Applicability of the empirical varshni relation for the temperature dependence of the width of the band gap / Vaǐnshteǐn I.A., Zatsepin A.F., Kortov V.S. // Physics of the Solid State. - 1999. - V. 41, l. 6. - P. 905-908.

ISSN:

10637834

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Article

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 β of 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. © 1999 American Institute of Physics.

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Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-0033148007&partnerID=40&md5=00c0d144131666252f3ec6c780509fc1
Affiliations	Urals State Technical University, 620002 Ekaterinburg, Russian Federation
References	Grigor'ev, I.S., Meǐlikhov, E.Z., (1991) Handhook of Physical Quantities, , [in Russian] Energoatomizdat, Moscow; Ashcroft, N.W., Mermin, N.D., (1976) Solid State Physics, , Holt, Rinehart and Winston, New York; Pankove, J.I., (1971) Optical Processes in Semiconductors, , Prentice-Hall, Englewood Cliffs, N.J; Shalimova, K.V., (1976) Physics of Semiconductors [in Russian], , Énergiya, Moscow; Varshni, Y.P., (1967) Physica (Amsterdam), 34, p. 149; Ravindra, N.M., Srivastava, V.K., (1979) J. Phys. Chem. Solids, 40, p. 791; Fan, H.Y., (1951) Phys. Rev., 82, p. 900; Tu, R.C., Su, Y.K., Li, C.F., Huang, Y.S., Chou, S.T., Lan, W.H., Tu, S.L., Chang, H., (1998) J. Appl. Phys., 83, p. 1664; Radkowsky, A., (1948) Phys. Rev., 73, p. 749; Davydov, A.S., (1951) Theory of Light Absorption in Molecular Crystals [in Russian], , Izdat. Akad. Nauk USSR, Kiev; Fan, H.Y., (1967) Photon-electron Interaction: Crystals Without Fields, , Springer-Verlag, Berlin; Skettrup, T., (1978) Phys. Rev. B, 18, p. 2622; Allen, P.B., Cardona, M., (1981) Phys. Rev. B, 23, p. 1495; (1981) Phys. Rev. B, 24, p. 7479; Zakis, J.N., Fritzsche, H., (1974) Phys. Status Solidi B, 64, p. 123; Zakis, Yu.R., Moskal'onov, A.V., (1975) Uch. Zap. LGU, 231, p. 61. , Lecture Notes, Leningrad State Univ.; Cody, G.D., The optical absorption edge of a-Si:H (1984) Hydrogenated Amorphous Silicon, (PART B), p. 11. , edited by J. Pankove Academic Press, New York
Correspondence Address	Vaǐnshteǐn, I.A.; Urals State Technical University, 620002 Ekaterinburg, Russian Federation; email: zats@dpt.ustu.ru
Language of Original Document	English
Abbreviated Source Title	Phys. Solid State
Source	Scopus