An analytic solution to the Rayleigh scattering cross section integral
Abstract
The total Rayleigh scattering cross section integral has been integrated analytically using atomic form factors described as a sum of exponentials. This form of the scattering integral eliminates the need for numerical integration using interpolated values of form factors. The result of the integration is expressed in a simple analytical form that can be numerically integrated over the spectra from an Xray tube.
 Publication:

Nuclear Instruments and Methods in Physics Research A
 Pub Date:
 February 1985
 DOI:
 10.1016/01689002(85)91006X
 Bibcode:
 1985NIMPA.234..552H