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Theory for the Contributions of Noncentral Forces to the Second and Third Order Elastic Constants in Diamond, Zinc-Blende and Wurtzite Type Crystals

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Proceedings of the Twelfth International Conference on the Physics of Semiconductors

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Abstract

Keating, Martin and Fuller have shown that the elastic constants of tetrahedral semiconductors may be expressed in terms of five parameters: α, β, γ, δ and ɛ. A theory for the absolute magnitude of the covalent parameters β, δ and ɛ is derived in terms of the Phillips-Van Vechten dielectric two band model:

$$ {r^2}\beta = 6(1 - {f_i})\Delta {E_m};\varepsilon = - \beta /r;\delta = - \sqrt 3 \varepsilon /2 $$

,where r is the bond length, fi the Phillips fraction of ionic character afid ΔEm is the reduction in single particle energy per valence electron resulting from the overall band gap. Although no parameter has been adjusted, agreement with experiment is within experimental uncertainty.

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Authors and Affiliations

  1. Bell Laboratories, Murray Hill, New Jersey, 07974, USA

    J. A. van Vechten

Authors
  1. J. A. van Vechten
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Editor information

Manfred H. Pilkuhn

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© 1974 Springer Fachmedien Wiesbaden

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van Vechten, J.A. (1974). Theory for the Contributions of Noncentral Forces to the Second and Third Order Elastic Constants in Diamond, Zinc-Blende and Wurtzite Type Crystals. In: Pilkuhn, M.H. (eds) Proceedings of the Twelfth International Conference on the Physics of Semiconductors. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-94774-1_34

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  • DOI: https://doi.org/10.1007/978-3-322-94774-1_34

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-519-03013-3

  • Online ISBN: 978-3-322-94774-1

  • eBook Packages: Springer Book Archive

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