Importance of considerations of mixing properties in establishing an internally consistent thermodynamic database: thermochemistry of minerals in the system Mg2SiO4-Fe2SiO4-SiO2

A thermodynamic solution model is developed for minerals whose compositions lie in the two binary systems Mg₂SiO₄-Fe₂SiO₄ and Mg₂Si₂O₆-Fe₂Si₂O₆. The formulation makes explicit provision for nonconvergent ordering of Fe²⁺ and Mg²⁺ between M1 and M2 sites in orthopyroxenes and non-zero Gibbs energies of reciprocal ordering reactions in both olivine and orthopyroxene. The calibration is consistent with (1) constraints provided by available experimental and natural data on the Fe-Mg exchange reaction between olivine and orthopyroxene ± quartz, (2) site occupancy data on orthopyroxenes including both crystallographic refinements and Mössbauer spectroscopy, (3) enthalpy of solution data on olivines and orthopyroxenes and enthalpy of disordering data on orthopyroxene, (4) available data on the temperature and ordering dependence of the excess volume of orthopyroxene solid solutions, and (5) direct activity-composition determinations of orthopyroxene and olivine solid solutions at elevated temperatures. Our analysis suggests that the entropies of the exchange [Mg(M2)Fe(M1)Fe(M2)Mg(M1)] and reciprocal ordering reactions [Mg(M2)Mg(M1)+ Fe(M2)Fe(M1)Fe(M2)Mg(M1)+Mg(M2)Fe(M1)] cannot differ significantly (± 1 cal/K) from zero over the temperature range of calibration (400°–1300° C). Consideration of the mixing properties of olivine-orthopyroxene solid solutions places tight constraints on the standard state thermodynamic quantities describing Fe-Mg exchange reactions involving olivine, orthopyroxene, pyralspite garnets, aluminate spinels, ferrite spinels and biotite. These constraints are entirely consistent with the standard state properties for the phases-quartz,-quartz, orthoenstatite, clinoenstatite, protoenstatite, fayalite, ferrosilite and forsterite which were deduced by Berman (1988) from an independent analysis of phase equilibria and calorimetric data. In conjunction with these standard state properties, the solution model presented in this paper provides a means of evaluating an internally consistent set of Gibbs energies of mineral solid solutions in the system Mg₂SiO₄-Fe₂SiO₄-SiO₂ over the temperature range 0–1300° C and pressure interval 0.001–50 kbars. As a consequence of our analysis, we find that the excess Gibbs energies associated with mixing of Fe and Mg in (Fe, Mg)₂SiO₄ olivines, (Fe, Mg)₃Al₂Si₃O₁₂ garnets, (Fe, Mg)Al₂O₄ and (Fe, Mg)Fe₂O₄ spinels, and K(Mg, Fe)₃AlSi₃O₁₀(OH)₂ biotites may be satisfactory described, on a macroscopic basis, with symmetric regular solution type parameters having values of 4.86±0.12 (olivine), 3.85±0.09 (garnet), 1.96±0.13 (spinel), and 3.21±0.29 kcals/gfw (biotite). Applications of the proposed solution model demonstrate the sensitivity of petrologic modeling to activity-composition relations of olivine-orthopyroxene solutions. We explore the consequences of estimating the activity of silica in melts forming in the mantle and we develop a graphical geothermometer/geobarometer for metamorphic assemblages of olivine+orthopyroxene+quartz. Quantitative evaluation of these results suggests that accurate and realistic estimates of silica activity in melts derived from mantle source regions,P-T paths of metamorphism and other intensive variables of petrologic interest await further refinements involving the addition of trace elements (Al³⁺ and Fe³⁺) to the thermodynamic formulation for orthopyroxenes.     

Mg-Fe partitioning between biotite and a supercritical chloride solution

An experimental study of the partitioning of Mg and Fe between synthetic biotite and an aqueous chloride solution in the supercritical region as a function of temperature, pressure and concentration of Mg and Fe is reported. In the temperature range 500°–700° C and the pressure range 25–200 MPa, the Mg-Fe distribution between biotite and the chloride solution can be described by distribution curves based on the ideal solution model within a data scattering of 8%. Mg is preferentially partitioned into biotite, and Fe prefers the solution. This tendency is enhanced with increasing temperature. The distribution constants for the Mg-Fe exchange reactions in the system K(Mg,Fe)₃AlSi₃O₁₀(OH)₂-(Mg,Fe)Cl₂-KCl-H₂O have been determined. The present data favor a model in which the activity of Fe and Mg in biotite is close to the mole fraction at temperatures above 500° C. Comparison of the Mg-Fe partitioning between biotite-chloride solution and olivine-chloride solution reveals a slight enrichment of Fe in olivine relative to biotite.     

Succession de subfacies métamorphiques en Vanoise méridionale (Savoie)

The Southern Vanoise is localized in the internal part of the Western Alps, in the Briançonnais zone. In Vanoise the following units can be distinguished (Fig. 1): a pre-hercynian basement (micaschists, glaucophanites, basic rocks), a permian cover (micaschists) and a mesozoic-paleocene cover (carbonate rocks). This area has been affected by the alpine metamorphic event characterized here by high and intermediate pressure facies. The rocks paragenesis are often unbalanced.The paleozoic rocks (Table 1) contain mainly: quartz, albite, paragonite, phengite, blue amphibole, chlorite, green biotite, garnet (Table 2). These minerals were analysed by an electron microprobe (Tables 3, 4 and 5). Mineral composition is highly variable: glaucophane is zoned (Table 5), white micas are more or less substituted with phengite (3.22O₃/FeO + MgO)<0.53] whereas the Al rich chlorites [(Al₂O₃/FeO + MgO)>0.6] are associated with the less substituted white micas (Si=3.2) (Tables 3 and 4). The phengites with a Si content 3.2 occur in rocks where the retromorphic evolution is the most pronounced and penetrative. A metamorphic evolution is characterized by the disappearance of glaucophane which corresponds to the appearance of Al rich chlorite and to the decrease of phengitic substitution.The samples analysis are plotted in the tetraedric diagram: K₂O-Al₂O₃-Na₂O, Al₂O₃-FeO, MgO, on which a special mathematical treatment was applied. This method calculates the location of rocks composition in the four minerals space. This location is internal when the per cent amounts of all four relevant minerals are positive, if any of them is negative, the point is external (Tables 6–9).In Southern Vanoise micaschists, 2 subfacies are successively present (Fig. 3):Subfacies I: glaucophane-chlorite-phengite (Si⁴⁺ 3.5)-paragonite. Then subfacies II: chlorite-albite-phengite (Si⁴⁺ 3.2)-paragonite.In basic rocks is found essentially: Subfacies III: glaucophane-garnet-phengite-paragonite or IV: glaucophane-garnet-phengite-albite. Then subfacies V: green biotite-chlorite-albite-paragonite.The assemblages I and II proceed through reaction: 2 glaucophane +1 paragonite+2 H₂O4.2 albite + 1 chlorite.The assemblage V appears with reactions: 1.8 glaucophane +2 phengite0.4 chlorite+2 green biotite + 3.6 albite +0.4 H₂O or 2 glaucophane +2 phengite +0.5 garnet+ 6 H₂O2 green biotite +1 chlorite+4 albiteThese reactions are controlled by hydratation: the composition variation of phengite and associated chlorite during the metamorphic evolution determines the stability of some minerals (particularly the glaucophane in Na₂O poor rocks).In same rocks the results of mathematical treatment is not consistent with the data (Tables 2, 6–9). This discrepancy corresponds to a desequilibrium between chlorite and phengite.These results imply a continuous metamorphic evolution between two stages (Fig. 6): a first stage (1) at 8 kb, 350 ° C; a second stage (2) at 2 to 3 kb, 400–450 ° C.     

Composition of barian mica in multiphase solid inclusions from orogenic garnet peridotites as evidence of mantle metasomatism in a subduction zone setting

Multiphase solid inclusions in minerals formed at ultra-high-pressure (UHP) provide evidence for the presence of fluids during deep subduction. This study focuses on barian mica, which is a common phase in multiphase solid inclusions enclosed in garnet from mantle-derived UHP garnet peridotites in the Saxothuringian basement of the northern Bohemian Massif. The documented compositional variability and substitution trends provide constraints on crystallization medium of the barian mica and allow making inferences on its source. Barian mica in the multiphase solid inclusions belongs to trioctahedral micas and represents a solid solution of phlogopite KMg₃(Si₃Al)O₁₀(OH)₂, kinoshitalite BaMg₃(Al₂Si₂)O₁₀(OH)₂ and ferrokinoshitalite BaFe₃(Al₂Si₂)O₁₀(OH)₂. In addition to Ba (0.24–0.67 apfu), mica is significantly enriched in Mg (X_Mg ~ 0.85 to 0.95), Cr (0.03–0.43 apfu) and Cl (0.04–0.34 apfu). The substitution vector involving Ba in the I-site which describes the observed chemical variability can be expressed as BaFe^IVAlClK_?1Mg_?1Si_?1(OH)_?1. A minor amount of Cr and ^VIAl enters octahedral sites following a substitution vector ^VI(Cr,Al)₂□^VI(Mg,Fe)_?3 towards chromphyllite and muscovite. As demonstrated by variable Ba and Cl contents positively correlating with Fe, barian mica composition is partly controlled by its crystal structure. Textural evidence shows that barian mica, together with other minerals in multiphase solid inclusions, crystallized from fluids trapped during garnet growth. The unusual chemical composition of mica reflects the mixing of two distinct sources: (1) an internal source, i.e. the host peridotite and its garnet, providing Mg, Fe, Al, Cr, and (2) an external source, represented by crustal-derived subduction-zone fluids supplying Ba, K and Cl. At UHP–UHT conditions recorded by the associated diamond-bearing metasediments (c. 1100 °C and 4.5 GPa) located above the second critical point in the pelitic system, the produced subduction-zone fluids transporting the elements into the overlying mantle wedge had a solute-rich composition with properties of a hydrous melt. The occurrence of barian mica with a specific chemistry in barium-poor mantle rocks demonstrates the importance of its thorough chemical characterization.     

An experimental study of Fe-Mg partitioning between garnet and olivine and its calibration as a geothermometer

The partitioning of Fe and Mg between coexisting garnet and olivine has been studied at 30 kb pressure and temperatures of 900 ° to 1,400 °C. The results of both synthesis and reversal experiments demonstrate that K _D (= (Fe/Mg)_gt/(Fe/Mg)_OI) is strongly dependent on Fe/Mg ratio and on the calcium content of the garnet. For example, at 1,000 °C/30 kb, K _D varies from about 1.2 in very iron-rich compositions to 1.9 at the magnesium end of the series. Increasing the mole fraction of calcium in the garnet from 0 to 0.3 at 1,000 ° C increases K _D in magnesian compositions from 1.9 to about 2.5.The observed temperature and composition dependence of K _D has been formulated into an equation suitable for geothermometry by considering the solid solution properties of the olivine and garnet phases. It was found that, within experimental error, the simplest kind of nonideal solution model (Regular Solution) fits the experimental data adequately. The use of more complex models did not markedly improve the fit to the data, so the model with the least number of variables was adopted.Multiple linear regression of the experimental data (72 points) yielded, for the exchange reaction: 3Fe₂SiO₄+2Mg₃Al₂Si₃O₁₂ olivine garnet 2Fe₂Al₂Si₃O₁₂+3Mg₂SiO₄ garnet olivine H ° (30kb) of –10,750 cal and S ° of –4.26 cal deg^–1 mol^–1. Absolute magnitudes of interaction parameters (W _ij ) derived from the regression are subject to considerable uncertainty. The partition coefficient is, however, strongly dependent on the following differences between solution parameters and these differences are fairly well constrained: W _FeMg ^ol -W _FeMg ^gt 800 cal W _CaMg ^gt -W _CaFe ^gt 2,670 cal.The geothermometer is most sensitive in the temperature and composition regions where K _D is substantially greater than 1. Thus, for example, peridotitic compositions at temperatures less than about 1,300 ° C should yield calculated temperatures within 60 °C of the true value. Iron rich compositions (at any temperature) and magnesian compositions at temperatures well above 1,300 °C could not be expected to yield accurate calculated temperatures.For a fixed K _D the influence of pressure is to raise the calculated temperature by between 3 and 6 °C per kbar.     

Internally consistent gahnitic spinel-cordierite-garnet equilibria in the FMASHZn system: geothermobarometry and applications

The equilibrium (Mg, Fe, Zn)₃Al₂Si₃O₁₂+2Al₂SiO₅=3(Mg, Fe, Zn)Al₂O₄+5SiO₂ garnet + sillimanite/kyanitc = spinel + quartz was calibrated in the piston-cylinder apparatus between 11 and 30 kbar, and over the temperature range of 950 to 1200°C. Three experimental mixes of Mg no. [100^*MgO/(MgO+FeO)] 40, 47 and 60, in the FeO –MgO–Al₂O₃–SiO₂–ZnO (FMASZn) system were used under low oxygen fugacities and anhydrous conditions. We derive a ternary Fe–Mg–Zn symmetric mixing model for aluminous spinels in equilibrium with garnet, to quantify the increase in gahnitic end-member of spinel with increasing pressure and descreasing temperature. Further experiments in the spinel-cordieritequartz-sillimanite field were combined with garnet-cordierite data from the literature to produce a consistent set of equations describing the exchange reactions in FMASHZn relevant to quartz-sillimanite bearing rocks at granulite facies conditions. As spinel is an important mineral participating in many rocks of aluminous composition at granulite-facies conditions, and as zinc contributes to an enlargement of spinel's stability field towards higher pressures and lower temperatures, the thermobarometric calibrations presented here will be most significant in delineating the prograde and retrograde trajectory of P-T paths.     

Biotites from Granitic Rocks of the Central Sierra Nevada Batholith, California

Biotites from plutonic recks of the central Sierra Nevada andInyo Mountains, California, have been examined and characterizedby powder X-ray diffraction and optical and chemical methods. Compositions of the biotites define a trend in the compositionaltriangle Fe+3 Fe+2Mg. When related to the experimentally studiedternary system KFe₃+3AlSisO₁₂H-₁-KFe₃+2 AlSi₃O₁₀(OH)₂-KMg₃AlSi₃O₁₀(OH)₂and coupled with the estimated positions of biotite solid solutionsfor different oxygen buffers, the trend suggests that oxygenfugacities in magmas during biotite crystallization were slightlyhigher than those defined by the Ni-NiO buffer. The compositionaldata also suggest that magmas were ‘buffered’ withrespect to oxygen by oxides existing within the magmas themselves. Correlation between the Fe/(Fe+Mg) ratio, an inferred temperatureindicator, and other elements is generally poor, which suggeststhat factors other than temperature at the time of crystallizationexerted an important influence on compositions.     

Grossular activity-composition relationships in ternary garnets determined by reversed displaced-equilibrium experiments

Activity-composition relationships of Ca₃Al₂Si₃O₁₂ (grs) in ternary Ca-Mg-Fe garnets of various compositions have been determined by reversed displaced equilibrium experiments at 1000° C and 900° C and pressures of 8 to 17 kbar. The mixing of grs in garnet is nearly ideal at 30 mol% grs, with positive deviations from ideality at lower grs contents. Models of garnet mixing currently in the literature do not predict this trend. Analysis of the present reversals, in conjunction with a garnet mixing model based solely on calorimetry measurements on the binary joins, indicates that a ternary interaction constant for a ternary asymmetric Margules model (Wohl 1953) cannot be constrained. Apparently, some aspects of the garnet binary joins are still not well-known. An alternative asymmetric empirical model, based on analysis of pseudobinary joins of constant Mg/Mg + Fe(Mg #), reproduces the data well and is able to predict grs activity coefficients for garnets with grs contents between 3 and 40 mol% and Mg numbers between 0 and 0.60. The grossular activity coefficient, _grs, is given by:

Thermodynamic properties of almandine-grossular garnet solid solutions

The mixing properties of Fe₃Al₂Si₃O₁₂-Ca₃Al₂Si₃O₁₂ garnet solid solutions have been studied in the temperature range 850–1100° C. The experimental method involves measuring the composition of garnet in equilibrium with an assemblage in which the activity of the Ca₃Al₂Si₃O₁₂ component is fixed. Experiments on the assemblage garnet solid solution, anorthite, Al₂SiO₅ polymorph and quartz at known pressure and temperature fix the activity of the Ca₃Al₂Si₃O₁₂ component through the equilibrium: 1 $$\begin{gathered} {\text{3CaAl}}_{\text{2}} {\text{Si}}_{\text{2}} {\text{O}}_{\text{8}} \rightleftarrows {\text{Ca}}_{\text{3}} {\text{Al}}_{\text{2}} {\text{Si}}_{\text{3}} {\text{O}}_{{\text{12}}} \hfill \\ {\text{Anorthite garnet}} \hfill \\ {\text{ + 2Al}}_{\text{2}} {\text{SiO}}_{\text{5}} {\text{ + SiO}}_{\text{2}} \hfill \\ {\text{ sillimanite/kyanite quartz}}{\text{.}} \hfill \\ \end{gathered}$$ This equilibrium, with either sillimanite or kyanite as the aluminosilicate mineral, was used to control \({\text{a}}_{{\text{Ca}}_{\text{3}} {\text{Al}}_{\text{2}} {\text{Si}}_{\text{3}} {\text{O}}_{{\text{12}}} }^{{\text{gt}}} \) . The compositions of the garnet solutions produced were determined by measurement of their unit cell edges. At 1 bar Fe₃Al₂Si₃O₁₂-Ca₃Al₂Si₃O₁₂ garnets exhibit negative deviations from ideality at the Fe-rich end of the series and positive deviations at the calcium end. With increasing pressure the activity coefficients for the Ca₃Al₂Si₃O₁₂ component increase because the partial molar volume of this component is greater than the molar volume of pure grossular. Previous studies indicate that the activity coefficients for the Ca₃Al₂Si₃O₁₂ component also increase with increasing (Mg/Mg+Fe) ratio of the garnet. The region of negative deviation from ideality implies a tendency towards formation of a stable Fe-Ca garnet component. Evidence in support of this conclusion has been found in a natural Fe-rich garnet which was found to contain two different garnet phases of distinctly different compositions.     

Diopside-jadeite join at 16–22 GPa

Phase relations on the diopside-jadeite join were experimentally determined at 16–22 GPa pressures and temperatures in the vicinity of 1500 °C under hydrous and 2100 °C under anhydrous conditions, using a split-sphere anvil apparatus (USSA-2000). Starting compositions on the diopside-jadeite join produced assemblages containing CaSiO₃ perovskite. This assured that the coexisting garnet with compositions in the ternary system Mg₂Si₂O₆(En)-CaMgSi₂O₆(Di)-NaAlSi₂ O₆(Jd) had the maximum Ca content possible under the given conditions. Garnet reached its maximum Ca content at 17 GPa, and exsolved CaSiO₃ perovskite at higher pressures. The garnet composition closest to the join, En₅Di_47.5Jd_47.5 (mol%), was reached at 18–19 GPa and 2100 °C. The maximum Na content of garnet limited by the coexisting pyroxene did not exceed 51 mol% jadeite at 22 GPa and 2100 °C. At 22 GPa, pyroxene was replaced with NaAlSiO₄ (calcium ferrite structure) and stishovite under anhydrous conditions, while in the presence of H₂O a new hydrous Na-bearing phase with the ideal composition Na₇(Ca, Mg)₃AlSi₅O₉(OH)₁₈ was synthesized instead. Garnet coexisting with CaSiO₃ perovskite and MgSiO₃ ilmenite at 22 GPa and 1400 °C was En₅₁Di₉Jd₄₀, coincidentally identical to the first garnet forming in the ternary system at 13 GPa. The new data are applicable to the Earth's transition zone (400–670 km depths) and suggest that the transformation from eclogite to garnetite would occur primarily over a limited depth interval from 400 to 500 km. Gaps in the observed garnet compositions suggest immiscibility, which could potentially cause a sharp 400 km discontinuity in an eclogitic mantle.     

Chlorine,titanium and barium-rich biotites: factors controlling biotite composition and the implications for garnet-biotite geothermometry

Barium-, Cl- and Ti-rich biotite occurs together with garnet, plagioclase and amphibole within narrow shear zones in 1800 Ma old noritic granulites in the Flakstadøy Basic Complex, Lofoten, north Norway. The granulite facies assemblage, plagioclase, clinopyroxene, orthopyroxene, biotite and ilmenite, was replaced by an amphibolite facies mineral assemblage including Ba-, Cl- and Ti-rich biotite during ductile deformation. Biotite shows complex compositional variations with respect to the contents of Ba, K, Cl, Ti, Al, Fe, Mg and Si. There are correlations between Si, Al^IV, K, Ba and Cl and between Al^VI and Ti. Titanium and Cl are uncorrelated. The Fe and Mg are correlated to both Cl and Ti. Multivariate analysis shows that most of the compositional variation of biotite can be described by two exchange reactions. This indicates that most of the variation in biotite composition was controlled by two chemical variables of the system. The content of the first exchange component (Ti_1.0 Fe_0.6 Al _-1.1 ^VI Mg_-0.8) in biotite can be related to the original distribution of Ti-bearing minerals in the igneous protolith. The content of the second exchange component (Al _0.4 ^IV Fe_0.8 Ba_0.5 Cl_1.0 Si_-0.4 Mg_-1.0 K_-0.5 OH_-1.0) is related to compositional variations of an externally derived Ba- and Cl-bearing fluid in equilibrium with biotite.The initially low Cl-content of the externally derived fluid was increasing during bioite forming reactions, because OH was preferentially incorporated, relative to Cl, into biotite. Continued hydration/chloridisation reactions resulted in a gradual consumption of the free fluid phase, resulting in local fluid-absent conditions. The composition of biotite reflects the composition of the last fluid in equilibrium with the mineral, i.e. the composition of the fluid immediately before the grain boundaries were fluid-undersaturated. Thus, the variations in biotite composition reflect how the fluid was gradually consumed throughout the shear zone rock. The correlations between Fe, Mg, Ba, K and Cl can be attributed to differences between the structure of the crystal lattices and the sizes of the cation sites of OH-phlogopite and Cl-annite. The dependency of the Fe/Mg ratios of biotite on the Cl-and Ti-content has a strong effect on the Fe–Mg partitioning between biotite and garnet. The relationship between lnK_D, X _Ti ^Bt and X _Cl ^Bt can be expressed by the regression equation: lnK _D =-1.82+2.60X _Ti ^Bt +5.67X _Cl ^Bt     

An experimental study of glaucophanic amphiboles in the system Na2O-MgO-Al2O3-SiO2-SiF4 (NMASF): some implications for glaucophane stability in natural and synthetic systems at high temperatures and pressures

The phase relations of glaucophanic amphiboles have been studied at 18–31 kbar/680–950°C in the synthetic system Na₂O–MgO–Al₂O₃–SiO₂–SiF₄ (NMASF) using the bulk composition of fluor-glaucophane, Na₂Mg₃Al₂Si₈O₂₂F₂. Previous experimental studies of glaucophane in the water-bearing system (NMASH) have been hampered by problems of fine grain size (electron microprobe analyses with low oxide totals and contamination by other phases), and consequently good compositional data are lacking. Fluor-amphiboles, on the other hand, generally have much higher thermal stabilities than their hydrous counterparts. By using the fluorine-analogue system NMASF, amphibole crystals sufficiently coarse for electron microprobe analysis have been obtained. Furthermore, NMASH amphibole phase relations are directly analogous to those of the NMASF system because SiF₄ fills the role of H₂O as the fluid species. High-pressure NMASF amphibole parageneses are comparable to those obtained for NMASH amphiboles under similar pressure-temperature conditions, except that the NMASF solidus was not encountered. In the pressure-temperature range of the NMASF experiments, fluor-glaucophane is unstable relative to glaucophanenyböite-Mg-magnesio-katophorite amphiboles. Variations in synthetic fluor-amphibole composition with P and T are discussed in terms of changes in the thermodynamic activities of the principal amphibole end-members, such as glaucophane (a_Gp) and nyböite (a_Ny) using an ideal-mixing-on-sites model. The most glaucophanic amphiboles analysed have a_Gp=0.50–0.60 and coexist with jadeite and coesite at 30 kbar/800°C. Amphiboles become increasingly nyböitic with decreasing pressure through the NaAlSi_-1 exchange, which is the principal variation observed. The most nyböitic amphiboles have a_Ny =0.65–0.70 and coexist with fluor-sodium-phlogopite and quartz at 21–24 kbar/800–850°C. At 800°C amphiboles are essentially glaucophane-nyböite solid solutions. At 850°C there is some minor displacement along MgMgSi_-1, but Mg-magnesio-katophorite activities are very low (<0.06). Activities of the eight other NMASF amphibole end-members are <0.001, except for eckermannite activity which varies from 0.01–0.11. Our results indicate that: (a) synthetic amphiboles mimic the essential stoichiometries observed in blueschist amphiboles; (b) synthetic studies should be relevant to petrologically important high-pressure parageneses and reactions involving glaucophanicamphiboles, sodic pyroxenes, albite and talc; (c) the high-pressure stability limit of fluorglaucophane lies at pressures higher than those reached in this study (31 kbar); (d) in natural systems an approach to glaucophane stoichiometry should be favoured by high water activities as well as high pressures.Abbreviations and formulae used in this paper Glaucophane (Gp) oNa₂(Mg₃Al₂)Si₈O₂₂(OH,F)₂ - Nyböite (Ny) NaNa₂(Mg₃Al₂)Si₇AlO₂₂(OH,F)₂ - Eckermannite (Ek) NaNa₂(Mg₄Al)Si₈O₂₂(OH,F)₂ - Magnesio-cummingtonite (MC) oMg₂(Mg₅)Si₈O₂₂(OH,F)₂ - Sodium-magnesio-cummingtonite (SMC) NaNaMg(Mg₅)Si₈O₂₂(OH,F)₂ - Sodium-anthophyllite (SAn) NaMg₂(Mg₅)Si₇AlO₂₂(OH,F)₂ - Gedrite (Gd) oMg₂(Mg₃Al₂)Si₆Al₂O₂₂(OH,F)₂ - Sodium-gedrite (SGd) NaMg₂(Mg₄Al)Si₆Al₂O₂₂(OH,F)₂ - Mg-magnesio-aluminotaramite (MAT) NaNaMg(Mg₃Al₂)Si₆Al₂O₂₂(OH,F)₂ - Mg-magnesio-katophorite (MKt) NaNaMg(Mg₄Al)Si₇AlO₂₂(OH,F)₂ - Mg-magnesio-barroisite (MBa) oNaMg(Mg₄Al)Si₇AlO₂₂(OH,F)₂ - Jadeite (Jd) NaAlSi₂O₆ - Enstatite (En) Mg₂Si₂O₆ - Forsterite (Fo) Mg₂SiO₄ - Nepheline (Ne) NaAlSiO₄ - Albite (Ab) NaAlSi₃O₈ - Quartz/Coesite (Qz/Co) SiO₂ - Sodium-phlogopite (Sphl) NaMg₃Si₃AlO₁₀(OH,F)₂ - Talc (Tc) oMg₃Si₄O₁₀(OH,F)₂ - o vacant A-site in amphiboles and interlayer site in talc. Octahedral cations in amphiboles are bracketted     

Phase equilibria and the pressure-temperature path of the highest-grade Ryoke metamorphic rocks in the Yanai district, SW Japan

The garnet-cordierite zone, the highest-grade zone of the Ryoke metamorphic rocks in the Yanai district, SW Japan, is defined by the coexistence of garnet and cordierite in pelitic rocks. Three assemblages in this zone are studied in detail, i.e. spinel + cordierite + biotite, garnet + cordierite + biotite and garnet + biotite, all of which contain quartz, K-feldspar and plagioclase. The Mg/(Fe + Mg) in the coexisting minerals decreases in the following order: cordierite, biotite, garnet and spinel. Two facts described below are inconsistent with the paragenetic relation in the K₂OFeOMgOAl₂O₃SiO₂H₂O (KFMASH) system in terms of an isophysical variation. First, garnet and biotite in the last assemblage have Mg/(Fe + Mg) higher than those in the second. Second, the first two assemblages are described by the reaction,

Thermochemical study of Mg–Fe chlorites

The thermochemical study of two natural trioctahedral Mg–Fe chlorites—clinochlores was carried out using high-temperature melt solution calorimetry with a Tian–Calvet microcalorimeter. The enthalpies of formation of clinochlores of compositions (Mg_4.9Fe _0.3 ²⁺ Al_0.8)[Si_3.2Al_0.8O₁₀](OH)₈ (–8811 ± 12 kJ/mol) and (Mg_4.3Fe _0.7 ²⁺ Al_1.0)[Si_3.0Al_1.0O₁₀](OH)₈ (–8696 ± 13 kJ/mol) from elements were determined. The values of the standard entropies and the Gibbs energies of formation of the studied natural minerals as well as thermodynamic properties of Mg–Fe chlorites of theoretical composition were estimated.     

Garnet-pyroxene equilibria in the system CaO-MgO-Al2O3-SiO2 (CMAS): prospects for simplified (‘T-independent’) lherzolite barometry and an eclogite-barometer

New experimental data on compositions of garnets in two-pyroxene — garnet assemblages in the system CaO –MgO –Al₂O₃ –SiO₂ (CMAS) are presented for conditions between 1,100 and 1,570° C and 30 to 50 kb. Garnets in these assemblages become less calcic with increasing pressure. Garnet-orthopyroxene barometry (Al-solubility-barometry) pertinent to geobarometry for garnet lherzolites has been evaluated with a set of experimental data covering the range 900 to 1,570° C and 15 to 100 kb. Various formulations of this barometer work well to 75 kb. Phase equilibria are not sufficient to positively verify the thermodynamic validity of any of such models. Empirical garnet-orthopyroxene barometry at least in the system CMAS can be formulated to obtain a pressure estimate without previous temperature estimation (P(kb)=34.4-19.175 1n X _Al ^M1 +17.702 1n X _Ca ^M2 ). The potential application of an analogous garnetclinopyroxene equilibrium is limited because the amount of Ca-Tschermaks in natural clinopyroxenes is usually quite small in garnet lherzolites and many eclogites. The Ca-Mg exchange between garnet and clinopyroxene appears however sufficiently sensitive to pressure to allow calibration of a CMAS barometer. The reaction 3CaMgSi₂O₆+Mg₃Al₂Si₃O₁₂=3Mg₂Si₂O₆+Ca₃Al₂Si₃O₁₂ has a V ^o of 3.5 cm³. The total pressure dependency of this reaction is however closer to a theoretical V ^o of about 5 cm³ when excess volume properties of the phases involved are taken into account. We have calibrated such a barometer (mean error of estimate 2.8 kb) for assemblages with pyrope-rich (py>80) garnets and orthopyroxenes. This may provide the basis for a geobarometer for eclogites from kimberlites.Abbreviations Used in the Text CaTs Ca-tschermak's molecule, CaAl₂SiO₆ - cpx clinopyroxene - di diopside, CaMgSi₂O₆ - en enstatite, Mg₂Si₂O₆ - gr grossular, Ca₃Al₂Si₃O₁₂ - gt garnet - MgTs Mg-Tschermak's molecule, MgAl₂SiO₆ - opx orthopyroxene - px pyroxene - py pyrope, Mg₃Al₂Si₃O₁₂ - a _i ^j activity of component i in phase j - activity coefficient - G(I) molar Gibbs free energy difference of reaction (I) at standard state unless specified otherwise - H(I), (H _I) molar enthalpy (difference) of phase (reaction) (I) at standard state unless specified otherwise - S (I), (S _I) molar entropy (difference) of phase (reaction) (I) at standard state unless specified otherwise - V ^o, (V _I ^o) molar volume (difference) of phase (reaction) (I) at standard state - X _i ^j mole fraction of component i in phase j     

Diffusion gradients in an eclogite xenolith from the Roberts Victor kimberlite pipe: (2) kinetics and implications for petrogenesis

In a bimineralic eclogite xenolith (sample JJG41) from the Roberts Victor kimberlite, compositional gradients in clinopyroxene are related to garnet exsolution. Two principal reactions involving clinopyroxene and garnet occur: (i) The net-transfer Al₂Si^-1Mg^-1 which is responsible for garnet growth according to the equation 2Di+Al₂Si^-1Mg^-1=Grossular+MgCa^-1 (reaction 1). This has created substantial compositional gradients in Al, Si and Mg within clinopyroxene. (ii) The exchange of Fe–Mg between garnet and clinopyroxene (reaction 2). During the stage of garnet growth (reaction 1) the lamellae crystallized sequentially as a result of a temperature decrease from around 1400 to 1200° C. This exsolution growth-stage was under the control of Al diffusion in clinopyroxene and at around 1200° C further growth of garnet lamellae became impeded by the sluggishness of Al diffusion in the clinopyroxene host. However, reaction 2 continued during further cooling down to about 1000° C; this temperature being inferred from the constant Fe–Mg partitioning at clinopyroxene-garnet interfaces for the whole set of lamellae. The initial clinopyroxene in JJG41 was probably formed by crystallization from a melt in Archaean time. The cessation of Fe–Mg exchange between garnet and clinopyroxene at about 1000° C may well predate the eruption of the eclogite in kimberlite at around 100 Ma. Kinetic models of reaction are examined for both reactions. Modelling of reaction 1, involving both diffusion and interface migration, allows several means of estimating the diffusion coefficient of Al in clinopyroxene; the estimates are in the range 10^-16-10^-20 cm²/s at 1200° C. These estimates bracket the experimentally determined data for Al diffusion in clinopyroxene, and from these experimental data a preferred cooling rate of about 300° C/Ma is obtained for the period of growth of garnet exsolution lamellae. A geospeedometry approach (Lasaga 1983) suitable for a pure-exchange process (reaction 2) is used to estimate the cooling rate in the later stages of the thermal history (after garnet growth); values 4–40° C/Ma are consistent with the shape of the Fe-diffusion gradients in the clinopyroxene. The extensive thermal history recorded by JJG41, including probable melt involvement at ca. 1400° C, demonstrates the complex evolution of rocks within the mantle. Whilst the notion of formation of mantle eclogites from subducted oceanic crust has become fashionable, it is clear that tracing eclogite geochemical and P-T characteristics backwards from their nature at the time of xenolith eruption, through high-temperature mantle events to the characteristics of the original subducted oceanic crust, will be very complex.     

An experimental study of Ca-(Fe,Mg) interdiffusion in silicate garnets

Ca-(Fe,Mg) interdiffusion experiments between natural single crystals of grossular (Ca_2.74Mg_0.15 Fe_0.23Al_1.76Cr_0.04Si_3.05O₁₂) and almandine (Ca_0.21Mg_0.40 Fe_2.23Mn_0.13Al_2.00Cr_0.08Si_2.99O₁₂ or Ca_0.43Mg_0.36Fe_2.11 Al_1.95Si_3.04O₁₂), were undertaken at 900–1100 °C and 30 kbar, and pressures of 15.0–32.5 kbar at 1000 °C. Samples were buffered by Fe/FeO in most cases. Diffusion profiles were determined by electron microprobe. Across the experimental couples the interdiffusion coefficients (D˜) were almost independent of composition. The diffusion rates in an unbuffered sample were significantly faster than in buffered samples. The temperature dependence of the D˜ (Ca-Fe,Mg) interdiffusion coefficients may be described by

Synthesis and properties of Mn-bearing yoderite and of Mn-bearing kornerupine as by-product

Summary Yoderite with compositions close to those of the natural purple variety were synthesized from gels at high water pressures (15–16 kbar) and temperatures (650, 800°C) at the oxygen fugacities of the Mn₂O₃/MnO₂-buffer with yields up to 95%. Chemical formulae based on microprobe data and water analyses are Mg_1.90(Al_6.01Fe³⁺ _0.28Mn³⁺ _0.11)_=6.40Si_3.8O_18.21(OH)_1.79 and Mg_1.86(Al_5.77Fe³⁺ _0.36Mn³⁺ _0.04)_=6.17Si₄O_18.20(OH)_1.80. Manganiferous, but iron-free yoderite with the formula Mg_1.85(Al_6.26Mn³⁺ _0.10)_=6.36Si_3.91O_18.15(OH)_1.85 was also obtained and proves that Mn³⁺ alone may stabilize the yoderite structure, although this does not necessarily imply thermodynamic-stability. All these synthetic yoderites exhibit the typical purple color known from the natural mineral with pleochroism of dark blue b to colorless b, which confirms the earlier spectroscopic conclusion that Mn is responsible for the purple color of yoderite. Compared to ferric iron, Mn³⁺ is incorporated into yoderite in much smaller amounts, although the maximum attained here (0.11 p.f.u.) is still below the 0.15 found in new analyses of natural yoderite from Tanzania.In some runs yoderite coexisted with kornerupine containing Mn and Fe as well and showing spectacular pleochroism from dark green b to light red c. Relative to yoderite Mn is fractionated into kornerupine. The analytical data suggest that most of the manganese is incorporated as Mn²⁺, although some Mn³⁺ may be the reason for the color. Coexisting braunite contains high amounts of Mg and Al substituting for Mn²⁺ and Mn³⁺, respectively. Garnet obtained from the Fe-free gel contains only Mn²⁺ and has the end member composition Pyrope₇₉Spessartine₂₁ despite high oxygen fugacity.

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Synthese und Eigenschaften von Mn-haltigem Yoderit und Mn-haltigem Kornerupin als Nebenprodukt

Zusammenfassung Die Synthese von Yoderiten mit chemischen Zusammensetzungen nahe denjenigen der natürlichen, blau gefärbten Varietät gelang in Ausbeuten bis zu 95% aus Gelen bei hohen Versuchsdrücken (15, 16 kbar) und Temperaturen von 650 bzw. 800°C. Die Sauerstoffugazität wurde durch den Puffer Mn₂O₃/MnO₂ kontrolliert. Aus Mikrosondenanalysen und Wasserbestimmungen wurden folgende chemische Formeln von Yoderit bestimmt: Mg_1.90(Al_6.01Fe³⁺ _0.28Mn³⁺ _0.11)_=6.40Si_3.80O_18.21(OH)1.79 and Mg_1.86(Al_5.77Fe³⁺ _0.36Mn³⁺ _0.04)_=6.17Si₄O_18.20(OH)_1.80. Die Stabilisierung der Yoderitstruktur allein durch Mangan wurde durch die Synthese manganhaltigen, aber eisenfreien Yoderits, Mg_1.85(Al_6.26Mn³⁺ _0.10)_=6.36Si_3.91O_18.15(OH)_1.85 belegt. Sämtliche synthetisierten Yoderite besitzen die typische dunkelblaue Farbe, wie sie vom natürlichen Mineral bekannt ist, und zeigen einen Pleochroismus von dunkelblau b zu farblos b. Dies unterstützt die ursprüngliche auf spektroskopischen Untersuchungen basierende Vermutung, daß Mangan für die blaue Farbe von Yoderit verantwortlich ist. Im Vergleich zu Eisen wird Mn³⁺ in geringerem Ausmaß in die Yoderit-struktur eingebaut, wobei die hier erreichte maximale Menge von 0.11 Mn³⁺ p.F.E. unter derjenigen der natürlichen Yoderite von Mautia Hill, Tansania, liegt (dort 0.15 Mn³⁺ p.F.E.).In einigen Versuchsprodukten koexistierte mit Yoderit auch Fe-Mn haltiger Kornerupin, der einen ausgeprägten Pleochroismus von dunkelgrün b zu hellrot c besitzt. Kornerupin enthält im Vergleich zu Yoderit mehr Mangan. Chemische Analysen dieser Phase belegen den Einbau von zweiwertigem Mangan, obwohl wahrscheinlich Spuren von Mn³⁺ die Farbe von Kornerupin verursachen. Mit Yoderit koexistierender Braunit besitzt Mg und Al, die für Mn²⁺ bzw. Mn³⁺ substituiert wurden. Trotz hoher Sauerstoffugazität enthält Granat, der aus einem Fe-freien Gel erhalten wurde, ausschließlich zweiwertiges Mangan und stellt einen Mischkristall zwischen Pyrop und Spessartin dar (Py₇₉Spess₂₁).

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With 2 Figures     

Petrologic constraints for eoalpine eclogite facies metamorphism in the austroalpine Ötztal basement

Metabasites of the southern Ötztal basement hitherto mapped as amphibolites, were identified as eclogites. Primary mineral parageneses are tschermakitic to pargasitic green amphiboles, omphacite (Jd₄₀), garnet II (Gr_20–30) Py₁₀), phengite (Si_3.5), zoisite, rutile and quartz. Al—pargasite (20 wt% Al₂O₃) rims between garnet and omphacite are interpreted as retrograde reaction products.Retrogression of the eclogite parageneses reflecting decreasing pressure and increasing temperature conditions are: Symplectites of diopside and plagioclase after omphacite, Al-and Na-poor green amphiboles, grossularite-poor garnet III surrounding garnet II partly with atoll textures and symplectites of biotite and plagioclase replacing phengite. Continuation of retrogression with decreasing temperature conditions is indicated by actinolitic amphiboles and albite-rims between amphibole II and quartz.     

Thermochemical study Mg–Fe amphiboles

The paper presents data on the thermochemical study (high-temperature melt calorimetry in a Tian–Calvet microcalorometer) of two natural Mg–Fe amphiboles: anthophyllite Mg_2.0(Mg_4.8Fe_0.2 ²⁺)[Si_8.0O₂₂](OH)₂ from Kukh-i-Lal, southwestern Pamirs, Tajikistan, and gedrite Na_0.4Mg_2.0(Mg_1.7Fe_0.2 ²⁺Al_1.3)[Si_6.3Al_1.7O₂₂](OH)₂ from the Kola Peninsula, Russia. The enthalpy of formation from elements is obtained as–12021 ± 20 kJ/mol for anthophyllite and as–11545 ± 12 kJ/mol for gedrite. The standard entropy, enthalpy, and Gibbs energy of formation are evaluated for Mg–Fe amphiboles of theoretical composition.