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Phonons and martensitic phase transitions in disordered Li−Mg alloys

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Zeitschrift für Physik B Condensed Matter

Abstract

We present a calculation of the phonon spectra and of the martensitic transition temperature for the bcc»hcp transformation in Li−Mg alloys. The treatment is based ona. pseudopotential-derived interatomic forces,b. a cluster relaxation technique for determining the static distortions of the mean crystal lattice in a substitutional alloy, andc. a recursion method for calculating the spectral functions and vibrational densities of state. We report that the observed variation of the martensitic temperature with concentration results from a delicate interplay of electronic and vibrational effects.

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References

  1. Barrett, C.S.: Acta Crystallogr.9, 671 (1956)

    Google Scholar 

  2. MacCarthy, C.M., Thompson, C.W., Werner, S.A.: Phys. Rev. B22, 574 (1980)

    Google Scholar 

  3. Overhauser, A.W.: Phys. Rev. Lett.53, 64 (1984)

    Google Scholar 

  4. Barett, C.S., Trautz, O.R.: Trans. AIME175, 579 (1948)

    Google Scholar 

  5. Zener, C.: Phys. Rev.71, 846 (1947)

    Google Scholar 

  6. Pynn, R., Ebbsjö, I.: J. Phys. F1, 744 (1971)

    Google Scholar 

  7. Straub, G.K., Wallace, D.C.: Phys. Rev. B3, 1234 (1971)

    Google Scholar 

  8. Kelly, M.J.: J. Phys. F9, 1921 (1979)

    Google Scholar 

  9. Hafner, J.: Z. Phys. B-Condensed Matter and Quanta24, 41 (1976)

    Google Scholar 

  10. Blaschko, O., Krexner, G.: Phys. Rev. B30, 1667 (1984)

    Google Scholar 

  11. Ernst, G., Artner, C., Blaschko, O., Krexner, G.: Phys. Rev. B33, 6465 (1986)

    Google Scholar 

  12. Hafner, J.: J. Phys. F6, 1243 (1974)

    Google Scholar 

  13. Hafner, J., Punz, G.: J. Phys. F13, 1393 (1983)

    Google Scholar 

  14. Hafner, J.: Phys. Rev. B28, 678 (1983

    Google Scholar 

  15. For a general survey of the recursion technique see (a) the papers by Heine, V., Haydock, R., Kelly, M.J.: In: Solid state physics-advances in research and application. Ehrenreich, H., Turnbull, D., Seitz, F. (eds): Vol. 35 New York: Academic Press 1981 (b) Pettifor, D.G., Weaire, D.L. (eds.). In: Springer Series in Solid State Sciences. Vol. 58: The recursion method and its application. Berlin, Heidelberg, New York: Springer 1985

    Google Scholar 

  16. Hafner, J., Punz, G.: Phys. Rev. B30, 7336 (1984)

    Google Scholar 

  17. Punz, G., Hafner, J.: Z. Physik B-Condensed Matter81, 231 (1985)

    Google Scholar 

  18. Harrison, W.A.: In: Pseudopotentials in the theory of metals, New York: Benjamin, 1966

    Google Scholar 

  19. Vashishta, P., Singwi, K.S.: Phys. Rev. B6, 875 (1972)

    Google Scholar 

  20. Hafner, J.: Z. Physik B-Condensed Matter and Quanta24, 351 (1976)

    Google Scholar 

  21. Hafner, J., Eschrig, H.E.: Phys. Stat. Solidi (b)72, 279 (1974)

    Google Scholar 

  22. Froyen, S., Herring, C.: J. Appl. Phys.52, 7165 (1981)

    Google Scholar 

  23. Beer, N., Pettifor, D.G.: In: The electronic structure of complex systems, Phariseau, P., Temmermann, W.M. (eds.) Vol. 113, p. 621 NATO-ASI series B, New York: Plenum Press, 1984

    Google Scholar 

  24. Nex, C.M.M.: J. Phys. A11, 653 (1978)

    Google Scholar 

  25. Oskotskii, V.S.: Fiz. Tverd. Tela9, 550 (1967) (Sov. Phys. Solid State9, 420 (1967)) Bredov, M.M., Katov, A.B., Okumura, N.M., Shakh-Budagov, V.S., ibid.9, 287 (1967) (ibid.9, 214 (1969))

    Google Scholar 

  26. Jepsen, O., Andersen, O.K.: Solid State Commun8, 1763 (1971)

    Google Scholar 

  27. Lehmann, G., Taut, M.: Phys. Stat. Solidi (b)54, 469 (1972)

    Google Scholar 

  28. Rath, J., Freeman, A.J.: Phys. Rev. B11, 2109 (1975)

    Google Scholar 

  29. The relation between both representations and their connection to the eigenstates of the system has been discussed in more detail in Ref. 14.

  30. Maradudin, A.A., Montroll, E.W., Weiss, G.H., Ipatova, I.P.: In: Solid State Physics. Suppl. 3, Theory of lattice dynamics in the harmonic approximation, Vol.83: New York: Academic Press, 1971

    Google Scholar 

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This work was supported by the Jubiläumsfonds der Österreichischen Nationalbank under project no. 2141

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Punz, G., Hafner, J. Phonons and martensitic phase transitions in disordered Li−Mg alloys. Z. Physik B - Condensed Matter 65, 465–475 (1987). https://doi.org/10.1007/BF01303768

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  • DOI: https://doi.org/10.1007/BF01303768

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