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Thermodynamic Analysis of Simple Mineral Systems

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Thermodynamics of Minerals and Melts

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

Abstract

This chapter does not attempt a complete description of the thermodynamics of simple mineral equilibria, but rather explores some of the consequences and pitfalls of various methods of handling thermodynamic data and of making several of the common simplifying assumptions. In particular, methods are discussed of taking measured heat capacity data and refitting them to an equation that can be extrapolated with a minimum of danger to high temperatures.

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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.

    Article  Google Scholar 

  • Anderson, P. A. M., R. C. Newton, and O. J. Kleppa, 1977, The enthalpy change of the andalusite-sillimanite reaction and the Al2SiO5 diagram, Am. J. Sci. 277, 585–593.

    Article  Google Scholar 

  • Bulakh, A. G., 1979, Thermodynamic properties and phase transitions of H2O up to 1000°C and 100 kbar, Int. Geol. Rev. 21, 92–102.

    Article  Google Scholar 

  • 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 

  • Charlu, T. V., R. C. Newton, and O. J. Kleppa, 1975, Enthalpies of formation at 970°K of compounds in the system MgO-Al2O3-SiO2 from high temperature solution calorimetry. Geochim, Cosmochim. Acta 39, 1487–1497.

    Article  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.

    Article  Google Scholar 

  • Danckwerth, P., and R. C. Newton, 1978, Experimental determination of the spinel peridotite to garnet peridotite reaction in the system MgO-Al2O3-SiO2 in the range 900°C–1100°C and A12O3 isopleths of enstatite in the spinel field, Contrib. Mineral Petrol 66, 189–201.

    Article  Google Scholar 

  • Delany, J. M., and H. C. Helgeson, 1978, Calculation of the thermodynamic consequences of dehydration in subducting oceanic crust to 100 kb and > 800°C, Am. J. Sci. 278, 638–686.

    Article  Google Scholar 

  • Fisher, J. R., and E-An Zen, 1971, Thermochemical calculations from hydrothermal phase equilibrium data and the free energy of H2O, Am. J. Sci. 270, 297–314.

    Article  Google Scholar 

  • Goldsmith, J. R., 1979, personal communication.

    Google Scholar 

  • Haselton, H. T., Jr., W. E. Sharp, and R. C. Newton, 1978, CO2 fugacity at high temperatures and pressures from experimental decarbonation reactions, Geophys. Res. Lett. 5, 753–756.

    Article  Google Scholar 

  • Haselton, H. T., Jr., and E. F. Westrum, Jr., 1980, Low-temperature heat capacities of synthetic pyrope, grossular, and pyrope60grossular40, Geochim. Cosmochim. Acta 44, 701–709.

    Article  Google Scholar 

  • Hays, J. F., 1967, Lime-alumina-silica, Carnegie Inst. Wash. Yearbook 65, 234–239.

    Google Scholar 

  • 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, 1–299.

    Google Scholar 

  • Hemingway, B. S., and R. A. Robie, 1977, Enthalpies of formation of low albite (NaAlSi3O8), gibbsite (A1(OH)3), and NaAlO2; revised values for ΔH ° f,298 and ΔH ° f,298 of alumino-silicates, U.S. Geol. Surv. J. Res. 5, 413–429.

    Google Scholar 

  • Hlabse, T., and O. J. Kleppa, 1968, The thermochemistry of jadeite, Am. Mineral 53, 1281–1292.

    Google Scholar 

  • Holland, T. J. B., 1979, Experimental determination of the reaction paragonite = jadeite + kyanite + water, and internally consistent thermodynamic data for part of the system Na2O-Al2O3-SiO2-H2O, with applications to eclogites and blueschists, Contrib. Mineral Petrol 68, 293–301.

    Article  Google Scholar 

  • Holloway, J. R., 1977, Fugacity and activity of molecular species in supercritical fluids, in Thermodynamics in Geology, edited by D. G. Fraser, D. Reidel, Dordrecht, Holland, 161–181.

    Google Scholar 

  • Huckenholz, H. G., E. Hölzl, and W. Lindhuber, 1975, Grossularite, its solidus and liquidus relations in the CaO-Al2O3-SiO2-H2O system up to 10 kb. Neues Jb. Min. Abh. 124, 1–46.

    Google Scholar 

  • Jacobs, G. K., and D. M. Kerrick, 1979, Experimental and thermodynamic analysis of decarbonation equilibria and the high-temperature heat capacity of calcite, EOS Trans. Am. Geophys. Union 60, 406.

    Google Scholar 

  • Kleppa, O. J., and R. C. Newton, 1975, The role of solution calorimetry in the study of mineral equilibria, Fortsch. Mineral 52, 3–20.

    Google Scholar 

  • Krupka, K. M., D. M. Kerriek, and R. A. Robie, 1979a, Heat capacities of synthetic orthoenstatite and natural anthophyllite from 5 to 1000 K, EOS Trans. Am. Geophys. Union 60, 405.

    Google Scholar 

  • Krupka, K. M., R. A. Robie, and B. S. Hemingway, 1979b, High temperature heat capacities of corundum, periclase, anorthite, CaAl2Si2O8 glass, muscovite, pyrophyllite, KAlSi3O8 glass, grossular, and NaAlSi3O8 glass, Am. Mineral 64, 86–101.

    Google Scholar 

  • Kubaschewski, O. and H. Ãœnal, 1977, An empirical estimation of the heat capacities of inorganic compounds, High Temp. High Pressures 9, 361–365.

    Google Scholar 

  • Newton, R. C., 1966, Some calc-silicate equilibrium relations. Am. J. Sci. 264, 204–222.

    Article  Google Scholar 

  • Newton, R. C., T. V. Charlu, and O. J. Kleppa, 1974, A calorimetric investigation of the stability of anhydrous magnesian cordierite with application to granulite faciès metamorphism, Contrib. Mineral Petrol 44, 295–311.

    Article  Google Scholar 

  • Pankratz, L. B., and K. K. Kelley, 1964, High-temperature heat contents and entropies of andalusite, kyanite and sillimanite, U.S. Bur. Mines Rep. 6370.

    Google Scholar 

  • Perkins, D., III, E. F. Westrum, Jr., 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.

    Article  Google Scholar 

  • Powell, R., 1978, Equilibrium Thermodynamics in Petrology, Harper and Row, New York.

    Google Scholar 

  • 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 

  • 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 

  • Shmulovich, K. I., and V. M. Shmonov, 1975, Fugacity coefficients of CO2 from 1.0132 to 10000 bars and from 450° to 1300°K, Geochimiya 4, 551–555.

    Google Scholar 

  • Thompson, A. B., 1976, Calcite-andalusite-anorthite-quartz equilibria in H2O-CO2 mixtures, Prog. Exp. Pet. N.E.R.C. 3rd Rep. 6, 12–13.

    Google Scholar 

  • Touret, J., and Y. Bottinga, 1979, Equation d’état pour le CO2; application aux inclusions carboniques, Bull. Minéral. 102, 577–583.

    Google Scholar 

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Holland, T.J.B. (1981). Thermodynamic Analysis of Simple Mineral Systems. 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_2

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  • DOI: https://doi.org/10.1007/978-1-4612-5871-1_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-5873-5

  • Online ISBN: 978-1-4612-5871-1

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