Scattering intensities for a white beam (120 kV) presenting a semi-empirical model to preview scattered beams

Abstract

This work aims at measuring the scattering cross sections for white beams and the verification of a semi-empirical model predicting scattered energy spectra of an X-ray beam produced by an industrial X-ray tube (Pantack Sievert, 120kV, tungsten target) incident on a water sample.Both, theoretical and semi-empirical results presented are based on the form factor approach with results well corresponding to performed measurements.The elastic (Rayleigh) scattering cross sections are based on Thomson scattering with a form factor correction as published by Morin (1982). The inelastic (Compton) contribution is based on the Klein Nishina equation (Klein and Nishina, 1929) multiplied by the incoherent scattering factors calculated by Hubbel et al. (1975).Two major results are presented: first, the experimental integrated in energy cross sections corresponds with theoretical cross sections obtained at the mean energy of the measured scattered spectra at a given angle.Secondly, the measured scattered spectra at a given angle correspond to those obtained utilizing the semi-empirical model as proposed here.A good correspondence of experimental results and model predictions can be shown. The latter, therefore, proves to be a useful method to calculate the scattering contributions in a number of applications as for example cone beam tomography.