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
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).
R. Hultgren et al., Supplement to Selected Values of Thermodynamic Properties of Metals and Alloys,University of California, Berkeley (1966–1971).
L. Kaufman and H. Bernstein, Computer Calculation of Phase Diagrams, Academic, New York (1970).
K. A. Bolbshakov, P. I. Fedorov, E. I. Smarina, and I. N. Smirnova, Zh. Neorgan. Khim. 9, 1883 (1964).
C. Bodsworth and O. Kubaschewski, Metallurgical Chemistry, Preface (O. Kubaschewski, ed.), HMSO, London (1972).
L. Kaufman, in Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 373, HMSO, London (1972).
I. Ansara, in Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 403, HMSO, London (1972).
H. Harvig, T. Nishizawa, and B. Uhrenius, in Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 431, HMSO, London (1972).
J. F. Counsell, E. B. Lees, and P. J. Spencer, in Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 451, HMSO, London (1922).
J. F. Counsell and O. Kubaschewski, in Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 649, HMSO, London (1972).
C. H. P. Lupis and H. Gaye, in Metallurgical Chemistry (O. Kubaschewski, ed.), p. 469, HMSO, London (1972); Scripta Met. 4, 685 (1970).
G. Kirchner, H. Harvig, and B. Uhrenius, Met. Trans. 4, 1059 (1973).
H. Harvig, G. Kirchner, and M. Hillert, Met. Trans. 3, 329 (1972).
G. Kirchner, G. Larbo, and B. Uhrenius, Praktische Metallographie 8, 641 (1971).
G. Kirchner, H. Harvig, K.-R. Moquist, and M. Hillert, Arch. Eisenhiitt. 44,1973 (in press).
G. Kirchner, T. Nishizawa, and B. Uhrenius, Met. Trans. 4, 167 (1973).
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).
L. Kaufman and H. Nesor, Conf. on In Situ Composites,National Academy of Science, Washington, D.C., NMAB 308 III pp. 21–29.
L. Kaufman and H. Nesor, Z. Metallk. 64, 249 (1973).
P. J. Spencer and F. H. Putland, J. Iron and Steel Inst. 211, 293 (1973).
I. Ansara, E. Bonnier, and J. Mathieu, Z. Metallk. 64, 258 (1973).
N. J. Olson and G. N. Toop, Trans. Met. Soc. AIME 245, 905 (1969).
S. M. Carmio and J. L. Meijering, Z. Metallk. 64, 170 (1973).
E. Rudy and Y. A. Chang, in Plansee Proceedings, 1964 (F. Benesovsky, ed.), p. 786, Metallwerke Plansee AG, Reutte/Tyrol.
Y. A. Chang and D. Naujock, Met. Trans. 3, 1693 (1972).
R. F. Brebrick, Met. Trans. 2, 1657, 3377 (1971).
Y. K. Rao, in Phase Diagrams (A. Alper, ed.), Volume 1, p. 1, Academic, New York (1970).
J. F. Breedis and L. Kaufman, Met. Trans. 2, 2359 (1971).
J. B. Gilmore, G. R. Purdy, and J. Kirkaldy, Met. Trans. 3, 1455 (1972).
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).
L. A. Pugliese and G. R. Fitterer, Met. Trans. 1, 1997 (1970).
F. Mueller and F. H. Hayes, J. Chem. Thermo. 3, 599 (1971).
L. Kaufman, E. V. Clougherty, and R. J. Weiss, Acta Met. 11, 323 (1963).
A. P. Miodownik, in Int. Symp. on Metallugical Chemistry—Application in Ferrous Metallurgy ( B. B. Argent and M. W. Davies, eds.), HMSO, England (1972).
B. Predel and R. H. Mohs, Arch. Eisenhiitt. 41, 61 (1970).
R. W. Carpenter, C. T. Liu, and P. G. Mardon, Met. Trans. 2, 125 (1971).
M. B. Panish, in Phase Diagrams (A. Alper, ed.), Volume III, p. 53, Academic, New York (1970).
C. Wagner, Acta Met. 6, 309 (1958).
J. J. Vieland, Acta Met. 11, 137 (1963).
G. G. Libowitz and J. B. Lightstone, J. Phys. Chem. Solids 28, 1 145 (1967).
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).
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).
E. Rudy, Thermodynamics of Nuclear Materials, p. 243, IAEA, Vienna (1962).
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).
L. Kaufman and E. V. Clougherty, in Metals for the Space Age Plansee Proceedings, 1964 (F. Benesovsky, ed.), p. 722, Metallwerke Plansee, Reutte/Tyrol.
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).
B. Predel and R. H. Mohs, Arch. Eisenhütt. 41, 143 (1970).
A. P. Miodownik, Acta Met. 18, 51 (1970).
O. Kubaschewski and W. Slough, Progr. Mat. Sci. 14, 3 (1969).
O. Kubaschewski and L. E. H. Stuart, J. Chem. Eng. Data 12, 418 (1967).
D. Henriette, C. Gatellier, and M. Ollette, in Int. Symp. on Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 97, HMSO, London (1972).
E. Scheil and W. Normann, Arch. Eisenhütt. 30, 751 (1959).
E. Scheil and E. Saftig, Arch. Eisenhütt. 31, 623 (1960).
M. Hansen and K. Anderko, Constitution of Binary Alloys, McGraw-Hill, New York (1958).
R. P. Elliot, Constitution of Binary Alloys, First supplement, McGraw-Hill, New York (1965).
F. A. Shunk, Constitution of Binary Alloys, Second supplement, McGraw-Hill, New York (1968).
M. M. Rao, R. J. Russell, and P. G. Winchell, Trans. TMS-AIME 239, 641 (1967).
J. I. Goldstein and R. E. Ogilvie, Trans. TMS-AIME 233, 2083 (1965).
L. Kaufman and M. Cohen, Trans. AIME 206, 1393 (1956).
R. Fruehan, Trans. Met. Soc. AIME 242, 2007 (1968).
E. P. Hall and S. H. Algie, Metallurgical Rev. 11, 61 (1966).
F. Mueller and O. Kubaschewski, High Temperature-High Pressure 1, 543 (1969).
L. Kaufman, Scripta Met. 4, 437 (1969).
R. H. Moore, Chemical Metallurgy of Iron and Steel, Iron and Steel Inst. of London (1973), p. 360.
J. W. Pugh and J. D. Nisbet, Trans. Met. Soc. AIME 178, 268 (1950).
T. Lindemer, Oak Ridge National Laboratory, Oak Ridge, Tennessee, Private communication (December 1971).
F. P. Bundy, J. Appl. Phys. 38, 2446 (1967).
T. R. Loree, C. M. Fowler, E. G. Zukas, and F. S. Minshall, J. Appl. Phys. 37, 1918 (1966).
J. F. Breedis and L. Kaufman, Met. Trans. 2, 2359 (1971).
P. M. Giles and A. Marder, Met. Trans. 2, 1371 (1971).
A. Fraker and H. H. Stadelmaier, Trans. Met. Soc. AIME 245, 847 (1969).
V. Ya. Markiv, V. V. Burnashova, L. I. Pryakhina, and K. P. Myasnikova, Metally 1969, 180.
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).
B. Bredel and D. W. Stein, Acta Met. 20, 515 (1972).
D. Clark, K. S. Jepson, and C. J. Lewis, J. Inst. Metals 91,197 (1962–1963).
M. J. Blackburn, Trans. Met. Soc. AIME 239, 1200 (1967).
F. A. Crossley, Trans. Met. Soc. AIME 242, 726 (1968).
M. J. Blackburn, Trans. Met. Soc. AIME 242, 728 (1968).
E. Rudy, Compendium of Phase Diagram Data, AFML-TR-65–2, Part V, Wright-Patterson Air Force Base, Ohio, 1969.
J. F. Martin, F. Muller, and O. Kubaschewski, Trans. Faraday Soc. 66, 1065 (1970).
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.
L. Kaufman and H. Bernstein, Phase Diagrams (A. Alper, ed.), Volume 1, p. 45, Academic, New York (1970).
M. M. Savel’eva and N. V. Grum-Grzhimaylo, Izv. Akad. Nauk SSSR, Metally 1, 224 (1969).
I. I. Kornilov, S. P. Alisova, and P. B. Budberg, Izv. Akad. Nauk SSSR, Neorg. Mater. 1, 2205 (1965).
M. I. Zakharova and D. A. Prokoshkim, Izv. Akad. Nauk SSSR Otd. Tekh. Nauk Met. i Topliva 4, 59 (1961).
H. J. Goldschmidt and J. A. Brandt, J. Less-Common Metals 3, 44 (1961).
Binary and Ternary Phase Diagrams of Cb, Mo, Ta and W, DMIC Report 183, February 7, 1963, Battelle Memorial Institute, Columbus, Ohio.
S. C. Singhal and W. L. Worrell, in Int. Symp. on Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 149, HMSO, London (1971).
Toshio Doy, Masahiro Kitada, and Fumihiko Ishida, J. Japan. Inst. Metals 32, 684 (1968).
L. Kaufman and H. Nesor, in Ann. Rev. of Material Sci. (R. Huggins, ed.), Vol. 3, Annual Reviews, Palo Alto, California (1973).
R. M. German and G. R. St. Pierre, Met. Trans. 3, 2819 (1972).
J. Swartz, Met. Trans. 2, 2318 (1971).
H. Strong, Trans. Met. Soc. AIME 233, 643 (1965).
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).
G. J. Schoessow, Graphite Triple Point and Solidus-Liquidus Interface Experimentally Determined to 1000 Atmospheres, NASA CR-1148, July 1968.
N. S. Diaconis, E. R. Stover, J. Hook, and G. J. Catalano, Graphite Melting Behavior, AFML-TR-71–119, July 1971.
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).
A. D. Kulkarni and W. L. Worrell, Met. Trans. 3, 2363 (1972).
J. Chipman, Met. Trans. 3, 55 (1972).
H. Schenk, E. Steinmetz, and M. Gloz, in Metallurgical Chemistry ( O. Kubaschewski, ed.), p. 445, HMSO, London (1972).
W. Jellinghaus, Arch. Eisenhütt. 40, 843 (1969).
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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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