Physics of the Solid State, volume 41, issue 6, pages 905-908
Applicability of the empirical Varshni relation for the temperature dependence of the width of the band gap
I A Vainshtein
1
,
A. F. Zatsepin
1
,
V S Kortov
1
Publication type: Journal Article
Publication date: 1999-06-01
Journal:
Physics of the Solid State
scimago Q4
SJR: 0.189
CiteScore: 1.7
Impact factor: 0.9
ISSN: 10637834, 10906460, 17267498
Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Abstract
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.
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