Analytical formulas for ionization cross sections and coster-kronig corrected fluorescence yields of the L1, L2, and L3 subshells

Abstract

We present analytical formulas for three L-subshell ionization cross sections for proton impact based on the recent experimental data and for the Coster-Kronig corrected fluorescence yields based on the theoretical values due to Chen et al. and due to McGuire. Total L X-ray production cross sections were calculated using the analytical formulas and compared with experimental values. As a result, our semi-empirical values using the formulas fitted to the values of Chen et al. coincided with the experimental values very well. Furthermore our values for L α , L β , L γ , L η , and L l X-ray production cross sections calculated using the analytical L1, L2, and L3 Subshell ionization cross sections, and the theoretical values of the fluorescent yields and of the Coster-Kronig transition probabilities due to Chen et al. also agreed with the experimental values.