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State equations and properties of various polymorphous modifications of silicon and germanium

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Abstract

The state equations and the pressure dependences of the lattice properties have been obtained for various polymorphous modifications of silicon and germanium using the Mie–Lennard-Jones pair interatomic potential and the Einstein crystal model. It is shown that the elastic-type interatomic potential gives the best results for the semiconductor phase and the plastic-type interatomic potential for the metalized phases whose potential well depth is significantly smaller. The pressure dependences of the lattice properties are calculated along isotherm 300 K and the jumps of the properties during the phase transition from the diamond structure to the β-Sn phase are evaluated for both silicon and germanium. The calculated results agree well with the experimental data.

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References

  1. J. Z. Ni, L. D. Merkle, C. S. Menoni, and I. L. Spain, Phys. Rev. B: Condens. Matter 34 (7), 4679 (1986).

    Article  ADS  Google Scholar 

  2. C. S. Menoni, J. Z. Ni, and I. L. Spain, Phys. Rev. B: Condens. Matter 34 (1), 362 (1986).

    Article  ADS  Google Scholar 

  3. S. J. Duclos, Y. K. Vohra, and A. L. Ruoff, Phys. Rev. B: Condens. Matter 41 (17), 12021 (1990).

    Article  ADS  Google Scholar 

  4. M. I. McMahon, R. J. Nelmes, N. G. Wright, and D. R. Allan, Phys. Rev. B: Condens. Matter 50 (2), 739 (1994).

    Article  ADS  Google Scholar 

  5. A. Mujica, A. Rubio, A. Muoz, and R. J. Needs, Rev. Mod. Phys. 75 (3), 863 (2003).

    Article  ADS  Google Scholar 

  6. R. G. Hennig, A. Wadehra, K. P. Driver, W. D. Parker, S. J. Umrigar, and J. W. Wilkins, Phys. Rev. B: Condens. Matter 82 (1), 014101 (2010).

    Article  ADS  Google Scholar 

  7. X.-J. Chen, C. Zhang, Y Meng, R.-Q. Zhang, H.-Q. Lin, V. V. Struzhkin, and H.-K. Mao, Phys. Rev. Lett. 106 (13), 135502 (2011).

    Article  ADS  Google Scholar 

  8. R. Maezono, N. D. Drummond, A. Ma, and R. J. Needs, Phys. Rev. B: Condens. Matter 82 (18),184108 (2010).

    Article  ADS  Google Scholar 

  9. S. L. Qiu and P. M. Marcus, Eur. Phys. J. B 81, 411 (2011).

    Article  ADS  Google Scholar 

  10. B. D. Malone and M. L. Cohen, Phys. Rev. B: Condens. Matter 86 (5), 054101 (2012).

    Article  ADS  Google Scholar 

  11. S. D. Crockett, G. De Lorenzi-Venneri, J. D. Kress, and S. P. Rudin, J. Phys.: Conf. Ser. 500, 032006 (2014).

    Google Scholar 

  12. S. Soreila, M. Casula, L. Spanu, and A. D. Corso, Phys. Rev. B: Condens. Matter 83 (7), 075119 (2011).

    Article  ADS  Google Scholar 

  13. M. H. Magomedov, Investigation of Interatomic Interaction, Formation of Vacancies, and Self-Diffusion in Crystals (Fizmatlit, Moscow, 2010) [in Russian].

    Google Scholar 

  14. M. N. Magomedov, Phys. Solid State 45 (1), 32 (2003).

    Article  ADS  Google Scholar 

  15. L. A. Girifalco, Statistical Physics of Materials (Wiley, New York, 1973; Mir, Moscow, 1975).

    Google Scholar 

  16. M. H. Magomedov, Tech. Phys. 60 (11), 1619 (2015).

    Article  Google Scholar 

  17. M. H. Magomedov, Russ. J. Inorg. Chem. 49 (12), 1906 (2004).

    Google Scholar 

  18. A. F. Goncharov, Sov. Phys.—Usp. 30 (6), 525 (1987).

    Article  ADS  Google Scholar 

  19. I. V. Aleksandrov, A. F. Goncharov, A. N. Zisman, and S. M. Stishov, Sov. Phys. JETP 66 (2), 384 (1987).

    Google Scholar 

  20. S. M. Stishov JETP Lett. 71 (1), 15 (2000).

    Article  ADS  Google Scholar 

  21. Ch. Kittel, Introduction to Solid State Physics (Wiley, New York, 1976; Nauka, Moscow, 1978).

    MATH  Google Scholar 

  22. M. H. Magomedov, Tech. Phys. 58 (12), 1789 (2013).

    Article  Google Scholar 

  23. T. C. Pandya, N. A. Thakar, and A. D. Bhatt, J. Phys.: Conf. Ser. 377, 012097 (2012)

    Google Scholar 

  24. S. S. Batsanov, Structural Chemistry: Facts and Dependences (Dialog, Moscow, 2000) [in Russian].

    Google Scholar 

  25. T. N. Kwon and S. C. Kim, Phys. B (Amsterdam, Neth.) 205 (3), 331 (1995).

    Article  ADS  Google Scholar 

  26. Handbook of Physical Quantities, Ed. by I. S. Grigoriev and E. Z. Meilikhov (Energoatomizdat, Moscow, 1991; CRC Press, Boca Raton, Florida, 1996).

  27. S. I. Novikova, Thermal Expansion of Solids (Nauka, Moscow, 1974) [in Russian].

    Google Scholar 

  28. S. V. Stankus, R. A. Khairulin, and P. V. Tyagel’skii, High Temp. 37 (4), 529 (1999).

    Google Scholar 

  29. G. A. Slack and S. F. Bartram, J. Appl. Phys. 46 (1), 89 (1975).

    Article  ADS  Google Scholar 

  30. M. N. Magomedov, in Proceedings of the VI International Conference “Deformation and Fracture of Materials and Nanomaterials,” Institute of Metallurgy and Materials Science, Russian Academy of Sciences, Moscow, November 10–13, 2015, p. 69. http://files.imetran. ru/SbornikDFMN/Sbornik_DFMN2015.pdf.

    Google Scholar 

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Correspondence to M. N. Magomedov.

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Original Russian Text © M.N. Magomedov, 2017, published in Fizika Tverdogo Tela, 2017, Vol. 59, No. 6, pp. 1065–1072.

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Magomedov, M.N. State equations and properties of various polymorphous modifications of silicon and germanium. Phys. Solid State 59, 1085–1093 (2017). https://doi.org/10.1134/S1063783417060142

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  • DOI: https://doi.org/10.1134/S1063783417060142

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