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.
Similar content being viewed by others
References
J. Z. Ni, L. D. Merkle, C. S. Menoni, and I. L. Spain, Phys. Rev. B: Condens. Matter 34 (7), 4679 (1986).
C. S. Menoni, J. Z. Ni, and I. L. Spain, Phys. Rev. B: Condens. Matter 34 (1), 362 (1986).
S. J. Duclos, Y. K. Vohra, and A. L. Ruoff, Phys. Rev. B: Condens. Matter 41 (17), 12021 (1990).
M. I. McMahon, R. J. Nelmes, N. G. Wright, and D. R. Allan, Phys. Rev. B: Condens. Matter 50 (2), 739 (1994).
A. Mujica, A. Rubio, A. Muoz, and R. J. Needs, Rev. Mod. Phys. 75 (3), 863 (2003).
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).
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).
R. Maezono, N. D. Drummond, A. Ma, and R. J. Needs, Phys. Rev. B: Condens. Matter 82 (18),184108 (2010).
S. L. Qiu and P. M. Marcus, Eur. Phys. J. B 81, 411 (2011).
B. D. Malone and M. L. Cohen, Phys. Rev. B: Condens. Matter 86 (5), 054101 (2012).
S. D. Crockett, G. De Lorenzi-Venneri, J. D. Kress, and S. P. Rudin, J. Phys.: Conf. Ser. 500, 032006 (2014).
S. Soreila, M. Casula, L. Spanu, and A. D. Corso, Phys. Rev. B: Condens. Matter 83 (7), 075119 (2011).
M. H. Magomedov, Investigation of Interatomic Interaction, Formation of Vacancies, and Self-Diffusion in Crystals (Fizmatlit, Moscow, 2010) [in Russian].
M. N. Magomedov, Phys. Solid State 45 (1), 32 (2003).
L. A. Girifalco, Statistical Physics of Materials (Wiley, New York, 1973; Mir, Moscow, 1975).
M. H. Magomedov, Tech. Phys. 60 (11), 1619 (2015).
M. H. Magomedov, Russ. J. Inorg. Chem. 49 (12), 1906 (2004).
A. F. Goncharov, Sov. Phys.—Usp. 30 (6), 525 (1987).
I. V. Aleksandrov, A. F. Goncharov, A. N. Zisman, and S. M. Stishov, Sov. Phys. JETP 66 (2), 384 (1987).
S. M. Stishov JETP Lett. 71 (1), 15 (2000).
Ch. Kittel, Introduction to Solid State Physics (Wiley, New York, 1976; Nauka, Moscow, 1978).
M. H. Magomedov, Tech. Phys. 58 (12), 1789 (2013).
T. C. Pandya, N. A. Thakar, and A. D. Bhatt, J. Phys.: Conf. Ser. 377, 012097 (2012)
S. S. Batsanov, Structural Chemistry: Facts and Dependences (Dialog, Moscow, 2000) [in Russian].
T. N. Kwon and S. C. Kim, Phys. B (Amsterdam, Neth.) 205 (3), 331 (1995).
Handbook of Physical Quantities, Ed. by I. S. Grigoriev and E. Z. Meilikhov (Energoatomizdat, Moscow, 1991; CRC Press, Boca Raton, Florida, 1996).
S. I. Novikova, Thermal Expansion of Solids (Nauka, Moscow, 1974) [in Russian].
S. V. Stankus, R. A. Khairulin, and P. V. Tyagel’skii, High Temp. 37 (4), 529 (1999).
G. A. Slack and S. F. Bartram, J. Appl. Phys. 46 (1), 89 (1975).
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © M.N. Magomedov, 2017, published in Fizika Tverdogo Tela, 2017, Vol. 59, No. 6, pp. 1065–1072.
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063783417060142