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Thermodynamics of the Garnet—Plagioclase—Al2SiO5—Quartz Geobarometer

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Part of the Advances in Physical Geochemistry book series (PHYSICAL GEOCHE,volume 1)

Abstract

Until recently, the development of mineralogic geobarometry of crustal metamorphic assemblages has lagged far behind minéralogic geothermometry. Temperatures of crystallization of metamorphic rocks can be deduced from a number of relatively reliable thermometers. Pressures of metamorphism, on the other hand, have been estimated mainly semiquantitatively with reference to a few simple univariant equilibria such as the Al2SiO5 polymorphic relations. Various geobarometers based on continuous variation of mineral compositions have been proposed, but most of these are still in the conceptual stage, either lacking an underpinning of experimental or thermodynamic calibration or beset with as yet unresolved experimental difficulties, such as the H2O content of cordierite and its debated effects on the cordierite-garnet (Fe, Mg) partitioning geobarometer (Newton and Wood, 1979).

Keywords

  • Partial Molal Volume
  • Configurational Entropy
  • Excess Entropy
  • Excess Free Energy
  • Natural Garnet

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  • Anderson, P. A. M., and O. J. Kleppa, 1969, The thermochemistry of the kyanite-sillimanite equilibrium, Am. J. Sci., 267, 285–290.

    CrossRef  Google Scholar 

  • Charlu, T. V., R. C. Newton, and O. J. Kleppa, 1978, Enthalpy of formation of some lime silicates by high-temperature solution calorimetry, with discussion of high pressure phase equilibria, Geochim. Cosmochim. Acta, 42, 367–375.

    CrossRef  Google Scholar 

  • Cressey, G., R. Schmid, and B. J. Wood, 1978, Thermodynamic properties of almandine-grossular garnet solid solutions, Contrib. Mineral. Petrol., 67, 397–404.

    CrossRef  Google Scholar 

  • Dempsey, M. J., 1980, Evidence for structural changes in garnet caused by calcium substitution, Contrib. Mineral. Petrol., 71, 281–288.

    CrossRef  Google Scholar 

  • Ganguly, J., and G. C. Kennedy, 1974, The energetics of natural garnet solid solution: I. Mixing of the aluminosilicate end-members, Contrib. Mineral. Petrol., 48, 137–148.

    CrossRef  Google Scholar 

  • Ghent, E. D., 1976, Plagioclase-garnet—Al2SiO5-quartz: a potential geobarometer-geothermometer, Am. Mineral., 61, 710–714.

    Google Scholar 

  • Ghent, E. D., D. B. Robbins, and M. Z. Stout, 1979, Geothermometry, geobarometry, and fluid compositions of metamorphosed calcsilicates and pelites, Mica Creek, British Columbia, Am. Mineral., 64, 874–885.

    Google Scholar 

  • Goldsmith, J. R., 1980, Melting and breakdown reactions of anorthite at high pressures and temperatures, Am. Mineral., 65, 272–284.

    Google Scholar 

  • Grew, E. S., 1980, Sapphirine + quartz association from Archean rocks in Enderby Land, Antarctica, Am. Mineral., 65, 821–836.

    Google Scholar 

  • Hariya, Y., and G. C. Kennedy, 1968, Equilibrium study of anorthite under high pressure and high temperature, Am. J. Sci., 266, 193–203.

    CrossRef  Google Scholar 

  • Haselton, H. T., and R. C. Newton, 1980, Thermodynamics of pryrope-grossular garnets and their stabilities at high temperatures and pressures, J. Geophys. Res.

    Google Scholar 

  • Haselton, H. T., and E. F. Westrum, 1980, Low-temperature heat capacities of synthetic pyrope, grossular, and pyrope60grossular40, Geochim. Cosmochim. Acta.

    Google Scholar 

  • Hashimoto, M., 1968, Grossular-spessartine garnet from low-grade pelitic schist of the Katsuyama district, Okayama Prefecture, J. Geol. Soc. Japan, 74, 343–345.

    Google Scholar 

  • Hays, J. F., 1966, Lime-alumina-silica, Carnegie Inst. Wash. Yrbk., 65, 234–239.

    Google Scholar 

  • Hensen, B. J., 1977, The stability of osumilite in high grade metamorphic rocks, Contrib. Mineral. Petrol., 64, 197–204.

    CrossRef  Google Scholar 

  • Hensen, B. J., R. Schmid, and B. J. Wood, 1975, Activity-composition relations for pyrope-grossular garnet, Contrib. Mineral. Petrol., 51, 161–166.

    CrossRef  Google Scholar 

  • Holdaway, M. J., 1971, Stability of andalusite and the aluminum silicate phase diagram, Am. J. Sci., 271, 97–131.

    CrossRef  Google Scholar 

  • Hsu, L. C., 1978, The phase relationships in the system Ca3Al2Si3O12-Mn3Al2Si3O12-H2O at 2.0 kilobars, EOS, 59, 402.

    Google Scholar 

  • Hutcheon, I., E. Froese, and T. M. Gordon, 1974, The assemblage quartz-sillimanite-garnet-cordierite as an indicator of metamorphic conditions in the Daly Bay Complex, N.W.T., Contrib. Mineral. Petrol., 44, 29–34.

    CrossRef  Google Scholar 

  • Iiyama, J. T., and M. Volfinger, 1976, A model for trace-element distribution in silicate structures, Mineral. Mag., 40, 555–564.

    CrossRef  Google Scholar 

  • Kawasaki, T., and Y. Matsui, 1977, Partitioning of Fe2+ and Mg2+ between olivine and garnet, Earth Planet. Sci. Lett., 37, 159–166.

    CrossRef  Google Scholar 

  • Kays, M. A., and L. G. Medaris, 1976, Petrology of the Hara Lake paragneisses, Northeastern Saskatchewan, Canada, Contrib. Mineral. Petrol., 59, 141–159.

    CrossRef  Google Scholar 

  • Kerrick, D. M., and L. S. Darken, 1975, Statistical thermodynamic models for ideal oxide and silicate solid solutions, with application to plagioclase, Geochim. Cosmochim. Acta 39, 1431–1442.

    CrossRef  Google Scholar 

  • Kretz, R., 1959, Chemical study of garnet, biotite and hornblende from gneisses of southwestern Quebec, with emphasis on distribution of elements in coexisting minerals, J. Geol., 67, 371–403.

    CrossRef  Google Scholar 

  • Kroll, H., and W. F. Müller, 1980, X-ray and electron-optical investigation of synethetic high-temperature plagioclases, Phys. Chem. Mineral., 5, 255–278.

    Google Scholar 

  • Krupka, K. M., R. A. Robie, and B. S. Hemingway, 1977, The heat capacities of corundum, periclase, anorthite, CaAl2Si2O8 glass, muscovite, pyrophyllite, KAlSi3O8 glass, grossular, and NaAlSi3O8 between 350 and 1000 K, EOS, 58, 523.

    Google Scholar 

  • Lundgren, L. W., 1966, Muscovite reactions and partial melting in Southeastern Connecticut, J. Petrol., 7, 421–453.

    Google Scholar 

  • Nafziger, R. H., and A. Muan, 1967, Equilibrium phase compositions and thermodynamic properties of olivines and pyroxenes in the system MgO-“FeO”-SiO2, Am. Mineral., 53, 1364–1385.

    Google Scholar 

  • Newton, R. C., T. V. Charlu, and O. J. Kleppa, 1980, Thermochemistry of the high structural state plagioclases, Geochim. Cosmochim. Acta., 44, 933–941.

    CrossRef  Google Scholar 

  • 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.

    CrossRef  Google Scholar 

  • Newton, R. C., and B. J. Wood, 1980, Volume behavior of silicate solid solutions, Am. Mineral., 65, 733–745.

    Google Scholar 

  • Newton, R. C., and B. J. Wood, 1979, Thermodynamics of water in cordierite and some petrologic consequences of cordierite as a hydrous phase, Contrib. Mineral. Petrol., 68, 391–405.

    CrossRef  Google Scholar 

  • O’Neill, H. St. C., and B. J. Wood, 1979, An experimental study of Fe-Mg partitioning between garnet and olivine and its calibration as a geothermometer, Contrib. Mineral. Petrol., 70, 59–70.

    CrossRef  Google Scholar 

  • Orville, P. M., 1972, Plagioclase cation exchange equilibria with aqueous chloride solution: Results at 700°C and 2000 bars in the presence of quartz, Am. J. Sci., 272, 234–272.

    CrossRef  Google Scholar 

  • Perkins, D., 1979, Application of new thermodynamic data to mineral equilibria, Ph.D. Thesis, University of Michigan.

    Google Scholar 

  • Perkins, D., E. F. Westrum, and E. J. Essene, 1980, The thermodynamic properties and phase relations of some minerals in the system CaO-Al2O3-SiO2-H2O, Geochim. Cosmochim. Acta, 44, 61–84.

    CrossRef  Google Scholar 

  • Richardson, S. W., M. C. Gilbert, and P. M. Bell, 1969, Experimental determination of kyanite-andalusite and andalusite-sillimanite equilibria; the aluminum silicate triple point, Am. J. Sci., 267, 259–272.

    CrossRef  Google Scholar 

  • Robie, R. A., B. S. Hemingway, and W. H. Wilson, 1978, Low-temperature heat capacities and entropies of KAlSi3O8, NaAlSi3O8, and CaAl2Si2O8 glasses and of anorthite, Am. Mineral., 63, 110–123.

    Google Scholar 

  • Sack, R. O., 1980, Some constraints on the thermodynamic mixing properties of Fe-Mg orthopyroxenes and olivines, Contrib. Mineral. Petrol., 71, 237–246.

    CrossRef  Google Scholar 

  • Schmid, R., G. Cressey, and B. J. Wood, 1978, Experimental determination of univariant equilibria using divariant solid solution assemblages, Am. Mineral., 63, 511–515.

    Google Scholar 

  • Schmid, R., and B. J. Wood, 1976, Phase relationships in granulitic metapelites from the Ivrea-Verbano Zone (northern Italy), Contrib. Mineral. Petrol., 54, 255–279.

    CrossRef  Google Scholar 

  • Smith, J. V., 1974, Feldspar Minerals, vol. I. Crystal Structure and Physical Properties, Springer-Verlag, New York.

    Google Scholar 

  • Thompson, A. B., 1976, Mineral reactions in pelitic rocks. II. Calculation of some P-T-X (Fe-Mg) phase relations, Am. J. Sci., 276, 425–454.

    CrossRef  Google Scholar 

  • Tracy, R. J., P. Robinson, and A. B. Thompson, 1976, Garnet composition and zoning in the determination of temperature and pressure of metamorphism, central Massachusetts, Am. Mineral., 61, 762–775.

    Google Scholar 

  • Winkler, H. G. F., 1967, Petrogenesis of metamorphic rocks, Springer-Verlag, Berlin.

    Google Scholar 

  • Wood, B. J., and O. J. Kleppa, 1980, Thermochemistry of forsterite-fayalite olivine solution, Geochim. Cosmochim. Acta.

    Google Scholar 

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Newton, R.C., Haselton, H.T. (1981). Thermodynamics of the Garnet—Plagioclase—Al2SiO5—Quartz Geobarometer. In: Newton, R.C., Navrotsky, A., Wood, B.J. (eds) Thermodynamics of Minerals and Melts. Advances in Physical Geochemistry, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5871-1_7

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  • DOI: https://doi.org/10.1007/978-1-4612-5871-1_7

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