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Calculation of the titanium-aluminum phase diagram

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Abstract

The Ti-Al phase diagram has been calculated by optimization of Gibbs energies with respect to phase diagram and thermochemical data.T 0 curves, the locus of compositions and temperatures where the Gibbs energies of the liquid and one of the solid phases are equal, have been calculated over the entire composition range. In order to assure physically reasonable extrapolations of theT 0 curves of the ordered phases far from their equilibrium stability ranges, the Bragg-Williams approximation was used to provide start values for the empirical optimizations. This approximation led to good convergence of the optimizations, and only small deviations from the Bragg-Williams Gibbs energies were needed to obtain excellent agreement with experimental data.

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References

  1. C. Sigli and J.M. Sanchez:Acta Metall., 1986, vol. 34, no. 6, pp. 1021–28.

    CAS  Google Scholar 

  2. D. deFontaine and R. Kikuchi: NBS Publication SP-496, 1978, p. 999.

  3. R. Kikuchi and C.M. van Baal:Scripta Metall., 1974, vol. 8, pp. 425–30.

    Article  CAS  Google Scholar 

  4. H.L. Lukas, E.-Th. Henig, and B. Zimmerman:CALPHAD, 1977, vol. 1, p. 225.

    Article  CAS  Google Scholar 

  5. H.L. Lukas, J. Weiss, and E.-Th. Henig:CALPHAD, 1982, vol. 6, p. 235.

    Article  Google Scholar 

  6. B. Sundman, B. Jansson, and J.-O. Anderson:CALPHAD, 1985, vol. 9, no. 2, pp. 153–90.

    Article  CAS  Google Scholar 

  7. J. L. Murray: “Binary Titanium Alloy Phase Diagram Compilation,≓ Final Technical Report to the Office of Naval Research, Project No. N00014-85-F-0069, 1985.

  8. J. M. Sanchez and D. DeFontaine:Phys. Rev. B, 1986, vol. 21, no. 1, pp. 216–28.

    Article  Google Scholar 

  9. Yu. O. Esin, N. P. Bobrov, M. S. Petrushevskii, and P. V. Geld:Teplofizika Ygokikh Temperatur, 1975, vol. 13(1), pp. 84–88.

    CAS  Google Scholar 

  10. O. Kubaschewski and W. A. Dench:Acta Metall., 1955, vol. 3, pp. 339–46.

    Article  CAS  Google Scholar 

  11. W. Manchot and A. Leber:Z. Anorg. Chem., 1926, vol. 150, pp. 26–34.

    CAS  Google Scholar 

  12. E. S. Bumps, H. D. Kessler, and M. Hansen:Trans. AIME, 1952, vol. 194, pp. 609–14.

    Google Scholar 

  13. J. Cisse, H. W. Kerr, and G. F. Boiling:Metall. Trans., 1974, vol. 5, pp. 633–41.

    Article  CAS  Google Scholar 

  14. M. Heckler:Aluminum (Düsseldorf), 1974, vol. 50 (6), pp. 405–07.

    CAS  Google Scholar 

  15. E. W. Collings:Metall, Trans. A, 1979, vol. 10A, pp. 463–74.

    CAS  Google Scholar 

  16. K. Shibaba, T. Sato, and G. Ohira:J. Crystal Growth, 1978, vol. 44, pp. 435–45.

    Article  Google Scholar 

  17. R. D. Shull, A. J. McAlister, and R. Reno:Proc. Fifth Internatl. Conf. on Titanium, G. Lütjering, U. Zwicker, and W. Bunk, eds., Munich, Sept. 10–14, 1983.

  18. M. J. Blackburn:Trans. AIME, 1967, vol. 239, pp. 1200–08.

    CAS  Google Scholar 

  19. G. Lütjering and S. Weissmann:Acta Metall., 1970, vol. 18, pp. 785–95.

    Article  Google Scholar 

  20. A.N. Wilson:Thermodynamics and Statistical Mechanics, Cam- bridge University Press, 1957, ch. 14.

  21. L. Kaufman:CALPHAD, 1977, vol. 1, pp. 7–89; L. Kaufman and N. Nesor:CALPHAD, 1978, vol. 2, pp. 325-48.

    Article  Google Scholar 

  22. R. Strychor and J. C. Williams:Proc. Internatl. Conf. on Solid-Solid Phase Transformations, H.I. Aaronson, DE. Laughlin, R. F. Sekerka, and CM. Wayman, eds., TMS-AIME, 1982, p. 249.

  23. J.A. Graves, J. Perepezko, C. H. Ward, and F. H. Froes: private communication, 1986.

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Murray, J.L. Calculation of the titanium-aluminum phase diagram. Metall Trans A 19, 243–247 (1988). https://doi.org/10.1007/BF02652532

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