Physics of the Solid State

, Volume 41, Issue 6, pp 905–908 | Cite as

Applicability of the empirical Varshni relation for the temperature dependence of the width of the band gap

  • I. A. Vainshtein
  • A. F. Zatsepin
  • V. S. Kortov
Semiconductors. Dielectrics


We have carried out a comparison of relations used to describe the temperature dependence of the width of the band gap in crystals. It is shown that for kT≫ℏω the well-known Varshni relation can be obtained from the non-empirical Fan expression in explicit form taking account of the phonon statistics. We have calculated the temperature coefficient bof the width of the band gap for a number of materials in the range where the high-temperature condition is not met. We have found that the Varshni relation overestimates β, whereas calculations based on the Fan expression agree with experiment.


Spectroscopy State Physics Explicit Form Temperature Coefficient Phonon Statistic 
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Copyright information

© American Institute of Physics 1999

Authors and Affiliations

  • I. A. Vainshtein
    • 1
  • A. F. Zatsepin
    • 1
  • V. S. Kortov
    • 1
  1. 1.Urals State Technical UniversityEkaterinburgRussia

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