Key points are not available for this paper at this time.
It is shown that the Frank elastic constants may be expressed in terms of even-order Legendre polynomials averaged over the one-molecule orientational distribution function. In particular, it is found that (K₁₁-K) K=C-3C^'{P₄}{P₂}+, (K₂₂-K) K=-2C-C^'{P₄}{P₂}+, (K₃₃-K) K=C+4C^'{P₄}{P₂}+, where K= (13) (K₁₁+K₂₂+K₃₃), C and C^' are constants, which depend on the details of the system, and P₌ is the weighted average of the mth Legendre polynomial. Higher-order terms in these series involve P₆, etc. The constants C and C^' are calculated for the case of rodlike molecules interacting via a hard-core repulsion. The results are in good agreement with experiments on the substance p-azoxyanisole.
Richard G. Priest (Thu,) studied this question.