Doppler Broadening Calculations of Compton Scattering for Molecules, Plastics, Tissues, and Few Biological Materials in the X-Ray Region: An Analysis in Terms of Compton Broadening and Geometrical Energy Broadening

Relativistic and nonrelativistic Compton profile cross sections for H, C, N, O, P, and Ca and for a few important biological materials such as water, polyethylene, lucite, polystyrene, nylon, polycarbonate, bakelite, fat, bone and calcium hydroxyapatite are estimated for a number of $\mathrm{K\alpha }$ x-ray energies and for 59.54 keV (Am-241) γ photons. Energy broadening and geometrical broadening $\mathrm{(\Delta G)}$ is estimated by assuming ${\theta }_{\min }$ and ${\theta }_{\max }$ are symmetrically situated around $\text{θ=90°.}$ FWHM of ${\mathrm{J(P}}_Z)$ and FWHM of Compton energy broadening are evaluated at various incident photon energies. These values are estimated around the centroid of the Compton profile with an energy interval of 0.1 and 1.0 keV for 59.54 keV photons. Total Compton, individual shell, and Compton energy–absorption scattering cross sections are evaluated in the energy region from 0.005 to 0.5 MeV. It is an attempt to know the effect of Doppler broadening for single atoms, many of which constitute the biological materials.