ISICS: A program for calculating K-, L- and M-shell cross sections from ECPSSR theory using a personal computer

L X-ray intensity ratios for proton impact on selected rare-earth elements

“…The quantity V CK(L) can be determined by finding the overall probability that the CK process causes a vacancy to occur in the M 4,5 shell (for L a ) and the N 4,5 shell (for L b2,15 ) prior to the X-ray emissions, given by Eq. (4) where r i are L sub-shell ionization cross sections (calculated from ECPSSR theory using ISICS [10]), and the f S ij are the CK yields for S = M 4,5 or N 4,5 [13], which represent the probabilities for an electron from the M 4,5 or N 4,5 shell to be ejected from the atom Table 1 Results of determining the vacancy fractions from multiple ionization (MI) due to the collisions leading to L 3 X-ray emission after correction for Coster-Kronig vacancy production in the M and N shells Element (Z) Theory/Expt. relative intensity ratios during the i !…”

“…The yield slope, dY/dE, was obtained by fitting the yield data to Y(E) = A(E À C) B and differentiating; A, B and C are the fitted parameters. The detector efficiencies, e, were determined from a combination of radioactive standards and K X-ray yields from bombarded thick foils using calculated ECPSSR yields (from ISICS [10]) as a standard [11]. Efficiency data were separately fitted using…”

Empirical L Shell Fluorescence Yields for Elements with 40 ≤ Z ≤ 92

“…Finally, ratio (R) to the present calculation ofω L is presented in Table II of theoretical [2,3,[5][6][7][8][9] and experimental values [10][11][12][13][14]. Generally, the results obtained from this procedure present a good compromise between theory and experiment.…”

“…1b) [2] and other data extracted from curves [1]. Also, we introduce the dispersion criterion, within [0.5-1.5], of the existing experimental data from their corresponding calculated by ECPSSR model [3] with correct exact integration limits [4]. In such model Smit and Lapicki indicated that it would be wrong to evaluate the exact limits for momentum transfers of integration in calculating form factors * corresponding author; e-mail: a_bendjedi@yahoo.fr (Q min and Q max ) by replacing η s with η…”

Hafnium to thorium M-shell X-ray production cross sections by proton impact

“…In the first attempt, the semi-empirical M-shell X-ray production cross sections have been calculated by defining the normalized cross sections in the usual manner as S ¼ s exp / s ECPSSR , where s ECPSSR refers to our theoretical results of Mshell X-ray production cross sections calculated within the ECPSSR model by using the exact limits of integration (Liu & Cipolla, 1996) and the unperturbed nonrelativistic screened hydrogenic wave functions defined by Choi (1973) to evaluate the form factor (Johnson, Basbas, & McDaniel, 1979) and s exp refers to the experimental cross sections at our disposal of elements with atomic number 72 Z 2 90 collected from different sources (Cipolla, 1995;Goudarzi et al, 2006;Mehta et al, 1982Mehta et al, , 1983Pajek et al, 1990aPajek et al, , 2006RodriguezFern andez et al, 2002;Sera et al, 1980) (528 data points). Also, because of the non availability of the coefficients of CostereKronig and the fluorescence yields of the M i -subshells, necessary to convert the ionization cross sections to the X-ray production ones and vice versa, we used the ratios of the total X-ray production cross sections instead of the total ionization ones.…”