Dispersion Surfaces

  • David B. Williams
  • C. Barry Carter


The analysis of Bloch waves given in the previous chapter is closely related to the classic analysis of waves that you’ve seen in condensed-matter physics or semiconductor theory. In semiconductors in particular, we often talk of band diagrams and indirect or direct band gaps. We use terms like conduction bands, valence bands, and Brillouin-zone boundaries (BZBs). We visualize these quantities by drawing diagrams of E(k), the electron energy (which is a function of k) versus k, the wave vector.


Wave Vector Planar Defect Enlarge View Bloch Wave Dispersion Surface 
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  1. As in Chapter 14 we follow the treatment of Hirsch et al. as extended and illustrated by Metherell. For anyone familiar with MathematicaTM (or the corresponding) MatLab it would be an interesting challenge to construct (and share) notebooks for these diagrams.Google Scholar

Bloch Waves

  1. Ashcroft, NW and Mermin, ND 1976 Solid State Physics W.B. Saunders Co. Philadelphia. Chapter 8 (2π/λ is used).Google Scholar
  2. Kato, N 1957 The Flow of X-rays and Materials Waves in Ideally Perfect Single Crystals Acta Cryst. 11 885–887.Google Scholar
  3. Kittel, CJ 2004 Solid-State Physics 8th Ed. John Wiley & Sons New York.Google Scholar
  4. Metherell, AJF 1975 in Electron Microscopy in Materials Science II 397–552 Eds. U Valdré and E Ruedl CEC Brussels. The reference.Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.The University of Alabama in HuntsvilleHuntsvilleUSA
  2. 2.University of ConnecticutStorrsUSA

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