SMALL ANGLE SCATTERING OF A POLYDISPERSE SYSTEM OF INTERACTING HARD SPHERES - AN ANALYTICAL SOLUTION

摘要

Recently, general results obtained from the study of the autocorrelation functions of liquids were used for a more accurate analysis of the full small angle scattering pattern fi om mono and polydisperse systems with interparticle interaction. The effects of polidispersity and density, in close-packed systems of hard spheres (case 1) and hard spheres with permeable shell (case 2) with Schulz distribution of radii, were investigated by Mengoni [J. Chem. Phys. 87, 2560 (1987)] by a numerical integration of the intensity in the framework of the Born-Green kinetic theory for fluids. In this paper we generalize the case 1 reported by Mengoni to a system of spherical particles of radius r(i) with an interacting hard sphere potential of radius R(HSi)proportional to r(i) and analytically solve the equations for the intensity. (C) 1997 American Institute of Physics. [References: 6]