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The Solubility of Alumina in Orthopyroxene Coexisting with Garnet in FeO-MgO--Al2O3--SiO2 and CaO--FeO--MgO--Al2O3--SiO2
Authors:HARLEY  SIMON L
Institution:Department of Geology, University of Tasmania G.P.O. box 252c, Hobart, Tasmania, Australia
Abstract:The pressure-temperature-compositional (P-T-X) dependence ofthe solubility of Al2O3 in orthopyroxene coexisting with garnethas been experimentally determined in the P-T range 5–30kilobars and 800–1200 ?C in the system FeO—MgO—Al2O3—SiO2(FMAS). These results have been extended into the CaO—FeO—MgO—Al2O3—SiO2(CFMAS) system in a further set of experiments designed to determinethe effect of the calcium content of garnet on the Al2O3 contentsof coexisting orthopyroxene at near-constant Mg/(Mg + Fe). Startingmaterials were mainly glasses of differing Mg/(Mg + Fe) or Ca/(Ca+ Mg + Fe) values, seeded with garnet and orthopyroxene of knowncomposition, but mineral mixes were also used to demonstratereversible equilibrium. Experiments were performed in a piston-cylinderapparatus using a talc/pyrex medium. Measured orthopyroxene and corrected garnet compositions werefitted by multiple and stepwise regression techniques to anequilibrium relation in the FMAS system, yielding best-fit,model-dependent parameters {delta}Goy= –5436 + 2.45T cal mol–1,and WM1FeA1= –920 cal mol–1. The volume change ofreaction, {delta}Vo, the entropy change, {delta}So970 and the enthalpy change{delta}Ho1,970, were calculated from the MAS system data of Perkinset al. (1981) and available heat capacity data for the phases.Data from CFMAS experiments were fitted to an expanded equilibriumrelation to give an estimate of the term WgaCaMg = 1900 ? 400cal/mole cation, using the other parametric values already obtainedin FMAS. The experimental data allow the development of a garnet-orthopyroxenegeobarometer applicable in FMAS and CFMAS: Formula where Formula This geobarometer is applicable to both pelitic and metabasicgranulites containing garnet orthopyroxene, and to garnet peridoditeand garnet pyroxenite assemblages found as xenoliths in diatremesor in peridotite massifs. It is limited, however, by the necessityof an independent temperature estimate, by errors associatedwith analysis of low Al2O3 contents in orthopyroxenes in high-pressureor low-temperature parageneses, and by uncertainties in thecomposition of garnet in equilibrium with orthopyroxene. Ananalysis of errors associated with this formulation of the geobarometersuggests that it is subject to great uncertainty at low pressuresand for Fe-rich compositions. The results of application ofthis geobarometer to natural assemblages are presented in acompanion paper.
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