Semi-Empirical and Theoretical Calculation of L1, L2, and L3 Subshell Fluorescence Yields
Citation
Meddouh, K., Kahoul, A., Sampaio, J.M., Daoudi, S., Marques, J.P., Parente, F., Aylikci, N.K., Aylikci, V., Kasri, Y., Hamidani, A. (2024). Semi-Empirical and Theoretical Calculation of L1, L2, and L3 Subshell Fluorescence Yields. Journal of Quantitative Spectroscopy and Radiative Transfer, 322, art. no. 109013. https://doi.org/10.1016/j.jqsrt.2024.109013Abstract
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.
