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Enthalpy of Mixing of Liquid Cu-Fe-Zr Alloys at 1873 K (1600 °C)

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Abstract

The enthalpies of mixing of liquid Cu-Fe-Zr alloys were determined at 1873 K (1600 °C) by using a high-temperature isoperibolic calorimeter. The measurements were performed along sections x Cu/x Fe = 3/1, 1/1, 1/3 in the composition range x Zr = 0 to 0.55. The limiting partial enthalpies of mixing of undercooled liquid zirconium in liquid Cu-Fe alloys are (–91.8 ± 8.4) kJ mol−1 (section x Cu/x Fe = 3/1), (–94.1 ± 12.8) kJ mol−1 (section x Cu/x Fe = 1/1), and (–107.3 ± 15.6) kJ mol−1 (section x Cu/x Fe = 1/3). The integral mixing enthalpies are sign changing over the investigated composition range. The Redlich–Kister–Muggianu polynomial was used for the least square fit of the experimental results in order to obtain an analytical expression for the integral mixing enthalpy.

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References

  1. M. Taniwaki, E. Hatta, and M. Maeda: Mater. Sci. Eng., 1988, vol. 99, no. 1, pp. 285–88.

    Article  Google Scholar 

  2. S. Michalik, K. Saksl, P. Sovak, K. Csach, and J.Z. Jiang: J. Alloys Compd., 2009, vol. 478, pp. 441–46.

    Article  Google Scholar 

  3. S. Buzzi, K. Jin, P.J. Uggowitzer, S. Tosatti, I. Gerber, and J.F. Löffler: Intermetallics, 2006, vol. 14, pp. 729-34.

    Article  Google Scholar 

  4. L. Liu, C.L. Qiu, C.Y. Huang, Y. Yua, H. Huang, and S.M. Zhang: Intermetallics, 2009, vol. 17, pp. 235–40.

    Article  Google Scholar 

  5. J. Schroers, G. Kumar, T.M. Hodges, S. Chan, and T.R. Kyriakides: JOM, 2009, vol. 61, pp. 21-29.

    Article  Google Scholar 

  6. J. Pan, K.C. Chan, Q. Chen, N. Li, S.F. Guo, and L. Liu: J. Alloys Compd., 2010, vol. 504S, pp. S74–S77.

    Article  Google Scholar 

  7. J. Pan, L. Liu, and K.C. Chan: Scripta. Mater., 2009, vol. 60, pp. 822–25.

    Article  Google Scholar 

  8. D.V. Louzguine-Luzgin, G. Xie, Q. Zhang, and A. Inoue: Philos. Mag., 2010, vol. 90, pp. 1955–68.

    Article  Google Scholar 

  9. T. Nagase, A. Yokoyama, and Y. Umakoshi: J. Alloys Compd., 2010, vol. 494, pp. 295-300.

    Article  Google Scholar 

  10. A. Inoue: Acta Mater., 2000, vol. 48, pp. 279–306.

    Article  Google Scholar 

  11. D.H. Kim, W.T. Kim, E.S. Park, N. Mattern, and J. Eckert, Prog. Mater. Sci., 2013, vol. 58, pp. 1103–72.

    Article  Google Scholar 

  12. H.J. Chang, W. Yook, E.S. Park, J.S. Kyeong, and D.H. Kim: Acta Mater., 2010, vol. 58, pp 2483–91.

    Article  Google Scholar 

  13. Y. Yu, Y. Takaku, M. Nagasako, C.P. Wang, X.J. Liu, R. Kainuma, and K. Ishida: Intermetallics, 2012, vol. 25, pp. 95–100.

    Article  Google Scholar 

  14. A.A. Turchanin, I.A. Tomilin, M.A. Turchanin, I.V. Belokonenko, and P.G. Agraval: J. Non-Cryst. Solids, 1999, vol. 250–252, pp. 582–85.

    Article  Google Scholar 

  15. M.A. Turchanin, P.G. Agraval, and A.R. Abdulov: Rasplavy, 2006, no. 6, pp. 25–29 (in Russian).

  16. K. H. J. Buschow: J. Appl. Phys., 1981, vol. 52, pp. 3319–23.

    Article  Google Scholar 

  17. I. Ansara, A. Pasturel, and K.H.J. Buschow: Phys. Status Solidi A, 1982, vol. 69, no. 2, pp. 447–53.

    Article  Google Scholar 

  18. E. Kneller, Y. Khan, and U. Gorres: Z. Metallkd. 1986, vol. 77, pp. 152–63.

    Google Scholar 

  19. X.D. Liu, X.B. Liu, and Z. Altounian: J. Non-Cryst. Solids, 2005, vol. 351, no. 6, pp. 604–11.

    Article  Google Scholar 

  20. Wang D, Li Y, Sun BB, Sui ML, Lu K, Ma E (2004) Appl. Phys. Lett. 24(20):4029–31.

    Article  Google Scholar 

  21. D. Xu, B. Lohwongwatana, G. Duan, L.W. Johnson, and C. Garland: Acta Mater., 2004, vol. 52, pp. 2621–24.

    Article  Google Scholar 

  22. M.A. Turchanin, P.G. Agraval, and I.V. Nikolaenko: J. Phase Equilib., 2003, vol. 24, no. 3, pp. 307–19.

    Article  Google Scholar 

  23. Y. Nakagawa: Acta Metall., 1958, vol. 6, pp. 704–11.

    Article  Google Scholar 

  24. S.P. Elder, A. Munitz, and G.J. Abbaschian: Mater. Sci. Forum, 1989, vol. 50, pp. 137–50.

    Article  Google Scholar 

  25. J. He, J.Z. Zhao, and L. Ratke: Acta Mater., 2006, vol. 54, pp. 1749–57.

    Article  Google Scholar 

  26. N. Liu: J. Non-Cryst. Solids, 2012, vol. 358, pp. 196–99.

    Article  Google Scholar 

  27. A. El-Khasan, K. Abdel-Aziz, A.A. Vertman, and A.N. Samarin: Izv. Akad. Nauk SSSR, Met., 1966, no. 3, pp. 19–30 (in Russian).

  28. Y. Iguchi, Y. Tozaki, M. Kakizaki, T. Fuwa, and S. Ban-ya: Tetsu to Hagane, 1981, vol. 67, no. 7, pp. 925–32.

    Google Scholar 

  29. Y. Tozaki, Y. Iguchi, B.-Y. Shiro, and T. Fuwa: in Chemical Metallurgy of Iron and Steel, Proc. Int. Symp. Metall. Chem., Applications in Ferrous Metals, Sheffield, United Kingdom, July 19–21, 1971, Iron and Steel Institute, London, 1973, pp. 130–32.

  30. Oelsen W, Schurmann E, Florin C (1961) Arch. Eisenhütten. 32(10):719–28 (in German)

    Google Scholar 

  31. A. Podgornik, quoted by W. Oelsen, E. Schurmann, and C. Florin: Arch. Eisenhüttenwes., 1961, vol. 32, no. 10, pp. 719–28 (in German).

  32. F. Wooley and J.F. Elliot: Trans. TMS-AIME, 1967, vol. 239, no. 12, pp. 1872–83.

    Google Scholar 

  33. G.I. Batalin and V.S. Sudavtsova: Izv. Akad. Nauk SSSR. Met., 1980, no. 2, pp. 45–49 (in Russian).

  34. I.V. Nikolaenko and M.A. Turchanin: Metall. Mater. Trans. B, 1997, vol. 28B, no. 6, pp. 1119–30.

    Article  Google Scholar 

  35. Frohberg MG, Betz G (1980) Arch. Eisenhütten. 51(6):235–40

    Google Scholar 

  36. O.J. Kleppa and S. Watanabe: Metall. Trans. B, 1982, vol. 13B, no. 3, pp. 391–401.

    Article  Google Scholar 

  37. K. Yamaguchi, Y.-C. Song, T. Yoshida, and K. Itagaki: J. Alloys Compd., 2008, vol. 452, pp. 73–79.

    Article  Google Scholar 

  38. F. Sommer and D. K. Choi: Z. Metallkd., 1989, vol. 80, no. 4, 263–69.

    Google Scholar 

  39. V.S. Sudavtsova, G.I. Batalin, A.V. Kalmykov, and F.F. Kuznetsov: Izvest. VUZ, Tsvetn. Metall., 1983, no. 6, pp. 107–08 (in Russian).

  40. V. Witusievicz, I. Arpshofen, and F. Sommer: Z. Metallkd., 1997, vol. 88, no. 11, pp. 866–72.

    Google Scholar 

  41. O.Yu. Sidorov, M.G. Valishev, Yu.O. Esin, P.V. Gel’d, V.M. Zamyatin, and A.Ya. Dubrovskii: Izv. Akad. Nauk SSSR. Met., 1990, no. 4, pp. 192–94.

  42. V.S. Sudavtsova, V.P Kurach, and G.I. Batalin: Metally, 1987, no. 3, pp. 60–61 (in Russian).

  43. H. Wang and R. Lück: J. Non Cryst. Solids, 1996, vol. 205–207, pp. 417–20.

    Article  Google Scholar 

  44. O.Yu. Sidorov, M.G. Valishev, Yu.O. Esin, and P.V. Gel’d: Metally, 1988, no. 6, pp. 23–25 (in Russian).

  45. M. Rösner-Kuhn, J. Qin, K. Schaefers, U. Thiedemann, and M.G. Froehberg: Z. Metallkd., 1995, vol. 86, no. 10, pp. 682–85.

    Google Scholar 

  46. M.A. Turchanin and I.V. Nikolaenko: J. Alloys Compd., 1996, vol. 235, pp. 128–32.

    Article  Google Scholar 

  47. A.T. Dinsdale: CALPHAD, 1991, vol. 15, no. 4, pp. 317–25.

    Article  Google Scholar 

  48. Y.M. Muggianu, M. Gambino, and J.P. Bros: J. Chim. Phys., 1975, vol. 72, no. 1, pp. 83–88.

    Google Scholar 

  49. J.E. Huheey, E.A. Keiter, R.L. Keiter: Inorganic chemistry, principles of structure and reactivity, 4 th ed., Harper Collins College Publishers, New York, NY, 1993, pp. 187–89.

    Google Scholar 

  50. G.W.Toop: Trans. Metall. Soc. AIME, 1965, vol. 233, pp. 850–55.

    Google Scholar 

  51. F. Kohler: Monatsh. Chem., 1960, vol. 91, pp. 738–40.

    Article  Google Scholar 

  52. A.R. Miedema: Z. Metallkd., 1979, vol. 70, pp. 345–53.

    Google Scholar 

  53. L.J. Gallego, J.A. Somoza, and J.A. Alonso: J. Phys.: Condens. Matter., 1990, vol. 2, pp. 6245–50.

    Google Scholar 

  54. A.K. Niessen, F.R. de Boer, R. Boom, P.F. Chatel, W.C.M. Mattens, and A.R. Miedema: CALPHAD, 1983, vol. 7, pp. 51–70.

    Article  Google Scholar 

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Acknowledgments

This work was supported by the Ministry of Education and Science of Ukraine under the Grant 0112U001245.

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Correspondence to Liya A. Dreval.

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Manuscript submitted December 6, 2013.

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Dreval, L.A., Agraval, P.G. & Turchanin, M.A. Enthalpy of Mixing of Liquid Cu-Fe-Zr Alloys at 1873 K (1600 °C). Metall Mater Trans B 46, 2234–2245 (2015). https://doi.org/10.1007/s11663-015-0383-1

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