The static structure factor of a system of fully aligned rod-like macroions

Abstract

The static structure factor for fully aligned charged rod-like macromolecules is calculated from the Ornstein-Zernike equation in MSA-closure. The hard-core of the macroions is taken ellipsoidal. The reason for choosing ellipsoidal hard-cores is that the ellipsoid-of-nearest approach is conveniently mapped on the spheres by a simple contraction of the axis of alignment. The direct correlation function inside the contracted hard-core is expanded in a power series. The closure relation for the total correlation function is then satisfied if a certain non-linear functional in the expansion coefficients is zero. The numerical values for a finite set of expansion coefficients for which this functional is minimum are obtained by numerical methods.