Calculated absolute cross-sections for the electron-impact ionization of atoms with atomic numbers between 20 and 56 using the Deutsch-Märk (DM) formalism

H. Deutsch, K. Becker, T. D. Märk

Research output: Contribution to journalArticle

Abstract

We report results of the calculation of electron-impact ionization cross-sections for atoms with atomic numbers Z in the intermediate range of Z-values (20 < Z < 56) using the DM formalism. For atoms with Z-values in this range (which contains many atoms of practical importance), there are some experimentally determined ionization cross-sections, but there has only been a single systematic theoretical study from 30 years ago, which was based on the Born approximation. The Born approximation tends to yield cross-sections which show an "overestimation" in the energy regime of the cross-section maximum compared to experimental data. The DM approach, on the other hand, has adequately reproduced the region of the cross-section maximum for many low-Z atoms as well as for the heavier rare gases. In the present case of atoms with Z-values from 20 to 56, the DM calculation typically shows a cross-section maximum lower than that predicted from the Born approximation by 25-50%, except for Xe, Ni, Cd, and Pd. The Born approximation and the DM formalism yield cross-sections that converge at higher impact energies.

Original languageEnglish (US)
Pages (from-to)58-62
Number of pages5
JournalInternational Journal of Mass Spectrometry
Volume271
Issue number1-3
DOIs
StatePublished - Apr 1 2008

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Impact ionization
Born approximation
electron impact
formalism
ionization
Atoms
Electrons
cross sections
atoms
ionization cross sections
Noble Gases
Inert gases
Ionization
rare gases
energy

Keywords

  • Cross-section calculations
  • Electron-impact ionization

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Spectroscopy

Cite this

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title = "Calculated absolute cross-sections for the electron-impact ionization of atoms with atomic numbers between 20 and 56 using the Deutsch-M{\"a}rk (DM) formalism",
abstract = "We report results of the calculation of electron-impact ionization cross-sections for atoms with atomic numbers Z in the intermediate range of Z-values (20 < Z < 56) using the DM formalism. For atoms with Z-values in this range (which contains many atoms of practical importance), there are some experimentally determined ionization cross-sections, but there has only been a single systematic theoretical study from 30 years ago, which was based on the Born approximation. The Born approximation tends to yield cross-sections which show an {"}overestimation{"} in the energy regime of the cross-section maximum compared to experimental data. The DM approach, on the other hand, has adequately reproduced the region of the cross-section maximum for many low-Z atoms as well as for the heavier rare gases. In the present case of atoms with Z-values from 20 to 56, the DM calculation typically shows a cross-section maximum lower than that predicted from the Born approximation by 25-50{\%}, except for Xe, Ni, Cd, and Pd. The Born approximation and the DM formalism yield cross-sections that converge at higher impact energies.",
keywords = "Cross-section calculations, Electron-impact ionization",
author = "H. Deutsch and K. Becker and M{\"a}rk, {T. D.}",
year = "2008",
month = "4",
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doi = "10.1016/j.ijms.2007.10.001",
language = "English (US)",
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TY - JOUR

T1 - Calculated absolute cross-sections for the electron-impact ionization of atoms with atomic numbers between 20 and 56 using the Deutsch-Märk (DM) formalism

AU - Deutsch, H.

AU - Becker, K.

AU - Märk, T. D.

PY - 2008/4/1

Y1 - 2008/4/1

N2 - We report results of the calculation of electron-impact ionization cross-sections for atoms with atomic numbers Z in the intermediate range of Z-values (20 < Z < 56) using the DM formalism. For atoms with Z-values in this range (which contains many atoms of practical importance), there are some experimentally determined ionization cross-sections, but there has only been a single systematic theoretical study from 30 years ago, which was based on the Born approximation. The Born approximation tends to yield cross-sections which show an "overestimation" in the energy regime of the cross-section maximum compared to experimental data. The DM approach, on the other hand, has adequately reproduced the region of the cross-section maximum for many low-Z atoms as well as for the heavier rare gases. In the present case of atoms with Z-values from 20 to 56, the DM calculation typically shows a cross-section maximum lower than that predicted from the Born approximation by 25-50%, except for Xe, Ni, Cd, and Pd. The Born approximation and the DM formalism yield cross-sections that converge at higher impact energies.

AB - We report results of the calculation of electron-impact ionization cross-sections for atoms with atomic numbers Z in the intermediate range of Z-values (20 < Z < 56) using the DM formalism. For atoms with Z-values in this range (which contains many atoms of practical importance), there are some experimentally determined ionization cross-sections, but there has only been a single systematic theoretical study from 30 years ago, which was based on the Born approximation. The Born approximation tends to yield cross-sections which show an "overestimation" in the energy regime of the cross-section maximum compared to experimental data. The DM approach, on the other hand, has adequately reproduced the region of the cross-section maximum for many low-Z atoms as well as for the heavier rare gases. In the present case of atoms with Z-values from 20 to 56, the DM calculation typically shows a cross-section maximum lower than that predicted from the Born approximation by 25-50%, except for Xe, Ni, Cd, and Pd. The Born approximation and the DM formalism yield cross-sections that converge at higher impact energies.

KW - Cross-section calculations

KW - Electron-impact ionization

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