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Relation of the Thermochemistry and Phase Diagrams of Condensed Systems

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Changes of State

Part of the book series: Treatise on Solid State Chemistry ((TSSC,volume 5))

Abstract

The relation between the thermochemistry and the phase diagram of a condensed system is an identity. Although this identity was rather well known to the chemists, metallurgists, and ceramists who practiced in the early decades of this century, most practitioners educated after the second world war seem to be unaware of the equivalence. Indeed, the field of phase diagrams is almost exclusively tilled by metallurgists and ceramists, while thermochemical aspects of condensed systems is the exclusive province of chemists. This dichotomy is extremely wasteful since the integrated description of a system permits interrelation of phase diagram and thermochemical data yielding a more complete description of a given system. The description of the magnesium—gallium—aluminum system shown in Table 1 and Figure 1 illustrates the interrelation between thermochemical and phase diagram data and serves to review the whole problem for those who are accustomed to dealing only with the component parts. Table 1 summarizes the free energy of formation of Mg—Ga and Mg—Al compounds at 300°K. These free energies of formation have been calculated from measurements of the thermochemical properties of the Mg—Ga and Mg—Al systems(1,2) using techniques which have been described in detail(3) for combining phase diagram and thermochemical data.

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References

  1. R. Hultgren, R. L. Orr, P. D. Anderson, and K. K. Kelley, Selected Values of Thermodynamic Properties of Metals and Alloys, Wiley, New York (1963).

    Google Scholar 

  2. R. Hultgren et al., Supplement to Selected Values of Thermodynamic Properties of Metals and Alloys,University of California, Berkeley (1966–1971).

    Google Scholar 

  3. L. Kaufman and H. Bernstein, Computer Calculation of Phase Diagrams, Academic, New York (1970).

    Google Scholar 

  4. K. A. Bolbshakov, P. I. Fedorov, E. I. Smarina, and I. N. Smirnova, Zh. Neorgan. Khim. 9, 1883 (1964).

    Google Scholar 

  5. C. Bodsworth and O. Kubaschewski, Metallurgical Chemistry, Preface (O. Kubaschewski, ed.), HMSO, London (1972).

    Google Scholar 

  6. L. Kaufman, in Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 373, HMSO, London (1972).

    Google Scholar 

  7. I. Ansara, in Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 403, HMSO, London (1972).

    Google Scholar 

  8. H. Harvig, T. Nishizawa, and B. Uhrenius, in Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 431, HMSO, London (1972).

    Google Scholar 

  9. J. F. Counsell, E. B. Lees, and P. J. Spencer, in Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 451, HMSO, London (1922).

    Google Scholar 

  10. J. F. Counsell and O. Kubaschewski, in Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 649, HMSO, London (1972).

    Google Scholar 

  11. C. H. P. Lupis and H. Gaye, in Metallurgical Chemistry (O. Kubaschewski, ed.), p. 469, HMSO, London (1972); Scripta Met. 4, 685 (1970).

    Google Scholar 

  12. G. Kirchner, H. Harvig, and B. Uhrenius, Met. Trans. 4, 1059 (1973).

    Article  CAS  Google Scholar 

  13. H. Harvig, G. Kirchner, and M. Hillert, Met. Trans. 3, 329 (1972).

    Article  CAS  Google Scholar 

  14. G. Kirchner, G. Larbo, and B. Uhrenius, Praktische Metallographie 8, 641 (1971).

    CAS  Google Scholar 

  15. G. Kirchner, H. Harvig, K.-R. Moquist, and M. Hillert, Arch. Eisenhiitt. 44,1973 (in press).

    Google Scholar 

  16. G. Kirchner, T. Nishizawa, and B. Uhrenius, Met. Trans. 4, 167 (1973).

    Article  CAS  Google Scholar 

  17. L. Kaufman and H. Nesor, in Titanium Science and Technology ( R. I. Jaffee and H. M. Burte, eds.), pp. 773–800, Plenum, New York (1973).

    Google Scholar 

  18. L. Kaufman and H. Nesor, Conf. on In Situ Composites,National Academy of Science, Washington, D.C., NMAB 308 III pp. 21–29.

    Google Scholar 

  19. L. Kaufman and H. Nesor, Z. Metallk. 64, 249 (1973).

    CAS  Google Scholar 

  20. P. J. Spencer and F. H. Putland, J. Iron and Steel Inst. 211, 293 (1973).

    CAS  Google Scholar 

  21. I. Ansara, E. Bonnier, and J. Mathieu, Z. Metallk. 64, 258 (1973).

    CAS  Google Scholar 

  22. N. J. Olson and G. N. Toop, Trans. Met. Soc. AIME 245, 905 (1969).

    CAS  Google Scholar 

  23. S. M. Carmio and J. L. Meijering, Z. Metallk. 64, 170 (1973).

    CAS  Google Scholar 

  24. E. Rudy and Y. A. Chang, in Plansee Proceedings, 1964 (F. Benesovsky, ed.), p. 786, Metallwerke Plansee AG, Reutte/Tyrol.

    Google Scholar 

  25. Y. A. Chang and D. Naujock, Met. Trans. 3, 1693 (1972).

    Article  CAS  Google Scholar 

  26. R. F. Brebrick, Met. Trans. 2, 1657, 3377 (1971).

    CAS  Google Scholar 

  27. Y. K. Rao, in Phase Diagrams (A. Alper, ed.), Volume 1, p. 1, Academic, New York (1970).

    Google Scholar 

  28. J. F. Breedis and L. Kaufman, Met. Trans. 2, 2359 (1971).

    Article  CAS  Google Scholar 

  29. J. B. Gilmore, G. R. Purdy, and J. Kirkaldy, Met. Trans. 3, 1455 (1972).

    Article  Google Scholar 

  30. L. Kaufman, Phase Stability in Metals and Alloys (P. S. Rudman, J. Stringer, and R. I. Jaffee, eds.), p. 125, McGraw-Hill, New York (1967).

    Google Scholar 

  31. L. A. Pugliese and G. R. Fitterer, Met. Trans. 1, 1997 (1970).

    Article  CAS  Google Scholar 

  32. F. Mueller and F. H. Hayes, J. Chem. Thermo. 3, 599 (1971).

    Article  CAS  Google Scholar 

  33. L. Kaufman, E. V. Clougherty, and R. J. Weiss, Acta Met. 11, 323 (1963).

    Article  CAS  Google Scholar 

  34. A. P. Miodownik, in Int. Symp. on Metallugical Chemistry—Application in Ferrous Metallurgy ( B. B. Argent and M. W. Davies, eds.), HMSO, England (1972).

    Google Scholar 

  35. B. Predel and R. H. Mohs, Arch. Eisenhiitt. 41, 61 (1970).

    CAS  Google Scholar 

  36. R. W. Carpenter, C. T. Liu, and P. G. Mardon, Met. Trans. 2, 125 (1971).

    Article  CAS  Google Scholar 

  37. M. B. Panish, in Phase Diagrams (A. Alper, ed.), Volume III, p. 53, Academic, New York (1970).

    Google Scholar 

  38. C. Wagner, Acta Met. 6, 309 (1958).

    Article  CAS  Google Scholar 

  39. J. J. Vieland, Acta Met. 11, 137 (1963).

    Article  CAS  Google Scholar 

  40. G. G. Libowitz and J. B. Lightstone, J. Phys. Chem. Solids 28, 1 145 (1967).

    Google Scholar 

  41. R. F. Brebrick, in Progress in Solid State Chemistry (H. Reiss, ed.), Volume III, p. 213, Pergamon (1966); J. Solid State Chem. 1, 88 (1969).

    Google Scholar 

  42. L. Kaufman and E. V. Clougherty, in Metallurgy at High Pressure and High Temperature (K. A. Gschneider, M. T. Hepworth, and N. A. D. Parlee, eds.), Gordon and Breach, New York; Met. Soc. Conf. AIME 22, 322 (1964).

    Google Scholar 

  43. E. Rudy, Thermodynamics of Nuclear Materials, p. 243, IAEA, Vienna (1962).

    Google Scholar 

  44. L. Kaufman, in Compounds of Interest in Nuclear Reactor Technology (J. T. Waber, P. Chiotti, and W. N. Miner, eds.), pp. 193, 267, AIME, New York (1964).

    Google Scholar 

  45. L. Kaufman and E. V. Clougherty, in Metals for the Space Age Plansee Proceedings, 1964 (F. Benesovsky, ed.), p. 722, Metallwerke Plansee, Reutte/Tyrol.

    Google Scholar 

  46. L. Kaufman and G. Stepakoff, Third Conf on the Performance of High Temperature Systems (G. Bahn, ed.), p. 33, Gordon and Breach, New York (1964).

    Google Scholar 

  47. B. Predel and R. H. Mohs, Arch. Eisenhütt. 41, 143 (1970).

    CAS  Google Scholar 

  48. A. P. Miodownik, Acta Met. 18, 51 (1970).

    Article  Google Scholar 

  49. O. Kubaschewski and W. Slough, Progr. Mat. Sci. 14, 3 (1969).

    Article  Google Scholar 

  50. O. Kubaschewski and L. E. H. Stuart, J. Chem. Eng. Data 12, 418 (1967).

    Article  CAS  Google Scholar 

  51. D. Henriette, C. Gatellier, and M. Ollette, in Int. Symp. on Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 97, HMSO, London (1972).

    Google Scholar 

  52. E. Scheil and W. Normann, Arch. Eisenhütt. 30, 751 (1959).

    CAS  Google Scholar 

  53. E. Scheil and E. Saftig, Arch. Eisenhütt. 31, 623 (1960).

    CAS  Google Scholar 

  54. M. Hansen and K. Anderko, Constitution of Binary Alloys, McGraw-Hill, New York (1958).

    Google Scholar 

  55. R. P. Elliot, Constitution of Binary Alloys, First supplement, McGraw-Hill, New York (1965).

    Google Scholar 

  56. F. A. Shunk, Constitution of Binary Alloys, Second supplement, McGraw-Hill, New York (1968).

    Google Scholar 

  57. M. M. Rao, R. J. Russell, and P. G. Winchell, Trans. TMS-AIME 239, 641 (1967).

    Google Scholar 

  58. J. I. Goldstein and R. E. Ogilvie, Trans. TMS-AIME 233, 2083 (1965).

    CAS  Google Scholar 

  59. L. Kaufman and M. Cohen, Trans. AIME 206, 1393 (1956).

    Google Scholar 

  60. R. Fruehan, Trans. Met. Soc. AIME 242, 2007 (1968).

    Google Scholar 

  61. E. P. Hall and S. H. Algie, Metallurgical Rev. 11, 61 (1966).

    Google Scholar 

  62. F. Mueller and O. Kubaschewski, High Temperature-High Pressure 1, 543 (1969).

    CAS  Google Scholar 

  63. L. Kaufman, Scripta Met. 4, 437 (1969).

    Google Scholar 

  64. R. H. Moore, Chemical Metallurgy of Iron and Steel, Iron and Steel Inst. of London (1973), p. 360.

    Google Scholar 

  65. J. W. Pugh and J. D. Nisbet, Trans. Met. Soc. AIME 178, 268 (1950).

    Google Scholar 

  66. T. Lindemer, Oak Ridge National Laboratory, Oak Ridge, Tennessee, Private communication (December 1971).

    Google Scholar 

  67. F. P. Bundy, J. Appl. Phys. 38, 2446 (1967).

    Article  CAS  Google Scholar 

  68. T. R. Loree, C. M. Fowler, E. G. Zukas, and F. S. Minshall, J. Appl. Phys. 37, 1918 (1966).

    Article  CAS  Google Scholar 

  69. J. F. Breedis and L. Kaufman, Met. Trans. 2, 2359 (1971).

    Article  CAS  Google Scholar 

  70. P. M. Giles and A. Marder, Met. Trans. 2, 1371 (1971).

    CAS  Google Scholar 

  71. A. Fraker and H. H. Stadelmaier, Trans. Met. Soc. AIME 245, 847 (1969).

    CAS  Google Scholar 

  72. V. Ya. Markiv, V. V. Burnashova, L. I. Pryakhina, and K. P. Myasnikova, Metally 1969, 180.

    Google Scholar 

  73. H. L. Gegel and M. Hoch, in Titanium Science and Technology ( R. I. Jaffee and H. M. Burte, eds.), pp. 923–934, Plenum, New York (1973).

    Google Scholar 

  74. B. Bredel and D. W. Stein, Acta Met. 20, 515 (1972).

    Article  Google Scholar 

  75. D. Clark, K. S. Jepson, and C. J. Lewis, J. Inst. Metals 91,197 (1962–1963).

    Google Scholar 

  76. M. J. Blackburn, Trans. Met. Soc. AIME 239, 1200 (1967).

    CAS  Google Scholar 

  77. F. A. Crossley, Trans. Met. Soc. AIME 242, 726 (1968).

    CAS  Google Scholar 

  78. M. J. Blackburn, Trans. Met. Soc. AIME 242, 728 (1968).

    CAS  Google Scholar 

  79. E. Rudy, Compendium of Phase Diagram Data, AFML-TR-65–2, Part V, Wright-Patterson Air Force Base, Ohio, 1969.

    Google Scholar 

  80. J. F. Martin, F. Muller, and O. Kubaschewski, Trans. Faraday Soc. 66, 1065 (1970).

    Article  CAS  Google Scholar 

  81. V. N. Svechnikov and V. M. Pan, Summaries Sci. Work, Inst. Metal Phys., Acad. Sci. Ukr SSR 1962(8), 46–57; 1962(15), 156–162.

    Google Scholar 

  82. L. Kaufman and H. Bernstein, Phase Diagrams (A. Alper, ed.), Volume 1, p. 45, Academic, New York (1970).

    Google Scholar 

  83. M. M. Savel’eva and N. V. Grum-Grzhimaylo, Izv. Akad. Nauk SSSR, Metally 1, 224 (1969).

    Google Scholar 

  84. I. I. Kornilov, S. P. Alisova, and P. B. Budberg, Izv. Akad. Nauk SSSR, Neorg. Mater. 1, 2205 (1965).

    CAS  Google Scholar 

  85. M. I. Zakharova and D. A. Prokoshkim, Izv. Akad. Nauk SSSR Otd. Tekh. Nauk Met. i Topliva 4, 59 (1961).

    Google Scholar 

  86. H. J. Goldschmidt and J. A. Brandt, J. Less-Common Metals 3, 44 (1961).

    Article  CAS  Google Scholar 

  87. Binary and Ternary Phase Diagrams of Cb, Mo, Ta and W, DMIC Report 183, February 7, 1963, Battelle Memorial Institute, Columbus, Ohio.

    Google Scholar 

  88. S. C. Singhal and W. L. Worrell, in Int. Symp. on Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 149, HMSO, London (1971).

    Google Scholar 

  89. Toshio Doy, Masahiro Kitada, and Fumihiko Ishida, J. Japan. Inst. Metals 32, 684 (1968).

    Google Scholar 

  90. L. Kaufman and H. Nesor, in Ann. Rev. of Material Sci. (R. Huggins, ed.), Vol. 3, Annual Reviews, Palo Alto, California (1973).

    Google Scholar 

  91. R. M. German and G. R. St. Pierre, Met. Trans. 3, 2819 (1972).

    Article  CAS  Google Scholar 

  92. J. Swartz, Met. Trans. 2, 2318 (1971).

    Article  CAS  Google Scholar 

  93. H. Strong, Trans. Met. Soc. AIME 233, 643 (1965).

    Google Scholar 

  94. L. Kaufman, S. V. Radcliffe, and M. Cohen, in Decomposition of Austenite by Diffusional Processes ( V. F. Zackay and H. I. Aaronson, eds.), p. 313, AIMEInterscience, New York (1962).

    Google Scholar 

  95. G. J. Schoessow, Graphite Triple Point and Solidus-Liquidus Interface Experimentally Determined to 1000 Atmospheres, NASA CR-1148, July 1968.

    Google Scholar 

  96. N. S. Diaconis, E. R. Stover, J. Hook, and G. J. Catalano, Graphite Melting Behavior, AFML-TR-71–119, July 1971.

    Google Scholar 

  97. L. Kaufman and E. V. Clougherty, Metallurgy at high pressures and high temperatures, in Metallurgical Society Conferences (K. A. Gschneider, M. T. Hepworth, and N. A. P. Parlee, eds.), Volume 22, p. 322, Gordon and Breach, New York (1964).

    Google Scholar 

  98. A. D. Kulkarni and W. L. Worrell, Met. Trans. 3, 2363 (1972).

    Article  CAS  Google Scholar 

  99. J. Chipman, Met. Trans. 3, 55 (1972).

    Article  CAS  Google Scholar 

  100. H. Schenk, E. Steinmetz, and M. Gloz, in Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 445, HMSO, London (1972).

    Google Scholar 

  101. W. Jellinghaus, Arch. Eisenhütt. 40, 843 (1969).

    CAS  Google Scholar 

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Kaufman, L., Nesor, H. (1975). Relation of the Thermochemistry and Phase Diagrams of Condensed Systems. In: Hannay, N.B. (eds) Changes of State. Treatise on Solid State Chemistry, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1120-2_4

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