  Many molecular theories of nematic liquid crystals consider the constituent
molecules as cylindrically symmetric. In many cases, this approximation may be
useful. However the molecules of real nematics have lower symmetry. Therefore a
theory was developed (Mol. Phys. 30 (1975) 1345) for an ensemble of such
particles based upon a general expansion of the pairwise intermolecular
potential together with the molecular field approximation. In this study, we
would like to handle this molecular field theory by using Tsallis
thermostatistics which has been commonly used for a decade to study the
physical systems. With this aim, we would like to investigate the dependence of
the order parameters on temperature and would like to report the variation of
the critical values of the order parameters at the transition temperature with
the entropic index.
