Skip to main content
SpringerLink
Log in

Metastable phase equilibria in the lead-tin alloy system: Part II. Thermodynamic modeling

  • Alloy Phases
  • Published:
Metallurgical Transactions A Aims and scope Submit manuscript

Abstract

The lattice stability of Sn is reassessed in view of additional pressure-temperature data since the earlier assessment by Kaufman. The metastable phase boundary of the α-Pb phase reported in Part I in connection with available thermochemical data is used to define more accurately the model paraaeters for the stable L, α, β, and metastable α1-phases. Using these models, the stable phase diagram of Pb−Sn, the metastable extension of the stable phase diagram, and several possible metastable phase diagrams are calculated. Thermodynamic and kinetic criteria are used to discuss the formation of various phases during rapid solidification processes.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. J. Fecht and J. H. Perepezko:Metall. Trans. A, 1989, vol. 20A, pp. 785–94.

    CAS  Google Scholar 

  2. C. Wagner:Thermodynamics of Alloys, Addison-Wesley, Reading, MA, 1952.

    Google Scholar 

  3. L. Kaufman and H. Bernstein:Computer Calculation of Phase Diagrams, Academic Press, New York, NY, 1970.

    Google Scholar 

  4. Y. A. Chang and J. P. Neumann:Prog. in Solid State Chem., G. M. Roseablatt and W. L. Worrell, eds., 1982, vol. 14, p. 221.

    Article  CAS  Google Scholar 

  5. T.-L. Ngai and Y. A. Chang:CALPHAD, 1981, vol. 5, p. 267;CALPHAD, 1982, vol. 6, p. 253.

    Article  CAS  Google Scholar 

  6. Y.-Y. Chuang, R. Schmid, and Y. A. Chang:Metall. Trans. A, 1984, vol. 15A, p. 1921.

    CAS  Google Scholar 

  7. R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, K. K. Kelley, and D. D. Wagman:Selected Values of the Thermodynamic Properties of the Elements, ASM, Metals Park, OH, 1973.

    Google Scholar 

  8. L. Kaufman:Solids under Pressure, M. Paul and M. Warchauer, eds., McGraw-Hill, New York, NY, 1963, p. 304.

    Google Scholar 

  9. J. D. Barnett, V. E. Bean, and H. T. Hall:J. Appl. Phys., 1966, vol. 37, p. 875.

    Article  CAS  Google Scholar 

  10. W. B. Pearson:Handbook of Lattice Spacings and Structures of Metals and Alloys, Pergamon Press, New York, NY, 1967.

    Google Scholar 

  11. C. S. Barrett and T. B. Massalski:Structure of Metals, 3rd ed., Pergamon Press, New York, NY, 1980.

    Google Scholar 

  12. H. J. Fisher and A. Phillips:Trans. AIME, 1954, vol. 200, p. 1060.

    Google Scholar 

  13. W. L. Wendland: M. S. Thesis, University of Wisconsin-Madison, Madison, WI, 1982.

  14. A. Yazawa, T. Kawashima, and K. Itagaki:J. Japan Inst. Metals, 1968, vol. 32, p. 1981.

    Google Scholar 

  15. R. Hultgren, P. D. Desai, D. T. Hawkins, M. Gleiser, and K. K. Kelley:Selected Values of the Thermodynamic Properties of Binary Alloys, ASM, Metals Park, OH, 1973.

    Google Scholar 

  16. O. J. Kleppa:J. Phys. Chem., 1955, vol. 59, p. 381.

    Article  Google Scholar 

  17. D. T. Hawkins and R. Hultgren:Trans. TMS-AIME, 1967, vol. 239, p. 1046.

    CAS  Google Scholar 

  18. B. Predel:Z. Metallk., 1960, vol. 51, p. 381.

    CAS  Google Scholar 

  19. G. F. Voronin and A. M. Evseev:Russ. J. Inorg. Chem., 1959, vol. 33, p. 373.

    Google Scholar 

  20. K. Atarashiya, M. Uta, M. Shimoji, and K. Niwa:Bull. Chem. Soc. Japan, 1960, vol. 33, p. 706.

    Article  CAS  Google Scholar 

  21. R. A. Schaefer and F. Hovorka:Electrochem. Soc. Reprint No. 87, 1945, vol. 23, p. 267.

    Google Scholar 

  22. J. F. Elliott and J. Chipman:J. Am. Chem. Soc., 1951, vol. 73, p. 2684.

    Google Scholar 

  23. S. K. Das and A. Ghosh:Metall. Trans., 1972, vol. 3, p. 803.

    Article  CAS  Google Scholar 

  24. G. W. Padgaokar, P. S. Kinnerkar, and D. L. Roy:Trans. Indian Inst. Metals, 1968, vol. 21, p. 36.

    CAS  Google Scholar 

  25. F. Sommer, Y. H. Suh, and B. Predel:Z. Metallk., 1978, vol. 69, p. 470.

    CAS  Google Scholar 

  26. K. Okajim and H. Sakao:Trans. Japan Inst. Metals, 1968, vol. 9, p. 325.

    Google Scholar 

  27. D. F. Tkhai:Trudy Leningrad. Politekhn. Inst., 1967, vol. 272, p. 61.

    Google Scholar 

  28. N. I. Shurov, N. G. Ilyushchenko, A. I. Anfinogenov, and T. L. Mitrofanova:Deposited Doc., VINITI 1039-74, 1974, p. 10.

    Google Scholar 

  29. W. K. Murphy and R. A. Oriani:Acta Metal., 1958, vol. 6A, p. 556.

    Article  Google Scholar 

  30. W. B. Kendal and R. Hultgren:J. Phys. Chem., 1959, vol. 63, p. 1158.

    Article  Google Scholar 

  31. E. Schurmann and F. Gilhaus:Arch. Eisenhüttenw., 1961, vol. 32, p. 867.

    Google Scholar 

  32. F. Gilhaus:Z. Naturforsch., 1959, vol. 14A, p. 1001.

    CAS  Google Scholar 

  33. T. Heumann and H. Wostmann:Z. Metallk., 1972, vol. 63, p. 332.

    CAS  Google Scholar 

  34. B. C. Giessen:Advances in X-Ray Analysis, C. S. Barrett, G. R. Mallett, and J. B. Newkirk, eds., Plenum Press, New York, NY, 1969, vol. 12, p. 23.

    Google Scholar 

  35. I. E. Anderson, J. H. Perepezko, and B. C. Giessen: unpublished research, University of Wisconsin-Madison, Madison, WI, 1982.

  36. K. Mori, K. N. Ishihara, and P. H. Shingu:Mat. Sci. and Eng., 1986, vol. 78, p. 157.

    Article  CAS  Google Scholar 

  37. Non-linear Regression Routines, Mathematical Routines Series, Academic Computer Center, The University of Wisconsin-Madison, Madison, WI, 1972.

  38. J. V. Jefimov, E. M. Savitsky, F. Sommer, G. Bucher, and E. A. Mjasinkova:Z. Metallkde, 1984, vol. 75, p. 709.

    Google Scholar 

  39. R. H. Kane, B. C. Giessen, and N. J. Grant:Acta Metall., 1966, vol. 14, p. 605.

    Article  CAS  Google Scholar 

  40. E. Y. Tonkov and I. L. Aptekar: Institute of Solid Physics, Academy of Sciences of the USSR, 1969, vol. 188, p. 620.

  41. M. Hansen and K. Anderko:Constitution of Binary Alloys, McGraw-Hill, New York, NY, 1969, p. 1107.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Keck Laboratory, California Institute of Technology, 91125, Pasadena, CA

    H. J. Fecht

  2. Department of Metallurgical and Mineral Engineering, University of Wisconsin-Madison, 53706, Madison, WI

    M. X. Zhang (Research Assistant), Y. A. Chang (Wisconsin Distinguished professor and Chairman) & J. H. Perepezko (Professor)

Authors
  1. H. J. Fecht
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. X. Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Y. A. Chang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. J. H. Perepezko
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fecht, H.J., Zhang, M.X., Chang, Y.A. et al. Metastable phase equilibria in the lead-tin alloy system: Part II. Thermodynamic modeling. Metall Trans A 20, 795–803 (1989). https://doi.org/10.1007/BF02651646

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02651646

Keywords

Search

Navigation