Empirical and theoretical calculations of L-subshell Coster-Kronig transitions in atoms with 28 ≤ Z ≤ 98

Meddah, Samia and Kahoul, Abdelhalim and Parente, Fernando and Kasri, Yazid and Sampaio, Jorge Miguel and Marques, José Pires and Croft, Stephen and Favalli, Andrea and Cengiz, Erhan and Daoudi, Salim (2025) Empirical and theoretical calculations of L-subshell Coster-Kronig transitions in atoms with 28 ≤ Z ≤ 98. Radiation Physics and Chemistry, 241: 113543. ISSN 0969-806X

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Abstract

This work presents a comprehensive analytical investigation of Coster–Kronig transition probabilities f 12 , f 13 , f 23 , F 1 , and F 123 for elements with atomic numbers 28 ≤ Z ≤ 98 . Experimental data from our previous studies were systematically compiled and employed to construct smooth empirical trends by polynomial interpolation so as to represent the variation of these transitions across the different elements. In parallel, new theoretical values were calculated for selected elements using the Multiconfiguration Dirac–Fock (MCDF) method, incorporating relativistic effects. When compared with available theoretical and experimental data the results show good agreement, especially for medium and heavy elements. These new results provide reliable reference data for modeling L-shell vacancy decay processes and support a range of applications in atomic physics, X-ray spectroscopy, and radiation interaction studies.