Small Angle X-Ray Scattering from Compact Identical Particles

Abstract

A general expression is deduced for the intensity distribution of x-rays scattered at small angles from a compact system of identical particles. The scattering element selected for this derivation includes several near neighbors with the origin particle, thus taking cognizance of short-range order. An inherently positive intensity distribution may then be deduced for any such system describable by an "average" radial electron density which may be approximated by linear segments. This approximation for a compact system of impenetrable spheres compares favorably with the meager data available.