Calculation of Thermodynamic Properties of End-Member Minerals from Natural Parageneses

  • L. L. Perchuk
  • K. K. Podlesskii
  • L. Ya. Aranovich
Part of the Advances in Physical Geochemistry book series (PHYSICAL GEOCHE, volume 1)


Progress in mineral calorimetry and in the methods of calculation of the properties of rock-forming minerals by thermodynamic treatment of the experimental data on mineral equilibria is evident in a number of recent tabulations of standard thermodynamic data (Karpov et al., 1976, 1977; Robie and Waldbaum, 1968; Robie et al., 1978; Helgeson et al., 1978; etc.). A considerable body of data on the thermodynamic properties of solid solutions has also been obtained from experimental and theoretical studies (Perchuk and Andrianova, 1968; Perchuk, 1968, 1977; Wood, 1974, 1977; Cressey et al., 1978; Saxena, 1973).


Thermodynamic Property Molar Gibbs Free Energy Reference Mineral Ideal Solution Model Phase Correspondence 
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  1. Aranovich, L. Ya., and K. K. Podlesskii, 1980, Garnet-plagioclase geobarometer, Acad. Nauk. USSR Dokl., 251, 1216–1219.Google Scholar
  2. Ashworth, J. R., and C. A. Chinner, 1978, Coexisting garnet and cordierite in migmatites from the Scottish Caledonides, Contrib. Mineral. Petrol., 65, 379–394.CrossRefGoogle Scholar
  3. Burnham, C. W., J. R. Holloway, and N. F. Davis, 1969, Thermodynamic properties of water to 1000°C and 10,000 bars, Geol. Soc. Am. Spec. Pap., 132.Google Scholar
  4. Cressey, G., 1978, The mixing properties of almandine-grossular garnets, in Progress in Experimental Petrology, Series D, N 11, Vol. 4, pp. 72–78, The National Environmental Research Council, Edinburgh.Google Scholar
  5. Cressey, G., R. Schmid, and B. J. Wood, 1978, Thermodynamic properties of almandine-grossular garnet solid solution, Contrib. Mineral. Petrol., 67, 397–405.CrossRefGoogle Scholar
  6. Engi, M., 1978, Mg-Fe exchange equilibria among Al-Cr spinels, olivine, orthopyroxene, and cordierite, Doctor of Natural Science Dissertation, Zurich.Google Scholar
  7. Fed’kin, V. V., Staurolite. Moscow, Nauka, 270 pp. (1975).Google Scholar
  8. Ghent, E. D., 1976, Plagioclase-garnet-Al2SiO5-quartz: a potential geobarometergeothermometer, Am. Mineral., 61, 710–714.Google Scholar
  9. Ghent, E. D., D. B. Robbins, and M. Z. Stout, 1979, Geothermometry, geobarometry, and fluid inclusions of metamorphosed calc-silicates and pelites, Mica Creek, British Columbia, Am. Mineral., 64, 874–885.Google Scholar
  10. Helgeson, H. C., J. M. Delany, H. W. Nesbitt, and D. K. Bird, 1978, Summary and critique of the thermodynamic properties of rock-forming minerals, Am. J. Sci., 278A.Google Scholar
  11. Hensen, B. J., and D. H. Green, 1973, Experimental study of the stability of cordierite and garnet in pelitic compositions at high pressures and temperatures. III Synthesis of experimental data and geological applications, Contrib. Mineral. Petrol., 38, 151–166.CrossRefGoogle Scholar
  12. Holdaway, M. J., 1971, Stability of andalusite and the aluminum silicate phase diagram, Am. J. Sci., 271, 97–131.CrossRefGoogle Scholar
  13. Hutcheon, I., E. Froese, and T. M. Gordon, 1974, The assemblage quartz-silimanitegarnet-cordierite as an indicator of metamorphic conditions in the Daly Bay Complex, N.W.T., Contrib. Mineral. Petrol., 44, 29–34.CrossRefGoogle Scholar
  14. Kaminení, D. C., 1975, Chemical mineralogy of some cordierite-bearing rocks near Yellowknife, North-west Territories, Canada, Contrib. Mineral. Petrol., 53, 293–310.CrossRefGoogle Scholar
  15. Karpov, I. K., A. I. Kiselev, and F. A. Letnikov, 1976, The Modelling of Rock-Forming Natural Processes, Nedra, Moscow.Google Scholar
  16. Karpov, I. K., P. I. Dorogokupets, and V. V. Lashkevich, 1977, Optimal thermodynamic properties of rock-forming minerals, in Geochemistry of Endogenic Processes, edited by L. V. Tauson, pp. 196-202, Irkutsk.Google Scholar
  17. Kays, M. A., and L. G. Medaris, Jr., 1976, Petrology of the Hara Lake paragneisses Northeastern Saskatchewan, Canada, Contrib. Mineral. Petrol., 59, 141–159.CrossRefGoogle Scholar
  18. Korsman, K., 1977, Progressive metamorphism of the metapelites in the Rantasalmi-Sulkewa area, south eastern Finland, Geol. Surv. Finl. Bull., 290.Google Scholar
  19. Kwak, T. A. P., 1970, An attempt to correlate non-predicted variations of distribution coefficients with mineral grain internal inhomogeneity using a field example studied near Sudbury, Ontario, Contrib. Mineral. Petrol., 53, 26–42.Google Scholar
  20. Lundgren, L. W., 1966, Muscovite reactions and partial melting in Southeastern Connecticut, J. Petrol., 7 (pt. 3), 421–453.Google Scholar
  21. Newton, R. C., T. V. Charlu, and O. J. Kleppa, 1980, Thermochemistry of the high structural state plagioclases, Geochim. Cosmochim. Acta., 44, 933–941.CrossRefGoogle Scholar
  22. Newton, R. C., T. V. Charlu, and O. J. Kleppa, 1977, Thermochemistry of high pressure garnets and clinopyroxenes in the system CaO-MgO-Al2O3-SiO2, Geochim. Cosmochim. Acta, 41, 369–377.CrossRefGoogle Scholar
  23. Perchuk, L. L., 1967, Biotite-garnet geothermometer, Akad. Nauk USSR Dokl., 177, 411–414.Google Scholar
  24. Perchuk, L. L., 1968, Pyroxene-garnet equilibrium and the depth facies of eclogites, Intern. Geol. Rev., 10, 280–318.CrossRefGoogle Scholar
  25. Perchuk, L. L., 1969, The effect of temperature and pressure on the equilibrium of natural iron-magnesium minerals, Intern. Geol. Rev., 11, 875–901.CrossRefGoogle Scholar
  26. Perchuk, L. L., 1970, Equilibria of Rock-Forming Minerals, Nauka, Moscow.Google Scholar
  27. Perchuk, L. L., 1977, Thermodynamic control of metamorphic processes, in Energetics of Geologocial Processes, edited by S. K. Saxena and Batacharji, pp. 285–352, Springer-Verlag, New York.Google Scholar
  28. Perchuk, L. L., and Z. S. Andrianova, 1968, Thermodynamics of equilibrium of alkali feldspar (K, Na)AlSi3O8 with aqueous solution (K, Na)Cl at 500–800°C and 2000–4000 bar pressure, in Theoretical and Experimental Studies of Mineral Equilibria, edited by I. Ya. Nekrasov, pp. 37–72, Nauka, Moscow.Google Scholar
  29. Perchuk, L. L., and L. Ya. Aranovich, 1979, Thermodynamics of minerals of variable composition, Phys. Chem. Mineral., 5, 1–14.CrossRefGoogle Scholar
  30. Perchuk, L. L., and I. D. Ryabchikov, 1976, Phase Correspondence in Mineral Systems, Nedra, Moscow.Google Scholar
  31. Perchuk, L. L., V. N. Zyrianov, K. K. Podlesskii, A. R. Kotelnikov, L. Ya. Aranovich, and I. V. Lavrent’eva, 1977, Excess mixing energies of minerals of variable composition, Phys. Chem. Mineral., 3, 301–307.Google Scholar
  32. Robie, R. A., B. S. Hemingway, and J. R. Fisher, 1978, Thermodynamic properties of minerals and related substances at 298.15 K and 1 bar (105 Pascals) pressure and at higher temperatures, U.S. Geol. Surv. Bull., 1452.Google Scholar
  33. Robie, R. A., and D. R. Waldbaum, 1968, Thermodynamic properties of minerals and related substances at 298.15°K (25.0°C) and one atmosphere (1.013 bars) pressure and at higher temperatures, U.S. Geol. Surv. Bull., 1259.Google Scholar
  34. Shkodzinskii, V. S., 1976, Problems of physico-chemical petrology and migmatite genesis, Nauka, Novosivirsk.Google Scholar
  35. Saxena, S. K., 1973, Thermodynamics of Rockforming Crystalline Solutions, Springer, Berlin/Heidelberg/New York.Google Scholar
  36. Schmid, R., G. Cressey, and B. J. Wood, 1978, Experimental determination of univariant equilibria using divariant solid solution assemblages, in Progress in Experimental Petrology, Series D, N 11, pp. 86-89, The National Environmental Research Council, Edinburgh.Google Scholar
  37. Sen, S. R., and K. R. Chakraborty, 1968, Magnesium-iron exchange equilibrium in garnet-biotite and metamorphic grade, N. Jb. Mineral. Abh., B, 108, 181–207.Google Scholar
  38. Thompson, A. B., 1976, Mineral reactions in pelitic rocks: I. Prediction of P-T-X (FE-Mg) phase relations, Am. J. Sci., 276, 401–424.CrossRefGoogle Scholar
  39. Tracy, R. J., P. Robinson, and A. B. Thompson, 1976, Garnet composition and zoning in the determination of temperature and pressure of metamorphism in central Massachusetts, Am. Mineral. 61, 762–775.Google Scholar
  40. Wones, D. R., and H. P. Eugster, 1965, Stability of biotite: experiment, theory, and application, Am. Mineral., 50, 1228–1272.Google Scholar
  41. Wood, B. J., 1974, The solubility of alumina in orthopyroxene coexisting with garnet, Contrib. Mineral. Petrol., 46, 1–15.CrossRefGoogle Scholar
  42. Wood, B. J., 1977, The activities of components in clinopyroxene and garnet solid solutions and their application to rocks, Philos. Trans. Roy. Soc. London Ser. A, 236, 331–342.Google Scholar
  43. Wood, B. J., and Sh. Banno, 1973, Garnet-orthopyroxene and orthopyroxene-clinopyroxene relationships in simple and complex systems, Contrib. Mineral. Petrol., 42, 109–124.CrossRefGoogle Scholar
  44. Zen, E-an, 1973, Thermochemical parameters of minerals from oxygen-buffered hydrothermal equilibrium data: method, application to annite and almandine, Contrib. Mineral. Petrol., 39, 65–80.CrossRefGoogle Scholar
  45. Zyrianov, V. N., L. L. Perchuk, and K. K. Podlesskii, 1978, Nepheline-alkali feldspar equilibria: I. Experimental data and thermodynamic calculations, J. Petrol., 19, 1–44.Google Scholar

Copyright information

© Springer-Verlag New York Inc 1981

Authors and Affiliations

  • L. L. Perchuk
  • K. K. Podlesskii
  • L. Ya. Aranovich

There are no affiliations available

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