base‐Carbon N2 0 29.97 0.159
Base‐Carbon N2 0 40.03 0.203
Base‐Carbon N2 0 50.07 0.244
Base‐Carbon N2 0 60.15 0.284
Base‐Carbon N2 0 70.13 0.321
Base‐Carbon N2 0 80.08 0.357
Base‐Carbon N2 0 90.14 0.391
Base‐Carbon N2 0 100.11 0.424
APS‐Carbon CH4 0 1.30 0.024
APS‐Carbon CH4 0 2.47 0.041
APS‐Carbon CH4 0 4.91 0.076
APS‐Carbon CH4 0 9.76 0.136
PhD Thesis Shamsur Rahman 262
APS‐Carbon CH4 0 19.65 0.241
APS‐Carbon CH4 0 30.05 0.333
APS‐Carbon CH4 0 39.98 0.410
APS‐Carbon CH4 0 49.97 0.479
APS‐Carbon CH4 0 59.93 0.543
APS‐Carbon CH4 0 70.10 0.603
APS‐Carbon CH4 0 79.95 0.657
APS‐Carbon CH4 0 90.17 0.709
APS‐Carbon CH4 0 100.06 0.759
APS‐Carbon N2 0 1.32 0.006
APS‐Carbon N2 0 2.80 0.011
APS‐Carbon N2 0 4.96 0.017
APS‐Carbon N2 0 9.88 0.033
APS‐Carbon N2 0 19.82 0.062
APS‐Carbon N2 0 29.94 0.090
APS‐Carbon N2 0 39.93 0.117
APS‐Carbon N2 0 50.09 0.143
APS‐Carbon N2 0 60.07 0.168
APS‐Carbon N2 0 70.10 0.192
APS‐Carbon N2 0 80.03 0.215
APS‐Carbon N2 0 90.09 0.237
APS‐Carbon N2 0 99.99 0.261
TMA‐APS‐Carbon CH4 0 1.28 0.033
TMA‐APS‐Carbon CH4 0 2.43 0.057
TMA‐APS‐Carbon CH4 0 4.87 0.102
TMA‐APS‐Carbon CH4 0 9.81 0.179
TMA‐APS‐Carbon CH4 0 19.83 0.303
TMA‐APS‐Carbon CH4 0 29.95 0.405
TMA‐APS‐Carbon CH4 0 40.01 0.490
TMA‐APS‐Carbon CH4 0 50.00 0.567
TMA‐APS‐Carbon CH4 0 60.19 0.637
TMA‐APS‐Carbon CH4 0 70.09 0.698
TMA‐APS‐Carbon CH4 0 80.07 0.756
TMA‐APS‐Carbon CH4 0 90.18 0.810
TMA‐APS‐Carbon CH4 0 99.84 0.864
TMA‐APS‐Carbon N2 0 1.36 0.007
TMA‐APS‐Carbon N2 0 2.77 0.013
TMA‐APS‐Carbon N2 0 4.97 0.023
TMA‐APS‐Carbon N2 0 9.89 0.042
TMA‐APS‐Carbon N2 0 19.82 0.079
TMA‐APS‐Carbon N2 0 30.03 0.114
TMA‐APS‐Carbon N2 0 39.93 0.147
TMA‐APS‐Carbon N2 0 50.06 0.177
PhD Thesis Shamsur Rahman 263
TMA‐APS‐Carbon N2 0 60.05 0.206
TMA‐APS‐Carbon N2 0 70.04 0.234
TMA‐APS‐Carbon N2 0 80.04 0.261
TMA‐APS‐Carbon N2 0 90.06 0.287
TMA‐APS‐Carbon N2 0 99.99 0.315
Carbon‐E‐TMAY1 CH4 0 1.38 0.030
Carbon‐E‐TMAY1 CH4 0 2.63 0.050
Carbon‐E‐TMAY1 CH4 0 4.87 0.084
Carbon‐E‐TMAY1 CH4 0 9.74 0.155
Carbon‐E‐TMAY1 CH4 0 19.65 0.286
Carbon‐E‐TMAY1 CH4 0 30.10 0.411
Carbon‐E‐TMAY1 CH4 0 40.05 0.520
Carbon‐E‐TMAY1 CH4 0 49.97 0.620
Carbon‐E‐TMAY1 CH4 0 60.11 0.715
Carbon‐E‐TMAY1 CH4 0 69.94 0.800
Carbon‐E‐TMAY1 CH4 0 80.08 0.883
Carbon‐E‐TMAY1 CH4 0 90.09 0.958
Carbon‐E‐TMAY1 CH4 0 100.04 1.029
Carbon‐E‐TMAY1 CH4 30 1.28 0.014
Carbon‐E‐TMAY1 CH4 30 2.75 0.025
Carbon‐E‐TMAY1 CH4 30 4.90 0.039
Carbon‐E‐TMAY1 CH4 30 9.86 0.072
Carbon‐E‐TMAY1 CH4 30 19.78 0.134
Carbon‐E‐TMAY1 CH4 30 30.10 0.196
Carbon‐E‐TMAY1 CH4 30 40.14 0.252
Carbon‐E‐TMAY1 CH4 30 50.12 0.305
Carbon‐E‐TMAY1 CH4 30 60.01 0.356
Carbon‐E‐TMAY1 CH4 30 70.13 0.405
Carbon‐E‐TMAY1 CH4 30 80.07 0.450
Carbon‐E‐TMAY1 CH4 30 90.08 0.494
Carbon‐E‐TMAY1 CH4 30 100.11 0.537
Carbon‐E‐TMAY1 N2 0 1.34 0.009
Carbon‐E‐TMAY1 N2 0 2.80 0.012
Carbon‐E‐TMAY1 N2 0 5.66 0.020
Carbon‐E‐TMAY1 N2 0 10.00 0.033
Carbon‐E‐TMAY1 N2 0 19.85 0.059
Carbon‐E‐TMAY1 N2 0 29.95 0.085
Carbon‐E‐TMAY1 N2 0 40.14 0.111
Carbon‐E‐TMAY1 N2 0 49.95 0.136
Carbon‐E‐TMAY1 N2 0 60.05 0.160
Carbon‐E‐TMAY1 N2 0 70.05 0.183
Carbon‐E‐TMAY1 N2 0 80.05 0.206
Carbon‐E‐TMAY1 N2 0 90.04 0.228
PhD Thesis Shamsur Rahman 264
Carbon‐E‐TMAY1 N2 0 100.02 0.250
Carbon‐E‐TMAY1 N2 30 1.38 0.006
Carbon‐E‐TMAY1 N2 30 2.90 0.008
Carbon‐E‐TMAY1 N2 30 5.72 0.011
Carbon‐E‐TMAY1 N2 30 9.94 0.017
Carbon‐E‐TMAY1 N2 30 19.88 0.031
Carbon‐E‐TMAY1 N2 30 29.99 0.044
Carbon‐E‐TMAY1 N2 30 39.92 0.057
Carbon‐E‐TMAY1 N2 30 50.09 0.070
Carbon‐E‐TMAY1 N2 30 60.07 0.083
Carbon‐E‐TMAY1 N2 30 70.10 0.095
Carbon‐E‐TMAY1 N2 30 80.01 0.107
Carbon‐E‐TMAY1 N2 30 90.04 0.120
Carbon‐E‐TMAY1 N2 30 100.04 0.131
E7 – Data table for all experimental isotherm data presented in Chapter 4
Table E7. Data table for all experimental isotherm data presented in Chapter 4
Adsorbent Gas Temperature (°C) Pressure (bar) Quantity Adsorbed (mol/kg)
NaY N2 0 0.03 0.000
NaY N2 0 1.50 0.098
NaY N2 0 2.96 0.198
NaY N2 0 4.59 0.325
NaY N2 0 6.05 0.422
NaY N2 0 7.69 0.518
NaY N2 0 9.15 0.607
NaY N2 0 10.52 0.703
NaY N2 0 12.05 0.810
NaY N2 0 13.54 0.896
NaY N2 0 15.11 0.993
NaY N2 0 16.70 1.066
NaY N2 0 18.23 1.153
NaY N2 0 19.79 1.270
NaY N2 0 21.24 1.356
NaY N2 0 22.76 1.451
NaY N2 0 24.36 1.519
NaY N2 0 25.89 1.597
NaY N2 0 27.50 1.668
NaY N2 0 28.94 1.752
NaY N2 0 30.52 1.846
NaY N2 0 32.04 1.933
NaY N2 0 33.63 1.980
PhD Thesis Shamsur Rahman 265
NaY N2 0 35.06 2.022
NaY N2 15 0.04 0.006
NaY N2 15 1.53 0.096
NaY N2 15 3.10 0.158
NaY N2 15 4.64 0.229
NaY N2 15 6.28 0.294
NaY N2 15 7.66 0.369
NaY N2 15 9.12 0.426
NaY N2 15 10.59 0.481
NaY N2 15 12.18 0.540
NaY N2 15 13.66 0.602
NaY N2 15 15.14 0.691
NaY N2 15 16.73 0.756
NaY N2 15 18.25 0.808
NaY N2 15 19.77 0.883
NaY N2 15 21.32 0.979
NaY N2 15 22.88 1.022
NaY N2 15 24.41 1.076
NaY N2 15 25.87 1.145
NaY N2 15 27.43 1.219
NaY N2 15 28.87 1.268
NaY N2 15 30.36 1.304
NaY N2 15 31.86 1.331
NaY N2 15 33.40 1.391
NaY N2 15 34.86 1.472
NaY N2 15 36.39 1.508
NaY N2 30 1.68 0.057
NaY N2 30 3.21 0.108
NaY N2 30 4.71 0.145
NaY N2 30 6.30 0.209
NaY N2 30 7.77 0.263
NaY N2 30 9.30 0.319
NaY N2 30 10.77 0.381
NaY N2 30 12.39 0.416
NaY N2 30 14.03 0.468
NaY N2 30 15.63 0.528
NaY N2 30 17.29 0.545
NaY N2 30 18.87 0.601
NaY N2 30 20.46 0.656
NaY N2 30 22.08 0.670
NaY N2 30 23.67 0.720
NaY N2 30 25.18 0.734
NaY N2 30 26.69 0.740
PhD Thesis Shamsur Rahman 266
NaY N2 30 28.24 0.787
NaY N2 30 29.74 0.791
NaY N2 30 31.29 0.800
NaY N2 30 32.76 0.864
NaY N2 30 34.38 0.874
NaY N2 30 35.88 0.892
NaY N2 30 37.48 0.906
NaY N2 30 39.07 0.929
NaY N2 30 40.61 0.970
NaY N2 30 42.15 0.981
NaY N2 30 43.71 0.993
C‐R2030 N2 0 0.03 0.002
C‐R2030 N2 0 1.11 0.465
C‐R2030 N2 0 2.32 0.837
C‐R2030 N2 0 3.48 1.108
C‐R2030 N2 0 4.82 1.378
C‐R2030 N2 0 6.08 1.603
C‐R2030 N2 0 7.29 1.797
C‐R2030 N2 0 8.72 1.996
C‐R2030 N2 0 10.03 2.174
C‐R2030 N2 0 11.49 2.339
C‐R2030 N2 0 12.86 2.490
C‐R2030 N2 0 14.22 2.631
C‐R2030 N2 0 15.70 2.773
C‐R2030 N2 0 17.08 2.896
C‐R2030 N2 0 18.54 3.022
C‐R2030 N2 0 20.02 3.140
C‐R2030 N2 0 21.42 3.243
C‐R2030 N2 0 22.93 3.358
C‐R2030 N2 0 24.45 3.462
C‐R2030 N2 0 25.98 3.564
C‐R2030 N2 0 27.50 3.659
C‐R2030 N2 0 29.19 3.777
C‐R2030 N2 0 30.75 3.872
C‐R2030 N2 0 32.17 3.953
C‐R2030 N2 0 33.71 4.034
C‐R2030 N2 0 35.21 4.094
C‐R2030 N2 15 1.20 0.367
C‐R2030 N2 15 2.45 0.668
C‐R2030 N2 15 3.65 0.899
C‐R2030 N2 15 4.87 1.113
C‐R2030 N2 15 6.34 1.332
C‐R2030 N2 15 7.62 1.507
PhD Thesis Shamsur Rahman 267
C‐R2030 N2 15 8.89 1.656
C‐R2030 N2 15 10.17 1.799
C‐R2030 N2 15 11.54 1.952
C‐R2030 N2 15 12.99 2.089
C‐R2030 N2 15 14.46 2.225
C‐R2030 N2 15 15.97 2.342
C‐R2030 N2 15 17.38 2.446
C‐R2030 N2 15 18.88 2.545
C‐R2030 N2 15 20.40 2.646
C‐R2030 N2 15 21.92 2.736
C‐R2030 N2 15 23.48 2.824
C‐R2030 N2 15 25.02 2.915
C‐R2030 N2 15 26.53 2.982
C‐R2030 N2 15 28.09 3.059
C‐R2030 N2 15 29.57 3.137
C‐R2030 N2 15 30.86 3.185
C‐R2030 N2 15 32.42 3.262
C‐R2030 N2 15 33.87 3.320
C‐R2030 N2 15 35.34 3.368
C‐R2030 N2 30 1.24 0.266
C‐R2030 N2 30 2.64 0.517
C‐R2030 N2 30 4.05 0.746
C‐R2030 N2 30 5.37 0.915
C‐R2030 N2 30 6.70 1.083
C‐R2030 N2 30 8.00 1.218
C‐R2030 N2 30 9.62 1.378
C‐R2030 N2 30 10.95 1.512
C‐R2030 N2 30 12.44 1.622
C‐R2030 N2 30 13.92 1.730
C‐R2030 N2 30 15.46 1.835
C‐R2030 N2 30 16.99 1.938
C‐R2030 N2 30 18.55 2.026
C‐R2030 N2 30 20.06 2.123
C‐R2030 N2 30 21.61 2.197
C‐R2030 N2 30 23.05 2.269
C‐R2030 N2 30 24.56 2.337
C‐R2030 N2 30 26.13 2.414
C‐R2030 N2 30 27.71 2.479
C‐R2030 N2 30 29.14 2.534
C‐R2030 N2 30 30.57 2.584
C‐R2030 N2 30 32.09 2.640
C‐R2030 N2 30 32.10 2.633
C‐R2030 N2 30 32.09 2.638
PhD Thesis Shamsur Rahman 268
C‐R2030 N2 30 33.57 2.685
C‐R2030 N2 30 35.07 2.715
CEZ N2 0 1.21 0.556
CEZ N2 0 2.38 1.010
CEZ N2 0 3.61 1.413
CEZ N2 0 4.89 1.733
CEZ N2 0 6.14 2.053
CEZ N2 0 7.40 2.304
CEZ N2 0 8.68 2.551
CEZ N2 0 9.95 2.765
CEZ N2 0 11.52 3.011
CEZ N2 0 12.96 3.203
CEZ N2 0 14.36 3.387
CEZ N2 0 15.84 3.548
CEZ N2 0 17.26 3.728
CEZ N2 0 18.78 3.876
CEZ N2 0 20.30 4.017
CEZ N2 0 21.84 4.151
CEZ N2 0 23.31 4.296
CEZ N2 0 24.77 4.373
CEZ N2 0 26.27 4.498
CEZ N2 0 27.75 4.620
CEZ N2 0 29.25 4.709
CEZ N2 0 30.80 4.779
CEZ N2 0 32.29 4.901
CEZ N2 0 33.76 5.004
CEZ N2 0 35.26 5.086
CEZ N2 0 36.81 5.183
CEZ N2 0 38.30 5.276
CEZ N2 0 39.76 5.328
CEZ N2 0 41.29 5.385
CEZ N2 0 42.87 5.430
CEZ N2 0 43.74 5.342
CEZ N2 0 45.23 5.456
CEZ N2 0 46.10 5.364
CEZ N2 0 47.52 5.414
CEZ N2 0 48.32 5.351
CEZ N2 0 49.84 5.446
CEZ N2 0 50.63 5.479
CEZ N2 0 52.12 5.536
CEZ N2 0 52.84 5.580
CEZ N2 0 54.36 5.574
CEZ N2 0 55.08 5.599
PhD Thesis Shamsur Rahman 269
CEZ N2 0 56.56 5.662
CEZ N2 0 57.33 5.645
CEZ N2 0 58.84 5.675
CEZ N2 0 59.63 5.634
CEZ N2 0 60.94 5.711
CEZ N2 0 61.65 5.659
CEZ N2 0 62.73 5.637
CEZ N2 0 63.24 5.623
CEZ N2 0 64.18 5.594
CEZ N2 15 1.27 0.426
CEZ N2 15 2.54 0.783
CEZ N2 15 3.80 1.111
CEZ N2 15 5.20 1.421
CEZ N2 15 6.56 1.680
CEZ N2 15 7.90 1.903
CEZ N2 15 9.22 2.107
CEZ N2 15 10.54 2.299
CEZ N2 15 12.06 2.485
CEZ N2 15 13.56 2.630
CEZ N2 15 14.96 2.776
CEZ N2 15 16.38 2.914
CEZ N2 15 17.90 3.048
CEZ N2 15 19.39 3.149
CEZ N2 15 20.90 3.247
CEZ N2 15 22.41 3.347
CEZ N2 15 23.94 3.445
CEZ N2 15 25.44 3.544
CEZ N2 15 26.86 3.614
CEZ N2 15 28.32 3.680
CEZ N2 15 29.74 3.790
CEZ N2 15 31.19 3.841
CEZ N2 15 32.78 3.903
CEZ N2 15 34.18 3.985
CEZ N2 15 35.70 4.042
CEZ N2 15 37.17 4.079
CEZ N2 15 38.75 4.060
CEZ N2 15 40.26 4.122
CEZ N2 15 41.77 4.098
CEZ N2 15 43.34 4.130
CEZ N2 15 44.19 4.085
CEZ N2 15 45.74 4.118
CEZ N2 15 46.50 4.141
CEZ N2 15 47.90 4.219
PhD Thesis Shamsur Rahman 270
CEZ N2 15 48.62 4.216
CEZ N2 15 50.13 4.308
CEZ N2 15 50.95 4.257
CEZ N2 15 52.43 4.341
CEZ N2 15 53.20 4.343
CEZ N2 15 54.74 4.320
CEZ N2 15 55.51 4.268
CEZ N2 15 57.04 4.269
CEZ N2 15 57.82 4.232
CEZ N2 15 59.13 4.236
CEZ N2 15 59.80 4.186
CEZ N2 15 61.18 4.163
CEZ N2 15 61.91 4.067
CEZ N2 15 62.81 4.036
CEZ N2 15 63.24 3.985
CEZ N2 15 63.77 3.938
CEZ N2 15 64.03 3.845
CEZ N2 30 1.35 0.328
CEZ N2 30 2.69 0.606
CEZ N2 30 4.16 0.890
CEZ N2 30 5.50 1.113
CEZ N2 30 6.80 1.305
CEZ N2 30 8.10 1.495
CEZ N2 30 9.39 1.641
CEZ N2 30 10.78 1.803
CEZ N2 30 12.27 1.950
CEZ N2 30 13.79 2.093
CEZ N2 30 15.30 2.196
CEZ N2 30 16.82 2.331
CEZ N2 30 18.25 2.432
CEZ N2 30 19.73 2.527
CEZ N2 30 21.25 2.615
CEZ N2 30 22.74 2.710
CEZ N2 30 24.28 2.792
CEZ N2 30 25.84 2.869
CEZ N2 30 27.27 2.956
CEZ N2 30 28.84 3.027
CEZ N2 30 30.30 3.075
CEZ N2 30 31.86 3.129
CEZ N2 30 33.41 3.144
CEZ N2 30 34.95 3.212
CEZ N2 30 36.54 3.245
CEZ N2 30 38.12 3.296
PhD Thesis Shamsur Rahman 271
CEZ N2 30 39.73 3.316
CEZ N2 30 41.32 3.347
CEZ N2 30 42.79 3.345
CEZ N2 30 44.31 3.373
CEZ N2 30 45.13 3.317
CEZ N2 30 46.70 3.358
CEZ N2 30 47.53 3.320
CEZ N2 30 49.01 3.280
CEZ N2 30 49.69 3.314
CEZ N2 30 51.26 3.279
CEZ N2 30 52.04 3.230
CEZ N2 30 53.57 3.268
CEZ N2 30 54.35 3.240
CEZ N2 30 55.95 3.182
CEZ N2 30 56.72 3.147
CEZ N2 30 58.09 3.127
CEZ N2 30 58.81 3.038
CEZ N2 30 60.24 2.999
CEZ N2 30 60.93 2.992
CEZ N2 30 62.13 2.921
CEZ N2 30 62.72 2.838
CEZ N2 30 63.22 2.828
CEZ N2 30 63.81 2.736
CEZ N2 30 64.08 2.635
NaY CH4 0 1.11 0.664
NaY CH4 0 2.17 1.251
NaY CH4 0 3.37 1.805
NaY CH4 0 4.63 2.260
NaY CH4 0 5.97 2.662
NaY CH4 0 7.26 2.963
NaY CH4 0 8.79 3.263
NaY CH4 0 10.15 3.502
NaY CH4 0 11.65 3.748
NaY CH4 0 13.16 3.960
NaY CH4 0 14.59 4.130
NaY CH4 0 16.09 4.339
NaY CH4 0 17.51 4.507
NaY CH4 0 18.94 4.643
NaY CH4 0 20.50 4.779
NaY CH4 0 22.06 4.933
NaY CH4 0 23.51 5.083
NaY CH4 0 24.92 5.239
NaY CH4 0 26.35 5.334
PhD Thesis Shamsur Rahman 272
NaY CH4 0 27.80 5.461
NaY CH4 0 29.33 5.587
NaY CH4 0 30.70 5.696
NaY CH4 0 31.81 5.776
NaY CH4 0 32.77 5.872
NaY CH4 0 33.77 5.963
NaY CH4 0 34.65 6.001
NaY CH4 15 1.33 0.497
NaY CH4 15 2.54 0.905
NaY CH4 15 3.83 1.285
NaY CH4 15 5.21 1.636
NaY CH4 15 6.53 1.912
NaY CH4 15 7.91 2.160
NaY CH4 15 9.48 2.395
NaY CH4 15 10.86 2.593
NaY CH4 15 12.40 2.771
NaY CH4 15 13.96 2.948
NaY CH4 15 15.49 3.101
NaY CH4 15 16.93 3.248
NaY CH4 15 18.37 3.367
NaY CH4 15 19.96 3.479
NaY CH4 15 21.43 3.598
NaY CH4 15 22.99 3.719
NaY CH4 15 24.53 3.814
NaY CH4 15 26.11 3.908
NaY CH4 15 27.58 4.004
NaY CH4 15 29.14 4.103
NaY CH4 15 30.67 4.210
NaY CH4 15 31.86 4.281
NaY CH4 15 32.99 4.347
NaY CH4 15 33.95 4.382
NaY CH4 15 34.61 4.391
NaY CH4 30 1.38 0.259
NaY CH4 30 2.90 0.515
NaY CH4 30 4.43 0.708
NaY CH4 30 5.91 0.872
NaY CH4 30 7.30 1.012
NaY CH4 30 8.71 1.136
NaY CH4 30 10.04 1.246
NaY CH4 30 11.60 1.363
NaY CH4 30 13.12 1.487
NaY CH4 30 14.59 1.566
NaY CH4 30 16.07 1.660
PhD Thesis Shamsur Rahman 273
NaY CH4 30 17.66 1.743
NaY CH4 30 19.24 1.855
NaY CH4 30 20.79 1.944
NaY CH4 30 22.27 2.014
NaY CH4 30 23.85 2.099
NaY CH4 30 25.41 2.175
NaY CH4 30 27.03 2.243
NaY CH4 30 28.60 2.318
NaY CH4 30 30.04 2.378
NaY CH4 30 31.45 2.444
NaY CH4 30 32.71 2.432
NaY CH4 30 33.74 2.439
NaY CH4 30 34.57 2.446
C‐R2030 CH4 0 0.65 0.839
C‐R2030 CH4 0 1.48 1.440
C‐R2030 CH4 0 2.45 1.917
C‐R2030 CH4 0 3.54 2.316
C‐R2030 CH4 0 4.79 2.683
C‐R2030 CH4 0 6.17 3.002
C‐R2030 CH4 0 7.60 3.293
C‐R2030 CH4 0 8.89 3.492
C‐R2030 CH4 0 10.19 3.692
C‐R2030 CH4 0 11.62 3.867
C‐R2030 CH4 0 12.97 4.040
C‐R2030 CH4 0 14.44 4.197
C‐R2030 CH4 0 15.96 4.345
C‐R2030 CH4 0 17.48 4.489
C‐R2030 CH4 0 18.91 4.600
C‐R2030 CH4 0 20.43 4.734
C‐R2030 CH4 0 21.97 4.853
C‐R2030 CH4 0 23.40 4.955
C‐R2030 CH4 0 24.82 5.049
C‐R2030 CH4 0 26.39 5.158
C‐R2030 CH4 0 27.83 5.253
C‐R2030 CH4 0 29.36 5.340
C‐R2030 CH4 0 30.65 5.421
C‐R2030 CH4 0 31.81 5.473
C‐R2030 CH4 0 32.95 5.527
C‐R2030 CH4 0 33.95 5.569
C‐R2030 CH4 0 34.67 5.577
C‐R2030 CH4 15 0.04 0.001
C‐R2030 CH4 15 0.75 0.735
C‐R2030 CH4 15 1.75 1.298
PhD Thesis Shamsur Rahman 274
C‐R2030 CH4 15 2.77 1.700
C‐R2030 CH4 15 3.92 2.041
C‐R2030 CH4 15 5.09 2.339
C‐R2030 CH4 15 6.30 2.577
C‐R2030 CH4 15 7.55 2.802
C‐R2030 CH4 15 8.84 3.005
C‐R2030 CH4 15 10.07 3.166
C‐R2030 CH4 15 11.46 3.334
C‐R2030 CH4 15 12.95 3.505
C‐R2030 CH4 15 14.36 3.640
C‐R2030 CH4 15 15.87 3.784
C‐R2030 CH4 15 17.41 3.912
C‐R2030 CH4 15 18.75 4.019
C‐R2030 CH4 15 20.25 4.131
C‐R2030 CH4 15 21.68 4.219
C‐R2030 CH4 15 23.10 4.322
C‐R2030 CH4 15 24.68 4.400
C‐R2030 CH4 15 26.20 4.480
C‐R2030 CH4 15 27.65 4.558
C‐R2030 CH4 15 29.10 4.617
C‐R2030 CH4 15 30.40 4.673
C‐R2030 CH4 15 31.51 4.734
C‐R2030 CH4 15 32.67 4.759
C‐R2030 CH4 15 33.66 4.788
C‐R2030 CH4 15 34.20 4.788
C‐R2030 CH4 30 0.87 0.632
C‐R2030 CH4 30 1.91 1.100
C‐R2030 CH4 30 3.00 1.438
C‐R2030 CH4 30 4.25 1.775
C‐R2030 CH4 30 5.52 2.045
C‐R2030 CH4 30 6.89 2.283
C‐R2030 CH4 30 8.23 2.484
C‐R2030 CH4 30 9.56 2.659
C‐R2030 CH4 30 10.89 2.812
C‐R2030 CH4 30 12.32 2.972
C‐R2030 CH4 30 13.84 3.114
C‐R2030 CH4 30 15.41 3.235
C‐R2030 CH4 30 16.94 3.329
C‐R2030 CH4 30 18.39 3.437
C‐R2030 CH4 30 19.81 3.545
C‐R2030 CH4 30 21.40 3.618
C‐R2030 CH4 30 22.97 3.719
C‐R2030 CH4 30 24.53 3.799
PhD Thesis Shamsur Rahman 275
C‐R2030 CH4 30 26.11 3.866
C‐R2030 CH4 30 27.69 3.923
C‐R2030 CH4 30 29.17 4.009
C‐R2030 CH4 30 30.50 4.026
C‐R2030 CH4 30 31.58 4.052
C‐R2030 CH4 30 32.58 4.108
C‐R2030 CH4 30 33.57 4.100
CEZ CH4 0 0.04 0.004
CEZ CH4 0 0.95 0.892
CEZ CH4 0 1.92 1.615
CEZ CH4 0 2.97 2.203
CEZ CH4 0 4.23 2.742
CEZ CH4 0 5.42 3.143
CEZ CH4 0 6.70 3.466
CEZ CH4 0 8.05 3.762
CEZ CH4 0 9.61 4.040
CEZ CH4 0 10.97 4.251
CEZ CH4 0 12.48 4.440
CEZ CH4 0 13.89 4.613
CEZ CH4 0 15.32 4.763
CEZ CH4 0 16.80 4.919
CEZ CH4 0 18.35 5.071
CEZ CH4 0 19.91 5.209
CEZ CH4 0 21.33 5.334
CEZ CH4 0 22.87 5.458
CEZ CH4 0 24.41 5.592
CEZ CH4 0 25.99 5.704
CEZ CH4 0 27.58 5.764
CEZ CH4 0 29.00 5.918
CEZ CH4 0 30.27 5.987
CEZ CH4 0 31.53 6.026
CEZ CH4 0 32.55 6.091
CEZ CH4 15 0.04 0.004
CEZ CH4 15 1.14 0.755
CEZ CH4 15 2.29 1.374
CEZ CH4 15 3.58 1.917
CEZ CH4 15 4.85 2.332
CEZ CH4 15 6.08 2.699
CEZ CH4 15 7.34 2.984
CEZ CH4 15 8.57 3.237
CEZ CH4 15 10.14 3.497
CEZ CH4 15 11.54 3.693
CEZ CH4 15 13.07 3.888
PhD Thesis Shamsur Rahman 276
CEZ CH4 15 14.59 4.047
CEZ CH4 15 16.11 4.192
CEZ CH4 15 17.53 4.337
CEZ CH4 15 19.04 4.436
CEZ CH4 15 20.51 4.518
CEZ CH4 15 22.09 4.637
CEZ CH4 15 23.67 4.759
CEZ CH4 15 25.26 4.831
CEZ CH4 15 26.76 4.886
CEZ CH4 15 28.29 4.974
CEZ CH4 15 29.65 5.032
CEZ CH4 15 30.89 5.058
CEZ CH4 15 31.99 5.090
CEZ CH4 15 32.98 5.103
CEZ CH4 15 33.51 5.086
CEZ CH4 15 33.76 5.071
CEZ CH4 15 33.90 5.026
CEZ CH4 15 33.98 4.965
CEZ CH4 15 34.02 4.911
CEZ CH4 30 1.17 0.591
CEZ CH4 30 2.33 1.062
CEZ CH4 30 3.67 1.520
CEZ CH4 30 4.94 1.877
CEZ CH4 30 6.35 2.177
CEZ CH4 30 7.58 2.464
CEZ CH4 30 9.10 2.715
CEZ CH4 30 10.71 2.907
CEZ CH4 30 12.20 3.090
CEZ CH4 30 13.63 3.255
CEZ CH4 30 15.17 3.414
CEZ CH4 30 16.65 3.520
CEZ CH4 30 18.25 3.604
CEZ CH4 30 19.70 3.710
CEZ CH4 30 21.15 3.791
CEZ CH4 30 22.74 3.867
CEZ CH4 30 24.19 3.911
CEZ CH4 30 25.78 3.993
CEZ CH4 30 27.25 4.048
CEZ CH4 30 28.75 4.084
CEZ CH4 30 30.19 4.093
CEZ CH4 30 31.27 4.133
CEZ CH4 30 32.31 4.118
CEZ CH4 30 33.12 4.111
PhD Thesis Shamsur Rahman 277
CEZ CH4 30 33.52 4.095
CEZ CH4 30 33.75 4.038
CEZ CH4 30 33.87 3.976
CEZ CH4 30 33.91 3.952
CEZ CH4 30 33.97 3.876
CEZ CH4 30 33.98 3.833
CEZ CH4 30 33.97 3.808
CEZ CH4 30 33.97 3.774
CEZ CH4 30 33.99 3.700
CEZ CH4 30 34.01 3.607
PhD Thesis Shamsur Rahman 278
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