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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M. Taniwaki, E. Hatta, and M. Maeda: Mater. Sci. Eng., 1988, vol. 99, no. 1, pp. 285–88.
S. Michalik, K. Saksl, P. Sovak, K. Csach, and J.Z. Jiang: J. Alloys Compd., 2009, vol. 478, pp. 441–46.
S. Buzzi, K. Jin, P.J. Uggowitzer, S. Tosatti, I. Gerber, and J.F. Löffler: Intermetallics, 2006, vol. 14, pp. 729-34.
L. Liu, C.L. Qiu, C.Y. Huang, Y. Yua, H. Huang, and S.M. Zhang: Intermetallics, 2009, vol. 17, pp. 235–40.
J. Schroers, G. Kumar, T.M. Hodges, S. Chan, and T.R. Kyriakides: JOM, 2009, vol. 61, pp. 21-29.
J. Pan, K.C. Chan, Q. Chen, N. Li, S.F. Guo, and L. Liu: J. Alloys Compd., 2010, vol. 504S, pp. S74–S77.
J. Pan, L. Liu, and K.C. Chan: Scripta. Mater., 2009, vol. 60, pp. 822–25.
D.V. Louzguine-Luzgin, G. Xie, Q. Zhang, and A. Inoue: Philos. Mag., 2010, vol. 90, pp. 1955–68.
T. Nagase, A. Yokoyama, and Y. Umakoshi: J. Alloys Compd., 2010, vol. 494, pp. 295-300.
A. Inoue: Acta Mater., 2000, vol. 48, pp. 279–306.
D.H. Kim, W.T. Kim, E.S. Park, N. Mattern, and J. Eckert, Prog. Mater. Sci., 2013, vol. 58, pp. 1103–72.
H.J. Chang, W. Yook, E.S. Park, J.S. Kyeong, and D.H. Kim: Acta Mater., 2010, vol. 58, pp 2483–91.
Y. Yu, Y. Takaku, M. Nagasako, C.P. Wang, X.J. Liu, R. Kainuma, and K. Ishida: Intermetallics, 2012, vol. 25, pp. 95–100.
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.
M.A. Turchanin, P.G. Agraval, and A.R. Abdulov: Rasplavy, 2006, no. 6, pp. 25–29 (in Russian).
K. H. J. Buschow: J. Appl. Phys., 1981, vol. 52, pp. 3319–23.
I. Ansara, A. Pasturel, and K.H.J. Buschow: Phys. Status Solidi A, 1982, vol. 69, no. 2, pp. 447–53.
E. Kneller, Y. Khan, and U. Gorres: Z. Metallkd. 1986, vol. 77, pp. 152–63.
X.D. Liu, X.B. Liu, and Z. Altounian: J. Non-Cryst. Solids, 2005, vol. 351, no. 6, pp. 604–11.
Wang D, Li Y, Sun BB, Sui ML, Lu K, Ma E (2004) Appl. Phys. Lett. 24(20):4029–31.
D. Xu, B. Lohwongwatana, G. Duan, L.W. Johnson, and C. Garland: Acta Mater., 2004, vol. 52, pp. 2621–24.
M.A. Turchanin, P.G. Agraval, and I.V. Nikolaenko: J. Phase Equilib., 2003, vol. 24, no. 3, pp. 307–19.
Y. Nakagawa: Acta Metall., 1958, vol. 6, pp. 704–11.
S.P. Elder, A. Munitz, and G.J. Abbaschian: Mater. Sci. Forum, 1989, vol. 50, pp. 137–50.
J. He, J.Z. Zhao, and L. Ratke: Acta Mater., 2006, vol. 54, pp. 1749–57.
N. Liu: J. Non-Cryst. Solids, 2012, vol. 358, pp. 196–99.
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).
Y. Iguchi, Y. Tozaki, M. Kakizaki, T. Fuwa, and S. Ban-ya: Tetsu to Hagane, 1981, vol. 67, no. 7, pp. 925–32.
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.
Oelsen W, Schurmann E, Florin C (1961) Arch. Eisenhütten. 32(10):719–28 (in German)
A. Podgornik, quoted by W. Oelsen, E. Schurmann, and C. Florin: Arch. Eisenhüttenwes., 1961, vol. 32, no. 10, pp. 719–28 (in German).
F. Wooley and J.F. Elliot: Trans. TMS-AIME, 1967, vol. 239, no. 12, pp. 1872–83.
G.I. Batalin and V.S. Sudavtsova: Izv. Akad. Nauk SSSR. Met., 1980, no. 2, pp. 45–49 (in Russian).
I.V. Nikolaenko and M.A. Turchanin: Metall. Mater. Trans. B, 1997, vol. 28B, no. 6, pp. 1119–30.
Frohberg MG, Betz G (1980) Arch. Eisenhütten. 51(6):235–40
O.J. Kleppa and S. Watanabe: Metall. Trans. B, 1982, vol. 13B, no. 3, pp. 391–401.
K. Yamaguchi, Y.-C. Song, T. Yoshida, and K. Itagaki: J. Alloys Compd., 2008, vol. 452, pp. 73–79.
F. Sommer and D. K. Choi: Z. Metallkd., 1989, vol. 80, no. 4, 263–69.
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).
V. Witusievicz, I. Arpshofen, and F. Sommer: Z. Metallkd., 1997, vol. 88, no. 11, pp. 866–72.
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.
V.S. Sudavtsova, V.P Kurach, and G.I. Batalin: Metally, 1987, no. 3, pp. 60–61 (in Russian).
H. Wang and R. Lück: J. Non Cryst. Solids, 1996, vol. 205–207, pp. 417–20.
O.Yu. Sidorov, M.G. Valishev, Yu.O. Esin, and P.V. Gel’d: Metally, 1988, no. 6, pp. 23–25 (in Russian).
M. Rösner-Kuhn, J. Qin, K. Schaefers, U. Thiedemann, and M.G. Froehberg: Z. Metallkd., 1995, vol. 86, no. 10, pp. 682–85.
M.A. Turchanin and I.V. Nikolaenko: J. Alloys Compd., 1996, vol. 235, pp. 128–32.
A.T. Dinsdale: CALPHAD, 1991, vol. 15, no. 4, pp. 317–25.
Y.M. Muggianu, M. Gambino, and J.P. Bros: J. Chim. Phys., 1975, vol. 72, no. 1, pp. 83–88.
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.
G.W.Toop: Trans. Metall. Soc. AIME, 1965, vol. 233, pp. 850–55.
F. Kohler: Monatsh. Chem., 1960, vol. 91, pp. 738–40.
A.R. Miedema: Z. Metallkd., 1979, vol. 70, pp. 345–53.
L.J. Gallego, J.A. Somoza, and J.A. Alonso: J. Phys.: Condens. Matter., 1990, vol. 2, pp. 6245–50.
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.
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This work was supported by the Ministry of Education and Science of Ukraine under the Grant 0112U001245.
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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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DOI: https://doi.org/10.1007/s11663-015-0383-1