Modified version of revised Deutsch–Märk model for electron impact K‐shell ionization cross‐sections of atoms at relativistic energies

Abstract

ABSTRACT:A simple modification of the revised Deutsch-Märk model (RDM) [Deutsch et al., Int J Mass Spectrom 2004, 233, 13] incorporating both the ionic and relativistic corrections is proposed to investigate the K-shell ionization of 30 atomic targets with atomic numbers Z ϭ 1-92 for incident energies up to 2 GeV. We also revisit our earlier models: modified Bell (MBELL) (Haque et al., Phys Rev A 2006, 73, 012708) and modified Kolbenstvedt (MKLV) (Uddin et al., Eur Phys J D 2006, 37, 361), for the K-shell ionization cross sections at these ultra-relativistic energies. The results from the modified version of RDM (MRDM), MBELL, and MKLV models agree well with the available experimental data and quantum mechanical calculations.

Electron impact ionisation cross sections of cis- and trans-diamminedichloridoplatinum(II) and its hydrolysis products

“…We would like to conclude this section with the discussion of two points concerning limitations of the presented work. Over the last decade, the original DM as well as the BEB methods experienced several modifications yielding improvements on resulting EICSs for atomic targets especially for relativistic impact energies, heavy elements in high charge states and effects related to inner shell ionisation [53-58]. Although the magnitude of corrections caused by these modifications is small in the energy range considered in this work, attempts to further adapt both approaches for molecular targets seem nevertheless desirable especially if impact energies in the range of and beyond several tens of keV become interesting.…”

Copper K-shell emission cross sections for laser–solid experiments

“…expression, Tang et al's 18 expression, Haque et al's Kolbenstvedt model,20 and Haque et al's modified Deutsch-Märk model 23. In the case of Jakoby et al's expression and Haque et al's Kolbenstvedt model, this failure appears to be caused, at least in part, by typing errors that we could not resolve.…”

“…Such expressions have been used in modeling laser-solid experiments, which would have led to significant errors; 2E/m e v 2 exceeds 1.1 at only 34 keV and exceeds 2 at 0.32 MeV. We then considered 12 relativistic expressions, [14][15][16][17][18][19][20][21][22][23][24][25] and there are almost certainly more out there. Since this time, a minor modification of Santos et al's expression 25 has been published by Guerra et al 26 Only four expressions clearly failed to reproduce the measurements: Jakoby et al's 16 14 expression around the dip, and by Hombourger's 17 expression at higher energies.…”

Validation of Shell Ionization Cross Sections for Monte Carlo Electron Transport

“…The third stage of the analysis addresses the investigation of possible systematic effects in the validation process related to the derivation of ionization cross sections from measurements of X-ray production cross sections. It is performed only for K shell cross sections, for which a sufficiently large experimental data sample allows refined statistical investigations; moreover, [35]- [37] (black squares), an earlier version [4], [38] (red circles), and the relativistic version of [39] (blue triangles). the relation between ionization and X-ray production cross section for the K shell involves a single atomic parameter, i.e.…”

“…A modified version of the DM model [39] was specifically formulated for the K shell; it is identified as DMMR in the following analysis.…”