Skip to main content
Log in

Comparative Thermodynamic Prediction of Integral Properties of Six Component, Quaternary, and Ternary Systems

  • Published:
Metallurgical and Materials Transactions A Aims and scope Submit manuscript

Abstract

In the present study, the enthalpies of mixing associated with the liquid phase in Ni-Cr-Co-Al-Ti-Cu, Au-In-Sn-Zn, and In-Pd-Sn systems at a temperature of 2000 K (1727 °C) through the six components, ternary, and quaternary geometric models are calculated. The values calculated from different geometric models are compared with those obtained in the experiments. In this respect, the results of some thermodynamic prediction methods were applied to the six-component Ni-Cr-Co-Al-Ti-Cu system, the quaternary alloy Au-In0.45-Sn0.45-Zn0.1, and the subsystem ternary alloy In-Pd-Sn in the present study in order to analytically determine the integral properties associated with the six-component alloy systems in the liquid phase. The Chou’s general solution model and the traditional models of Toop, Colinet, Muggianu, and Kohler were included in the calculation for comparison and discussion. A comparison among the results of the models and experiments carried out for ternary and quaternary systems displays good mutual agreement.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. V. S. Sudavtsova: Russian Metallurgy (Metally), 1999, vol.5, pp. 118-120.

    Google Scholar 

  2. U. Thiedemann, M. Rösner-Khun, D. M. Matson, G. Kuppermann, K. Drewes, M. C. Flemings and M. G. Frohberg: Steel Reseearch, 1998, vol.69 (1), pp. 3-7.

    Google Scholar 

  3. G. I. Batalin, V. P. Kurach and V. S. Sudavtsova: Ukr. Khim. Zh. 1983, vol.49, pp. 547-548.

    Google Scholar 

  4. L. S. Chistyakov, K. V. Grigorovich and A. Ya. Stomakhin: Izv. Vyssh. Ucheb. Zaved., Cher. Metall., 1992, vol. 2, p. 102.

    Google Scholar 

  5. L. S. Chistyakov, A. Ya. Stomakhin and K. V. Grigorovich: Izv. Rossiiskoi Akademii Nauk, metally, 1993, vol.4, pp. 20-28.

    Google Scholar 

  6. S. W. Gilby and G. R. St. Pierre:Trans. Met. Soc. AIME,1969, vol. 245,pp. 1749-1758.

    Google Scholar 

  7. S. Wagner, D. J. Shade and G. R. St. Pierre: Metall. Trans., 1972, vol.3,pp. 47-50.

    Article  Google Scholar 

  8. E. Ichise, K. Shaw and S. Taniguchi: J. Mass. Spectrometry Soc. Japan, 1993, vol. 41, pp. 343-350.

    Article  Google Scholar 

  9. V. V. Samokhval and A. A. Vecher:Izv. Akad. Nauk, Metally, 1971, vol.6,pp. 118-120.

    Google Scholar 

  10. W. Johnson, K. Komarek and E. Miller:Trans. Met. Soc. AIME, 1968, vol.242, pp. 1685-1691.

    Google Scholar 

  11. W. Huang and Y. A. Chang: Intermetallics 1999, vol.7, pp.863-874.

    Article  Google Scholar 

  12. N. Dupin, I. Ansara and B. Sundman: CALPHAD 2001, vol.25, pp. 279-298.

    Article  Google Scholar 

  13. P. Broz, J. Bursik and R. Picha: Intermetallics 2002, vol. 10, pp. 635–639.

    Article  Google Scholar 

  14. D. Zivkovic, L. Balanovic, D. Manasijevic, A. Mitovski, A. Kostov, L. Gomidzelovi and Z. Zivkovic: J. Univ. Chem. Techn. Metallur., 2011, vol.46 (1), pp. 95-98.

    Google Scholar 

  15. D. Zivkovic and Z. Zivkovic:B. Chem. Techn. Macedonia, 2002, vol. 21 (1), pp. 65-73.

    Google Scholar 

  16. M. Palumbo, S. Curiotto and L. Battezzati: CALPHAD, 2006, vol.30,pp. 171-178.

    Article  Google Scholar 

  17. S. Curiotto, N.H. Pryds, E. Johnson and L. Battezzati: Metallur. Mater. Trans., 2006, vol. 37A, pp. 2361-2368.

    Article  Google Scholar 

  18. S. Curiotto, R. Greco, N.H. Pryds, E. Johnson and L. Battezzati: Fluid Phase Equilibria 2007, vol. 256, pp. 132–136.

    Article  Google Scholar 

  19. A. Boulouiz, M. El Moudane, M. Mekkaoui and A. Sabbar:J. Mater. Environ. Sci., 2014, vol. 5 (3), pp. 815-822.

    Google Scholar 

  20. A. Milosavljević, D. Živković, and P. Stolić: 15th Int. Res. Expert Conf., TMT 2011, Prague, Czech Republic, 12–18 September 2011.

  21. K. C. Chou: CALPHAD, 1995, vol.19 (3), pp. 315-325.

    Article  Google Scholar 

  22. F. Kohler: Monatsh. Chem. 1960, vol. 91, pp. 738–740.

    Article  Google Scholar 

  23. Y.M. Muggianu, M. Gambino and J.P. Bros: J. Chim. Phys. 1975, vol.72, pp. 83–88.

    Google Scholar 

  24. G.W. Toop: Trans. AIME,1965, vol.233, pp. 850–855.

    Google Scholar 

  25. C. Colinet: Ph.D. Thesis, Facultedes Sciences, Universitede Grenoble, 1967.

  26. C. K. Behera and M. Shamsuddin: Metall. Mater. Trans. B. 2008, vol. 39B pp. 551-560.

    Article  Google Scholar 

  27. A. Boulouiz and A. Sabbar: Thermochimica Acta, 2014, vol.575, pp. 151–158.

    Article  Google Scholar 

  28. C. Luef, H. Flandorfer and H. Ipser: Thermochimica Acta, 2004, vol.417, pp.47–57.

    Article  Google Scholar 

  29. G. H. Zhang, L. J. Wang and K. C. Chou: CALPHAD, 2010, vol.34, pp.504–509.

    Article  Google Scholar 

  30. G. H. Zhang and K. C. Chou: J. Solution Chem., 2010, vol. 39, pp. 1200-1212.

    Article  Google Scholar 

  31. K. C. Chou and S. K. Wei: Metall. Mater. Trans. B, 1997, vol.28, pp. 439–445.

    Article  Google Scholar 

  32. Z. Qiang, L. Wenchao and X.Hong: J. Mining Metall., 2000, vol.36, pp. 1–2.

    Google Scholar 

  33. H. Arslan: Physica B, 2014, vol.438, pp. 48-52.

    Article  Google Scholar 

  34. H. Arslan, A. Dogan and T. Dogan: The Physics of Metals and Metallography, 2013, vol. 114(12), pp. 1053–1060.

    Article  Google Scholar 

  35. L. Kaufman and H. Nesor: Z. Metallkd.1973, vol.64 pp. 249-257.

    Google Scholar 

  36. L. Kaufman and H. Nesor: CALPHAD, 1978, vol.2, pp. 325-348.

    Article  Google Scholar 

  37. Z. Liang and Z. Jin: CALPHAD, 1993, vol. 17(4), pp. 415-425.

    Article  Google Scholar 

  38. T.Miki, F. Ishii and M. Hino: Mater. Trans., 2003, vol. 44 (9), pp.1817-1823.

    Article  Google Scholar 

  39. J. C. Schuster and Y. Du: CALPHAD, 1999, vol.23, pp.393–408.

    Article  Google Scholar 

  40. X. J. Liu, Z. P. Jiang, C. P. Wang and K. Ishida: J. Alloys and Comp., 2009, vol.478, pp. 287-296.

    Article  Google Scholar 

  41. L. Kaufman and H. Nesor: CALPHAD, 1978, vol. 2, pp. 81–108.

    Article  Google Scholar 

  42. A.V. Davydov, U. R. Kattner, D. Josell, J. E. Blendell, R. M. Waterstrat, A. J. Shapiro and W. J. Boettinger (2001) Metall. Mater. Trans.,A, 32:2175–2186.

    Article  Google Scholar 

  43. W. T. Witusiewicz, A. A. Bondar, T. Hecht and T. Y. Velikanova:J. Alloys Compd., 2009, vol. 472, pp. 133–161.

    Article  Google Scholar 

  44. L. Gomidzelovic, I. Miajlovic, A. Kostov and D. Zirkovic: Hem. Ind., 2013, vol.67, pp. 157-164.

    Article  Google Scholar 

  45. K. Kumar, I. Ansara, P. Wollants and L. Delaey:Z. Metallkd., 1996, vol.87, 666-672.

    Google Scholar 

  46. D. Dezellus, R. Arroyave and S. Fries: Int. J. Mater. Res, 2011, vol.102, pp. 286-297.

    Article  Google Scholar 

  47. R. Arroyave, T. W. Eagar and L. Kaufman: J. Alloys Compd., 2003, vol.351, pp. 158–170.

    Article  Google Scholar 

  48. S. Hassam, D. Boa and J. Rgez: J Alloys and Comp., 2012, vol. 520, pp. 65-71.

    Article  Google Scholar 

  49. J. Wang, C. Leinenbach and M. Roth: J Alloys and Comp., 2009, vol.481 pp. 830-836.

    Article  Google Scholar 

  50. H.S. Liu, C.L. Liu, K. Ishida and Z.P. Jin: J Electronic Materials,2003, vol.32, pp. 1290-1295.

    Article  Google Scholar 

  51. H. S. Liu, K. Ishida, Z. P. Lin and Y. Du: Intermetallics, 2003, vol.11, pp. 987-994.

    Article  Google Scholar 

  52. R. Hultgren, P.D. Desai, D.T. Hawkins, M. Gleiser, and K.K. Kelley: in Selected Values of the Thermodynamic Properties of Binary Alloys, ASM In., Metals Park, OH, 1973.

    Google Scholar 

  53. M. Rechchach, A. Sabbar, H. Flandorfer and H. Ipser: Thermochimica Acta, 2010, vol.502 pp. 66–72.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hüseyin Arslan.

Additional information

Manuscript submitted May 14, 2014.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dogan, A., Arslan, H. Comparative Thermodynamic Prediction of Integral Properties of Six Component, Quaternary, and Ternary Systems. Metall Mater Trans A 46, 3753–3760 (2015). https://doi.org/10.1007/s11661-015-2888-2

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11661-015-2888-2

Keywords

Navigation