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D. N. Chausov¹, V. V. Belyaev¹, O. V. Noah², A. K. Dadivanyan¹, M. A. Osipov³

Author affiliations
¹Theoretical Physics Department, Moscow Region State University,
10a Radio St., Moscow, 105005, Russia
E-mail: d.chausov@yandex.ru
²Macromolecular Compounds Department, Moscow State University,
1 Leninskie Gory, Moscow, 119992, Russia
³Department of Mathematics and Statistics, University of Strathclyde,
16 Richmond St., Glasgow, G1 1XQ, Scotland, UK
E-mail: m.osipov@strath.ac.uk

Abstract
An expression for the interaction energy between atoms belonging to two different molecules depending on the coordinates of atoms and angles between axes of the molecules was derived. The interaction energy between mesogen molecules was calculated on the base of this approach. The energy of dipole-dipole interaction was shown to be one order less, than the total interaction energy calculated by the atom-atom potentials method. The azimuthal and polar anchoring energies of LC were calculated using the derived analytical expression for the energy of interaction of rod-like molecules simulating mesogens. The results are in good agreement with the experimental data. It is shown that the potential obtained in the present paper in the limiting case coincides with those obtained in the works of Rapini-Papoular and Blinov with coworkers.

Keywords: interaction energy, liquid crystal, mesogens, atom-atom potentials