Skip to main content
SpringerLink
Log in

Thermodynamic study of phase equilibria in the Pb-Sn-Sb system

  • Published:
Journal of Phase Equilibria

Abstract

A thermodynamic analysis of the phase equilibria in the Pb-Sn-Sb ternary system was conducted. A regular solution approximation based on a two-sublattice model was adopted to describe the Gibbs energy of formation of the individual phases in the binary and ternary systems. In the case of some component binary systems, the effect of pressure also was considered. Experimental data obtained by differential thermal analysis (DTA) and electron probe microanalysis (EPMA) in the present study, along with literature data on phase boundaries and thermochemical properties, form the basis for the evaluated thermodynamic parameters used in the calculation. Calculated and experimental phase boundaries agree fairly well.

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

Cited References

  1. L. Kaufman,Computer Aided Innovation of New Materials, M. Doyama et al., Ed., Elsevier, 773 (1991).

  2. M. Hillert and L.-I. Staffansson,Acta Chem, Scand., 24, 3618 (1970).

    Article  Google Scholar 

  3. E.Y. Tonkov and I.L. Aptebar,Dokl. Akad. Nauk SSR, 188, 401 (1969).

    Google Scholar 

  4. V.F. Degtyareva and E.G. Ponyatovski,Fiz. Tverd Tela, 24, 2672 (1982).

    Google Scholar 

  5. T.L. Ngai and Y.A. Chang,Calphad, 5,267 (1981).

    Article  Google Scholar 

  6. I. Karakaya and W.T. Thompson,Bull. Alloy Phase Diagrams, 9, 144(1988).

    Article  Google Scholar 

  7. H.J. Fecht, M.-X. Zhang, Y.A. Chang, and J.H. Perepezko,Metall. Trans. A, 20,795 (1989).

    Article  Google Scholar 

  8. H. J. Fecht and J.H. Perepezko,Metall. Trans. A, 20, 785 (1989).

    Article  Google Scholar 

  9. K. Mori, K.N. Ishihara, and P.H. Shingu,Mater. Sci. Eng., 78,157 (1986).

    Article  Google Scholar 

  10. K. Honda and H. Abe,Sci. Rep. Tohokulmp. Univ., 79,315(1930).

    Google Scholar 

  11. HJ.FisherandA.Phillips,Trans.AIME,200,1060(1954).

    Google Scholar 

  12. T. Heumann and H. Wöstmann,Z Metallkd, 63,332 (1972).

    Google Scholar 

  13. F.H. Jeffery,Trans. Faraday Soc, 24,209 (1928).

    Article  Google Scholar 

  14. R. Hultgren and S.A. Lever,Trans. Metall. Soc. AIME, 185, 67 (1949).

    Google Scholar 

  15. A Stockburn,J. Inst. Met., 66,33 (1940).

    Google Scholar 

  16. D. Stockdale,J. Inst. Met., 49, 267 (1932).

    Google Scholar 

  17. J.W. Cahn and H.N. Treafas,Trans. Metall. AIME, 218,376 (1960).

    Google Scholar 

  18. Y. Ozakiand S. Saito,Jpn. J.Appl. Phys., 10,149 (1971).

    Article  ADS  Google Scholar 

  19. W.K. Murphy and R.A Oriani,Acta Metall, 6,556 (1958).

    Article  Google Scholar 

  20. W.B. Kendall and R. Hultgren,J. Phys. Chenu, 63,1158 (1959).

    Article  Google Scholar 

  21. E. Schurmann and F.H. Gilhaus,Arch. Eisenhüttenwes., 32 867 (1961).

    Article  Google Scholar 

  22. R. Nozato,Bull. Univ. Osaka Prefect, A, 10,109 (1962).

    Google Scholar 

  23. Z.D. Zivkovic,Thermochim. Acta, 44,385 (1981).

    Article  Google Scholar 

  24. O.J. Kleppa,J Phys. Chem., 59,175 (1955).

    Article  Google Scholar 

  25. J.P. Bros, R. Castanet, and M. Laffitte,C.R. Acad Sci. Paris, 264, 1804(1967).

    Google Scholar 

  26. A. Yazawa, T. Kawashima, and K. Itagaki,J. Jpn. Inst. Met, 32, 1281 (1968).

    Article  Google Scholar 

  27. M. Azzaoui, M. Notin, and J. Hertz,Z Metallkd, 84,545 (1993).

    Google Scholar 

  28. J.F. Elliott and J. Chipman,J. Am. Chem. Soc, 73,2682 (1951).

    Article  Google Scholar 

  29. G.F.Voronin and A.M.Evseev,Russ. J. Phys.Chem., 33,373(1959).

    Google Scholar 

  30. B. Predel,Z Metallkd, 51,381 (1960).

    Google Scholar 

  31. K. Atarashiya, M. Uta, M. Shimoji, and K. Niwa,Bull. Chem. Soc. Jpn., 33,706 (1960).

    Article  Google Scholar 

  32. D.T. Hawkins and R. Hultgren,Trans. Metall AIME, 239, 1046 (1967).

    Google Scholar 

  33. S.K. Das and A. Ghosh,Metall. Trans., 3,803 (1972).

    Article  Google Scholar 

  34. C.S. Sivaramakrishnan and M.L. Kapoor,NML Tech. J., 20, 20 (1978).

    Google Scholar 

  35. F. Sommer, Y.H. Suh, and B. Predel,Z Metallkd., 69,470 (1978).

    Google Scholar 

  36. E. Sugimoto, S. Kuwata, and Z. Kozuka,Nippon Kogyo Kaishi, 98, 429 (1982).

    Google Scholar 

  37. A.T. Dinsdale,Calphad, 15,311 (1991).

    Article  Google Scholar 

  38. N. Saunders, AP. Miodownik, and A.T. Dinsdale,Calphad, 12,351 (1988).

    Article  Google Scholar 

  39. G. Borelius,Trans. AIME, 191, 477 (1951).

    Google Scholar 

  40. S. Ashtakala, AD. Pelton, and C.W. Bale,Bull Alloy Phase Dia- grams, 2,86 (1981).

    Article  Google Scholar 

  41. F. Degtyareva, S.A. Ivakhnenko, E.G. Ponyatovskii, and V.I. Rashchupkin,Sov. Phys. Solid State, 20(2), 238 (1978).

    Google Scholar 

  42. R.S. Dean,J. Am. Chem. Soc, 45,1683 (1923).

    Article  Google Scholar 

  43. B. Blumenthal,Trans. AIME, 156,240 (1944).

    Google Scholar 

  44. Z. Moser, K.L. Komarek, and A. Mikula,Z Metallkd, 67, 303 (1976).

    Google Scholar 

  45. A. Obmata and E. Schimd,Metatfwirtychaft 12,101(1933).

    Google Scholar 

  46. W.S. Pellini and F.N. Rhines,Trans. AIME, 152,65 (1943).

    Google Scholar 

  47. W. Oelsen, F. Johannsen, and A. Podgomik,Erzmetall, 9, 459 (1956).

    Google Scholar 

  48. F.E. Wittig and E. Gehring,Ber. Bunsenges. Phys. Chem., 71, 372 (1967).

    Google Scholar 

  49. A. Yazawa, T. Kawashima, and K. Itagaki,J. Jpn. Inst. Met, 32, 1288 (1968).

    Article  Google Scholar 

  50. K. Okajima and H. Sakao,Trans. Jpn. Inst. Met, 11,180 (1970).

    Article  Google Scholar 

  51. N. Saunders and A P. Miodownik, Provisional Assessment for the Metastable Lattice Stabilities for the Elements. Dept Materials Sci- ence and Engineering, University of Surrey (UK), Report (1987).

  52. J.B. Clark and C.W.F.T. Pistorius,J. Less-Common Met, 42, 59 (1975).

    Article  Google Scholar 

  53. L. Kaufman,Solids Under Pressure, McGraw-Hill, New York, 314 (1963).

    Google Scholar 

  54. B. Jönsson and J. Ågren,Mater. Sci. Technol, 2,913 (1986).

    Article  Google Scholar 

  55. K. Iwasé, N. Aoki, and A. Osawa,Sci. Rep. Res. Inst, Töhoku Univ., 20,353(1931).

    Google Scholar 

  56. B. Predel and W. Schwermann,J.Inst. Met, 99,169(1971).

    Google Scholar 

  57. K. Osamura,Bull. Alloy Phase Diagrams, 6,372 (1985).

    Article  Google Scholar 

  58. K. Iwasé and N. Aoki,Konzoku-no-Kenkyu, 8,253 (1931).

    Google Scholar 

  59. F.D. Weaver,J. Inst. Met, 56,209 (1935).

    Google Scholar 

  60. V.A Kogan and AA Semionov,Russ. J. Phys. Chem, 37, 416 (1963).

    Google Scholar 

  61. J. Sebková and M. Beránek,Kovové Mater., 18,660 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Materials Science, Faculty of Engineering Tohoku University, 980, Sendai, Japan

    H. Ohtani, K. Okuda & K. Ishida

Authors
  1. H. Ohtani
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. Okuda
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. K. Ishida
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Present address: Kawasaki Steel Corporation, Chiba 260, Japan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ohtani, H., Okuda, K. & Ishida, K. Thermodynamic study of phase equilibria in the Pb-Sn-Sb system. JPE 16, 416–429 (1995). https://doi.org/10.1007/BF02645349

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02645349

Keywords

Search

Navigation