Max-Planck-Institut für Festkörperforschung 
Andersen Group  LMTO  C60  GW  Clusters 

Supershells in Metal Clusters

In the mass spectra of elemental clusters one observes oscillations in the abundance as a function of cluster size. These oscillations reflect variations \tilde E in the total energy of the clusters. In most cases \tilde E is determined by the geometric arrangement of the atoms. For simple metals at temperatures above the melting point, however, the electonic structure is dominant, giving rise to electonic shells and supershells. Using a jellium model for systems of up to 10000 electrons, the experimental findings for alkali clusters can be reproduced fairly well. But in the case of gallium that simple model fails. To gain insight into the mechanisms determining the shell and supershell structure, we extend the known semiclassical analysis for the DOS of a spherical cavity to more realistic potentials. This suggests a simple mechanism for explaining the failure of the jellium model for metals with high electron density.

For an overview, take a look at these Slides taken form a talk on the subject (1MB)

More detailed information can be found in the following publications

Even more information can be found in my PhD thesis (in German)
MPI-FKF Andersen Group Erik Koch (
Max-Planck-Institut für Festkörperforschung
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