Skip to main content
SpringerLink
Log in

On the Calculation of the Debye Temperature and Crystal–Liquid Phase Transition Temperature of a Binary Substitution Alloy

  • Lattice Dynamics
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

A method of estimating the interatomic pair interaction potential parameters for a binary substitution alloy with consideration for the deviation of its lattice parameter from the Vegard law is proposed. This method is used as a basis to calculate the Debye temperature and Grüneisen parameters of a SiGe alloy. It is shown that all these function nonlinearly variate with a change in the germanium concentration. Based on this technique and Lindemann's melting criterion, a method for calculating the liquidus and solidus temperatures of a disordered substitution alloy is proposed. The method is tested on the SiGe alloy and demonstrates good agreement with experimental data. It is shown that when the size of a nanocrystal of a solid substitution solution decreases, the difference between the liquidus and solidus temperatures decreases the more, the more noticeably the nanocrystal shape is deflected from the most energetically optimal shape.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. http://www.ioffe.ru/SVA/NSM/Semicond/SiGe/basic.html.

  2. T. Kumara Swamy, K. G. Subhadra, and D. B. Sirdeshmukh, Pramana J. Phys. 43, 33 (1994).

    Article  ADS  Google Scholar 

  3. E. M. Sokolovskaya and L. S. Guzei, Metal Chemistry (Mosk. Gos. Univ., Moscow, 1986) [in Russian].

    Google Scholar 

  4. J. O. Hirschfelder, Ch. F. Curtiss and R. B. Bird, Molecular Theory of Gases and Liquids (New York, 1954; Inostrannaya Literatura, Moscow, 1961).

    MATH  Google Scholar 

  5. J. P. Dismukes, L. Ekstrom, and R. J. Paff, J. Phys. Chem. 68, 3021 (1964).

    Article  Google Scholar 

  6. J. J. Pulikkotil, A. Chroneos, and U. Schwingenschlögl, J. Appl. Phys. 110, 036105 (2011).

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  8. M. N. Magomedov, Study of Interatomic Interaction, Vacancy Formation and Self-Diffusion in Crystals (Fizmatlit, Moscow, 2010) [in Russian].

    Google Scholar 

  9. M. N. Magomedov, Tech. Phys. 55, 1373 (2010).

    Article  Google Scholar 

  10. M. N. Magomedov, Russ. J. Inorg. Chem. 49, 1906 (2004).

    Google Scholar 

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

    Article  ADS  Google Scholar 

  12. R. W. Olesinski and G. J. Abbaschian, Bull. Alloy Phase Diagrams 5, 180 (1984).

    Article  Google Scholar 

  13. T. Soma, J. Phys. C 15, 1873 (1982).

    Article  ADS  Google Scholar 

  14. M. N. Magomedov, Phys. Solid State 59, 1085 (2017).

    Article  ADS  Google Scholar 

  15. A. F. Goncharov, Sov. Phys. Usp. 30, 525 (1987).

    Article  ADS  Google Scholar 

  16. M. N. Magomedov, Crystallogr. Rep. 62, 480 (2017).

    Article  ADS  Google Scholar 

  17. S. Bajaj, M. G. Haverty, R. Arroyave, W. A. Goddard III, and S. Shankare, Nanoscale 7, 9868 (2015).

    Article  ADS  Google Scholar 

  18. A. S. Shirinyan, Beilstein J. Nanotechnol. 6, 1811 (2015).

    Article  Google Scholar 

  19. M. J. Cui, H. Lu, H. Jiang, Z. Cao, and X. Meng, Sci. Rep. 7, 41990 (2017).

    Article  ADS  Google Scholar 

  20. Q. S. Mei and K. Lu, Prog. Mater. Sci. 52 (8), 1175 (2007).

    Article  Google Scholar 

  21. M. N. Magomedov, Tech. Phys. 61, 722 (2016).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Geothermal Problems, Dagestan Scientific Center, Russian Academy of Sciences, pr. Imama Shamilya 39a, Makhachkala, Dagestan, 367030, Russia

    M. N. Magomedov

Authors
  1. M. N. Magomedov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. N. Magomedov.

Additional information

Original Russian Text © M.N. Magomedov, 2018, published in Fizika Tverdogo Tela, 2018, Vol. 60, No. 5, pp. 970–977.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Magomedov, M.N. On the Calculation of the Debye Temperature and Crystal–Liquid Phase Transition Temperature of a Binary Substitution Alloy. Phys. Solid State 60, 981–988 (2018). https://doi.org/10.1134/S1063783418050190

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063783418050190

Search

Navigation