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Surface tension, density, and molar volume of liquid Sb-Sn alloys: Experiment versus modeling

  • Basic And Applied Research
  • Published:
Journal of Phase Equilibria

Abstract

Through the application of the maximum bubble pressure and dilatometric method, density and surface tension were investigated. The experiments were conducted in the temperature range from 583 K≤T≤1257 K. The surface tension was measured for pure antimony and for six liquid Sb-Sn alloys (mole fractions X Sn=0.2, 0.4, 0.6, 0.8, 0.9, and 0.935 mm2) and measurements of the density were only for alloys. It has been observed that both surface tension and density show linear dependence on temperature. The temperature-concentration relation of both surface tension and density were determined with minimization procedures. The surface tension isotherms calculated at 873 K and 1273 K show slight negative deviations from linearity changes, but the observed maximal differences did not exceed 30 mN · m−1. The surface tension calculated from Butler’s model was higher than the experimental value for most concentrations and also showed curvilinear temperature dependence. The experimental densities and the molar volumes of the Sb-Sn liquid alloys conform very closely to ideal behavior with differences comparable to the experimental errors.

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References

  1. S. Sugden: “The Determination of the Surface Tension from the Maximum Pressure in Bubbles,” Part II, J. Chem. Soc., 1924, 124, pp. 858–68.

    Google Scholar 

  2. J.A.V. Butler: “The Thermodynamics of the Surfaces of Solutions,” Proc. R. Soc., 1932, A135, pp. 348–75.

    Article  ADS  Google Scholar 

  3. I. Lauerman and F. Sauerwald: “Measurements of the Surface Tension of Liquid Metals,” Z. Metallkde, 1964, 55, pp. 605–12.

    Google Scholar 

  4. V.B. Lazarev: “Experimental Studies of the Surface Tension of The Indium-Antimony Alloys,” Russ. J. Phys. Chem., 1964, 38, pp. 325–30.

    Google Scholar 

  5. W. Volk: Applied Statistics for Engineers, 2nd ed., McGraw-Hill Book Co., 1969.

  6. M. Kucharski: “Density and Surface Tension of Sn-Cd Alloys,” Arch. Hutn., 1977, 22, pp. 181–94.

    Google Scholar 

  7. V. Somol and M. Beranek: Sb. Vysk. Sk. Chem.-Technol. Praze Anorg. Chem. Technol., 1984, B30, pp. 199–205.

    Google Scholar 

  8. B. Jönsson and J. Ågren: “Thermodynamic Assessment of Sb-Sn System,” Mater. Sci. Technol., 1986, 2, pp. 913–16.

    Article  Google Scholar 

  9. T. Iida and R.I.L. Guthrie: The Physical Properties of Liquid Metals, Clarendon Press, Oxford, UK, 1988.

    Google Scholar 

  10. T. Tanaka and T. Iida: “Applications of a Thermodynamic Database to the Calculation of Surface Tension for Iron-Base Liquid Alloys,” Steel Res., 1994, 65, pp. 21–28.

    Article  Google Scholar 

  11. H. Ohtani, K. Okuda, and K. Ishida: “Thermodynamic Study of Phase Equilibria in the Pb-Sn-Sb System,” J. Phase Equilib., 1995, 16, pp. 416–29.

    Article  Google Scholar 

  12. Ch.-S. Oh, J.-H. Shim, B.-J. Lee, and D.N. Lee: “A Thermodynamic Study on the Ag-Sb-Sn System,” J. Alloys Compd., 1996, 238, pp. 154–66.

    Article  Google Scholar 

  13. T. Tanaka, K. Hack, T. Iida, and S. Hara: “Application of Thermodynamic Databases to the Evaluation of Surface Tensions of Molten Alloys, Salt Mixtures and Oxide Mixtures,” Z. Metallkde, 1996, 87, pp. 380–89.

    Google Scholar 

  14. B.J. Lee and H.M. Lee: “Alloy Design of Sn-Ag-In-Bi-Sb Solder System Using Thermodynamic Calculations, in Design and Reliability of Solders and Solders Connections” in R.K. Mahidhara, D.R. Frear, S.M.I. Sastry, K.L. Murty, P.K. Liaw, and W. Winterbotoom, ed. The Minerals, Metals and Materials Society, 1997, pp. 129–36.

  15. J.W. Jang, P.G. Kim, and K.N. Tu: “High-Temperature Lead-free SnSb Solders. Wetting Reactions on Cu Foils and Phased-in Cu-Cr Thin Films,” J. Mater. Res., 1999, 14, pp. 3895–900.

    Article  ADS  Google Scholar 

  16. T. Tanaka, K. Hack, and S. Hara: “Use of Thermodynamic Data to Determine Surface Tension and Viscosity of Metallic Alloys,” MRS Bull., 1999, 24, pp. 45–50.

    Article  Google Scholar 

  17. Z. Moser, W. Gąsior, J. Pstruś, W. Zakulski, I. Ohnuma, X.J. Liu, Y. Inohana, and K. Ishida: “Studies of the Ag-In Phase Diagram and Surface Tension Measurements,” J. Electron. Mater., 2001, 30, pp. 1120–28.

    Article  ADS  Google Scholar 

  18. Z. Moser, W. Gąsior, and J. Pstruś: “Surface Tension Measurements of the Bi-Sn and Sn-Bi-Ag Liquid Alloys,” J. Electron. Mater., 2001, 30, pp. 1104–11.

    Article  ADS  Google Scholar 

  19. Z. Moser, W. Gąsior, and J. Pstruś: “Surface Tension of Liquid Ag-Sn Alloy: Experiment Versus Modeling,” J. Phase Equilib., 2001, 22, pp. 254–58.

    Article  Google Scholar 

  20. W. Gąsior, Z. Moser, and J. Pstruś: “Density and Surface Tension of the Pb-Sn Liquid Alloys,” J. Phase Equilib., 2001, 22, pp. 20–25.

    Article  Google Scholar 

  21. J.H. Kim, S.W. Jeong, and H.M. Lee: “Thermodynamics-Aided Alloy Design and Evaluation of Pb-free Solders for High-Temperature Applications,” Mater. Trans., 2002, 43, pp. 1873–78.

    Article  Google Scholar 

  22. Z. Moser, W. Gasior, and J. Pstruś: “Lead-Free Soldering Materials,” Inz ynieria Materiałowa, 2002, 2, pp. 65–68.

    Google Scholar 

  23. Z. Moser, W. Gasior, and J. Pstruś: “Surface Tension Measurements of the Eutectic (Ag-Sn96.2at.%) With Cu Additions,” J. Electron. Mater., 2002, 31, pp. 1225–29.

    Article  ADS  Google Scholar 

  24. W. Gąsior, Z. Moser, J. Pstruś, B. Krzyżak, and K. Fitzner: “Surface Tension and Thermodynamic Properties of the Liquid Ag-Bi Solutions,” J. Phase Equilib., 2003, 24, pp. 21–39.

    Article  Google Scholar 

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  1. A. Krupkowski Institute of Metallurgy and Materials Science, Polish Academy of Sciences, Reymonta Street 25, 30-059, Kraków, Poland

    W. Gasior, Z. Moser & J. Pstruś

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  1. W. Gasior
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  2. Z. Moser
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  3. J. Pstruś
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Gasior, W., Moser, Z. & Pstruś, J. Surface tension, density, and molar volume of liquid Sb-Sn alloys: Experiment versus modeling. JPE 24, 504–510 (2003). https://doi.org/10.1361/105497103772084543

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