Statistics – Computation
Scientific paper
Feb 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986jqsrt..35..153l&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 35, Feb. 1986, p. 153-165.
Statistics
Computation
Electron Impact, High Temperature Plasmas, Ionization, Ionization Cross Sections, Scattering Cross Sections, Thomas-Fermi Model, Born Approximation, Coulomb Potential, Debye-Huckel Theory, Electron Energy, Energy Transfer, Momentum Transfer
Scientific paper
Electron-ion impact ionization was calculated using classical binary-encounter collision theory. A differential cross section per unit energy and momentum transfer is derived for two-electron scattering. The total ionization cross section was obtained by integrating this differential cross section over the appropriate energy and momentum transfer and the bound electron-velocity distribution. To simplify the computation, the bound electron-velocity distribution was calculated in the Thomas-Fermi approximation. Comparison with other theoretical calculations shows that the results agree within 50 percent with the best quantum approximations. The cross sections and rate coefficients, which are sufficiently accurate for many practical applications, are expressed in computationally simple form.
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