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Some constraints on the thermodynamic mixing properties of Fe-Mg orthopyroxenes and olivines

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Abstract

Existing data on the temperature and composition dependence of the Fe2+-Mg2+ distribution between Fe-Mg olivine and orthopyroxene, the intra-crystalline distribution of Fe2+ and Mg2+ between M1 and M2 sites in orthopyroxene, and macroscopic activity-composition relations in olivine and orthopyroxene are shown to be inconsistent with generally accepted thermodynamic formulations which assume that the non-configurational Gibbs energy of orthopyroxene is independent of the degree of long-range ordering of Fe2+ and Mg+ between M1 and M2 sites. These data are interpreted in terms of the constraints they provide on the size of Bragg-Williams type energy, entropy, and volume terms for olivine and orthopyroxene. The apparent equilibrium constant for Fe-Mg exchange between olivine and orthopyroxene is shown to be a potentially useful ‘geothermometer’ for olivine-orthopyroxene assemblages with olivines with mole fraction of Fe2SiO4 component less than 0.2 or greater than 0.6. A provisional calibration of this ‘geothermometer’ is presented.

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References

  • Blander, M., Yosim, S.J.: Conformai Ionic Mixtures. J. Chem. Phys. 39, 2610–2616 (1963)

    Article  Google Scholar 

  • Blander, M.: The partioning of cations between coexisting one sitetwo site phases. Geochim. Cosmochim. Acta 34, 515–518 (1970)

    Article  Google Scholar 

  • Blander, M.: Thermodynamic properties of orthopyroxenes and clinopyroxenes based on the ideal two-site model. Geochim. Cosmochim. Acta 36, 787–799 (1972)

    Article  Google Scholar 

  • Bonnischen, B.: Metamorphic pyroxenes and amphiboles in the Biwabik iron formation, Dunka River area, Minnesota. Min. Soc. Am. Spec. Pap. 2, 217–239 (1969)

    Google Scholar 

  • Bragg, W.L., Williams, E.J.: The effect of thermal agitation on atomic arrangement in alloys. Proc. R. Soc. London Ser. A: 145, 699–730 (1934)

    Google Scholar 

  • Bragg, W.L., Williams, E.J.: The effect of thermal agitation on atomic arrangement in alloys: II. Proc. R. Soc. London Ser. A: 151, 540–566 (1935)

    Google Scholar 

  • Brown, G.E., Prewitt, C.T.: High-temperature crystal chemistry of hortonolite. Am. Mineral. 58, 577–587 (1973)

    Google Scholar 

  • Bush, W.R., Hafner, S.S., Virgo, D.: Some ordering of iron and magnesium at the octahedrally coordinated site in a magnesiumrich olivine. Nature 227, 1339–1341 (1970)

    Google Scholar 

  • Craig, H.: Excess volumes and refractive indices in simple silicate mixtures with additive refractivity (abstr.). Trans. Am. Geophys. Union 48, 234 (1967)

    Google Scholar 

  • Engi, M.: Mg-Fe Exchange Equilibria among Al-Cr Spinel, Olivine, Orthopyroxene, and Cordierite. 95pp. Ph. D. Thesis. Zurich: Swiss Federal Institute of Technology 1978

    Google Scholar 

  • Evans, B.W., Frost, B.R.: Chrome-spinel in progressive metamorphism a preliminary analysis. Geochim. Cosmochim. Acta 39, 959–972 (1975)

    Article  Google Scholar 

  • Finger, L.W.: Fe/Mg ordering in olivines. Carnegie Inst. Washington Yearb. 67, 216–217 (1970)

    Google Scholar 

  • Finger, L.W., Virgo, D.: Confirmation of Fe/Mg ordering in olivines. Carnegie Inst. Washington Yearb. 70, 221–225 (1971)

    Google Scholar 

  • Fisher, G.W., Medaris, L.G. Jr.: Cell dimensions and X-ray determinative curve for synthetic Mg-Fe olivines. Am. Mineral. 54, 741–753 (1971)

    Google Scholar 

  • Frantz, J.D., Popp, R.K.: Mineral-solution equilibria I. An experimental study of complexing and thermodynamic properties of aqueous MgCl2 in the system MgO-SiO2-H2O-HCl. Geochim. Cosmochim. Acta 43, 1223–1239 (1979)

    Article  Google Scholar 

  • Grover, J.E., Orville, P.M.: The partitioning of cations between coexisting single- and multi-site phases application to the assemblages: orthopyroxene-clinopyroxene and orthopyroxeneolivine. Geochim. Cosmochim. Acta 33, 205–226 (1969)

    Article  Google Scholar 

  • Grover, J.E.: 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)

    Google Scholar 

  • Guggenheim, E.A.: Thermodynamics. 390pp. Amsterdam: NorthHolland Publ. Co. 1967

    Google Scholar 

  • Hill, T.L.: Statistical Thermodynamics. 508 pp. Reading London: Addison-Wesley 1960

    Google Scholar 

  • Irvine, T.N.: Chromian spinel as a petrogenetic indicator: Part 1, Theory. Can. J. Earth Sci. 2, 648–672 (1965)

    Google Scholar 

  • Jackson, E.D.: Chemical variation in coexisting chromite and olivine in chromite zones of the Stillwater Complex. Econ. Geol. 4, 41–71 (1969)

    Google Scholar 

  • Jaffe, H.W., Robinson, P., Tracy, R.J.: Orthoferrosilite and other iron-rich pyroxenes in microperthite gneiss of the Mt. March area, Adirondack Mountains. Am. Mineral. 63, 1116–1136 (1978)

    Google Scholar 

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

    Article  Google Scholar 

  • Kitayama, K., Katsura, T.: Activity measurements in orthosilicate and metasilicate solid solutions: I. Mg2SiO4-Fe2SiO4 and MgSiO3-FeSiO3 at 1204 ° C. Bull. Chem. Soc. Jpn. 41, 1146–1151 (1968)

    Google Scholar 

  • Larimer, J.W.: Experimental studies on the system Fe-MgO-SiO2-O2, and their bearing on the petrology of chondritic meteorites. Geochim. Cosmochim. Acta 32, 1187–1207 (1968)

    Google Scholar 

  • Lawson, A.W.: On simple binary solid solutions. J. Chem. Phys. 15, 831–842 (1947)

    Article  Google Scholar 

  • Margules, M.: Über die Zusammensetzung der gesättigten Dämpfe von Mischungen. Akad. Wiss. Wein, Mathemat Naturw. Kl., IIa, 104, 1243–1257 (1894)

    Google Scholar 

  • Matsui, Y., Nishizawa, O.: Iron (II)-magnesium exchange equilibrium between olivine and calcium-free pyroxene over a temperature range 800 ° C to 1300 ° C. Bull. Soc. Fr. Mineral. Cristallogr. 97, 122–130 (1974)

    Google Scholar 

  • Medaris, L.G. Jr.: Partitioning of Fe2+ and Mg2+ between coexisting synthetic olivine and orthopyroxene. Am. J. Sci. 267, 945–968 (1969)

    Google Scholar 

  • Nafziger, R.H., Muan, A.: Equilibrium phase compositions and thermodynamics properties of olivines and pyroxenes in the system MgO-‘FeO’-SiO2. Am. Mineral. 52, 1364–1385 (1967)

    Google Scholar 

  • Navrotsky, A.: The intracrystalline cation distribution and the thermodynamics of solid solution formation in the system FeSiO3-MgSiO3. Am. Mineral. 56, 201–211 (1971)

    Google Scholar 

  • Navrotsky, A., Coons, W.E.: Thermochemistry of some pyroxenes and related compounds. Geochim. Cosmochim. Acta 40, 1281–1288 (1976)

    Article  Google Scholar 

  • Navrotsky, A.: Thermodynamics of element partitioning: (1) Systematics of transition metals in crystalline and molten silicates and (2) defect chemistry and ‘Henry's Law problem.’ Geochim. Cosmochim. Acta 42, 887–902 (1978)

    Article  Google Scholar 

  • Novak, G.A., Gibbs, G.V.: The crystal chemistry of the silicate garnets. Am. Mineral. 56, 791–825 (1971)

    Google Scholar 

  • Obata, M., Banno, S., Mori, T.: The iron-magnesium partitioning between naturally occurring coexisting olivine and Ca-rich clinopyroxene: an application of the simple mixture model to olivine solid solution. Bull. Soc. Fr. Minéral. Cristallogr. 97, 101–107 (1974)

    Google Scholar 

  • Ramberg, H., DeVore, G.: The distribution of Fe2+ and Mg2+ in coexisting olivines and pyroxenes. J. Geol. 59, 193–216 (1951)

    Google Scholar 

  • Ricci, J.E.: Phase Diagrams of Fused Salts. In: Molten Salt Chemistry (M. Blander, ed.), pp. 239–365. New York: Interscience 1964

    Google Scholar 

  • Robie, R.A., Bethke, P.M., Beardsley, K.M.: Selected X-ray crystallographic data, molar volumes, and densities of minerals and related substances. U.S. Geol. Surv. Bull. 1248, 97pp. (1967)

  • Sack, R.O.: Studies of Mafic Granulites. Ph. D. Thesis, Harvard University, 420pp. (1979)

  • Sahama, Th.G., Torgeson, D.R.: Some examples of the application of thermochemistry to petrology. J. Geol. 57, 255–262 (1949)

    Google Scholar 

  • Saxena, S.K., Chose, S.: Mg2+-Fe2+ order-disorder and the thermodynamics of the orthopyroxene-crystalline solution. Am. Mineral. 56, 532–559 (1971)

    Google Scholar 

  • Saxena, S.K.: Thermodynamics of Rock-Forming Crystalline Solutions. 188pp. Berlin, Heidelberg, New York: Springer 1973

    Google Scholar 

  • Schuhen, S., Friedrichsen, H., Hellner, E.: Das Mischkristallverhalten des Olivins zwischen 450 ° C und 650 ° C bei l kb Druck. Neues Jahrb. Mineral. Monatsh. 4, 141–147 (1970)

    Google Scholar 

  • Smith, D.: Stability of the assemblage iron-rich orthopyroxeneolivine-quartz. Am. J. Sci. 271, 370–382 (1971)

    Google Scholar 

  • Smyth, J.R.: An orthopyroxene structure up to 850 ° C. Am. Mineral. 58, 636–648 (1973)

    Google Scholar 

  • Smyth, J.R., Hazen, R.M.: The crystal structures of forsterite and hortonolite at several temperatures up to 900 ° C. Am. Mineral. 58, 588–593 (1973)

    Google Scholar 

  • Thompson, J.B. Jr.: Thermodynamics properties of simple solutions. In: Researches in Geochemistry (P.H. Abelson, ed.), Vol. 2, pp. 340–361. New York: J. Wiley 1967

    Google Scholar 

  • Thompson, J.B. Jr.: Chemical reactions in crystals. Am. Mineral. 54, 341–375 (1969)

    Google Scholar 

  • Thompson, J.B. Jr.: Chemical reactions in crystals: Corrections and clarification. Am. Mineral. 55, 528–532 (1970)

    Google Scholar 

  • Trommsdorff, V., Evans, B.W.: Progressive metamorphism of antigorite schist in the Bergell tonalite aureole (Italy). Am. J. Sci. 272, 423–437 (1972)

    Google Scholar 

  • Virgo, D., Hafner, S.S.: Fe2+, Mg order-disorder in heated orthopyroxenes. Min. Soc. Am. Spec. Pap. 2, 67–81 (1969)

    Google Scholar 

  • Virgo, D., Hafner, S.S.: Temperature-dependent Mg, Fe distribution in a lunar olivine. Earth Planet. Sci. Lett. 14, 305–312 (1972)

    Article  Google Scholar 

  • Wenk, H.R., Raymond, K.N.: Crystal structure refinements of four magnesium-rich olivines (abstr.). Geol. Soc. Am. Abstr. Progr. 3, 748–749 (1971)

    Google Scholar 

  • Williams, R.J.: Reaction constants in the system Fe-MgO-SiO2-O2 at 1 atm between 900 ° and 1300 ° C: experimental results. Am. J. Sci. 270, 334–360 (1971)

    Google Scholar 

  • Wood, B.J., Strens, R.G.J.: The orthopyroxene geobarometer. Earth Planet. Sci. Lett. 11, 1–6 (1971)

    Article  Google Scholar 

  • Wood, B.J., Nicholis, J.: The thermodynamic properties of reciprocal solid solutions. Contrib. Mineral. Petrol. 66, 389–400 (1978)

    Article  Google Scholar 

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Sack, R.O. Some constraints on the thermodynamic mixing properties of Fe-Mg orthopyroxenes and olivines. Contr. Mineral. and Petrol. 71, 257–269 (1980). https://doi.org/10.1007/BF00371667

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