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Analytical Formulas for Approximating Cross Sections of Electron Collisions with Hydrogen, Noble Gases, Alkali and Other Atoms. ATOMS 2022. [DOI: 10.3390/atoms10030093] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
Abstract
This paper presents an analysis of data on the cross sections of elastic and inelastic collisions of electrons with noble gases, alkali and other atoms. For the selected sets of experimental and theoretical data, optimal analytical formulas are found, and approximation coefficients are calculated. The obtained semi-empirical formulas reproduce the values of the transport (diffusion), excitation and ionization cross sections for noble gases. Much attention is paid to the ionization cross sections of metal atoms, which are often present as an impurity in gas-discharge plasma. The approximation formulas reproduce the values of the ionization cross sections for hydrogen, metal and other elements in a wide range of energies with accurate orders of errors of the available theoretical and experimental data. For some elements with a two-hump plot of the dependence of the ionization cross section on the collision energy, it is proposed to use a two-term formula that takes into account ionization from both external and internal shells.
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Okhrimovskyy A, Bogaerts A, Gijbels R. Electron anisotropic scattering in gases: a formula for Monte Carlo simulations. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002; 65:037402. [PMID: 11909325 DOI: 10.1103/physreve.65.037402] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/22/2001] [Revised: 11/26/2001] [Indexed: 05/23/2023]
Abstract
The purpose of this Brief Report is to point out the mistake in a formula for anisotropic electron scattering, previously published in Phys. Rev. A 41, 1112 (1990), which is widely used in Monte Carlo models of gas discharges. Anisotropic electron scattering is investigated based on the screened Coulomb potential between electrons and neutral atoms. The approach is also applied for electron scattering by nonpolar neutral molecules. Differential cross sections for electron scattering by Ar, N2, and CH4 are constructed on the basis of momentum and integrated cross sections. The formula derived in this paper is useful for Monte Carlo simulations of gas discharges.
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Affiliation(s)
- A Okhrimovskyy
- Department of Chemistry, University of Antwerp, Universiteitsplein 1, B-2610 Wilrijk-Antwerp, Belgium
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Heer FJD, Jansen RHJ, Kaay WVD. Total cross sections for electron scattering by Ne, Ar, Kr and Xe. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0022-3700/12/6/016] [Citation(s) in RCA: 239] [Impact Index Per Article: 10.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Dalba G, Fornasini P, Lazzizzera I, Ranieri G, Zecca A. Absolute total cross section measurements for intermediate energy electron scattering. I. He. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0022-3700/12/22/023] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Dewangan DP, Walters HRJ. Electron loss from H(2s), H(1s), He(11S), He(23S), Li(22S), H-and He-projectiles passing through the inert gases-the free-collision model. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0022-3700/11/23/011] [Citation(s) in RCA: 59] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Berrington KA, Burke PG, Freitas LCG, Kingston AE. Electron excitation from the 11S, 23S and 21S states of helium. An eleven-state R-matrix calculation. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/18/20/016] [Citation(s) in RCA: 59] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
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Staszewska G, Schwenke DW, Thirumalai D, Truhlar DG. Non-empirical model for the imaginary part of the optical potential for electron scattering. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/16/9/006] [Citation(s) in RCA: 40] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Berrington KA, Kingston AE. Electron excitation in helium: including the n=4 levels in an R-matrix calculation. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/20/24/014] [Citation(s) in RCA: 80] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Fon WC, Berrington KA, Hibbert A. The elastic scattering of electrons from inert gases. I. Helium. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/14/2/014] [Citation(s) in RCA: 64] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Wingerden BV, Wagenaar RW, Heer FJD. Total cross sections for electron scattering by molecular hydrogen. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/13/17/025] [Citation(s) in RCA: 50] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Blaauw HJ, Wagenaar RW, Barends DH, Heer FJD. Total cross sections for electron scattering from N2and He. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/13/2/023] [Citation(s) in RCA: 85] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Nagy P, Skutlartz A, Schmidt V. Absolute ionisation cross sections for electron impact in rare gases. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/13/6/028] [Citation(s) in RCA: 144] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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Nickel JC, Imre K, Register DF, Trajmar S. Total electron scattering cross sections. I. He, Ne, Ar, Xe. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/18/1/015] [Citation(s) in RCA: 138] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Campeanu RI, Fromme D, Kruse G, McEachran RP, Parcell LA, Raith W, Sinapius G, Stauffer AD. Partitioning of the positron-helium total scattering cross section. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/20/14/027] [Citation(s) in RCA: 45] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Hartley HM, Walters HRJ. Summing over excited states of the target in atomic collisions. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/20/9/013] [Citation(s) in RCA: 32] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Fon WC, Berrington KA, Kingston AE. The 11S to 21S and 11S to 21P excitation of helium by electron impact. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/13/11/022] [Citation(s) in RCA: 69] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Teubner PJO, Riley JL, Tonkin MC, Furst JE, Buckman SJ. Total cross sections for the production of metastable neon atoms by electron impact. ACTA ACUST UNITED AC 1999. [DOI: 10.1088/0022-3700/18/17/023] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Donkó Z. Avalanches and bursts in low-pressure helium gas below the breakdown voltage. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 51:3934-3938. [PMID: 9963101 DOI: 10.1103/physreve.51.3934] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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McCarthy IE, Zhou Y. Equivalent-local calculation of the continuum contributions to electron and positron reactions on atoms. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 49:4597-4601. [PMID: 9910777 DOI: 10.1103/physreva.49.4597] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Donkó Z, Rózsa K, Tobin RC, Peard KA. Modeling and measurements on an obstructed glow discharge in helium. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 49:3283-3289. [PMID: 9961596 DOI: 10.1103/physreve.49.3283] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Razdan R, Capjack CE, Seguin HJ. Monte Carlo simulation of the cathode fall region of a CO2 laser glow discharge for studying the influence of magnetic fields on instability growth. APPLIED OPTICS 1986; 25:2915. [PMID: 18235552 DOI: 10.1364/ao.25.002915] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/25/2023]
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Spenner K, Knudsen WC, Whitten RC, Michelson PF, Miller KL, Novak V. On the maintenance of the Venus nightside ionosphere: Electron precipitation and plasma transport. ACTA ACUST UNITED AC 1981. [DOI: 10.1029/ja086ia11p09170] [Citation(s) in RCA: 73] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Goldstein BE, Suess ST, Walker RJ. Mercury: Magnetospheric processes and the atmospheric supply and loss rates. ACTA ACUST UNITED AC 1981. [DOI: 10.1029/ja086ia07p05485] [Citation(s) in RCA: 71] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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