Skip to main content
Log in

A new thermodynamic description of the Cu-Zr system

  • Published:
Journal of Phase Equilibria

Abstract

An optimized set of thermodynamic functions for the Cu-Zr system was obtained by the least squares method from phase diagram and thermodynamic data available in the literature. The excess Gibbs energies of the solution phases, liquid, and three terminal solid solutions, were described by the Redlich-Kister formula. All the intermediate compounds were treated as stoichiometric phases. The calculated phase diagram, as well as the thermodynamic properties vs compositions, agree well with the experimental values. The reliability of the optimized parameters was examined using μ-T plots.

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

Cited References

  1. A.V. Nadkarni and E.P. Weber,Weld. J.,56,331–338 (1977).

    Google Scholar 

  2. V.K. Sarin and N.J. Grant,Powder Metall. Int.11,153–157(1979).

    Google Scholar 

  3. High Conductivity Copper and Aluminum Alloys, E. Ling and P.W. Taubenblat, Ed., The Metallurgical Society, Warrendale, PA(1984).

    Google Scholar 

  4. W.C. Shumay, Jr.,Adv. Mater. Process, inc. Met. Prog.,132,54–60 (1987).

    Google Scholar 

  5. N. Saunders,Calphad, 9, 297–309 (1985).

    Article  MathSciNet  Google Scholar 

  6. R. Luoma and J. Talja, Report TKK-V-B61, Helsinki University of Technology, Helsinki, Finland (1991).

  7. R. Bormann, F. Gärtner, and F. Haider,Mater. Sci. Eng., 97, 79–81 (1988).

    Article  Google Scholar 

  8. M. Hansen and K. Anderko,Constitution of Binary Alloys, McGraw-Hill Book Co., New York, 655–657 (1958).

    Google Scholar 

  9. R.P. Elliott,Constitution of Binary Alloys, First Supplement, McGraw-Hill Book Co., New York, 391 (1965).

    Google Scholar 

  10. F.A. Shunk,Constitution of Binary Alloys, Second Supplement, McGraw-Hill Book Co., New York, 302–303 (1969).

    Google Scholar 

  11. J. Kleppa and S. Watanabe,Metall.Trans. B, 13,391–401 (1982).

    Article  Google Scholar 

  12. I. Ansara, A. Pasturel, and K.H. Buschow,Phys. Status Solidi (a), 69, 447–453(1982).

    Article  ADS  Google Scholar 

  13. T. Massalski, J.L. Murray, L.H. Bennett, and H. Baker,Binary Alloy Phase Diagrams, Vol. 1, American Society for Metals, Metals Park, OH, 982 (1986).

    Google Scholar 

  14. E. Kneller. Y. Khan, and U. Gonts,Z.Metallkd.,77,43–48(1986).

    Google Scholar 

  15. A.T. Dinsdale,Calphad, 15,317–425 (1991).

    Article  Google Scholar 

  16. J.L. Glimois, P. Forey, and J.L. Feron,.J. Less-Common Met.,113, 213–224(1985).

    Article  Google Scholar 

  17. S.V. Sudavtsova, G.I. Batalin, A.V. Kalnykov, and F. Kuznetsov,Sov. Non-Ferrous Met. Res., No. 11, 492–493 (1983).

  18. F. Sommer and D.K. Choi,Z. Metallkd.,80,263–269 (1989).

    Google Scholar 

  19. G.M. Kuznetsov, V.N. Fedorov, A.L. Rodnyanskaya, and A.V. Nikonova,Sov. Non-Ferrous Met. Res., No. 6,91 -94 (1978).

  20. M. Y.-W. Lou and N.J. Grant,Metal!. Trans. A, 15, 1491–1493 (1984).

    Article  Google Scholar 

  21. D. Arias and J.P. Abriata,Bull. Alloy Phase Diagrams, 11(5), 452- 459(1990).

    Article  Google Scholar 

  22. J.M. Vitek,Z. Metallkd, 67,559–563 (1976).

    Google Scholar 

  23. M.J. Saarivina,Trans. Metall. Soc. AIME,218,431–437(1960).

    Google Scholar 

  24. U. Zwicker,Metall.,16, 409–412 (1962).

    Google Scholar 

  25. I. Kawakatsu, H. Suzuki, and H. Kitano,J.Jpn. Inst. Met.,31,1253- 1257(1967).

    Article  Google Scholar 

  26. A. Mance and A. Mihajlovic,J. Appl. Electrochem.,II, 299–303 (1981).

    Article  Google Scholar 

  27. E. Allibone and C. Sykes,J.Inst. Met.,39,173–189(1928).

    Google Scholar 

  28. S.A. Pogodin, I.S. Shumova, and F.A. Kugucheva,C. R. Acad. Sci. URSS, 27,670–672 (1940).

    Google Scholar 

  29. E. Raub and M. Engel,Z. Metallkd., 39, 172–177 (1948).

    Google Scholar 

  30. C.E. Lundin, D.J. McPherson, and M. Hansen,Trans. AIME, 197, 273–278(1953).

    Google Scholar 

  31. H. Kimura, Y. Minobe, S. Uehera, K. Honma, and N.K. Gakkaishi,J. Jpn. Inst. Met.,37,552–557 (1973).

    Article  Google Scholar 

  32. M.J. Donachie,J. Inst. Met.,92,180(1963-1964).

    Google Scholar 

  33. P. Forey, J.L. Glimois, and J.L. Feron,J. Less-Common Met.,124, 21–27(1986).

    Article  Google Scholar 

  34. G. von Hillmann and W. Hofmann,Z. Metallkd.,56, 279–286 (1965).

    Google Scholar 

  35. L. Meny, M. Champigny, R. Beltrando, and P. Salaun,J. Microsc.,6, 111–112(1967).

    Google Scholar 

  36. A.J. Perry and W. Hugi,J. Inst. Met.,100,378–380 (1972).

    Google Scholar 

  37. V.A. Phillips, Metallography,7, 137–155 (1974).

    Article  Google Scholar 

  38. P. Forey, J.L. Glimois, J.L. Feron, G. Devely, and C. Becle,C.R. Acad. Sci. (Paris), 291, 177–178(1980).

    Google Scholar 

  39. L. Arnberg, U. Backmark, N. Bäckström, and J. Lange,Mater. Sci. Eng.,83, 115–121(1986).

    Article  Google Scholar 

  40. R.P. Singh, A. Lawley, S. Friedman, and Y.V. Murty,Mater. Sci. Eng. A, 145,243–255 (1991).

    Article  Google Scholar 

  41. J.P. Gabathuler, P. White, and E. Parthe,Acta Crystallotgr.B,31,608–610(1975).

    Article  Google Scholar 

  42. L. Bsenko,J. Less-Common Met.,40,365–366 (1975).

    Article  Google Scholar 

  43. L. Bsenko,Acta Crystallogr. B,32,2220–2224 (1976).

    Article  Google Scholar 

  44. R.N. Auguston, U.S. Atomic Energy Commission Publ. AECD-3456, Ames Laboratory (1950).

  45. W. Showak,Trans. Metall. Soc. AIME, 224,1297–1298(1962).

    Google Scholar 

  46. D.L. Douglass and R.E. Morgan,Trans. Metall. Soc. AIME, 215, 869–870(1959).

    Google Scholar 

  47. A.M. Korol’kov and E.V. Lysova,Strukturai Svoistva Legt Splavov, Nauka, Moscow, 17–20 (1971).

  48. E.M. Carvalho and I.R. Harris,J.Mater. Sci.,15,1224–1230(1980).

    Article  ADS  Google Scholar 

  49. O. Redlich and A.T. Kister,Ind.Eng. Chem.,40,345–348 (1948).

    Article  Google Scholar 

  50. H.L. Lukas and S.G. Fries,J. Phase Equilibria, 13(5), 532–541 (1992).

    Article  Google Scholar 

  51. H.L. Lukas, E.-Th. Henig, and B. Zimmermann,Calphad, 1, 225- 236 (1977).

    Article  Google Scholar 

  52. K.H.J. Buschow,J. Phys. F 14,593 (1984).

    Article  ADS  Google Scholar 

  53. R. Hultgren, P.D. Desai, D.T. Hawkins, M. Gleiser, K.K. Kelley, and D.D. Wagmann,Selected Values of the Thermodynamic Properties of the Elements, American Society for Metals, Metals Park, OH (1973).

    Google Scholar 

  54. A. F. Guillermet.,High Temp.-High Press.,19,119–160(1987).

    Google Scholar 

  55. R.P. Singh and A. Lawley,Metall. Trans. A, 23,3393–3394 (1992).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zeng, K.J., Hämäläinen, M. & Lukas, H.L. A new thermodynamic description of the Cu-Zr system. JPE 15, 577–586 (1994). https://doi.org/10.1007/BF02647618

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02647618

Keywords

Navigation