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Theory of the dielectric susceptibility of liquid crystals with bent-core molecules

2011/02/03 by A. Kapanowski, Kapanowski, A.
Engineering · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Liquid Crystal Research Advancements #Material Dynamics and Properties #Optical Polarization and Ellipsometry #Soft Condensed Matter (cond-mat.soft) #cond-mat.soft

paper · pdf · doi:10.48550/arxiv.1102.0719

18 pages, 6 figures, 1 table

arxiv created 2011/02/03 · openalex publication_date 2011/02/03 · arxiv updated 2011/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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