Abstract
Approximate mixing properties of the dominant calcium silicate end-member components of natural garnets, namely grossularite, andradite and uvarovite, have been derived through theoretical thermodynamic and crystal chemical analysis, and appropriate reduction of the available experimental data. The stability of the solid solution with respect to phase separation in the ternary system has been analyzed. Finally, a general model is presented as to the approximate mixing properties of multicomponent natural garnet solid solution involving substitutions in both eight and six coordinated sites.
Similar content being viewed by others
References
Borghese, C.: Cation distribution in multisublattice ionic crystals, and applications to solid solutions of ferromagnetic garnets and spinels. J. Phys. Chem. Solids 28, 2225–2237 (1967)
Burns, R.J.: Mineralogical applications of crystals field theory. Oxford 1970
Coleman, R.G., Lee, D.E., Beatty, L.B., Brannock, W.W.: Eclogites and eclogites: their differences and similarities. Geol. Soc. Am. Bull. 76, 483–508 (1965)
Czerlansky, E. R., MacMillan, R.A.: Cation distribution in aluminum-substituted yttrium iron garnets by Mössbauer effect spectroscopy. U.S. Air Force Off. Aerospace Res. Doc. AFCRL-70-0215
Deer, W.A., Howie, R.A., Zussman, J.: Rock forming minerals, 1, Ortho- and Ring-silicates. London: Longmans 1962
Euler, F., Bruce, J.A.: The oxygen coordinates of compounds with garnet structures. Acta Cryst. 19, 971–978 (1965)
Ganguly, J., Kennedy, G.C.: The energetics of natural garnet solid solution 1. Mixing of the aluminosilicate end-members. Contrib. Mineral. Petrol. 48, 137–148 (1974)
Geller, S., Miller, C.E.: The synthesis of uvarovite. Am. Mineralogist 44, 445–446 (1959)
Grover, J.A.: On calculating activity coefficients and other excess functions from the intracrystalline exchange properties of a double-site phase. Geochim. Cosmochim. Acta 38, 1527–1548 (1974)
Guggenheim, E.A.: Thermodynamics. Amsterdam: North Holland 1967
Manning, P.G.: Optical absorption studies of grossular, andradite (var-colophonite) and uvarovite. Can. Mineralogist 9, 723–729 (1969)
Meijering, J.L.: Segregation in regular ternary solutions, part 1, Philips Res. Rep. 5, 333–356 (1950)
Meijering, J.L.: Segregation in regular ternary solutions, part II, Philips Res. Rep. 6, 183–210 (1951)
Mueller, R.F.: Energetics of certain silicate solid solutions. Geochim. Cosmochim. Acta 26, 581–598 (1962)
Mueller, R.F.: Stability of biotite: A discussion. Am. Mineralogist 57, 300–316 (1972)
Neuhaus, A.: Über die Ionenfarben der Kristalle und Minerale am Beispiel der Chromfärbungen. Z. Krist. 113, 192–233 (1960)
Newton, R.C., Smith, J.V.: Investigations concerning the breakdown of albite at depths in the Earth. J. Geol. 75, 268–286 (1967)
Novak, G.A., Gibbs, G.V.: The crystal chemistry of silicate garnets. Am. Mineralogist 56, 791–825 (1971)
Pauling, L.: The nature of the chemical bond. Cornell 1960.
Popp, R.K., Gilbert, M.C.: Stability of acmite-jadeite pyroxenes at low pressures. Am. Mineralogist 37, 1210–1231 (1972)
Prigogine, I., Defay, R.: Chemical thermodynamics. London: Longmans 1954
Saxena, S.K.: Thermodynamics of rock forming crystalline solutions. Berlin-Heidelberg-New York: Springer 1973
Shannon, R.D., Prewitt, C.T.: The effective ionic radii in oxides and fluorides. Acta Cryst. B 25, 925–946 (1969)
Skinner, B.J.: Physical properties of end-members of the garnet group. Am. Mineralogist 41, 428–436 (1956)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ganguly, J. The energetics of natural garnet solid solution. Contr. Mineral. and Petrol. 55, 81–90 (1976). https://doi.org/10.1007/BF00372756
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00372756