Revised high energy behavior of the Deutsch-Märk (DM) formula for the calculation of electron impact ionization cross sections of atoms

H. Deutsch, P. Scheier, K. Becker, T. D. Märk

Research output: Contribution to journalArticle

Abstract

We modified the Deutsch-Märk (DM) formula for the calculation of single atomic ionization cross sections by replacing the previously used Gryzinsky-type energy dependence by a "scaled" ln(E)/E energy dependence. This modified energy dependence yields, in the limit of high impact energies, the well-established Born-Bethe ln(E)/E energy dependence, while reproducing, at lower impact energies, the DM cross section function. The revised DM formula, whose energy dependence has been determined from a fitting procedure using reliable, measured ionization cross sections for the atoms H, He, C, Ne, Mg, Al, and Ag, was subsequently used to calculate as an example ionization cross sections for the atoms O, F, P, Ar, Ge, Kr, and Xe and excellent to very good agreement was found between the calculated and the measured cross sections for these atoms over a wide range of impact energies.

Original languageEnglish (US)
Pages (from-to)13-17
Number of pages5
JournalInternational Journal of Mass Spectrometry
Volume233
Issue number1-3
DOIs
StatePublished - Apr 15 2004

Fingerprint

Impact ionization
ionization cross sections
electron impact
Ionization
Atoms
Electrons
atoms
energy
cross sections

Keywords

  • Atoms
  • Cross sections
  • Electron impact ionization

ASJC Scopus subject areas

  • Physical and Theoretical Chemistry
  • Spectroscopy

Cite this

Revised high energy behavior of the Deutsch-Märk (DM) formula for the calculation of electron impact ionization cross sections of atoms. / Deutsch, H.; Scheier, P.; Becker, K.; Märk, T. D.

In: International Journal of Mass Spectrometry, Vol. 233, No. 1-3, 15.04.2004, p. 13-17.

Research output: Contribution to journalArticle

@article{ff33f5c9909b4cc7b8db9388a2530fd6,
title = "Revised high energy behavior of the Deutsch-M{\"a}rk (DM) formula for the calculation of electron impact ionization cross sections of atoms",
abstract = "We modified the Deutsch-M{\"a}rk (DM) formula for the calculation of single atomic ionization cross sections by replacing the previously used Gryzinsky-type energy dependence by a {"}scaled{"} ln(E)/E energy dependence. This modified energy dependence yields, in the limit of high impact energies, the well-established Born-Bethe ln(E)/E energy dependence, while reproducing, at lower impact energies, the DM cross section function. The revised DM formula, whose energy dependence has been determined from a fitting procedure using reliable, measured ionization cross sections for the atoms H, He, C, Ne, Mg, Al, and Ag, was subsequently used to calculate as an example ionization cross sections for the atoms O, F, P, Ar, Ge, Kr, and Xe and excellent to very good agreement was found between the calculated and the measured cross sections for these atoms over a wide range of impact energies.",
keywords = "Atoms, Cross sections, Electron impact ionization",
author = "H. Deutsch and P. Scheier and K. Becker and M{\"a}rk, {T. D.}",
year = "2004",
month = "4",
day = "15",
doi = "10.1016/j.ijms.2003.06.002",
language = "English (US)",
volume = "233",
pages = "13--17",
journal = "International Journal of Mass Spectrometry",
issn = "1387-3806",
publisher = "Elsevier",
number = "1-3",

}

TY - JOUR

T1 - Revised high energy behavior of the Deutsch-Märk (DM) formula for the calculation of electron impact ionization cross sections of atoms

AU - Deutsch, H.

AU - Scheier, P.

AU - Becker, K.

AU - Märk, T. D.

PY - 2004/4/15

Y1 - 2004/4/15

N2 - We modified the Deutsch-Märk (DM) formula for the calculation of single atomic ionization cross sections by replacing the previously used Gryzinsky-type energy dependence by a "scaled" ln(E)/E energy dependence. This modified energy dependence yields, in the limit of high impact energies, the well-established Born-Bethe ln(E)/E energy dependence, while reproducing, at lower impact energies, the DM cross section function. The revised DM formula, whose energy dependence has been determined from a fitting procedure using reliable, measured ionization cross sections for the atoms H, He, C, Ne, Mg, Al, and Ag, was subsequently used to calculate as an example ionization cross sections for the atoms O, F, P, Ar, Ge, Kr, and Xe and excellent to very good agreement was found between the calculated and the measured cross sections for these atoms over a wide range of impact energies.

AB - We modified the Deutsch-Märk (DM) formula for the calculation of single atomic ionization cross sections by replacing the previously used Gryzinsky-type energy dependence by a "scaled" ln(E)/E energy dependence. This modified energy dependence yields, in the limit of high impact energies, the well-established Born-Bethe ln(E)/E energy dependence, while reproducing, at lower impact energies, the DM cross section function. The revised DM formula, whose energy dependence has been determined from a fitting procedure using reliable, measured ionization cross sections for the atoms H, He, C, Ne, Mg, Al, and Ag, was subsequently used to calculate as an example ionization cross sections for the atoms O, F, P, Ar, Ge, Kr, and Xe and excellent to very good agreement was found between the calculated and the measured cross sections for these atoms over a wide range of impact energies.

KW - Atoms

KW - Cross sections

KW - Electron impact ionization

UR - http://www.scopus.com/inward/record.url?scp=2142699988&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=2142699988&partnerID=8YFLogxK

U2 - 10.1016/j.ijms.2003.06.002

DO - 10.1016/j.ijms.2003.06.002

M3 - Article

VL - 233

SP - 13

EP - 17

JO - International Journal of Mass Spectrometry

JF - International Journal of Mass Spectrometry

SN - 1387-3806

IS - 1-3

ER -