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.
Similar content being viewed by others
References
Barrett, C.S.: Acta Crystallogr.9, 671 (1956)
MacCarthy, C.M., Thompson, C.W., Werner, S.A.: Phys. Rev. B22, 574 (1980)
Overhauser, A.W.: Phys. Rev. Lett.53, 64 (1984)
Barett, C.S., Trautz, O.R.: Trans. AIME175, 579 (1948)
Zener, C.: Phys. Rev.71, 846 (1947)
Pynn, R., Ebbsjö, I.: J. Phys. F1, 744 (1971)
Straub, G.K., Wallace, D.C.: Phys. Rev. B3, 1234 (1971)
Kelly, M.J.: J. Phys. F9, 1921 (1979)
Hafner, J.: Z. Phys. B-Condensed Matter and Quanta24, 41 (1976)
Blaschko, O., Krexner, G.: Phys. Rev. B30, 1667 (1984)
Ernst, G., Artner, C., Blaschko, O., Krexner, G.: Phys. Rev. B33, 6465 (1986)
Hafner, J.: J. Phys. F6, 1243 (1974)
Hafner, J., Punz, G.: J. Phys. F13, 1393 (1983)
Hafner, J.: Phys. Rev. B28, 678 (1983
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
Hafner, J., Punz, G.: Phys. Rev. B30, 7336 (1984)
Punz, G., Hafner, J.: Z. Physik B-Condensed Matter81, 231 (1985)
Harrison, W.A.: In: Pseudopotentials in the theory of metals, New York: Benjamin, 1966
Vashishta, P., Singwi, K.S.: Phys. Rev. B6, 875 (1972)
Hafner, J.: Z. Physik B-Condensed Matter and Quanta24, 351 (1976)
Hafner, J., Eschrig, H.E.: Phys. Stat. Solidi (b)72, 279 (1974)
Froyen, S., Herring, C.: J. Appl. Phys.52, 7165 (1981)
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
Nex, C.M.M.: J. Phys. A11, 653 (1978)
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))
Jepsen, O., Andersen, O.K.: Solid State Commun8, 1763 (1971)
Lehmann, G., Taut, M.: Phys. Stat. Solidi (b)54, 469 (1972)
Rath, J., Freeman, A.J.: Phys. Rev. B11, 2109 (1975)
The relation between both representations and their connection to the eigenstates of the system has been discussed in more detail in Ref. 14.
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
Author information
Authors and Affiliations
Additional information
This work was supported by the Jubiläumsfonds der Österreichischen Nationalbank under project no. 2141
Rights and permissions
About this article
Cite this article
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01303768