Calculation of the total Rayleigh scattering cross sections of photons in the energy range of 30-50 keV for Nb and Mo elements

Abstract

The total Rayleigh scattering cross sections are calculated in the energy range of 30-50 keV using the modified relativistic form factors (MRFF), non-relativistic form factors (NFF), and relativistic form factors (RFF). Numerical calculations are made for energies above the K-threshold comparisons, for medium-Z elements (Nb and Mo), primarily at small momentum transfers. The integration range is divided into intervals using a modified formula to take into account the smaller scattering angles. The calculated cross sections based on MRFF, NFF, and RFF are presented and compared with the tabulated theoretical values. It is found that the values calculated using the NFF and RFF are smaller than the tabulated values with a ratio of 3-7%. It is also observed that the smallest total Rayleigh scattering cross section values are obtained using the MRFF.