E. Terentjev et Rg. Petschek, PROPERTIES OF UNIAXIAL NEMATIC LIQUID-CRYSTAL OF SEMIFLEXIBLE EVEN AND ODD DIMERS, Journal de physique. II, 3(5), 1993, pp. 661-680
A microscopic model is developed to describe statistical properties of
a nematic phase consisting of semiflexible dimers. The effect of the
spacer chain bonding the two mesogens is described by the local condit
ional probability in terms of a bare stiffness parameter OMEGA is simi
lar to E(B)/kT and a bare equilibrium angle theta0 between mesogenic m
onomers. In the framework of a molecular field approximation, taking i
nto account long-range attraction and steric repulsion between monomer
s, we obtain a complete statistical description of the nematic phase w
ith expressions for order parameter, mean-field potential, phase trans
ition parameters and Frank elastic constants depending on details of s
pecific molecular structure. Comparison of results for dimers that are
straight and bent in equilibrium and for corresponding monomers revea
ls the effect of molecular biaxiality and biaxial fluctuations.