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SEMI‐empirical and empirical formulas for calculation of K‐shell ionization cross sections by proton impact: a comparison
Author(s) -
Kahoul A.,
Nekkab M.,
Deghfel B.
Publication year - 2008
Publication title -
x‐ray spectrometry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.447
H-Index - 45
eISSN - 1097-4539
pISSN - 0049-8246
DOI - 10.1002/xrs.1084
Subject(s) - ionization , binary number , born approximation , proton , shell (structure) , atomic physics , polynomial , scaling , plane (geometry) , l shell , plane wave , physics , computational physics , nuclear physics , mathematics , quantum mechanics , mathematical analysis , geometry , scattering , ion , materials science , arithmetic , composite material , earth's magnetic field , magnetic field
According to the plane wave Born approximation (PWBA) and the binary encounter approximation (BEA) models, it is possible to fit the cross sections obtained with any atomic element at any particle energy using a scaling law for a K‐shell. The semi‐empirical K‐shell ionization cross sections are then deduced by fitting the available experimental data normalized to their corresponding theoretical values. For the empirical K‐shell ionization cross sections, a third‐order polynomial was used to fit the same experimental data for protons. Our results are compared with the predictions of the ECPSSR theory and with other earlier works. Good agreement is obtained, but it is emphasized that the ultimate solution is to deduce the cross sections by fitting the available experimental data for each element separately. Copyright © 2008 John Wiley & Sons, Ltd.