Abstract
The dependence of the harmonic oscillator (HO) energy level spacing ℏω on the particle number N is studied analytically for atomic (metal) clusters on the basis of their electronic densities, parametrizing Ekardt's results (for sodium clusters) by means of a Fermi distribution. An interesting feature of such an approach is that it leads, under the assumptions made, to “kinks,” that is, to “marked discontinuities in the slope” of ℏω at the closed shells. These discontinuities diminish as N increases. For large N, ℏω becomes simply: ℏω≃c1N−1/3+c2N−1. © 2001 John Wiley & Sons, Inc. Int J Quantum Chem, 2001
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