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

Abstract

In this study, semi-empirical L-1 subshells fluorescence yields (omega(L1)) were calculated from the available experimental data covering the period from 1955 to 2022 for elements with 28 <= Z <= 96 for L-1 subshell, and 23 <= Z <= 96 for L-2 and L-3 subshells. First, we critically examine these data and obtain weighted average values (omega(L1) (W), omega(L2) (W), and omega(L3) (W)) using a formula based on experimental (omega(EXP)) values and measurement errors. New recommended values omega(WR) are obtained by calculating the ratio S = omega(EXP)/omega(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 [omega(WR)/(1 - omega(WR))](1/4) and the fitting ratio S = omega(EXP)/omega(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.