Generalized Kolbenstvedt model for electron impact ionization of the K-, L- and M-shell ions

Abstract

The recently proposed generalized Kolbenstvedt model (GKLV) of Haque et al (2007 Eur. Phys. J. D 42 203), for the electron impact ionization (EII) of atoms, was applied to a wide range of K-, L- and M-shell electrons of ionic targets from threshold to 1 MeV incident energy. The set of species-independent parameters, two for each of the ionized orbits, is the same as that for neutral targets, and provides an excellent account of the EII cross-sectional data for 36 ions, including those belonging to Li, Be, B, C, N, O and Ne electronic sequences as well as those having 3s-, 3p- and 3d-configurations of the M-shell in a consistent manner. The performance of GKLV is found to be better than that of the modified version of the BELL model (Haque et al 2006 Phys. Rev. A 73 052703, Haque et al 2006 Phys. Scr. 74 377).

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“…The calculated cross sections have been compared with the available experimental data and other theoretical cross sections. The present calculated cross sections are in excellent agreement with measured by Merlet C. et al 15 and Hoffmann et al 22 for As. A good agreement is found between the present calculations and measured Luo Z. et al 21 , Ishii K. et al…”

“…In 2000 Kim et al 14 proposed the relativistic version of the BEB model and calculated the cross sections for K-shell ionization of atoms by using their relativistic BEB formula. Many researchers like Haque et al 15 , Uddin et al 16 , Patoatry et al 17 , Huo et al 18 , Talukder et al 19 etc. have calculated the K shell ionization cross sections by modified the different model from threshold to ultra-relativistic energy range.…”

An extended empirical formula for inner-shell ionization of atoms

“…In recent years, Haque et al have incorporated ionic and relativistic corrections in the empirical formula of Bell et al (BELL) [16], Kolbenstvedt (KLV) [17] and the Deutsch-Märk (DM) [18] model leading to the modified BELL (MBELL) model [15], the generalized Kolbenstvedt (GKLV) model [19] and a modified version of revised DM (MRDM) model [20], respectively. MBELL combines Bethe's asymptotic form with the low-energy behaviour of collision through, respectively, the first and series terms in the cross section expression of the parent BELL model [15].…”

Standardless quantification methods in electron probe microanalysis

“…L shell ionization cross sections are more difficult to obtain, particularly experimental data, because fluorescence yields and Coster-Kronig transition rates are poorly known; nevertheless, some analytical expressions [12,38] and theoretical approaches [40,[50][51][52] were recently developed; in addition, a number of experimental determinations of X-ray production and ionization cross sections [53][54][55][56][57][58][59] were carried out, as reviewed by Llovet et al [60].…”

“…Regarding M lines, few experimental data are available for ionization cross sections [61][62][63][64]. On the other hand, some of the theoretical formalisms developed for K and L shells are also valid for M shells [38,50,51].…”