Semi-Empirical and Theoretical Calculation of L₁, L₂, and L₃ Subshell Fluorescence Yields

In this study, semi-empirical L_i subshells fluorescence yields (ω_Li) were calculated from the available experimental data covering the period from 1955 to 2022 for elements with 28 ≤ Z ≤ 96 for L₁ subshell, and 23 ≤ Z ≤ 96 for L₂ and L₃ subshells. First, we critically examine these data and obtain weighted average values (ω_L1W,ω_L2W,andω_L3W) using a formula based on experimental (ω_EXP) values and measurement errors. New recommended values ω_WR are obtained by calculating the ratio S = ω_EXP/ω_W and removing out-of-range values (less than 0.8 or greater than 1.2). Semi-empirical values were derived for the three subshells using two interpolations: the analytical function [ω_WR/(1 − ω_WR)]^1/4 and the fitting ratio S = ω_EXP/ω_WR, both as function of the atomic number Z. Furthermore, new theoretical calculations based on the Multiconfiguration Dirac-Fock Method have been performed for some elements and are presented in this work. Finally, our semi-empirically and theorical calculated L_i subshell fluorescence yields were compared with other theoretical, experimental, and empirical values from the literature.