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Particle Number Dependence of Size and Energy Quantities in Sodium Clusters

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Particle Number Dependence of Size and Energy Quantities in Sodium Clusters (EN)
Grypeos, M. E.
Kotsos, B. A.
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
2020-02-19
The effective radial electronic potentials for neutral sodium clusters, which were determined by Ekardt on the basis of the local density approximation and the jellium model, are parametrized by means of the (symmetrized) Woods-Saxon and "Wine-Bottle" symmetrized Woods-Saxon potentials with the aim of investigating the dependence of size and energy quantities on the cluster particle number. The potential parameters are determined by various least-squares fitting procedures. It is found that for the radius R of the above potentials, complex expressions are more appropriate than the standard one R = r0N^{1/3} for relatively small values of N. Furthermore, N-power expansions are derived for those complex expressions of R, as well as for the r.m.s. radius of the potential. It is also found that improved results in these cases are obtained with an expression of the form R = r0N^{1/3}+b, which is still very simple. There is also investigated the variation of energy quantities, such as the single particle energies of the 1s and 1p states, the level spacing |E1p-E1s| and the average energy level spacing, with respect to the particle number N. Expressions for the first three of these quantities with N-dependent terms of the form aN^{2/3} + βΝ^{-1} give good results. (EN)
Annual Symposium of the Hellenic Nuclear Physics Society
English
Hellenic Nuclear Physics Society (HNPS) (EN)
2654-0088
2654-007X
Annual Symposium of the Hellenic Nuclear Physics Society; Τόμ. 5 (1994): HNPS1994; 57-89 (EL)
HNPS Advances in Nuclear Physics; Vol. 5 (1994): HNPS1994; 57-89 (EN)
Πνευματική ιδιοκτησία (c) 2020 B. A. Kotsos, M. E. Grypeos (EL)
Hellenic Nuclear Physics Society
Annual Symposium of the Hellenic Nuclear Physics Society
Oral contributions



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