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The Molecular Cluster Approach to Some Solid-State Problems

  • Richard P. Messmer
Part of the Modern Theoretical Chemistry book series (MTC, volume 8)

Abstract

The quantum theory of the solid state is a vast subject which covers manifold phenomena, from optical properties to superconductivity, and from magnetism to surface properties. It is this richness of phenomena, together with its many important practical applications, which has made this subject such an active and fertile area of investigation for over forty years. Unfortunately this very diversity results in the lack of a completely coherent presentation of the theory from a set of fundamental principles—as the perusal of the standard texts of the subject will show. For example, there is at present no practical general way to formulate a theory of the electronic properties of a solid made up of a collection of atoms at arbitrary spatial positions. If these atoms, on the other hand, fall on the vertices of a lattice which can be repeated periodically through all of space, then one may take advantage of this symmetry to formulate a theory—the energy band theory—for the electronic structure of this “perfect” crystalline solid. Ideally one would like to have a practical general approach to the electronic structure of solids for which the “perfect” crystalline solid would be a special case of the “imperfect” or amorphous solid. The lack of such a general theoretical approach must be considered as one of the outstanding challenges which solid-state theory poses to the theorist.

Keywords

Metal Cluster Bloch Function Bethe Lattice Matching Plane Small Metal Cluster 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Press, New York 1977

Authors and Affiliations

  • Richard P. Messmer
    • 1
  1. 1.General Electric Corporate Research and DevelopmentSchenectadyUSA

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