Introduction Chapter-1 1 Introduction and historical overview Research on liquid crystal has been involved in chemistry, physics, Biology, electric and electronic engineering and many other fields. Most of this research has been reported by the universities and research institutions. The study of liquid crystals began in 1888 by Australian Botanist F. Reinitzer [1]. Liquid crystal materials are unique in their properties and uses. As research into this field continues and as new applications are developed, liquid crystals will play an important role in modern technology. What are Liquid Crystals? The term ‘Liquid Crystals’ seems to be a self-contradiction as it suggest that a substance is in two quite different state of matter at the same time. The two most common states of condensed matter are the isotropic liquid phase and the crystalline solid phase. In a crystal, the molecules or atoms have both orientational and three-dimensional positional order over a long range. In an isotropic liquid, however, the molecules have neither positional nor orientational order, they are distributed randomly. There is no degree of order, so three degrees of freedom are left. There is no preferred direction in a liquid, thus the name isotropic. The transition from one state to another normally occurs at a very precise temperature. When pure crystalline solid is heated beyond its melting temperature, it undergoes a single transition to isotropic liquid. e.g. ice-water is such a common phase transition. There are, however many organic compound that do not immediately transform to liquid phase when heated beyond the melting temperature but exhibit more than a single transition from solid to liquid showing the existence of one or more intermediate phases, exhibiting the properties of both solids and liquids. For examples p-azoxy anisole when heated does not transform into the liquid state but adopts structure (turbid condition) that is both birefringence and fluid the consistency varying with different compounds that of a paste to that of a freely flowing liquid.
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Introduction Chapter-1
1
Introduction and historical overview
Research on liquid crystal has been involved in chemistry, physics, Biology,
electric and electronic engineering and many other fields. Most of this research has been
reported by the universities and research institutions. The study of liquid crystals began in
1888 by Australian Botanist F. Reinitzer [1]. Liquid crystal materials are unique in their
properties and uses. As research into this field continues and as new applications are
developed, liquid crystals will play an important role in modern technology.
What are Liquid Crystals?
� The term ‘Liquid Crystals’ seems to be a self-contradiction as it suggest that a
substance is in two quite different state of matter at the same time.
� The two most common states of condensed matter are the isotropic liquid phase
and the crystalline solid phase.
� In a crystal, the molecules or atoms have both orientational and three-dimensional
positional order over a long range.
� In an isotropic liquid, however, the molecules have neither positional nor
orientational order, they are distributed randomly. There is no degree of order, so
three degrees of freedom are left. There is no preferred direction in a liquid, thus
the name isotropic.
� The transition from one state to another normally occurs at a very precise
temperature. � When pure crystalline solid is heated beyond its melting temperature, it undergoes
a single transition to isotropic liquid. e.g. ice-water is such a common phase
transition. � There are, however many organic compound that do not immediately transform to
liquid phase when heated beyond the melting temperature but exhibit more than a
single transition from solid to liquid showing the existence of one or more
intermediate phases, exhibiting the properties of both solids and liquids. � For examples p-azoxy anisole when heated does not transform into the liquid state
but adopts structure (turbid condition) that is both birefringence and fluid the
consistency varying with different compounds that of a paste to that of a freely
flowing liquid.
Introduction Chapter-1
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� Transitions are definite and precisely reversible. � Materials undergoing such a phase transitions are called ‘Liquid Crystals’ [2].
History of liquid crystals
The discovery of liquid crystals is thought to have occurred nearly 150 years ago
although its significance was not fully realized until over a hundred years later. Around
the middle of the last century Virchow[3], Mettenheimer et al.[4] have found that the
nerve fiber they were studying formed a fluid substance when left in water which
exhibited a strange behaviour when viewed using polarized light. They did not realize
this was a different phase but they are attributed with the first observation of liquid
crystals. Later, in 1877, Further investigations of this phenomenon were carried out by
the German physicist O. Lehmann [5] who observed and confirmed, using the first
polarized optical microscope designed by himself, the existence of "crystals [which] can
exist with a softness that one could call them nearly liquid". He found that one substance
would change from a clear liquid to a cloudy liquid before crystallising but thought that
this was simply an imperfect phase transition from liquid to crystalline. The first reported
Introduction Chapter-1
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documentation of the LC state was through an accidental observation by an Austrian
botanist, Friedrich Reinitzer [1] in 1888, working in the Institute of Plant Physiology at
the University of Prague. He observed “double melting" behaviour of cholesteryl
benzoate. The crystals of this material melted at 145.5 oC into a cloudy fluid, which upon
further heating to 178.5oC became clear. This discovery represented the first recorded
documentation of the LC phase. He was the first to suggest that this cloudy fluid was a
new phase of matter. He has consequently been given the credit for the discovery of the
liquid crystalline phase. Puzzled by his discovery, Reinitzer turned for help to the
German physicist Otto Lehmann, who was an expert in crystal optics. Lehmann became
convinced that the cloudy liquid had a unique kind of order. In contrast, the transparent
liquid at higher temperature had the characteristic disordered state of all common liquids.
Eventually he realized that the cloudy liquid was a new state of matter and coined the
name "liquid crystal," illustrating that it was something between a liquid and a solid,
sharing important properties of both. In a normal liquid the properties are isotropic, i.e.
the same in all directions. In a liquid crystal they are not; they strongly depend on
direction even if the substance itself is fluid. That new types of liquid crystalline states of
order were discovered. Up till 1890 all the liquid crystalline substances that had been
investigated naturally occurring and it was then that the first synthetic liquid crystal, p-
azoxyanisole, was produced by Gatterman and Ritschke. Subsequently more liquid
crystals were synthesized and it is now possible to produce liquid crystals with specific
predetermined material properties.
Maier and Saupe [6] formulated a microscopic theory of liquid crystals, Frank and
later Leslie and Ericksen developed continuum theories for static and dynamic systems
and in 1968 scientists from RCA first demonstrated a liquid crystal display [7]. The
interest in liquid crystals has grown ever since, partly due to the great variety of
phenomena exhibited by liquid crystals and partly because of the enormous commercial
interest and importance of liquid crystal displays.
Today, thanks to Reinitzer, Lehmann and their followers, we know that literally
thousands of substances have a diversity of other states. Some of them have been found
very usable in several technical innovations, among which liquid crystal screens and
liquid crystal thermometers may be the best known. In the 1960s, a French theoretical
Introduction Chapter-1
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physicist, Pierre-Gilles de Gennes, who had been working with magnetism and
superconductivity, turned his interest to liquid crystals and soon found fascinating
analogies between liquid crystals and superconductors as well as magnetic materials. His
work was rewarded with the Nobel Prize in Physics 1991. The modern development of
liquid crystal science has since been deeply influenced by the work of Pierre-Gilles de
Gennes [8].
This new idea was challenged by the scientific community, and some scientists
claimed that the newly-discovered state probably was just a mixture of solid and liquid
components. But between 1910 and 1930 conclusive experiments and early theories
supported the liquid crystal concept at the same time. In 1922 the French scientist G.
Friedel produced the first classification scheme of LCs [9], dividing them into three
different types of mesogens (materials able to sustain mesophases), based upon the level
of order the molecules possessed in the bulk material:
1.nematic (from the Greek word nematos meaning "thread"),
2.Smectic (from the Greek word smectos meaning "soap"), and
3.Cholesteric (better defined as Chiral nematic)[10].
Following these first observations and discoveries, the scientific research turned
attention towards a growing number of compounds, which displayed liquid crystalline
properties. In order to establish a relationship between the molecular structure and the
exhibition of liquid crystalline properties, a series of systematic modifications of the
structures of mesogens was undertaken, leading, in 1973 [11], to the discovery of the
most technologically and commercially important class of LCs to date: the 4-alkyl-4'-
cyanobiphenyl (CB) of which an example, 4-pentyl-4'-cyanobiphenyl (5CB) 1 is
illustrated in Figure 1.
Figure 1
Figure 1. Molecular structure of 4-pentyl-4'-cyanobiphenyl (5CB) 1. (The transition
temperatures are expressed in oC).
Introduction Chapter-1
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These are the materials, which still constitute the simple common displays found
in calculators or mobile phones. However, the numerous and increasingly sophisticated
applications, relying upon the use of liquid crystalline materials, require such a
complexity of superior properties to achieve improved devices performance, that the
quest for ever new LCs has grown enormously over the last three decades. Nowadays,
LCs play a dominant role in a large part of the display technology.
Liquid crystal is solid or liquid ?
It is sometimes difficult to determine whether a material is in a crystal or liquid
crystal state. The amount of energy required to cause the phase transition is called latent
heat of the transition and is useful to measure of how different the two phases are. In the
case of cholesteryl myristate, the latent heat of solid to liquid crystal is 65 calories/gram,
while the latent heat for liquid crystal to liquid transition is 7 calories/gram. These
numbers allow us to answer the question posed earlier. The smallness the latent heat of
liquid crystal to liquid phase transition is evidence that liquid crystal are more similar to
liquids than they are to solids. when a solid melts to a liquid crystal, it loses most of the
order it had and retains only a bit more order than a liquid possesses. This small amount
of order is then lost at the liquid crystal to liquid phase transition. The fact that liquid
crystals are similar to liquids with only a small amount of additional order, is the key to
understanding many physical properties that make them nature’s most delicate state of
matter [12].
Order Parameter
To quantify just how much order is present in a material, an order parameter (S) is defined. Traditionally, the order parameter is given as follows:
where theta is the angle between the director and the long axis of each molecule. The
brackets denote an average over all of the molecules in the sample. In an isotropic liquid,
Introduction Chapter-1
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the average of the cosine terms is zero, and therefore the order parameter is equal to zero.
For a perfect crystal, the order parameter evaluates to one. Typical values for the order
parameter of a liquid crystal range between 0.3 and 0.9, with the exact value a function of
temperature, as a result of kinetic molecular motion. This is illustrated below for a
nematic liquid crystal material.
The tendency of the liquid crystal molecules to point along the director leads to a
condition known as anisotropy. This term means that the properties of a material depend
on the direction in which they are measured. For example, it is easier to cut a piece of
wood along the grain than against it. The anisotropic nature of liquid crystals is
responsible for the unique optical properties exploited by scientists and engineers in a
variety of applications.
Types of LCs
Smectic
(Two dimensional order)
Nemetic
(One dimensional order)
Cholesteric
(Chosterol-derivatives)
(Helical structure)
Thermotropic Liquid crystals
(Non-amphiphilic)
Lyotrophic Liquid crystals
(Amphiphilic)
Liquid Crystals
Ordered fluid mesophase
(Solid-like liquids)
Plastic Crystals
Disordered Crystal mesophase
(Liquid-like solid)
Mesomorphic State
Introduction Chapter-1
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Different types of molecules can form liquid crystalline phases. The common
structural feature is that these molecules are form anisotropic: one molecular axis is much
longer or wider than another one. The two major categories are:
1.Thermotropic LCs, whose mesophase formation is temperature (T) dependent, and
2. Lyotropic LCs, whose mesophase formation is concentration and solvent dependent.
Lyotropic LCs
Lyotropic LCs are two-component systems where an amphiphile is dissolved in a
solvent. In blends of different components phase transitions may also depend on
concentration and these liquid crystals are called lyotropic. Thus, lyotropic mesophases
are concentration and solvent dependent. The amphiphilic compounds are characterised
by two distinct moieties, a hydrophilic polar "head" and a hydrophobic "tail". Examples
of these kinds of molecules are soaps (Figure 2 a) and various phospholipids like those
present in cell membranes [13-15] (Figure 2 b).
Figure 2. Chemical structure and cartoon representation of (a) sodium dodecylsulfate
(soap) forming micelles, and (b) a phospholipids (lecitine), present in cell membranes, in
texture. After these textures the nematic phase was named, as “nematic” Photo courtesy
of Ingo Dierking.
Introduction Chapter-1
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On optical examination of a nematic, one rarely sees the idealized equilibrium
configuration. Some very prominent structural perturbation appear as threads from which
nematics take their name. These threads are analogous to dislocations in solids and have
been termed disclinations by Frank.
Several typical textures of nematics are shown in Fig. (8). The first one is a
schlieren texture of a nematic film. This picture was taken under a polarization
microscope with polarizer and analyzer crossed. From every point defect emerge four
dark brushes. For these directions the director is parallel either to the polarizer or to the
analyzer. The colors are newton colors of thin films and depend on the thickness of the
sample. Point defects can only exist in pairs. One can see two types of boojums with
“opposite sign of topological charge”; one type with yellow and red brushes, the other
kind not that colorful. The difference in appearance is due to different core structures for
these defects of different “charge”.
The second texture is a thin film on isotropic surface. Here the periodic stripe
structure is a spectacular consequence of the confined nature of the film. It is a result of
the competition between elastic inner forces and surface anchoring forces. The surface
anchoring forces want to align the liquid crystals parallel to the bottom surface and
perpendicular to the top surface of the film. The elastic forces work against the resulting
“vertical” distortions of the director field. When the film is sufficiently thin, the lowest
energy state is surprisingly archived by “horizontal” director deformations in the plane of
the film. The current picture shows a 1-dimensional periodic pattern.
Many compounds are known to form nematic mesophase. A few typical examples
are sketched in Fig. (9). From a steric point of view, molecules are rigid rods with the
breadth to width ratio from 3:1 to 20:1.
Introduction Chapter-1
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Figure 9: Typical compounds forming nematic mesophases: (PAA) p-azoxyanisole. From
a rough steric point of view, this is a rigid rod of length 20°A and width 5°A. The
nematic state is found at high temperatures (between 1160C and 1350C at atmospheric
pressure). (MMBA) N-(p-methoxybenzylidene)-p-butylaniline. The nematic state is
found at room temperatures (between 200C to 470C). Lacks chemical stability. (5CB) 4-
pentyl-4’-cyanobiphenyl. The nematic state is found at room temperatures (between 24°C
and 35°C).
Biaxial nematic
A biaxial nematic is a spatially homogeneous liquid crystal with three distinct
optical axes. This is to be contrasted to a simple nematic, which has a single preferred
axis, around which the system is rotationally symmetric. The symmetry group of a biaxial
nematic is D2h i.e. that of a rectangular right parallelepiped, having 3 orthogonal C2 axes
and three orthogonal mirror planes. In a frame co-aligned with optical axes the second
rank order parameter tensor of a biaxial nematic has the form
Where S is the standard nematic scalar order parameter T a measure of the biaxiality.
The first report of a biaxial nematic appeared in 2004 [34, 35] based on a boomerang
shaped oxadiazole bent-core mesogen. The biaxial nematic phase for this particular
compound only occurs at temperatures around 200°C and is preceded by as yet
unidentified smectic phases.
It is also found that this material can segregate into chiral domains of opposite
handedness [36] for this to happen the boomerang shaped molecules adopt a helical
superstructure.
Introduction Chapter-1
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In one azo bent-core mesogen as shown below in which a thermal transition is
found from a uniaxial Nu to a biaxial nematic Nb mesophase [37]. This transition is
observed on heating from the Nu phase with Polarizing optical microscopy as a change in
Schlieren texture and increased light transmittance and from x-ray diffraction as the
splitting of the nematic reflection. The transition is a second order with low energy
content and therefore not observed in differential scanning calorimetry. The positional
order parameter for the uniaxial nematic phase is 0.75 to 1.5 times the mesogen length
and for the biaxial nematic phase 2 to 3.3 times the mesogen length.
Another strategy towards biaxial nematic is the use of mixtures of classical rod
like mesogens and disk like discotic mesogens. The biaxial nematic phase is expected to
be located below the minimum in the rod-disk phase diagram. In one study [38] a
miscible system of rods and disks is actually found although the biaxial nematic phase
remains elusive.
Smectic phases[39-43]
The word "Smectic" is derived from the Greek word for soap. This seemingly
ambiguous origin is explained by the fact that the thick, slippery substance often found at
the bottom of a soap dish is actually a type of smectic liquid crystal. Molecules in this
phase show a degree of translational order not present in the nematic. Smectic phase
(Liquid Crystal) retain a two dimensional order. In the smectic phase the layer of the
molecules are quite flexible.
Smectic phase gives focal conic texture. It extends all over the specimen and
when examined under polarised light it gives a fan-like appearance. It is unaffected by
magnetic and electric fields. A number of different type of smectic liquid crystals are
known which differ from each other in the way of layer formation. The increased order
means that the smectic state is more "solid-like" than the nematic. Smectic – A, B, C, D,
E, F, G, H, I. A number of different classes of smectics have been recognized.
Introduction Chapter-1
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Figure 10. Cartoon representation of (a) the SmA phase, and (b) the SmC phase.
In Smectic A: It has a layer structure inside the layers, the molecules are parallel their
long axes perpendicular to the plane. These are optically uniaxial and hence homeotropic
texture extinguishes light between crossed polarizes. It gives focal conic texture (or
batonnets).
Smectic-C: (Titled)
Smectic –C phase is closely related to Smectic-A phase. Smectic-C is a tilted (as
shown above) from Smectic-A. The major difference between the two is the tilt (inclined)
of the molecular long axes with respect to the layers. This phase is optically biaxial.
(Monoclinic symmetry) therefore, it is impossible to have homeotropic texture. It exhibit
schlieren texture. It can also form focal conic texture. Broken fan shaped texture. In this
phase the molecules are tilted with respect to the layers, and the system is now "biaxial"
in character
An example of a molecular structure displaying a smectic mesophase is given by
the quaterphenyl derivative [44] illustrated in Figure.11, where the presence of such an
extended aromatic core, characterised by a large phenyl (ph) system, is responsible for
the establishment of lateral stacking interactions between adjacent molecules, resulting in
a layered organisation (SmA and SmC).
Introduction Chapter-1
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Cr1 Cr2 Cr3 Cr4 SmC SmA I123 166 180 293 324 327
Figure.11 4,4"'-Bis-nonyloxy-[1,1';4',1";4",1''']quaterphenyl 2 exhibiting SmA and SmC
phases. (The transition temperatures are expressed in oC).
In general a smectic, when placed between glass slides, does not assume the
simple form. The layers, preserving their thickness, become distorted and can slide over
one another in order to adjust to the surface conditions. The optical properties (focal
conic texture) of the smectic state arise from these distortions of the layers. Typical
textures formed by smectics are shown in Fig. (12) [45].
(a) (b) (c)
Figure 12: (a,b) Focal-conic fan texture of a smectic A liquid crystal (courtesy of Chandrasekhar S., Krishna Prasad and Gita Nair) (c) Focal-conic fan texture of a chiral smectic C liquid crystal. Smectic C* (Chiral) - Ferroelectric
The nematic and Smectic-A (SmA) liquid crystal phases are too symmetric to
allow any vector order, such as ferroelectricity. The tilted smectics, however, do allow
ferroelectricity if they are composed of chiral molecules. The pictures below show the
original ferroelectric LC[46-53], DOBAMBC.
In the simplest case, the Smectic-C (SmC), the average long molecular axis is
tilted from the layer normal z by a fixed angle but the molecules are free to rotate on the
so-defined tilt cone. The phase has a C2 symmetry axis perpendicular to both the
Introduction Chapter-1
18
molecular director and the layer normal. The molecules exhibit a net spontaneous
polarization along this axis. The magnitude of the polarization depends on temperature,
generally decreasing as the tilt angle goes to zero at the SmC-SmA phase transition. The
following figure shows the geometry of the chiral SmC phase.
Figure 13: Chiral SmC phase:
Ferroelectric liquid crystals (FLCs) also exhibit a sponteneous helixing of the
polarization, so that over macroscopic distances (a few microns, say) the polarization
averages to zero.
Since the coupling of the polarization to applied fields is linear in the field, this
means that FLCs can be made to switch quickly (typically within a few microseconds)
and in a bipolar manner. This makes FLCs ideally suited to electrooptic applications.
FLCs are now included in several display technologies [52, 54-57], the most popular of
which use the surface stabilized (SSFLC) geometry.
Surface-Stabilized Ferroelectric Liquid Crystals
Although the molecular director in bulk ferroelectric
liquid crystals (FLCs) adopts a helical structure, Noel
Clark and Sven Lagerwall found in 1980 that by
confining the LC material between closely-spaced
glass plates (spaced closer than the ferroelectric helix
pitch), the natural helix could be suppressed. This
principle is illustrated in the polarized micrograph above, where helix lines are largely
absent in the thinner (upper right) part of the cell. Clark and Lagerwall found that the
smectic layers were oriented approximately perpendicular to the glass. Furthermore, they
discovered that such cells could be switched rapidly between two optically distinct, stable
states simply by alternating the sign of an applied electric field. The electro-optic
Introduction Chapter-1
19
properties of an SSFLC depend strongly on the layer geometry as well as on the nature of
the orienting properties of the bounding glass plates [53,54]. SSFLCs are being studied in
many research laboratories throughout the world. They form the basis for the
development of optical shutters, phase plates, and of high-resolution color displays.
Antiferroelectric LCs
Antiferroelectric liquid crystals are similar to ferroelectric
liquid crystals, although the molecules tilt in an opposite
sense in alternating layers as show in figure. In consequence,
the layer-by-layer polarization points in opposite directions.
These materials are just beginning to find their way into
devices, as they are fast, and devices can be made
"bistable"[58-64].
Cholesteric Phases (Chiral nematic)
The cholesteric (or chiral nematic) liquid crystal phase is typically composed of
nematic mesogenic molecules containing a chiral center which produces intermolecular
forces that favour alignment between molecules at a slight angle to one another[65-72].
This leads to the formation of a structure which can be visualized as a stack of very thin
2-D nematic-like layers with the director in each layer twisted with respect to those above
and below. In this structure, the directors actually form in a continuous helical pattern
about the layer normal as illustrated by the black arrow in the following figure and
animation. The black arrow in the animation represents director orientation in the
succession of layers along the stack.
Introduction Chapter-1
20
Nematic Chiral Nematic
Fig.14 The molecules shown are merely representations of the many chiral nematic mesogens lying in the slabs of infinitesimal thickness with a distribution of orientation around the director. The phase was first observed in cholesterol derivatives, hence it is known as cholesteric phase.
Various colour changes can be observed by winding or unwinding the helix. This
can be done by means of changing temperature, mechanical disturbance like pressure or
shear. Liquid Crystals of this type is mostly optically active. The cholesteric liquid
crystals are optically uniaxial with negative character, it can scatter the light to give
bright colour and it shows strong rotalory power. Three type of texture are generally
observed in cholesteric phases. 1. Focal conic texture 2. Planar texture and
3. Blue phase (N*-Phase).
Pitch:
An important characteristic of the cholesteric mesophase is the pitch. The pitch, p,
is defined as the distance it takes for the director to rotate one full turn in the helix as
illustrated in the above animation. A byproduct of the helical structure of the chiral
nematic phase, is its ability to selectively reflect light of wavelengths equal to the pitch
length, so that a color will be reflected when the pitch is equal to the corresponding
wavelength of light in the visible spectrum. The effect is based on the temperature
dependence of the gradual change in director orientation between successive layers
(illustrated above), which modifies the pitch length resulting in an alteration of the
wavelength of reflected light according to the temperature. The angle at which the
Introduction Chapter-1
21
director changes can be made larger and thus tighten the pitch, by increasing the
temperature of the molecules, hence giving them more thermal energy. Similarly,
decreasing the temperature of the molecules increases the pitch length of the chiral
nematic liquid crystal.
This makes it possible to build a liquid crystal thermometer that displays the
temperature of its environment by the reflected color. Mixtures of various types of these
liquid crystals are often used to create sensors with a wide variety of responses to
temperature change. Such sensors are used for thermometers often in the form of heat
sensitive films to detect flaws in circuit board connections, fluid flow patterns, condition
of batteries, the presence of radiation or in novelties such as "mood" rings.
Figure 15: (a) Cholesteric fingerprint texture. The line pattern is due to the helical
structure of the cholesteric phase, with the helical axis in the plane of the substrate. Photo
courtesy of Ingo Dierking. (b) A short-pitch cholesteric liquid crystal in Grandjean or
standing helix texture, viewed between crossed polarizers. The bright colors are due to
the difference in rotatory power arising from domains with different cholesteric pitch
occuring on rapid cooling close to the smectic A* phase where the pitch strongly diverges
with decreasing temperature. Photo courtesy of Per Rudqvist. (c) Long-range orientation
Introduction Chapter-1
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of cholesteric liquid crystalline DNA mesophases occurs at magnetic field strengths
exceeding 2 Tesla. The image presented above illustrates this long-range order in DNA
solutions approaching 300 milligrams per milliliter. Parallel lines denoting the periodicity
of the cholesteric mesophase appear at approximately 45-degrees from the axis of the
image boundaries.
Discotic LCs
In 1977, a second type of mesogenic structure, based on discotic (disc-shaped)
molecular structures was discovered. The first series of discotic compounds to exhibit
mesophase belonged to the hexa-substituted benzene derivatives 1 (Figure 16)
synthesised by S. Chandrasekhar et al. [73-76]
Figure 16. Molecular structure of the first series of discotic LCs discovered: the benzene-
hexa-n-alkanoate derivatives.
Similarly to the calamitic LCs, discotic LCs possess a general structure
comprising a planar (usually aromatic) central rigid core surrounded by a flexible
periphery, represented mostly by pendant chains (usually four, six, or eight), as illustrated
in the cartoon representation in Figure 17. As can be seen, the molecular diameter (d) is
much greater than the disc thickness (t), imparting the form anisotropy to the molecular
structure[77-85].
Figure 17. Cartoon representation of the general shape of discotic LCs, where d>>t.
Introduction Chapter-1
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Discotic LCs, as well as calamitic LCs, can show several types of mesophases, with
varying degree of organisation. The two principle mesophases are:
1. Nematic discotic and
2. Columnar.
Nematic discotic phase
Nematic discotic (ND) is the least ordered mesophase [77], where the molecules
have only orientational order being aligned on average with the director as illustrated in
figure 18. There is no positional order.
Figure 18. Cartoon representation of the ND phase, where the molecules are aligned in
the same orientation, with no additional positional ordering.
Columnar phases
Disk-shaped mesogens can orient themselves in a layer-like fashion known as the
discotic nematic phase. If the disks pack into stacks, the phase is called a discotic
columnar. The columns themselves may be organized into rectangular or hexagonal
arrays [86], see Fig. (21).
Introduction Chapter-1
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Chiral discotic phases, similar to the chiral nematic phase, are also known . The columnar
phase is a class of liquid-crystalline phases in which molecules assemble into cylindrical
Figure 20: Typical discotics: derivative of a hexabenzocoronene and 2,3,6,7,10,11- hexakishexyloxytriphenylene. K(70K) Colh(100K) I.
Originally, these kinds of liquid crystals were called discotic liquid crystals
because the columnar structures are composed of flat-shaped discotic molecules stacked
one-dimensionally. Since recent findings provide a number of columnar liquid crystals
consisting of non-discoid mesogens, it is more common now to classify this state of
matter and compounds with these properties as columnar liquid crystals.
Figure 21: (1) Columnar phase formed by the disc-shaped molecules and the most common arrangements of columns in two-dimensional lattices: (a) hexagonal, (b)
Introduction Chapter-1
25
rectangular, and (c) herringbone. (2,3) MD simulation results: snapshot of the hexabenzocoronene system with the C12 side chains. Aromatic cores are highlighted. Both top and side views are shown. T = 400 K, P = 0.1MPa. [78]
Columnar liquid crystals are grouped by their structural order and the ways of
packing of the columns. Nematic columnar liquid crystals have no long-range order and
are less organized than other columnar liquid crystals. Other columnar phases with long-
range order are classified by their two-dimensional lattices: hexagonal, tetragonal,
rectangular, and oblique phases. The discotic nematic phase includes nematic liquid
crystals composed of flat-shaped discotic molecules without long-range order. In this
phase, molecules do not form specific columnar assemblies but only float with their short
axes in parallel to the director (a unit vector which defines the liquid-crystalline
alignment and order).
In the years following the discovery of the first discotic mesogens, further
investigations lead to the synthesis of a vast number of new discotic LCs [87-98]
Figure 22. Molecular structure of some discotic mesogens: 2,3,6,7,10,11-