Theory of the Dielectric Susceptibility of Liquid Crystals with Bent-Core Molecules
A. Kapanowski
Institute of Physics, Jagiellonian University, W.S. Reymonta 4, 30-059 Cracow, Poland
Received: November 24, 2010; In final form: April 19, 2011
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Statistical theory of the dielectric susceptibility of polar liquid crystals is proposed. The molecules are calamitic or bent-core but the permanent dipole moment is perpendicular to the molecule long axis. The ordering of the phase is described by means of the mean-field theory based on the Maier-Saupe approach. The theory is used to calculate the temperature dependence of the order parameters and the susceptibilities. The phase diagram with four phases is obtained: isotropic, uniaxial nematic, uniaxial ferroelectric, and biaxial ferroelectric. Four critical points are predicted.
DOI: 10.12693/APhysPolA.120.473
PACS numbers: 61.30.Cz, 77.84.Nh