Abstract
A set of self-consistent thermodynamic model parameters is presented to describe the phase equilibria of nickel-lead (Ni-Pb) and nickel-tin (Ni-Sn) systems. Sublattice descriptions are used for thermodynamic modeling of the η-Ni3Sn, λ-Ni3Sn, η-Ni3Sn2, λ-Ni3Sn2, and Ni3Sn4 phases. A three-sublattice and a four-sublattice model are used to describe the molar Gibbs energies of η-Ni3Sn2 and λ-Ni3Sn2, respectively, and also to describe the second-order phase transition from η-Ni3Sn2 to λ-Ni3Sn2. In the majority of the cases, the agreement between the experimental data and the calculated values is very good. Since the experimental Ni-Pb-Sn ternary-phase diagrams are not known, several isothermal sections are calculated based on thermodynamic principles. They are of practical importance as related to microelectronics soldering applications.
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D.C. Abbott, R.M. Brook, N. McLelland, and J.S. Wiley: IEEE Trans. Compon. Hybrids Manuf. Technol., 1991, vol. 14, pp. 567–72.
S.K. Kang, R.S. Rai, and S. Purusothaman: J. Electronic Mater., 1996, vol. 25, pp. 1113–20.
I. Karakaya and W.T. Thompson: Bull. Alloy Phase Diagrams, 1988, vol. 9, pp. 144–52.
T.L. Ngai and Y.A. Chang: CALPHAD, 1983, vol. 5, pp. 267–76.
P. Nash: Bull. Alloy Phase Diagrams, 1987, vol. 8, pp. 264–68.
P. Nash and A. Nash: Bull. Alloy Phase Diagrams, 1985, vol. 6, pp. 350–59.
C. R. Cavanaugh and J.F. Elliot: Trans. TMS-AIME, 1964, vol. 230, pp. 633–38.
T. Alden, D.A. Stevenson, and J. Wulff: Trans. TMS-AIME, 1958, vol. 212, pp. 15–17.
M.A. Portevin: Rev. Metall., 1907, vol. 4, pp. 814–18.
G. Voss: Z. Anorg. Chem., 1908, vol. 57, pp. 45–48.
E. Pelzel: Metallurgy, 1955, vol. 9, pp. 692–94.
B. Fleischer and J.F. Elliot: in The Physical Chemistry of Metallic Solutions and Intermetallic Compounds, [Proc. Symp. No. 9,] National Physical Laboratory, Teddington, United Kingdom, 1959, vol. 1, p. 12.
K.O. Miller and J.F. Elliot: Trans. TMS-AIME, 1960, vol. 218, pp. 900–10.
T.R.A. Davey: Physical Chemistry of Process Metallurgy, TMS-AIME Conf., TMS-AIM, Warrendale, PA, 1961, vol. 7, pp. 581–600.
A. Taskinen: Scand. J. Metall., 1981, vol. 10, pp. 185–88.
G. Tammann and G. Bandel: Z. Metallkd., 1933, vol. 25, p. 156.
T. Pomianek: Z. Metallkd., 1986, vol. 77, pp. 388–92.
G. Tammann and W. Oelsen: Z. Anorg. Chem., 1930, vol. 186, pp. 266–67.
R. Nozato, T. Morigaki, and H. Tsubakino: Trans. Jpn. Inst. Met., 1983, vol. 24, pp. 18–23.
M. Hansen and K. Anderko: Constitution of Binary Alloys, McGraw-Hill Book Company, Inc., New York, NY, 1958.
W. Hoffmann: Lead and Lead Alloys, Springer-Verlag, Berlin, 1970, p. 69.
R. Ricci-Bitti, J. Dixmier, and A. Guinier: Compt. Rend. B, 1968, vol. 266, pp. 565–67.
B.C. Giessen: in Rapidly Quenched Metals, N.J. Grant and B.C. Giessen, eds., MIT, Cambridge, MA, 1976, pp. 119–34.
J.F. Freedman and A.S. Nowick: Acta Metall., 1958, vol. 6, pp. 176–83.
B. Predel and H. Sandig: Z. Metallkd., 1969, vol. 60, pp. 208–14.
C.T. Heycock and F.H. Neville: J. Chem. Soc., 1890, vol. 57, p. 378.
H. Gautier: Bull. Soc. Encour. Ind. Nat., 1896, vol. 1, p. 1313.
M.L. Guillet: Rev. Met., 1907, vol. 4, pp. 535–51.
M.L. Guillet: Compt. Rend. Acad. Sci., 1907, vol. 144, pp. 752–53.
G. Voss: Z. Anorg. Chem., 1908, vol. 57, pp. 35–45.
D. Hanson, E.S. Sandford, and H. Stevens: J. Inst. Met., 1934, vol. 55, pp. 117–19.
E.R. Jette and E. Fetz: Metallwirt. Wiss. Technol., 1935 vol. 14, pp. 165–68.
W. Mikulus, L. Thomassen, and C. Upthegrove: Trans. AIME, Inst. Met. Div., 1937, vol. 124, pp. 111–37.
T. Heumann: Z. Metallkd., 1943, vol. 35, pp. 206–11.
M.G. Charpy: Bull. Soc. Encour. Ind. Nat., 1897, vol. 2, pp. 384–419.
E. Vigouroux: Comp. Rend. Acad. Sci., 1907, vol. 144, pp. 639–41.
E. Vigouroux: Comp. Rend. Acad. Sci., 1907, vol. 144, pp. 712–14.
E. Vigouroux: Comp. Rend. Acad. Sci., 1907, vol. 144, pp. 1351–53.
E. Vigouroux: Comp. Rend. Acad. Sci., 1907, vol. 145, pp. 246–48.
E. Vigouroux: Comp. Rend. Acad. Sci., 1907, vol. 145, pp. 429–31.
I. Oftedal: Z. Phys. Chem., 1928, vol. 132, pp. 208–16.
E. Fetz and E.R. Jette: J. Chem. Phys., 1936, vol. 4, p. 537.
E. Fetz and E.R. Jette: Trans. AIME, 1937, vol. 124, pp. 133–36.
H. Nowotny and K. Schubert: Naturwissenschaften, 1944, vol. 32, p. 76.
H. Nowotny and K. Schubert: Z. Metallkd., 1946, vol. 37, pp. 23–31.
F. Lihl and H. Kirnbauer: Monatsh. Chem., 1955, vol. 86, pp. 745–51.
F. Lihl and H. Kirnbauer: Z. Metallkd., 1955, vol. 46, pp. 438–39.
L.A. Panteleimonov, A.Y. Khanna, I.G. Sokolova, and A.K. Bagdasaryan: Vestn. Mosk. Univ. Ser. II: Khim., 1964, vol. 19, pp. 45–50.
O. Nial: Svesk Kemisk Tidskrift, 1947, vols. 59–60, pp. 172–83.
M.K. Bhargava and K. Schubert: J. Less-Common Met., 1973, vol. 33, pp. 181–89.
W. Michel: Ann. Phys., 1963, vol. 11, pp. 321–53.
P. Rahlfs: Metallwirtschaft, 1937, vol. 16, pp. 343–45.
C. Djega-Mariadassou: Ann. Chim. (Paris), 1970, vol. 5, pp. 497–504.
V.N. Eremenko, G.M. Lukashenko, and V.L. Pritula: Russ. J. Phys. Chem., 1971, vol. 45, pp. 1131–32.
V.N. Eremenko, G.M. Lukashenko, and V.L. Pritula: Proc. 4th Int. Conf. Vacuum Metallurgy, Iron and Steel Institute of Japan, Tokyo, 1973, pp. 44–46.
F. Koerber and W. Oelson: Mitt. Kaiser Wilh. Inst. Eisenforsch., 1937, vol. 19, pp. 209–19.
Y.O. Esin, V.M. Baev, and S.N. Morozov: Fiz. Svoistva Met. Splavov, 1976, vol. 1, pp. 66–72.
M.J. Pool, I. Arpshofen, B. Predel, and E. Schultheiβ: Z. Metallkd., 1979, vol. 70, pp. 656–59.
R. Luck, J. Tomiska, and B. Predel: Z. Metallkd., 1988, vol. 79, pp. 345–49.
J.S.L. Leach and M.B. Bever: Trans. AIME, 1959, vol. 43, p. 248.
R.A. Oriani and W.K. Murphy: Acta Metall., 1960, vol. 8, pp. 23–25.
G.F. Day and R. Hultgern: J. Phys. Chem., 1962, vol. 66, pp. 1532–34.
R. Oriani and W.K. Murphy: Acta Metall., 1962, vol. 10, pp. 879–85.
R.C. King and O.J. Kleppa: Acta Metall., 1964, vol. 12, pp. 87–97.
J. Hertz: C.R. Acad. Sci., Paris, Ser. C, 1966, vol. 232, pp. 1652–54.
R.A. Walker and J.B. Darby: Acta Metall., 1970, vol. 18, pp. 1261–66.
A.K. Jena and T.R. Ramachandran: Scripta Metall., 1971, vol. 5, pp. 639–42.
B. Predel and H. Ruge: Mater. Sci. Eng., 1972, vol. 9, pp. 141–51.
R. Boom: Scripta Metall., 1974, vol. 8, pp. 1277–82.
H.-D. Dannohl and H.L. Lukas: Z. Metallkd., 1974, vol. 65, pp. 642–49.
S. Martosudirjo and J.N. Pratt: Thermochimica Acta, 1976, vol. 17, pp. 183–94.
W. Vogelbein: Ph.D. Thesis, University of Stuttgart, Stuttgart, Germany, 1976.
J.C. Gachon, M. Notin, C. Cunat, J. Hertz, J.C. Parlebas, G. Moraitis, B. Stupfel, and F. Gautier: Acta Metall., 1980, vol. 28, pp. 489–97.
W. Vogelbein, B. Predel, and Y.A. Chang: Z. Metallkd., 1982, vol. 73, pp. 530–33.
J. Schott and F. Sommer: J. Less-Common Met., 1986, vol. 119, pp. 307–17.
B. Predel and H. Ruge: Thermochimica Acta, 1972, vol. 3, pp. 411–19.
B. Predel and W. Vogelbein: Thermochimica Acta, 1979, vol. 30, pp. 201–05.
A. Dinsdale: NPL Report DMA (A) 195, National Physical Laboratory, Teddington, United Kingdom, 1989.
O. Redlich and A. Kister: Ind. Eng. Chem., 1948, vol. 40, pp. 345–48.
M. Hillert and M. Jarl: CALPHAD, 1978, vol. 2, pp. 227–38.
D.H. Martin: Magnetism in Solids, MIT Press, Cambridge, MA, 1967, p. 10.
C. Manders: Ann. Phys., 1936, vol. 5, pp. 167–231
V. Marian: Ann. Phys., 1937, vol. 7, pp. 459–527.
K. Schubert, W. Burkhardt, P. Esslinger, E. Gunzel, H.G. Meissner, W. Schutt, J. Wegst, and M. Wilkens: Naturwissenschaften, 1956, vol. 43, pp. 248–49.
S.K. Shadangi, M. Singh, S.C. Panda, and S. Bhan: Ind. J. Technol., 1986, vol. 24, pp. 105–07.
O.T. Woo, J. Rezek, and M. Schlesinger: Mater. Sci. Eng., 1975, vol. 18, pp. 163–65.
W.B. Pearson and L.T. Thomson: Can. J. Phys. 1957, vol. 35, pp. 349–57.
J. Bandyopadhyay and K.P. Gupta: Metall. Trans., 1970, vol. 1, pp. 327–29.
A. Schneider and K.H. Imhagen: Naturwissenschaften, 1957, vol. 44, p. 324.
P. Brand: Wiss. Z. Martin Luther Univ. Halle Mitt., 1967, vol. 16, pp. 551–59.
P. Brand: Z. Anorg. Chem., 1968, vol. 358, pp. 170–77.
H. Fjellvag and A. Kjekshus: Acta Chem. Scand. A, 1986, vol. 40A, pp. 23–30.
M. Ellner: J. Less-Common Met., 1976, vol. 48, pp. 21–52.
G. Ghosh: Metall. Mater. Trans. A, 1997, vol. 30A, pp. 4–18.
G. Ghosh: Met. Mater. Trans. A, 1999, vol. 30A, pp. 5–18.
M. Asanuma: J. Phys. Soc. Jpn., 1962, vol. 17, pp. 300–06.
K.C. Jain, M. Ellner, and K. Schubert: Z. Metallkd., 1972, vol. 63, pp. 258–60.
J. Lacaze and B. Sundman: Metall. Trans. A, 1991, vol. 22A, pp. 2211–23.
M.E. Seiersten: in Thermochemical Database for Light Metal Alloys, Ed. I. Ansara (European Cooperation in the Field of Scientific and Technical Research, European Commission, Brussels, 1994), pp. 24–28.
M. Kowalski and P.J. Spencer: J. Phase Equilibria, 1993, vol. 14, pp. 432–38.
H. Nowotny and K. Schubert: Naturwissenschaften, 1944, vol. 32, p. 76.
H. Nowotny and K. Schubert: Z. Metallkd., 1946, vol. 37, pp. 23–31.
W. Jeitschko and B. Jaberg: Acta Crystallogr., 1982, vol. B38, pp. 598–600.
S. Furuseth and H. Fjellvag: Acta Chem. Scand. A, 1986, vol. 40A, pp. 695–700.
B. Jansson: Trita-Mac-0234, Royal Institute of Technology, Stockholm, 1984.
B. Sundman, B. Jansson, and J.O. Andersson: CALPHAD, 1985, vol. 9, pp. 153–90.
A. Bolcavage and U.R. Kattner: J. Phase Equilibria, 1996, vol. 17, pp. 92–100.
R.D. Agrawal, V.N.S. Mathur, and M.L. Kapoor: Trans. Jpn. Inst. Met., 1980, vol. 21, pp. 1–8.
F.R. de Boer, R. Boom, W.C.M. Mattens, A.R. Miedema, and A.K. Niessen: Cohesion in Metals, Transition Metals Alloys, North-Holland, Amsterdam, 1988.
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Ghosh, G. Thermodynamic modeling of the nickel-lead-tin system. Metall Mater Trans A 30, 1481–1494 (1999). https://doi.org/10.1007/s11661-999-0085-x
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DOI: https://doi.org/10.1007/s11661-999-0085-x