Article
The Hückel Model for Small Metal Clusters. I. Geometry, Stability, and Relationship to Graph Theory
Journal of Chemical Physics
(1987)
Abstract
The relative stabilities of alkali‐like metal clusters, Mn and M+n with 2≤n≤9, are calculated within the framework of the simple Hückel model. With the aid of graph theory, the binding energies for all possible Hückel structures are determined. With the exception of M+5 and M+6 , the Hückel model gives minimum energy structures which are the same as those predicted by recent local‐spin‐density and configuration interaction calculations. Since the Hückel method is independent of the mechanical details of the bonding, a close connection is inferred between a cluster’s stability and its topology. In the paper following this one, the Hückel results are extended to include absolute atomization energies and ionization potentials. In addition, it is shown that cluster energies may be quantitatively extrapolated to the bulk phase.
Disciplines
Publication Date
1987
DOI
10.1063/1.452005
Citation Information
Thomas F George, Youqi Wang, D. M. Lindsay and A. C. Beri. "The Hückel Model for Small Metal Clusters. I. Geometry, Stability, and Relationship to Graph Theory" Journal of Chemical Physics Vol. 86 Iss. 6 (1987) - 3493 Available at: http://works.bepress.com/thomas-george/86/