Abstract
The effective radial electronic potentials for neutral sodium clusters determined by the local density approximation and the jellium model are parametrized by means of (symmetrized) Woods-Saxon and “Wine-Bottle” symmetrized Woods-Saxon potentials. The potential parameters are determined by various least-squares fitting procedures. Particular attention is paid to the dependence of the radius parameter R on the particle number N and it is realized that for relatively small values of N, complex expressions of R as a function of N, are more appropriate than the standard one R= r 0 N 1/3 It is also found that improved results in these cases are obtained with an expression, of the form R = r 0 N 1/3+b, which is still very simple.
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References
He Heer, A., Knight, W.D., Chou, M.Y., and Cohen, M.L.: in Solid State Phys., ed. by Ehrenreich, H., Seitz, F., and Turnbull, D., ( Acad., N.Y. 1987 ) Vol 40, p. 93
Nishioka, H., Hansen, K., and Mottelson, B.R.: Phys. Rev. B 42, 9377 (1990)
Hohenberg. P., and Kohn, W.: Phys. Rev. B 136, 864 (1964)
Kohn, W., and Sham, L.J.: Phys. Rev. A 140, 1133 (1965)
Gummarson, O., and Lundgvist, B.I.: Phys. Rev. B 13, 4274 (1976)
Martins, J.L., Car, R., and Buttet, J.: Surf. Sci. 106, 265 (1981)
Snider, D.R., and Sorbello, R.S.: Solid State Communications 47, 385 (1983)
Beck, D.E.: Solid State Commun. 49, 381 (1984)
Ekardt, W.: Phys. Rev. B 29, 1558 (1984)
Chou, M.Y., Cleland, A., and Cohen, M.L.: Solid State Commun. 52, 645 (1984)
Brack, M.: Phys. Rev. B 39, 3533 (1989)
Eldyshev, Yu V., Lukyanov, V.,and Pol, Yu S.: Soy. J. Nucl. Phys. 16, 282 (1973)
Burov, V.V., Eldyshev, Yu V., Lukyanov, V.,and Pol, Yu S.: JINR preprint E4, 8029 Dubna (1974)
Lalazissis, G.A., Grypeos, M.E., and Massen, S.E.: J. Phys. G Nucl. Part. Phys. 15, 303 (1989)
Grypeos, M.E., Lalazissis, G.A., Massen, S.E., and Patios, C.P.: J. Phys. G Nucl. Part. Phys. 17, 1093 (1991)
Buck, B., and Pilt, A.: Nucl. Phys. A 280, 133 (1977)
Lange, T., Göhlich, H., Bergmann, T., and Martin, T.P.: Z. Phys. D, Atoms, Molecules and Clusters 19, 113 (1991); Lange, T.: Doctoral Thesis (Stuttgart, 1992 )
Yannouleas, C., and Broglia, R.A.: Europhysics Letters 15, 843 (1991)
Yannouleas, C., and Broglia, R.A.: Europhysics Letters 15, 843 (1991)
Anagnostatos, G.S.: Z. Phys. D, Atoms Molecules and Clusters 19, 121 (1991)
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Kotsos, B.A., Grypeos, M.E. (1995). Parametrization of the effective potential in sodium clusters. In: Anagnostatos, G.S., von Oertzen, W. (eds) Atomic and Nuclear Clusters. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79696-8_55
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DOI: https://doi.org/10.1007/978-3-642-79696-8_55
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