Classical binary-encounter collision theory for electron-impact ionization of ions

Statistics – Computation

Scientific paper

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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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