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Electronic bound states at the surface of a metal

Published online by Cambridge University Press:  24 October 2008

G. R. Baldock
G. R. Baldock
Affiliation:
Department of Applied MathematicsUniversity of Liverpool
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Abstract

The conditions under which bound states associated with atoms in the surface of a metal may exist are investigated, using the tight-binding approximation. These states arise as a result of modifications in the parameters of certain atoms. The modifications required to produce (a) bound states associated with all the atoms in the surface (surface states) and (b) bound states associated with particular small groups of atoms are found for the simple cubic lattice. It is also shown that most of the simpler crystal structures do not exhibit surface states without such modifications; in the graphite and diamond lattices, however, surface states exist solely by virtue of the lattice geometry.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 48 , Issue 3 , July 1952 , pp. 457 - 469
Copyright
Copyright © Cambridge Philosophical Society 1952

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References

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