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Inclusion of the discreteness of the electronic spectrum in the statistical model of free ions

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Abstract

The characteristics of free positive ions have been studied with a semiclassical method based on the Thomas-Fermi statistical model. An efficient method has been proposed for the inclusion of the discreteness of the electronic spectrum and the calculation of a shell correction to the number of states by the statistical model in the case of the strong irregularity of the correction. The calculation of the free-ion ionization potentials within this approach reproduces the “sawtooth” dependence of these potentials on the ion charge and strongly improves the description of the experimental data by the statistical model.

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Authors and Affiliations

  1. Bruk Institute of Electronic Controlling Machines, ul. Vavilova 24, Moscow, 119334, Russia

    V. Ya. Karpov

  2. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia

    G. V. Shpatakovskaya

Authors
  1. V. Ya. Karpov
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  2. G. V. Shpatakovskaya
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Correspondence to V. Ya. Karpov.

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Original Russian Text © V.Ya. Karpov, G.V. Shpatakovskaya, 2013, published in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2013, Vol. 98, No. 6, pp. 389–393.

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Karpov, V.Y., Shpatakovskaya, G.V. Inclusion of the discreteness of the electronic spectrum in the statistical model of free ions. Jetp Lett. 98, 348–352 (2013). https://doi.org/10.1134/S0021364013190065

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  • DOI: https://doi.org/10.1134/S0021364013190065

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