Abstract
A theory is described for U(θ2), the potential of mean torque of rigid solutes at infinite dilution in a uniaxial liquid crystal phase. The general form of U(θ2), is an infinite expansion of modified spherical harmonics CLn (θ2), and truncation at the second rank terms produces a practical form for U(θ2) which is used to calculate Sxx-Syy and Szz , the principal elements of the Saupe ordering matrix of a biaxial solute. The theory predicts that the dependence of Sxx-Syy on Szz for a particular solute-solvent mixture is determined entirely by λ, a parameter describing the departure from cylindrical symmetry of the potential of mean torque, and which is independent of temperature. Furthermore, if U(θ2) is determined entirely by dispersion forces then λ is predicted to be independent of the solvent and to depend entirely on the anisotropy of the electric polarizability tensor of the solute. These predictions are tested by determining the values of Sxx-Syy and Szz by analysing proton N.M.R. spectra of a solut...
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