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Center for Exploitation of Solar Energy & Department of Chemistry, University of Copenhagen Smart Materials & Structures, Las vegas, 15-17.6.2015 Tetrathiafulvalene-Fused Radiaannulenes and -Extended Tetrathiafulvalenes Towards New Electrochromic Materials Mogens Brøndsted Nielsen
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Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Jan 10, 2022

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Page 1: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Center for Exploitation of Solar Energy &

Department of Chemistry, University of Copenhagen

Smart Materials & Structures, Las vegas, 15-17.6.2015

Tetrathiafulvalene-Fused Radiaannulenes and -Extended Tetrathiafulvalenes

– Towards New Electrochromic Materials

Mogens Brøndsted Nielsen

Page 2: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Electrochromic Materials

- Reversibly changing color by electrochemical redox reactions

Page 3: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...
Page 4: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

…. Redox-active molecules

Electrochromic Materials

- On/off switching of NIR absorptions?

Optical attenuator: device used to reduce the power level of an optical signal,

usually working by absorbing the light

Telecommunication industry: wavelengths of 1300 and 1550 nm

Both anodically and cathodically NIR-coloring materials are ideally needed

-Conjugated organic molecules

Page 5: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Wurster’s Blue

Wurster redox system: aromatic in reduced form

Blue color

N

N

N

N

N

N

- e

+ e

- e

+ e

Mixed Valence (MV)

fully delocalized

Page 6: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Tetrathiafulvalene (TTF)

S

S

S

S

S

S

S

S

S

S

S

S

TTF

- e

+ e

- e

+ eS S

S S

Mixed Valence (MV)

fully delocalized

Weitz redox system: aromatic in oxidized form

Page 7: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Tetrathiafulvalene

Some applications of TTF:

e-

e-

e-

Mixed valence

conduction

TTF / TTF•+

Properties can be tuned byintroduction of -spacer orsubstituents R

S

S

S

S

S

S

S

S

S

S

S

S

TTF

- e

+ e

- e

+ eS S

S S

Mixed Valence (MV)

fully delocalized

• Redox-active unit in supramolecular chemistry… molecular sensors, switches, and devices

• Redox-active unit in molecular electronics

• Mixed valence (TTF/TTF•+) organic conductors

• Electrochromic materials

Page 8: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Tetrathiafulvalene (TTF)

S

S

S

S

S

S

S

S

S

S

S

S

TTF

- e

+ e

- e

+ eS S

S S

Mixed Valence (MV)

fully delocalized

312 (369) nm

580 nm

390 nm

Page 9: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Radical Cation Absorptions

S

S S

S

S

S S

SMeS

MeS

SMe

SMe

S S

S S+

+

+

M.-B.S. Kirketerp, L.A.E. Leal, D. Varsano,A. Rubio, T.J.D. Jørgensen, K. Kilså,M.B. Nielsen, S.B. Nielsen, Chem. Commun. 2011, 47, 6900-6902.

Page 10: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Robin and Day Classification of Two-Center Redox Systems

Class III Cyclic Voltammogram

D D D DD D- e

+ e

- e

+ e

+ 2+Class III: Eox > 0.2 V

fully delocalized

Mixed Valence (MV)

Page 11: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Robin and Day Classification of Two-Center Redox Systems

Class I Class III Cyclic Voltammogram

D D

D D D DD D

Eox = Eox2 Eox1

- 2e

+ 2e

- e

+ e

- e

+ e

+ 2+

Class I: D

Class III:

D 2+ Eox ≈ 0 V (35 mV)

Eox > 0.2 V

Mixed Valence (MV)

fully delocalized

Page 12: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Robin and Day Classification of Two-Center Redox Systems

D D

D D D D D

D D D DD D

Eox = Eox2 Eox1

- 2e

- e

+ e

+ 2e

- e

+ e

- e

+ e

- e

+ e

+D

+ 2+

2+

Class I: D

Class II:

Class III:

D 2+ Eox ≈ 0 V (35 mV)

Eox ≈ 0 - 0.2 V

Eox > 0.2 V

Mixed Valence (MV)

fully delocalized

Class I Class III Cyclic Voltammogram

Page 13: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Electronic coupling: None

Potential Energy Surfaces for Electron Transfer in MV Systems

J. Hankache, O. S. Wenger, Chem. Rev. 2011, 111, 5138-5178.

Class IIClass I Class III

Weak

Broad NIR absorption

Strong

Narrow NIR absorption

Page 14: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Intermolecular MV Species – TTFTTF+

Figure 4. Spectral changes attendant upon the addition of neutral TTF to

the 5.8 mM solution of TTF+•CB- in CH2Cl2 at 22 C. TTF concentration

(bottom to top): 0, 44, 88, 141, 200, and 250 mM. Inset: Linear dependence

of ln KCT on 1/T.

S. V. Rosokha, J. K. Kochi, J. Am. Chem. Soc. 2007, 129, 828-838.

[TTF•TTF+]:

Kas = 6.0 M-1

Class II:

(2310 x max)1/2 = FWHM

Page 15: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

[TTF+•TTF+]:

Kas = 0.6 M-1

Figure 2. Temperature-dependent absorption of 1.3 mM solutions of

TTF+•CB- in acetone, showing reversible interconversion between the

electronic spectrum of the monomer M (prevailing at room temperature)

and the dimer D (at low temperature). Temperature (in C, from bottom to

top at 740 nm): 22, - 40, - 55, - 63, - 70, - 78, - 85, and - 90. Inset:

Low-energy range of the absorption at high concentrations of TTF+·CB-

(λ ) 2 mm, 22 C). Concentration of TTF+•CB- (in mM, bottom to top):

0, 4.7, 6.2, 9.3, 13, and 19.

S. V. Rosokha, J. K. Kochi, J. Am. Chem. Soc. 2007, 129, 828-838.

-Dimer of Two TTF Radical Cations

Page 16: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

D D

S

S S

S S

S S

S

SS

S S

• Redox properties?

• Optical properties of oxidized species?

• Interactions between redox centers?

Outline

Page 17: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Tetrathiafulvalene (TTF) – Acetylene Macrocycles

S

S

S

S

S

S

S

SEtS

EtS SEt

SEt

iPr3Si SiiPr3

S

S S

S

S S

S S

SS

RR

R

RR

R iPr3Si SiiPr3

TTF-Radiaannulene

Cross-conjugated cyclic core

S S

TTF-Dehydroannulene

Linearly conjugated cyclic core

How do the TTFs interact?

Page 18: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Synthesis of TTF-Dehydroannulenes

A. S. Andersson, K. Kilså, T. Hassenkam, J.-P. Gisselbrecht, C. Boudon, M. Gross,M. B. Nielsen, F. Diederich, Chem. Eur. J. 2006, 12, 8451.

K. Lincke, M. A. Christensen, F. Diederich, M. B. Nielsen, Helv. Chim. Acta 2011, 94, 1743-1753.

by Hay Couplings

S

S S

S

S

S

S S

S

SS

S

RR

R

R R

R

R = Pr, Hex, SEt

S

S

S

S

R

R

45-70%

Si(i-Pr)3

Si(i-Pr)3

1) Bu4NF, THF

S

S

S

S

R

R

2) CuCl, TMEDA

CH2Cl2, air

Page 19: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

No - stacking interactions

The molecule does not seem either to associate in solution

X-Ray Crystal Structure

Page 20: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

-0.50 -0.25 0.00 0.50 0.75 1.00

-4.0x10-5

-2.0x10-5

0.0

2.0x10-5

4.0x10-5

6.0x10-5

Cu

rre

nt

(A)

0.25

Potential (V)

Electrochemistry

S

S

S

S

S

SS

S

EtS SEt

S S

S S

SEt

SEtEtS

EtS

CH2Cl2 + 0.1 M Bu4NPF6

+1 +3

+6

Page 21: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Spectroelectrochemistry

M M+

M3+

M6+

MV absorption

CH2Cl2 + 0.1 M Bu4NPF6

S

S S

S

S

S

S

SS

S

EtS SEt

S S

SEt

SEtEtS

EtS

Page 22: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

S

SS

S

S

S S

S

EtS

EtS SEt

SEt

(i-Pr)3Si Si(i-Pr)3

Si(i-Pr)3(i-Pr)3Si

S

S

S

SEtS

EtS I

I

(i-Pr)3Si Si(i-Pr)3

Pd(PPh3)4, CuI

iPr2NH10%

Synthesis of TTF-Radiaannulene

K. Lincke, A. F. Frellsen, C. R. Parker, A. D. Bond,O. Hammerich, M. B. Nielsen, Angew. Chem. 2012,

51, 6099-6102 .

by Sonogashira Couplings

A fused Weitz/Wurster-type redox system has been prepared by fusing a central

expanded radiaannulene core with two tetrathiafulvalene units. The system

formally gains H ! ckel aromaticity by either oxidation (6p-dithiolium units) or

reduction (14p-octadehydroannulene unit) and can exist in several redox states

with characteristic UV/Vis/IR absorptions. More about this system can be found in

the Communication by M. Brøndsted Nielsen and co-workers (DOI : 10.1002/

anie.201202324).

Page 23: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Size exclusion chromatography

SS

S

S

S

SS

S

Si(i-Pr)3(i-Pr)3Si

(i-Pr)3Si Si(i-Pr)3

EtS

EtS

SE

t

SE

t

Si(i-Pr)3(i-Pr)3Si

S

SS

S

EtS

EtSS

S

S

S SEt

SEt

Si(i-Pr)3(i-Pr)3Si

Si(i-Pr)3(i-Pr)3Si

MALDI MS

Page 24: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

-3 -2 -1 0 1

-0.04

-0.02

0.00

-0.04

0.02

-0.02

0.00

-0.06

0.02

-0.04

-0.02

0.00

0.02

0.04-3 -2 -1 0 1

E/V

5

I/A

8

9

S

SS

S

S

S S

S

EtS

EtS SEt

SEt

(i-Pr)3Si Si(i-Pr)3

Si(i-Pr)3(i-Pr)3Si

S

SS

S

S

S S

S

EtS

EtS SEt

SEt

Si(i-Pr)3(i-Pr)3Si

S

S

S

SEtS

EtSSi(i-Pr)3

Si(i-Pr)3

Cyclic Voltammograms

+1+2

+2

+4

+1

+2

+4

Page 25: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

9000 8000 7000 4000 3000 2000 1000

A

6000 5000

/cm-1

Neutral

Monocation

2250 2200 2100 2050

A

2150

/cm-1

7000

/nm

2000

FWHM = 2131 cm-1

Theory – Class II:

(2310 x max)1/2 = 3125 cm-1

Spectroelectrochemistry

S

SS

S

S

S S

S

EtS

EtS SEt

SEt

(i-Pr)3Si Si(i-Pr)3

Si(i-Pr)3(i-Pr)3Si

Radical cation: low-energy MV absorption

Page 26: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Si(i-Pr)3(i-Pr)3Si

S S

S S

BuS

BuS

S S

S S

SBu

SBu

S

S

S

S

BuS

BuS

S S

S S

SBu

SBu

Si(i-Pr)33(i-Pr) Si

S S

S S

BuS

BuS

S S

S S

SBu

SBu

Spectroelectrochemisty of Bis-TTFs

M M+M2+

MV absorptionMV absorption

MV absorption: short distance or cyclic structure

BJOC 2015, 11, 930-948.

Page 27: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

-2 0 1-1

V vs Fc+/Fc

Cyclic voltammogram:

+1

+2

+4

-2

Mixed valence state:

max ca. 2250 nm

Neutral core: NICS()zz = -8.4 ppm

Dianion core: NICS()zz = -33.2 ppm

Gain in aromaticity (Wurster type)

6 redox statesS S

S S

S S

S SEtS

EtS SEt

SEt

(i-Pr)3Si Si(i-Pr)3

Si(i-Pr)3(i-Pr)3Si

-1

0

14

K. Lincke, A. F. Frellsen, C. R. Parker, A. D. Bond,O. Hammerich, M. B. Nielsen, Angew. Chem. Int. Ed.

2012, 51, 6099-6102 .

Hückel 4n+2

Page 28: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

300 500 900 1100

A

700

/nm

Neutral

Monoanion

Neutral regenerated

Spectroelectrochemistry – Generation of Monoanion

S

SS

S

S

S S

S

EtS

EtS SEt

SEt

(i-Pr)3Si Si(i-Pr)3

Si(i-Pr)3(i-Pr)3Si

CT(neutral

compound)

Page 29: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

S S

S

SS

S

S S

S

SS

S

SEtEtS

SEt

SEt

EtS

EtS

BC

E / eV (electrochemistry)

S S

S S

EtS

EtS

S S

S S

SEt

SEt

Si(i-Pr)3(i-Pr)3Si

Si(i-Pr)3(i-Pr)3Si

A

(i-Pr)3Si Si(i-Pr)3

S

SS

S S

SS

S

EtS

EtS SEt

SEt

HOMO-LUMO Gap Comparison of Neutral Compounds

1.9

1.85

1.8

1.75

1.7

1.65

1.6

1.55

1.5

1.45

1.4

1.4 1.45 1.5 1.55 1.6 1.65 1.7 1.75 1.8 1.85 1.9

E

/eV

(U

V-V

is)

A

B

C

HOMO

LUMO

ABC

Page 30: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

D D

SS

S S

• Redox properties?

• Optical properties of oxidized species?

• Interactions between redox centers?

Outline

S

S S

S S

S S

S

Page 31: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

CH2Cl2 + 0.1 M NBu4PF6

Potentials vs Fc+/Fc

-0.25 0.00 0.25 0.75 1.00 1.25

-5.0x10-5

0.0

5.0x10-5

Curr

en

t (A

)

0.50

Potential (V)

ox

10 cycles

E = +0.72 V

Me3Si SiMe3

S

S

CO2Me

SMeO2C

CO2MeS

MeO2C

Me3Si SiMe3

S

S

CO2Me

SMeO2C

CO2MeS

MeO2C

Me

Me

Electrochemistry – Cyclic Voltammetry

Independent

redox centers

(Class I)

J. Am. Chem. Soc. 2014, 47, 16497−16507.

Page 32: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

S S

S S

R R

RR'

S S

S S

R R

R R

- 2e

+ 2e

F.G. Brunetti, J.L. López, C. Atienza, N. Martín,J. Mater. Chem. 2012, 22, 4188-4205.

Potential Inversion

E2 < E1

Page 33: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

C. A. Christensen,A. S. Batsanov, M. R. Bryce, J. Am. Chem. Soc. 2006, 128, 10484-10490.

Rigid Cyclophane

Intermediate radical cation

Page 34: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Extended TTFs

S

S S

S

TTF

S S

S S

S

S

S

S S

S

S

S

TTF2+S S

R R

RR

S S

S S

R R

R R

S S

S S

S S

S S

S S

S S

TTF +

S S

Intermediate?

Fully delocalized?

Indenofluorene-extended TTF

Page 35: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

S S

S S

BuS SBu

O

BuS SBu

S S

SBuBuS

O

O

SS

S

BuS

BuS

P(OEt)3, 23%

S

S

BuS

BuS

O

P(OMe)2

NaHMDS, THF

69%

Synthesis ofIndenofluorene-Extended TTF

J. Mater. Chem. 2014, 2, 10428-10438.

Page 36: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

0.8 0.6 0.4 0.2 0.0 -0.2

-30

-20

-10

10

20

ic-1/(

Am

M-1)

E/V 1.2 1.0

-10

-8

-6

-4

00

-2

2

4

i(

A)

0.8 0.6

E (V vs. Ag)

CH2Cl2 (0.1 M Bu4NPF6); Potentials vs Fc+/Fc

1 mM

0.06 mM

21 oC

-5.5 oC

0.25 mM

Cyclic Voltammetry

Concentrationdependence

21

16

10

3.5

-5.5

Temperature dependence

0.4 0.2

Intermolecular interactions

S S

S S

S S

S S

S S

S S

BuS SBu

BuS SBu

BuS SBu

BuS SBu

BuS SBu

BuS SBu

- e

+ e

- e

+ e

Page 37: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

-30

-25

-20

-15

-10

-5

0

5

10

15

i/

A

0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0.0 -0.1

E/V

experimental

simulated

d2+ + e- c·+

c·+ + e- n

[c-c]2+ + e- [n-c]·+

[n-c]·+ + e- [n-n]

c·+ + c·+ n + d2+

c·+ + n [n-c]·+

[n-c]·+ + c·+ [c-c]2+ + n

[n-c]·+ + d2+ [c-c]2+ + c·+

c·+ + c·+ [c-c]2+

n + n [n-n]

redox-1

redox-2

redox-3

redox-4

Eq.-1

Eq.-2

Eq.-3

Eq.-4

Eq.-5

Eq.-6

n + [n-c]·+c·+ + [n-n]Eq.-7

c·+ + [n-c]·+d2+ + [n-n]Eq.-8

S S

SBu

Complexes:

neutral – neutral

neutral – cation

cation – cation

BuS

n

Simulation ofCyclic Voltammogram

S S

BuS

c+

SBu

S S

BuS

d2+

SBu

BuS SBu BuS SBu BuS SBu

S S S S S S

Page 38: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Spectroelectrochemistry

Relative intensities of low-energy

absorptions are concentration dependent

M M+M2+

/ nm

J. Mater. Chem. 2014, 2, 10428-10438.

Page 39: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

M M+M2+

M+

M:M+

M+:M+

M+

M+:M+

S S

S S

BuS SBu

BuS SBu

Spectroelectrochemistry

MV Dimer:Kas = 7.8 x 104 M-1

-Dimer:Kas = 1.8 x 104 M-1

[TTF•TTF+]: Kas = 6.0 M-1

[TTF+•TTF+]: Kas = 0.6 M-1

S. V. Rosokha, J. K. Kochi, J. Am. Chem. Soc. 2007, 129, 828-838

After 10% conversion

After 90% conversion

Page 40: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Ottle cell

Progression from yellow to blue solution upon oxidation

(neutral to dication)

Page 41: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Electrocrystallization

Solvent: PhCl + counter electrolyte

S S

EtS SEt

S S

SEtEtS

a) b) c)

Cation•TaF6

Cation•PF6 Cation•Dication•(BF4)1.5 Cation•TaF6

J. Mater. Chem. 2014, 2, 10428-10438.

Page 42: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Conductances of Salts S S

S S

EtS SEt

SEtEtS

IFTTF

semiconductors

Page 43: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

CAN WE ENHANCE THE CATION ASSOCIATIONS?

Page 44: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Incorporation of Fused Thiophene Units

S

S

BuS

BuS

O

P(OMe)2

S

S

S

S

S

BuS

SBu

S

SBu

SBu

S

S

O

O

S

SS

S

S

S

BuS

SBu

BuS

SBu

S

S

O

O

SS

S

S

RSS

SR SR

SRSO O

NaHMDS, THF

65%

R = Et (67%) R = Bu (64%)

S

S

BuS

BuS

O

P(OMe)2

NaHMDS, THF

40%

S

S

RS

RS

O

P(OMe)2

NaHMDS, THF

RSC Adv. 2015, 5, 49748-49751.

Page 45: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

SS

S S

S

BuS

SBu SBu

SBu

Differential Pulse Voltammograms

S

SS

S

S

S

BuS

SBu

BuS

SBu

S

S

S

S

S

S

BuS

SBu

SBu

MV Dimer:

Kas = 1.8 x 104 M-1

-Dimer:

Kas = 2.8 x 103 M-1

Associations increase

(by one order

of magnitude)

SBu

RSC Adv. 2015, 5, 49748-49751.

Page 46: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

SS

S S

S

BuS

SBu SBu

SBu

Differential Pulse Voltammograms

Oxidation Potentials

+0.14 V, +0.31 V

+0.32 V, +0.60 V

+0.09 V, +0.33 VS

S

S

S

S

S

BuS

SBu

SBu

SBu

S

SS

S

S

S

BuS

SBu

BuS

SBu

Linear conjugation

Cross-conjugation

(weakest donor)

Page 47: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

SS

S

S

BuS S

SBu SBu

SBu

S

SS

S

S

S

BuS

SBu

SBu

S

S

S

S

S

S

BuS

BuS

SBu

SBu

SBu

Spectroelectrochemistry M M+M2+

Page 48: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

Conclusions

S

S

S

S

S

SS

S

R R

S S

R

RR

R

S S

S S

S S

S SEtS

EtS SEt

SEt

iPr3Si SiiPr3

S S

TTF-Acetylene Macrocycles

Strong charge-transfer chromophores

Multiple redox states with distinct optical properties – molecules can both be oxidized and reduced

Interactions between TTFs are enforced

in the cyclic structures in comparison

to acyclic ones (MV absorptions of radical cations)

S S

S S

BuS SBu

SBuBuS

Indenofluorene-Extended TTFs

Strong associations between cations- Tectons for self-assembly

Broad UV-Vis-NIR absorptions

Thiophene units enhance donor strength

significantly when redox centers are

connected in linearly conjugated

pathway

S

S

S

S

S

S

BuS

SBu

SBu

SBu

iPr3Si SiiPr3

Combined Weitz and Wurster type redox system

Page 49: Tetrathiafulvalene-Fused Radiaannulenes and -Extended ...

University of Copenhagen:

Past and present group members:

Dr. Christian R. Parker

Dr. Mikkel A. Christensen

Dr. Karsten JennumDr. Marco Santella

Dr. Kasper Lincke

Dr. Søren Lindbæk Broman Dr. Virginia MazzantiPeter Bæch Abrahamsen

Emil GlibstrupMads Mansø

Huixin Jiang

Anders F. Frellsen

Cecilie L. Andersen

Prof. O. HammerichProf. Henrik G. Kjaergaard

Assoc. Prof. Thomas J. SørensenDr. Eduardo Della PiaDr. Theis Brock-NannestadT. J. Morsing

University of Oregon:

Prof. Michael M. Haley Gabriel E. Rudebusch

Acknowledgements

Villum Foundation