Abstract

An atomic cluster with icosahedral external shape must contain a well defined -“magic”- number of atoms, 13–55–147-… etc, in order to have a complete outer layer. The question then arises to know what should be the surface arrangement of the cluster when the number of atoms is not a “magic” one. Our purpose is to show that the answer depends on whether the icosahedral cluster shape is due to a better growth rate or to a better stability. In the former case, the external surface layer is always icosahedral. while in the latter a transition may occur in the surface atom arrangement of small-sized icosahedra from twin to icosahedral positions.

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