The Origin of Band Structure

  • Karl W. Böer
  • Udo W. PohlEmail author
Living reference work entry

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Characteristic for much of the electronic behavior in solids is the existence of energy bands, separated by bandgaps. The bands are permitted for occupation with carriers, and their origin can be described by two complementary models. The proximity approach considers the effect of the neighborhood in a solid on the energy levels of an isolated atom; this model is particularly suited for organic semiconductors, amorphous semiconductors, and clusters of atoms. The periodicity approach emphasizes the long-range periodicity of the potential in a crystal. Electrons near the lower edge of a band in a crystal behave akin to electrons in vacuum; the influence of the crystal potential is expressed by an effective electron mass which increases with increasing distance from the band edge. This chapter describes the basic elements of the electronic band structure in solids.


Band structure Bandgap Bloch function Effective mass HOMO Kronig-Penney model LUMO Organic crystals Periodicity approach Proximity approach Reduced k vector 


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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.NaplesUSA
  2. 2.Institut für Festkörperphysik, EW5-1Technische Universität BerlinBerlinGermany

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