ADDITIVE ANISOTROPIC INTERACTIONS IN MOLECULAR LIQUIDS AND LIQUID-CRYSTALS

Formulae for a SO(3)-invariant expansion of the pair-molecular interac tion-energy are derived. Two different cases, of exponential potential and of inverse-power potential, are considered for molecules of arbit rary shape. Methods for the determination of the generalized multipole components for molecules are developed on the base of transformation formulae for rotation and translation of a coordinate system. The impo rtance of accounting the difference between the general expansion and that of a conventional multipole type is illustrated on the base of si mulation data for mesogen substance PCH-5.