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Electronic States in Crystals

Chapter
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Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 78)

Abstract

The energy band theory assumes that electrons in a crystal move independently of the other electrons in a potential V(r) that has the same symmetry as the crystal lattice. In this chapter, we investigate how the crystal symmetry influences the energy spectra and wavefunctions (Bloch functions) of electrons. Selection rules associated with various electronic processes are also discussed. Finally, Frenkel excitons in molecular crystals are considered, which present another interesting application of the space group representations.

Keywords

Irreducible Representation Lattice Vibration Atomic Orbital Product Representation Symmetry Operation 
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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References

  1. 12.1
    J. L. Birman: Theory of Crystal Space Groups and Lattice Dynamics (Springer, Berlin, Heidelberg 1984)CrossRefGoogle Scholar
  2. 12.2
    A. A. Maradudin, E. W. Montroll, G. H. Weiss, I. P. Ipatova:Theory of Lattice Dynamics in the Harmonic Approximation, 2nd ed. (Academic, New York 1971) Chap. 3Google Scholar
  3. 12.3
    J. L. Warren: Rev. Mod. Phys. 40, 38 (1968)ADSCrossRefGoogle Scholar
  4. 12.4
    G. Nilsson, G. Nelin: Phys. Rev. B 3, 364 (1971)ADSCrossRefGoogle Scholar
  5. 12.5
    M. Lax, J. J. Hopfield: Phys. Rev. 124, 115 (1961)ADSzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  1. 1.Japan Women’s UniversityBunkyo-ku, Tokyo 112Japan
  2. 2.Department of Physics, School of Science and TechnologyMeiji UniversityTama-ku, Kawasaki 214Japan

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