Abstract

We present selfconsistent calculations of the supershell structure of sodium, lithium, indium and aluminium clusters, by using the spherical jellium model in LDA and solving the Kohn-Sham equations for up to N ≈ 3000 electrons. While the agreement with the experimental results is very good for alkali metal clusters (Na and Li), it is rather poor in the case of aluminium. We also present quantum-mechanical calculations for a recently suggested phenomenological Woods-Saxon potential for the valence electrons of aluminium clusters.

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