Skip to main content
Log in

Method for calculating coefficients of concentrational variations in lattice constants and the distribution of impurity atoms between sublattices in intermetallic compounds

  • Proceedings of the 7th International Conference “Phase Transitions and the Strength of Crystals”
  • Published:
Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A method is proposed for calculating coefficients of concentrational variations in lattice constants in solid solutions, based on first-principles determination of the total energy of solid solutions and the continual approximation in the solutions theory, allowing for the deformation interaction of impurity atoms due to distortions of the solvent crystal lattice.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Ruban, A.V., Baykov, V.I., Johansson, B., Dmitriev, V.V., and Blanter, M.S., Phys. Rev. B, 2010, vol. 82, p. 134110.

    Article  ADS  Google Scholar 

  2. Hoenberg, P. and Kohn, W., Phys. Rev. B, 1964, vol. 136, p. B864; Kohn, W. and Sham, Z.I., Phys. Rev., 1965, vol. 140, p. A1133.

    Article  ADS  Google Scholar 

  3. Schönfeld, B., Engelke, M., and Ruban, A.V., Phys. Rev. B, 2009, vol. 79, p. 064201.

    Article  ADS  Google Scholar 

  4. Peil, O., Ruban, A.V., and Johansson, B., Phys. Rev. B, 2009, vol. 79, p. 024428.

    Article  ADS  Google Scholar 

  5. Bogdanov, V.I., Popov, V.A., Portnoi, V.K., and Ruban, A.V., Fiz. Met. Metalloved., 2012, vol. 113, no. 9, p. 876.

    Google Scholar 

  6. Ruban, A.V. and Skriver, H.L., Phys. Rev. B, 1997, vol. 55, p. 856.

    Article  ADS  Google Scholar 

  7. Razumovskii, I.M., Ruban, A.V., and Razumovskii, V.I., Mater. Sci. Eng. A, 2008, vol. 497, p. 18.

    Article  Google Scholar 

  8. Yoshinao Mishima, Shouichi Ochiai, and Tomoo Suzuki, Acta Metal., 1985, vol. 33, p. 1161.

    Article  Google Scholar 

  9. Morinaga, M., Sone, K., Kamimura, T., et al., J. Appl. Crystallogr., 1988, vol. 21, p. 41.

    Article  Google Scholar 

  10. Krivoglaz, M.A., Teoriya rasseyaniya rentgenovskikh luchei i teplovykh neitronov real’nymi kristallami (The Theory of X-rays and Thermal Neutrons Scattering by Real Crystals), Moscow: Nauka, 1967.

    Google Scholar 

  11. Khachaturyan, A.G., Teoriya fazovykh prevrashchenii i struktura tverdykh rastvorov (The Theory of Phase Transformations and the Structure of Solid Solutions), Moscow: Nauka, 1974.

    Google Scholar 

  12. Blöchl, P.E., Phys. Rev. B, 1994, vol. 50, p. 17953.

    Article  ADS  Google Scholar 

  13. Kresse, G. and Hafner, J., Phys. Rev. B, 1993, vol. 48, p. 13115; Kresse, G. and Furthmüller, J., Comp. Mater. Sci., 1996, vol. 6, p. 15.

    Article  ADS  Google Scholar 

  14. Perdew, J.P., Burke, K., and Ernzerhof, M., Phys. Rev. Lett., 1996, vol. 77, p. 3865.

    Article  ADS  Google Scholar 

  15. Monkhorst, H.J. and Pack, J.D., Phys. Rev. B, 1976, vol. 13, p. 5188.

    Article  MathSciNet  ADS  Google Scholar 

  16. Methfessel, M. and Paxton, A.T., Phys. Rev. B, 1989, vol. 40, p. 3616.

    Article  ADS  Google Scholar 

  17. Simmons, G. and Wang, H., Single Crystals Elastic Constants and Calculated Aggregated Properties, Cambridge: MIT Press, 1971.

    Google Scholar 

  18. Kubashevski, O. and Alcock, C.B., Metallurgical Thermochemistry, Oxford, New York, Toronto, Sydney, Paris, Frankfurt: Pergamon Press, 1979.

    Google Scholar 

  19. Portnoi, V.K., Leonov, A.V., Mudretsova, S.N., and Fedotov, S.A., Fiz. Met. Metalloved., 2010, vol. 109, no. 2, p. 165.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. I. Bogdanov.

Additional information

Original Russian Text © V.I. Bogdanov, V.A. Popov, V.K. Portnoi, A.V. Ruban, 2013, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2013, Vol. 77, No. 11, pp. 1631–1633.

About this article

Cite this article

Bogdanov, V.I., Popov, V.A., Portnoi, V.K. et al. Method for calculating coefficients of concentrational variations in lattice constants and the distribution of impurity atoms between sublattices in intermetallic compounds. Bull. Russ. Acad. Sci. Phys. 77, 1360–1362 (2013). https://doi.org/10.3103/S1062873813110075

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1062873813110075

Keywords

Navigation