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On the born relation for crystals with diamond and sphalerite structure

  • Semiconductors and Dielectrics
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Abstract

The experimental data on the elastic constants C ij for crystals with diamond and sphalerite structure at T=293 K were used to check the Born relation Δ4C 11(C 11C 44)/(C 11+C 12)2=1. The relation was shown to be satisfied with a low accuracy for diamond due to a large scatter in the C ij experimental values and with accuracies of 8.3, 7.6, 1.6, and 1.0% for Si, SiC, Ge, and α-Sn, respectively. For II–VI, III–V, and I–VII compounds with sphalerite structure, Λ was found to systematically deviate from unity toward lower values, and it was shown that the quantity (1-Λ) can be used to estimate the bond ionicity in these crystals. The effect of anharmonicity on the Λ values for Ge, Si, GaAs, InAs, and ZnSe was estimated; this effect was found to be insignificant.

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Translated from Fizika Tverdogo Tela, Vol. 45, No. 3, 2003, pp. 429–433.

Original Russian Text Copyright © 2003 by Mikhal’chenko.

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Mikhal’chenko, V.P. On the born relation for crystals with diamond and sphalerite structure. Phys. Solid State 45, 453–458 (2003). https://doi.org/10.1134/1.1562230

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