Small angle scattering by ellipsoids of revolution: Polidispersity and limitations of the Mellin transform

This paper presents an analysis of validity of the Mellin transform when applied to small angle scattering of X-rays or neutrons by a polydisperse set of ellipsoids of revolution. It constitutes a continuation of a previous work performing the same kind of analysis for a set of diffusing particles, consisting of nearly spherical particles. In particular the analysis was focused on the accuracy associated to the size distribution, average radius, total volume of scattering particles as obtained by applying the Mellin transform to the scattering patterns. (orig.)