Abstract
A simple method to estimate the surface tensions of binary alloys has been developed by assuming that the partial molar excess free energies are proportional to the number of nearest neighbors in both the bulk solution and in the surface itself. In order to estimate the surface tension of the alloys, excess free energies of the alloys and the surface tensions of the pure components are required. This method has been applied to ten alloys exhibiting positive, positive as well as negative, and negative deviations from ideal solution behavior. The method depends upon the reliability of the thermodynamic data for the bulk solutions, and, further, it is important to use an interpolation scheme that is consistent with the Gibbs-Duhem requirement, when the thermodynamic data are presented in tabular form as a function of composition. To accomplish this interpolation, a special calculation technique is presented.
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R. Defay and I. Prigogine, with the collaboration of A. Bellemans, translated from the French by D.H. Everett:Surface Tension and Adsorption, 1966, John Wiley & Sons, New York, NY, p. 139.
J.C. Joud, J.C. Mathieu, P. Desre, and E. Bonnier:J. Chim. Phys., 1972, vol. 69, pp. 131–41.
J.C. Mathieu, F. Durand, and E. Bonnier:J. Chim. Phys., 1965, vol. 11-12, pp. 1289–97 and pp. 1298-303.
P. Laty, J.C. Joud, and P. Desre:Surf. Sci., 1977, vol 70 pp. 109–24.
L. Goumiri and J.C. Joud:Surf. Sci., 1984, vol. 138, pp. 524–48.
R. Speiser, D.R. Poirier, and K. Yeum:Scripta Metall., 1987, vol. 21, pp. 687–92.
J.A.V. Butler:Proc. Roy. Soc. A, 1935, vol. 135, pp. 348–75.
R.H. Fowler and E.A. Guggenheim:Statistical Thermodynamics, University Press, Cambridge, U.K., 1965, pp. 358–61.
Smithells Metals Reference Book, 6th ed., E.A. Brandes, ed., Butterworth's, London, 1983, pp. 14-6-14-8.
E.T. Turkdogan:Physical Chemistry of High Temperature Technology, Academic Press, New York, NY, 1980, p. 93.
K. Hultgren, P.D. Desai, D.T. Hawkins, M. Gleiser, and K.K. Kelly:Selected Values of Thermodynamic Properties of Binary Alloys, ASM INTERNATIONAL, Metals Park, OH, 1973, pp. 32–35, 79–83, 103-11, 151-55, 737-41, 773-76, 871-83, 1019-23, and 1265-69.
B.F. Dyson:Trans. TMS-AIME, 1963, vol. 227, pp. 1098–102.
G. Metzger:Z. Phys. Chem., 1958, vol. 211, pp. 1–25.
J.C. Joud, N. Eutathapoulus, A. Bricard, and P. Desre:J. Chim. Phys., 1973, vol. 70, pp. 1290–94.
T.P. Hoar and D.A. Melford:Trans. Faraday Soc., 1957, vol. 53, pp. 315–26.
J.P. Hager and I.A. Wilkomirsky:Trans. TMS-AIME, 1968, vol. 242, pp. 183–89.
I. Lauermann, G. Metzger, and F. Sauerwald:Z. Phys. Chem., 1961, vol. 216, pp. 42–49.
P. Laty, J.C. Joud, P. Desre, and G. Lang:Surf. Sci., 1977, vol. 69, pp. 508–20.
V.N. Eremko, V.l. Nishenko, and Y.V. Naiditsch:Izv. Akad. Nauk SSSR, 1961, vol. 3, pp. 150–54.
L. Martin-Garin, I. Ansera, and P. Desre:C.R. Acad. Sci. Paris, Ser. C, 1986, vol. 266, pp. 1595–97.
K. Schwerdtfeger and H.J. Engell:Trans. TMS-AIME, 1965, vol. 233, pp. 1327–32.
L.M. Shergin, S.I. Popel, and T. Tsarevskii:Tr. Inst. Metall. Akad. Nauk SSSR, Ural. Nauchn. Tsentr, 1971, vol. 25, p. 52.
S.I. Popel, L.M. Shergin, and B.V. Tsarevskii:Russ. J. Phys. Chem., 1970, vol. 44, pp. 144–45.
J.W. Gibbs:The Collected Works of J. Willard Gibbs, Vol. 1 Thermodynamics, Longmans, Green and Co., New York, NY, 1928, pp. 219–37.
E.A. Guggenheim and N.K. Adam:Proc. Roy. Soc. A, 1933, vol. 139, pp. 218–36.
F. Dolezalek:Z. Phys. Chem., 1908, vol. 64, pp. 727–47.
A.S. Jordan:Calculations of Phase Diagrams and Thermo- chemistry of Alloy Phases, Y.A. Chang and J.C. Smith, eds., TMS-AIME, Warrendale, PA, 1979, pp. 100–29.
S.M. Kaufman and T.J. Whalen:Acta Metall., 1965, vol. 13, pp. 797–805.
T. Faber:Introduction to the Theory of Liquid Metals, University Press, Cambridge, U.K., 1982, pp. 477–81.
N.L. Pokrovsky, P.P. Pugachevich, and K.I. Ibramigov:Dokl. Akad. Nauk. SSSR, 1967, vol. 172, pp. 829–32.
C.W. Bale and A.D. Pelton:Metall. Trans., 1974, vol. 5, pp. 2323–37.
S.A. Degtyarev and T.F. Voronin:Russ. J. Phys. Chem., 1982, vol. 56, pp. 1658–61.
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Yeum, K.S., Speiser, R. & Poirier, D.R. Estimation of the surface tensions of binary liquid alloys. Metall Trans B 20, 693–703 (1989). https://doi.org/10.1007/BF02655927
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DOI: https://doi.org/10.1007/BF02655927