Electronic States in Crystals

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


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.


Irreducible Representation Lattice Vibration Atomic Orbital Product Representation Symmetry Operation 
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    J. L. Birman: Theory of Crystal Space Groups and Lattice Dynamics (Springer, Berlin, Heidelberg 1984)CrossRefGoogle Scholar
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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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