In a thermodynamic description of a mineral solid solution, it is customary to select a minimal group of end-members that constitutes an independent set, and yet in practical calculations it commonly occurs that a different independent set or subset is required. Given the simplification of the symmetric formalism, it is straightforward to derive the enthalpies of formation of dependent end-members as well as the interaction energies between the end-members in the new independent set, in terms of those in the original set. For example, a simplified ternary solid solution of Fe-free Ca-amphiboles might be described with independent end-members tremolite, tschermakite, and pargasite, and yet some calculations may require the use of end-members such as edenite or hornblende. Not only are their end-member properties dependent on those of the first three, but the mixing properties of any of the binary joins involving edenite or hornblende are dependent on those in the original independent set. Examples drawn from pyroxenes, amphiboles, and biotite micas show that such dependencies may prove invaluable in using experimental information or heuristics to help constrain the mixing properties of complex solid solutions. In particular, it is found that in non-ideal solid solutions that involve Fe and Mg distributed over two or more non-equivalent sites, equipartition of Fe and Mg implies extreme restrictions on the ratios of the interaction parameters and the magnitude of the Fe-Mg exchange energy. The thermodynamics can only be formulated generally and consistently when Fe- Mg ordering is explicitly included, and this is done most simply via ordered Fe-Mg endmembers.
Contents
-
Publicly AvailableRelating formulations of the thermodynamics of mineral solid solutions: Activity modeling of pyroxenes, amphiboles, and micasNovember 13, 2015
-
Publicly AvailableBiotite dehydration, partial melting, and fluid composition: Experiments in the system KAlO2-FeO-MgO-SiO2-H2O-CO2November 13, 2015
-
Publicly AvailableThe effects of silica and water on the viscosity of hydrous quartzofeldspathic meltsNovember 13, 2015
-
Publicly AvailableStability of high-Al titanite from low-pressure calcsilicates in light of fluid and host-rock compositionNovember 13, 2015
-
Publicly AvailableNew controlled rapid quench technique in a 1 atm infrared image furnaceNovember 13, 2015
-
Publicly AvailableChemistry and genetic implications of tourmaline and Li-F-Cs micas from the Valdeflores area (Cáceres, Spain)November 13, 2015
-
November 13, 2015
-
Publicly AvailablePrecise Mössbauer milliprobe determination of ferric iron in rock-forming minerals and limitations of electron microprobe analysisNovember 13, 2015
-
November 13, 2015
-
Publicly AvailableSi, Al ordering in the double-ring silicate armenite, BaCa2Al6Si9O30·2H2O: A single-crystal X-ray and 29Si MAS NMR studyNovember 13, 2015
-
Publicly AvailableDehydration dynamics of analcime by in situ synchrotron powder diffractionNovember 13, 2015
-
Publicly AvailableHigh-temperature in situ structural investigation on lead feldsparNovember 13, 2015
-
Publicly AvailableComparative high-pressure crystal chemistry of karrooite, MgTi2O5, with different ordering statesNovember 13, 2015
-
Publicly AvailableComputer simulation of pressure-induced structural transitions in MgO [001] tilt grain boundariesNovember 13, 2015
-
November 13, 2015
-
Publicly AvailableTEM investigation of Lewiston, Idaho, fibrolite: Microstructure and grain boundary energeticsNovember 13, 2015
-
Publicly AvailableBiologically induced iron ore at Gunma iron mine, JapanNovember 13, 2015
-
Publicly AvailableIn situ conditions and interactions between microbes and minerals in fine-grained marine sediments: A TEM microfabric perspectiveNovember 13, 2015
-
Publicly AvailableLETTERS. Structure refinement of a birefringent Cr-bearing majorite Mg3(Mg0.34Si0.34Al0.18Cr0.14)2Si3O12November 13, 2015
-
Publicly AvailableIn situ structure determination of the high-pressure phase of Fe3O4November 13, 2015
-
Publicly AvailableA moganite-type phase in the silica analog phosphorus oxynitrideNovember 13, 2015