Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-07T05:20:58.916Z Has data issue: false hasContentIssue false
  • English
  • Français

Thermodynamics of mixing and ordering in the diopside–jadeite system: II. A polynomial fit to the CVM results

Published online by Cambridge University Press:  05 July 2018

V. L. Vinograd
V. L. Vinograd*
Affiliation:
Institut für Mineralogie, J. W. Goethe Universität, Senckenberganlage 30, 60054 Frankfurt, Germany Institut für Mineralogie, Universität Münster, Corrensstrasse 24, D-48149 Münster, Germany
Get access Rights & Permissions [Opens in a new window]

Abstract

In Part I (Vinograd, 2002) the relationship between temperature, composition and free energy of the diopside–jadeite solid solution was described using a CVM model. Here the same relationship is described using a combination of Redlich-Kister (RK) polynomials and Gaussian functions. The use of the Gaussians permits an accurate description of the free energy dip centred at Jd50, which is caused by the long-range ordering, while the effect of the short-range ordering can be easily modelled using the RK polynomial The simplified RK-Gaussian description is extended to the three-component diopside–jadeite–hedenbergite solid solution. The polynomial description permits an easy incorporation of the derived activity-composition relations into phase-equilibrium computation software.

Keywords

thermodynamicscluster variation methodRedlich-Kister polynomial expansiondiopside–jadeite–hedenbergite system
Type
Research Article
Information
Mineralogical Magazine , Volume 66 , Issue 4 , August 2002 , pp. 537 - 545
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Aranovich, L.Ya. and Perchuk, A.L. (1989) Experimental study of clinopyroxene + quartz + albite equilibrium in the system Na2O-CaO-FeOAl2O3-SiO2 at 900–1100°C and 14–25 kbar. Doklady Academii Nauk SSR, 307(1–6), 155–236.Google Scholar
Berman, R.G. and Brown, T.H. (1984) A thermodynamic model for multicomponent melts, with application to the system CaO-Al2O3–SiO2 . Geochimica et Cosmochimica Acta, 48, 661–678.CrossRefGoogle Scholar
Carpenter, M.A. (1980) Mechanisms of exsolution in sodic pyroxenes. Contributions to Mineralogy and Petrology, 71, 289–300.CrossRefGoogle Scholar
Ganguly, J. (2001) Thermodynamic modelling of solid solutions. Pp. 37–69 in: Solid Solutions in Silicate and Oxide Systems of Geological Importance (Geiger, Ch., editor). EMU Notes in Mineralogy, 3. Eötvös University Press, Budapest.Google Scholar
Ganguly, J. and Saxena, S.K. (1987) Mixtures and Mineral Reactions. Springer-Verlag. Berlin, Heidelberg.CrossRefGoogle Scholar
Gasparik, T. (1985) Experimentally determined compositions of diopside –jadeite pyroxene in equilibrium with albite and quartz at 1200–1350°C and 15–34 kbar. Geochimica et Cosmochimica Acta, 49, 865–870.CrossRefGoogle Scholar
Gerya, T.V., Maresch, W.V., Willner, A.P., Van Reenen, D.D. and Smit, A.C. (2001) Inherent gravitational instability of thickened continental crust with regionally developed low- to medium-pressure granulite facies metamorphism. Earth and Planetary Science Letters, 190, 221–235.CrossRefGoogle Scholar
Holland, T.J.B. and Powell, R. (1998) An internally consistent thermodynamic data set for phases of petrological interest. Journal of Metamorphic Geology, 16, 309–343.CrossRefGoogle Scholar
Meyre, C., de Capitani, C. and Partzsch, J.H. (1997) A ternary solid solution model for omphacite and its application to geothermobarometry of eclogites from the Middle Adula nappe (Central Alps, Switzerland). Journal of Metamorphic Geology, 15, 687–700.CrossRefGoogle Scholar
Muggianu, Y.M., Gambino, M. and Bros, J.P. (1975) Enthalpies of formation of liquid alloy bismuth-gallium-tin at 723 K. Choice of an analytical representation of integral and partial excess functions of mixing. Journal of Chemical Physics, 72, 82–88.Google Scholar
Navrotsky, A. (1994) Physics and Chemistry of Earth Materials. Cambridge University Press, Cambridge, UK.CrossRefGoogle Scholar
Toop, G.W. (1965) Predicting ternary activities using binary data. Transactions of the American Institute of Mining Engineers, 233, 850–855.Google Scholar
Vinograd, V.L. (2002) Thermodynamics of mixing and ordering in the diopside –jadeite system: I. A CVM model. Mineralogical Magazine, 66, 513–536.CrossRefGoogle Scholar
Wohl, K. (1946) Thermodynamic evaluation of binary and ternary liquid systems. Transactions of the American Institute of Chemical Engineers, 42, 215–249.Google Scholar