Molecular model of biaxial ordering in nematic liquid crystals composed of flat molecules with four mesogenic groups

M. V. Gorkunov, M. A. Osipov, A. Kocot, and J. K. Vij
Phys. Rev. E 81, 061702 – Published 11 June 2010

Abstract

Relative stability of uniaxial and biaxial nematic phases is analyzed in a model nematic liquid crystal composed of flat molecules of C2h symmetry with four mesogenic groups rigidly linked to the same center. The generalized effective quadrupole mean-field potential is proposed and its constants are evaluated numerically for the pair intermolecular potential based on Gay-Berne interaction between mesogenic groups. The dependencies of the constants on molecular shape parameters are systematically analyzed. Order parameters of the uniaxial and biaxial nematic phases are evaluated by direct minimization of the free energy at different temperatures. The corresponding phase diagrams are obtained enabling one to study the effects of molecular model parameters on the stability regions of uniaxial and biaxial phases. The results are used to clarify the nature of experimentally observed biaxial ordering in nematic liquid crystals composed of tetrapode molecules with the same symmetry.

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  • Received 19 January 2010

DOI:https://doi.org/10.1103/PhysRevE.81.061702

©2010 American Physical Society

Authors & Affiliations

M. V. Gorkunov1,2, M. A. Osipov3, A. Kocot1,4, and J. K. Vij1

  • 1Department of Electronic and Electrical Engineering, Trinity College Dublin, Dublin 2, Ireland
  • 2A. V. Shubnikov Institute of Crystallography, Russian Academy of Sciences, 119333 Moscow, Russia
  • 3Department of Mathematics, University of Strathclyde, Glasgow G1 1XH, United Kingdom
  • 4Institute of Physics, University of Silesia, Katowice, Poland

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Issue

Vol. 81, Iss. 6 — June 2010

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