Amari, K.Kahoul, A.Sampaio, J. M.Kasri, Y.Marques, J. P.Parente, F.Hamidani, A.Croft, S.Favalli, A.Daoudi, S.Deghfel, B.Zidi, A.Berkani, B.2025-02-242025-02-242024-10-010031-8949PURE: 107191538PURE UUID: c26a922e-b0d2-4110-bda6-52e679d1b32cScopus: 85203414626WOS: 001304243500001http://hdl.handle.net/10362/179698UID/FIS/04559/2020 We gratefully acknowledge the support of the DGRSDT, Ministry of Higher Education and Scientific Research, Algeria. This work was done with the support of Mohamed El Bachir El Ibrahimi University, under project (PRFU) N\u00B0: B00L02UN340120230003. Publisher Copyright: © 2024 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.The main objective of this study is to obtain three-dimensional empirical K-shell x-ray fluorescence cross-section ( σ K α , σ K β and σ K tot ) values for a wide range of elements 16 ≤ Z ≤ 92 for photons with energies from 5.46 keV to 123.6 keV, using more than 3300 experimental data values published between 1985 and 2023 by numerous researchers. These data values are fitted using an interpolation method including a three-dimensional function against atomic number Z and excitation energy E, resulting in a three-dimensional plot to estimate empirically a three-dimensional set of K α , K β and K tot x-ray fluorescence cross sections. The results of this empirical calculation are compared, for selected elements, with other empirical and experimental values reported in the literature, and a reasonable agreement is observed.2112833engempirical calculation and three-dimensional interpolationK-shellXRF cross sectionsAtomic and Molecular Physics, and OpticsMathematical PhysicsCondensed Matter Physicsjournal article10.1088/1402-4896/ad720ehttps://www.scopus.com/pages/publications/85203414626