Abstract
The Boltzmann equation was applied to the electron gas in the positive column in a helium-metal vapour mixture discharge. The problem was solved both numerically and approximately taking into account elastic and inelastic collisions of electrons with helium and metal atoms as well as mutual impacts of electrons. Separately the influence of Zn, Cd and Hg atoms on the mean kinetic energy, the mobility (drift velocity) and the diffusion of the electrons was investigated. Approximative relations for those quantities were found and a physical interpretation of their behaviour is given.
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References
Allen L., Jones D. G., Principles of gas lasers, London — Butter Works, 1967.
Webb C. E., Turner-Smith A. R., Green J. M., J. Phys. B.: Atom. Molec. Phys.3 (1970), L 134.
Djatlov K. M., Ostaitchenko E. P., Stepanov V. A., Opt. i spektr.29 (1970), 1014.
Shkarofsky J. P., Johnston T. W., Bachynski M. P., The particles kinetics of plasmas, Addison-Wesley Publishing Company, Massachusetts-Palo Alto-London-Don Mills, Ontario, 1966.
Vokatý E., Mašek K., Czech. J. Phys.B 22 (1972), 776.
Frost L. S., Phelps A. V., Phys. Rev.127 (1962), 1621.
Postma A. J., Physica48 (1972), 447.
Sherman B., J. Math. Analysis and Application1 (1960), 342.
Mewe R., Stepwise ionization and atomic level populations in a Helium discharge, Rijn-huizen Report 69-50, Jutphaas — Nederland 1969.
Savtchenko V. N., Opt. i spektr.30 (1971), 12.
Penkin N. P., Redko T. P., Opt. i spektr.23 (1967), 474.
Kenty C., J. Appl. Phys.21 (1950), 1309.
Nottingham W. B., Phys. Rev.55 (1939), 203.
Drawin H. W., Zeitschrift für Physik164 (1961), 513.
Pottie R. F., J. Chem. Phys.44 (1966), 916.
Brode R. B., Phys. Rev.35 (1930), 504.
McCutchen C. W., Phys. Rev.112 (1958), 1848.
Gradschtein I. S., Ryzik I. M., Tablici integralov, sum, radov i proizvedenij, G.I.F.M.L., Moskva 1963.
Růžička T., Rohlena K., Czech. J. Phys.B 22 (1972), 906.
Golant V. E., J.T.P. (USSR),XXVII (1957), 1482.
Ljagustschenko R. I., J.T.P. (USSR),XLII (1972), 1097.
Golubovskij Ja. B., Kagan Ju. M., Ljagustschenko R. I., J.E.T.P. (USSR)57 (1969), 2229.
Oxenius J., Zeitschrift für Naturforschung25a (1970), 102.
Wojaczek K., Beitr. Plasmaphysik5 (1965), 181.
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The authors gratefully acknowledge the helpful discussion and careful reading of the manuscript by Dr. K.Rohlena and Dr. T.Růžička.
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Mašek, K., Vokatý, E. Solution of the Boltzmann equation for electrons in the discharges in metal vapour-helium mixtures. Czech J Phys 24, 267–283 (1974). https://doi.org/10.1007/BF01596348
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DOI: https://doi.org/10.1007/BF01596348