Properties of the Rayleigh-distribution for particle sizing from SAS experiments

Abstract

The analytic expression of the correlation function of Small-Angle Scattering of a quasi-diluted arrangement of homogeneous spheres, the diameters of which are Rayleigh-distributed, is given. Here, the second derivative of the correlation function is exactly proportional to the size distribution density of the diameters of the spheres. This is a fundamental case for the characterization of nanophases in terms of their chord-length distributions.