P-79 / P. A. Kossyrev
P-79: Model of Freedericksz Transition and Hysteresis Effect in Polymer
Stabilized Nematic Liquid Crystal Configurations for Display Applications
Pavel A. Kossyrev, Jun Qi, Nikolai V. Priezjev, Robert A. Pelcovits and Gregory P. Crawford
Department of Physics, Brown University, Providence, Rhode Island, USA
Abstract
The critical field of the Freedericksz transition and optical
hysteresis is investigated for Polymer Stabilized Nematic Liquid
Crystals as a function of polymer concentration. The results are
described by a simple phenomenological model, which accounts
for the change in polymer network morphology as the
concentration of polymer is increased.
1. Introduction
Polymer Stabilized Liquid Crystals (PSLC) are composed of a
polymer network dispersed in a nematic liquid crystal. They are
promising materials for many display configurations. Small
amounts of reactive monomer polymerized in a nematic liquid
crystal create an aligned polymer network that under some
circumstances can provide a memory effect [1]. The polymer
network structure captures the details of the nematic director
prior to photo-polymerization. In this paper we present our
results on the influence of the polymer network on the switching
behavior of a homogeneously aligned nematic liquid crystal. We
show that the critical field of the Freedericksz transition, as well
as the width of optical hysteresis, increases with the polymer
network concentration, and that this dependence on polymer
concentration can be described by a phenomenological model.
Previous models described the critical field of the Freedericksz
transition in PSLC systems, which to some extent took into
account the polymer morphology as collection of planes [2] or
bundles [3] parallel to the substrates, or collectively as an
effective field [4]. These models nicely describe the behavior of
the critical field in the low concentration limit. The model of the
polymer matrix as a series of planes perpendicular to the x-, y-,
and z-axes of the Cartesian coordinate system was introduced in
[5]. Current models do not explain the dependence of the critical
field on the polymer concentration especially in the high
concentration limit. We explain the behavior of the critical field
of the Freedericksz transition in liquid crystal-polymer systems
by introducing a phenomenological model, which takes into
account the morphology of the polymer network. Also we
explain the optical hysteresis effect and its dependence on
concentration in such systems.
2. Result
Consider a planar cell of PSLC sandwiched between two
transparent indium tin oxide (ITO) coated glass plates with a
5µm cell gap thickness. The glass substrates are coated with
rubbed polyimide such that the nematic directors on both
surfaces are anchored parallel to the plates. Two types of PSLC
were prepared from low molecular weight nematic liquid crystal
BL038 (EM Industries), diacrylate monomers LC242 (BASF)
for the first type and RM257 (EM Industries) for the second
type, and a low percentage of photo-initiator Darocur1173
(Ciba) was used so that polymerization can be carried out in the
UV. When a diacrylate monomer is polymerized in a liquid
crystal solvent, the orientation and order of the resultant network
depends on the orientation and order of the liquid crystal. So we
assume that the polymer network has planar alignment, which is
identical to the alignment of liquid crystal. In our studies we
investigated the concentration range where the monomer is
totally dissolved in liquid crystal at room temperatures (<6% of
monomer by weight). We also make sure that the polymerization
is complete by UV curing the samples for sufficiently long time.
Figure 1 The experimental set up for measuring the
transmission properties of a PSLC cell. The cell is situated
between the cross polarizers oriented at 45
0
with respect to
the nematic director inside the cell.
A schematic illustration of the experimental set up for
measuring the transmission properties of a PSLC cell is
presented in Figure 1. We consider the arrangement of a cell
between a pair of parallel polarizers. The nematic director in the
cell is oriented at 45
o
relative to the transmission axes of the
polarizers. ITO glass plates serve as the electrodes to apply
1kHz square ac-voltage V. In the field-off state, the cell exhibits
a phase retardation Γ(=2π/λ(n
e
-n
o
)d=4π), where n
e
(=1.799),
n
o
(=1.527) are the extra-ordinary and ordinary refractive indices
of the BL038 respectively, d(=5µm) is the cell gap thickness,
and λ(=633nm) is the wavelength of the incident laser light. Due
to the uniform alignment of the liquid crystal and the polymer
network, the transmission light intensity of the cell
I(=1/2cos
2
(Γ/2)) is maximum in the field-off state with such
arrangement of polarizers.
ISSN/0002-0966X/02/3301-0506-$1.00+.00 © 2002 SID 506 • SID 02 DIGEST