Liquid Crystal Research
Chromonic Liquid Crystals
Certain
dyes naturally aggregate in aqueous solution. When these aggregates are anisotropic in shape, for example,
stack in columns, a liquid crystal phase can form when the concentration is
high enough. Instead of the
conventional liquid crystal phase in which the orientationally
ordered units are molecules, in these chromonic
liquid crystals, it is the aggregates that are orientationally
ordered.
The
higher the dye concentration and the lower the temperature, the larger the
aggregates are. This means that
the liquid crystal phase will be sensitive to both concentration and
temperature. Below is the phase
diagram for Bordeaux dye, an aggregating dye derived from naphthalenecarboxylic
acid. The wide coexistence region
between the liquid crystal and isotropic liquid phases is due to the fact that
the aggregates have a wide distribution of sizes.

The
change in free energy when a molecule joins an aggregate can be estimated from
x-ray experiments and from absorption experiments. Using absorption data from researchers working on many
different aggregating dye systems, this change in free energy (denoted a
and having units of kT) is clearly related to how
large the concentration must be for the liquid crystal phase to form at room
temperature. This correlation can
be seen in the chart below, where compounds with the same color background have
the same number of molecules in the cross-sectional area of the aggregate.

In
the food dye Sunset Yellow FCF, the most important
optical group interacts with light polarized in the plane of the molecule. Since the molecules stack with these
planes perpendicular to the long axis of the stack, the direction with the highest
index of refraction is perpendicular to the average orientation of the
stacks. This makes the
birefringence negative, as can be seen below.

Since
absorption takes place for light polarized along this same molecular direction,
the order parameter of the bond responsible for the absorption can be measured
by investigating the absorption for light polarized parallel and perpendicular
to the average orientation of the stacks.
If it is assumed that this molecular direction is on average perpendicular
to the average orientation of the stacks, the order parameter of the aggregates
can be determined. This is shown below, where it is clear that the behavior of the order
parameter is similar for chromonic and conventional
liquid crystals.

Chromonic liquid crystals sometimes create very interesting
textures when viewed through a polarizing microscope. Below are two such images. One shows birefringence colors and defect loops. The other displays the growth of the
liquid crystal phase as filaments.


Trans-Cis Isomerization
in an Azoxybenzene Liquid Crystal
When
a liquid crystal with an azo- linkage is irradiated
with ultraviolet light, the transition from the linear trans conformer to the bend cis conformer has a strong effect on the liquid crystal
properties. The transition back
from the cis
to the trans conformer can be induced
by irradiation with short wavelength visible light. Such effects in azobenzene liquid
crystals have been studied at length, both to understand the underlying photophysics and possibly to apply them in
photo-addressable devices.
Much
less is known about trans-cis isomerization in azoxybenzene liquid crystals. These molecules also respond to ultraviolet and short
wavelength visible light in much the same way that azobenzene-based
systems do. A moderate amount of uv light drives roughly half of
the molecules from the trans to cis
conformer. This changes the
absorption spectrum significantly, and with additional experiments, the
absorption spectrum of the cis conformer can be calculated (see below).

The
rate constants for the thermal relaxation from the cis conformer to the trans conformer are quite low, meaning
that at room temperature it takes approximately 24 hours for relaxation to
occur. The rate constant is
temperature dependent, showing Arrhenius behavior with an excitation energy of
about 63 kJ/mole, a value slightly less than for azobenzene.

Chirality in Liquid Crystals
The
introduction of handedness to liquid crystal phases due to the presence of chiral molecules affects both the stability of the various
liquid crystal phases and the nature of the phase transitions between
them. A good example of this is
what happens in the chiral nematic
phase of a liquid crystal that possesses a helix inversion, i.e., a temperature at which the helix
of the chiral nematic phase
changes from one handedness to the other.
In a mixture of two liquid crystals, the helix inversion line in the
temperature - concentration plane depends on both variables. But in the isotropic phase, the helix
inversion line depends only on concentration. This is illustrated in the following diagram.

Another
example of the unique effects of chirality in liquid
crystal is the stability of exotic phases when the chirality
of a system is sufficiently high.
Instead of a simple transition from the chiral
nematic to the isotropic phase, as the temperature is
raised up to three Òblue phasesÓ become stable over small temperature
intervals. These blue phases
represent a fluid phase of matter in which defects in the orientational
order form either a cubic lattice (for two of the blue phases) or a disordered
structure (for one of the blue phases).
The growth characteristics of the cubic blue phases are analogous to
what occurs in solid crystals, as demonstrated by the picture of single
crystals of one of the fluid blue phases shown below.

Since
the overall symmetry of the amorphous blue phase and the isotropic phase is the
same, it is possible that the transition line between these two phases ends at
a critical point. Such a critical
point was discovered and studied through both optical and calorimetric
techniques. The nature of this
critical point is analogous to the liquid – gas critical point.
Shown below are depictions of the smectic A and smectic C phases of
a liquid crystal. When most liquid
crystals undergo a transition from the non-tilted smectic
A phase to the tilted smectic
C phase, the layer spacing decreases as expected.

Recently
materials have been found in which there is little to no layer contraction at
the transition, a situation hypothesized by deVries
many years ago. The exact
structure of the smectic A phases of these materials
is not fully understood, but the experimental data can be explained by assuming
the molecules are tilted in the smectic A phase, but
there is azimuthal disorder of the tilt
direction. The phase transition to
the smectic C phase is therefore simply an ordering
of the azimuthal direction with little or no change
in the tilt angle. This ordering of the azimuthal direction
of the tilt angle can also be induced by applying an electric field in the
plane of the layers (see diagram below).

The size and
speed of this response makes such phases a candidate for the next generation of
liquid crystal displays. Measurements
of the orientational order of dissolved dyes in
conventional smectic A phases (such as KN125) and deVries smectic phases (such as
TSiKN65) reveal that something is very different about the local orientational order in these two types of smectic A phases.
