Skip to main content
Log in

Long-period incommensurate superstructures in Cu-Au alloys: Relation with short-period ordering

  • Solids
  • Structure
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

The nature of the stability of incommensurate long-period structures in alloys of the system Cu-Au is investigated on the basis of first-principles calculations of the electronic structure. It is shown that many structural properties of such formations can be explained only if the latter are treated as superstructures with respect to ordinary superstructures (L12 or L10): the electron spectrum of the superstructure and not that of the initial disordered alloy must serve as the initial spectrum. The observed dependence of the long period N on the degree η ?of the “short” long-range order is explained. The reasons why two-dimensional long-period superstructures from in the alloy Au3Cu are found. Arguments supporting the fact that among quasicrystalline substances long-period superstructures fall between incommensurate systems and quasicrystals are presented.

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. H. Sato, Sci. Rep. Res. Inst. Tohoku Univ., Ser. A 4, 1 (1952); 4, 169 (1952).

    Google Scholar 

  2. M. Guymont and D. Gratias, Phys. Status Solidi A 36, 329 (1976).

    Google Scholar 

  3. D. Watanabe, in Proceedings of the International Conference on Modulated Structures, Kailna Kona, Haw., 1979 (New York, 1979), p. 229.

  4. N. M. Matveeva and É. V. Kozlov, Ordered Phases in Metal Systems (Nauka, Moscow, 1989).

    Google Scholar 

  5. D. Broddin, G. van Tendeloo, J. van Landuyt, et al., Philos. Mag. 54, 395 (1986).

    Google Scholar 

  6. D. Watanabe and O. Terasaki, in Proceedings of the Phase Transformation Solids Symposium, Maleme-Chania, Crete, 1983 (New York, 1984), p. 231.

  7. A. I. Potekaev, Izv. Vyssh. Uchebn. Zaved. Fiz., No.6, 3 (1995).

  8. J. C. Slater, Phys. Rev. 84, 179 (1951).

    ADS  Google Scholar 

  9. J. E. Nicolas, J. Phys. Soc. (London) Sect. A 66, 201 (1953).

    ADS  Google Scholar 

  10. N. F. Mott and H. Jones, The Theory of the Properties of Metals and Alloys (Oxford Univ. Press, London, 1936).

    Google Scholar 

  11. H. Sato and R. S. Toth, Phys. Rev. 124, 1833 (1961).

    Article  ADS  Google Scholar 

  12. H. Sato and R. S. Toth, Phys. Rev. 127, 469 (1962).

    ADS  Google Scholar 

  13. R. S. Toth and H. Sato, J. Appl. Phys. 33, 3250 (1962).

    Article  Google Scholar 

  14. M. Tachiki and K. Teramoto, J. Phys. Chem. Solids 28, 375 (1966).

    Google Scholar 

  15. V. M. Dement’ev and É. V. Kozlov, Izv. Vyssh. Uchebn. Zaved. Fiz., No. 6, 21 (1973).

  16. V. M. Dement’ev and É. V. Kozlov, Izv. Vyssh. Uchebn. Zaved. Fiz., No. 6, 30 (1974).

  17. D. A. Vul’ and M. A. Krivoglaz, Fiz. Met. Metalloved. 51, 231 (1981).

    Google Scholar 

  18. D. A. Vul’ and M. A. Krivoglaz, Fiz. Met. Metalloved. 55, 869 (1983).

    Google Scholar 

  19. M. A. Krivoglaz, Zh. Éksp. Teor. Fiz. 84, 355 (1983) [Sov. Phys. JETP 57, 205 (1983)].

    Google Scholar 

  20. M. A. Krivoglaz, Diffuse Scattering of X-rays and Neutrons by Fluctuation Nonuniformities in Nonideal Crystals (Naukova Dumka, Kiev, 1984).

    Google Scholar 

  21. R. E. Peierls, Quantum Theory of Solids (Oxford Univ. Press, London, 1955).

    Google Scholar 

  22. A. G. Khachaturyan, The Theory of Phase Transformations and the Structure of Solids Solutions (Nauka, Moscow, 1974).

    Google Scholar 

  23. É. V. Kozlov, V. M. Dement’ev, N. M. Kormin, et al., Structure and Stability of Ordered Phases (Tomsk. Gos. Univ., Tomsk, 1994).

    Google Scholar 

  24. S. Yu. Savrasov and D. Yu. Savrasov, Phys. Rev. B 46, 12181 (1992).

  25. U. Barth and L. Hedin, J. Phys. C 5, 1629 (1972).

    Article  ADS  Google Scholar 

  26. J. Rath and A. J. Freeman, Phys. Rev. B 11, 2109 (1975).

    Article  ADS  Google Scholar 

  27. W. Heine, M. Cohen, and D. Weaire, The Pseudopotential Concept; The Fitting of Pseudopotential to Experimental Data and Their Subsequent Application: Pseudopotential Theory of Cohesion and Structure (McCraw-Hill, New York, 1970; Mir, Moscow, 1973).

    Google Scholar 

  28. G. Nilsson and S. Rolandson, Phys. Rev. B 9, 3278 (1974).

    Article  ADS  Google Scholar 

  29. M. R. Halse, Philos. Trans. R. Soc. London, Ser. A 265, 507 (1969).

    ADS  Google Scholar 

  30. O. I. Velikokhatnyi, S. V. Eremeev, I. I. Naumov, et al., Pis’ma Zh. Éksp. Teor. Fiz. 69, 548 (1999) [JETP Lett. 69, 589 (1999)].

    Google Scholar 

  31. H. Chou, S. M. Shapiro, S. C. Moss, et al., Phys. Rev. B 42, 500 (1990).

    ADS  Google Scholar 

  32. Y. Noda, D. Kumar, and K. I. Oschima, J. Phys.: Condens. Matter 5, 1655 (1993).

    Article  ADS  Google Scholar 

  33. V. I. Iveronova and A. A. Katsnel’son, Short-Range Order in Solid Solutions (Nauka, Moscow, 1977).

    Google Scholar 

  34. W. L. McMillan, Phys. Rev. B 14, 1496 (1976).

    Article  ADS  Google Scholar 

  35. W. L. McMillan, Phys. Rev. B 16, 4655 (1977).

    ADS  Google Scholar 

  36. L. N. Bulaevskii and D. I. Khomskii, Zh. Éksp. Teor. Fiz. 74, 1863 (1978) [Sov. Phys. JETP 47, 971 (1978)].

    Google Scholar 

  37. J. Friedel and F. Denoyer, C. R. Acad. Sci., Ser. 2 305, 171 (1987).

    Google Scholar 

  38. J. E. S. Sokolar, T. C. Lubensky, and P. J. Steihardt, Phys. Rev. B 34, 3345 (1986).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 117, No. 3, 2000, pp. 548–558.

Original Russian Text Copyright © 2000 by Velikokhatny\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \), Eremeev, Naumov, Potekaev.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Velikokhatnyi, O.I., Eremeev, S.V., Naumov, I.I. et al. Long-period incommensurate superstructures in Cu-Au alloys: Relation with short-period ordering. J. Exp. Theor. Phys. 90, 479–487 (2000). https://doi.org/10.1134/1.559129

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.559129

Keywords

Navigation