Skip to main content
Log in

Detailed assessment of partial thermodynamic quantities of tin in molten Bi-Sn alloys from electromotive force measurements

  • Published:
Metallurgical Transactions B Aims and scope Submit manuscript

Abstract

All the partial thermodynamic quantities, including the activity and activity coefficient of tin,a Sn and γSn, in the liquid Bi-Sn alloys between 300 °C and 500 °C are assessed in detail from electromotive force (emf) data. The emf values were obtained from a modified molten salt electrolyte concentration cell that had extraordinary stability within +0.005 mV. The composition dependence of γSn did not follow Darken’s quadratic formalism, nor did the alloy behave as a regular solution. The excess partial quantities, Δ¯H Sn ,Δ¯S xsSn , and Δ¯G xsSn , are oscillating across the composition, and the activity curve exhibits double, positive and negative, deviations from Raoult’s law. The aSn, γSn, and Δ¯G xsSn change from positive to negative departure from ideality in the tin-rich region beyond about xSn = 0.82. All those partial quantities and γ oSn , including the β° (the α function of tin) at infinite dilution, are determined accurately by means of Chiotti’s method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. C.E. Lundin, A.S. Yamanoto, and J.F. Nachman:Acta Metall., 1965, vol. 13, pp. 149–54.

    Article  CAS  Google Scholar 

  2. H. Seltz and F.J. Dunkerley:J. Am. Chem. Soc., 1942, vol. 64, pp. 1392–95.

    Article  CAS  Google Scholar 

  3. Y. Tiba, T. Matsushima, and K. Ono:Tohoku Daigaku Senko Seiren Kenkyusho Iho, 1964, vol. 20, pp. 41–49.

    CAS  Google Scholar 

  4. D. Blecic and B. Dobovisek:Rud.-Metal. Zb., 1980, vol. 27, pp. 291–300.

    CAS  Google Scholar 

  5. R. Kammel, J. Osterwald, and T. Oishi:Metall (Berlin), 1983, vol. 37, pp. 141–44.

    CAS  Google Scholar 

  6. A. Yazawa and K. Koike:Nippon Kogyo Kaishi, 1968, vol. 84, pp. 1593–96.

    CAS  Google Scholar 

  7. R.L. Sharkey and M.J. Pool:Metall. Trans., 1972, vol. 3, pp. 1773–76.

    Article  CAS  Google Scholar 

  8. L.S. Darken and R.W. Gurry:Physical Chemistry of Metals, McGraw-Hill, New York, NY, 1953, p. 271.

    Google Scholar 

  9. G. Riekert, P. Lamparter, and S. Steeb:Z. Naturforsch., 1976, vol. 31a, pp. 711–16.

    CAS  Google Scholar 

  10. R.L. Sharkey, M.J. Pool, and M. Hoch:Metall. Trans., 1971, vol. 2, pp. 3039–49.

    CAS  Google Scholar 

  11. J.H. Hildebrand:J. Am. Chem. Soc., 1929, vol. 51, pp. 66–80.

    Article  CAS  Google Scholar 

  12. H.K. Hardy:Acta Metall., 1953, vol. 1, pp. 202–09.

    Article  CAS  Google Scholar 

  13. E.A. Guggenheim:Proc. R. Soc., 1935, vol. 148A, pp. 304–12.

    Google Scholar 

  14. G.S. Rushbrooke:Proc. R. Soc., 1938, vol. 166A, pp. 296–315.

    Google Scholar 

  15. L.S. Darken:Trans. TMS-AIME, 1967, vol. 239, pp. 80–89.

    CAS  Google Scholar 

  16. S.-A. Cho:Z. Metallkd., 1974, vol. 65, pp. 135–43.

    CAS  Google Scholar 

  17. S.-A. Cho:Z. Metallkd., 1976, vol. 67, pp. 479–87.

    CAS  Google Scholar 

  18. S.-A. Cho and C.E. León-Sucre:J. Am. Ceram. Soc., 1982, vol. 65, pp. 307–11.

    Article  CAS  Google Scholar 

  19. B. Bergman and J. Ågren:J. Am. Ceram. Soc., 1985, vol. 68, pp. 444–50.

    Article  CAS  Google Scholar 

  20. L.M. Foster and J.F. Woods:J. Electrochem. Soc., 1971, vol. 118, pp. 1175–83; ibid., 1972, vol. 119, pp. 504–06.

    Article  CAS  Google Scholar 

  21. A. Magnus and M. Mannheimer:Z. Metallkd., 1936, vol. 28, pp. 197–202.

    Google Scholar 

  22. M. Kawakami:Z. Anorg. Chem., 1927, vol. 167, pp. 345–63.

    Article  CAS  Google Scholar 

  23. B. Dewitt and H. Seltz:J. Am. Chem. Soc., 1939, vol. 61, pp. 3170–73.

    Article  CAS  Google Scholar 

  24. G.H. Laurie, A.W.H. Morris, and J.N. Pratt:Trans. TMS-AIME, 1966, vol. 236, pp. 1390–95.

    CAS  Google Scholar 

  25. R.J. Hawkins: Chem. Met. Iron and Steel, 1973, pp. 310–13.

  26. P. Chiotti:Metall. Trans., 1972, vol. 3, pp. 2911–16.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

ROBERTO CAMISOTTI, formerly Undergraduate Student, Central University of Venezuela.

Formerly Assistant Professor, Central University of Venezuela.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cho, SA., Camisotti, R. & Vélez, M.H. Detailed assessment of partial thermodynamic quantities of tin in molten Bi-Sn alloys from electromotive force measurements. Metall Trans B 21, 87–96 (1990). https://doi.org/10.1007/BF02658119

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02658119

Keywords

Navigation