Abstract
A revised regular solution-type thermodynamic model for twelve-component silicate liquids in the system SiO2-TiO2-Al2O3-Fe2O3-Cr2O3-FeO-MgO-CaO-Na2O-K2O-P2O5-H2O is calibrated. The model is referenced to previously published standard state thermodynamic properties and is derived from a set of internally consistent thermodynamic models for solid solutions of the igneous rock forming minerals, including: (Mg,Fe2+,Ca)-olivines, (Na,Mg,Fe2+,Ca)M2 (Mg,Fe2+, Ti, Fe3+, Al)M1 (Fe3+, Al,Si)2 TETO6-pyroxenes, (Na,Ca,K)-feldspars, (Mg,Fe2+) (Fe3+, Al, Cr)2O4-(Mg,Fe2+)2 TiO4 spinels and (Fe2+, Mg, Mn2+)TiO3-Fe2O3 rhombohedral oxides. The calibration utilizes over 2,500 experimentally determined compositions of silicate liquids coexisting at known temperatures, pressures and oxygen fugacities with apatite ±feldspar ±leucite ±olivine ±pyroxene ±quartz ±rhombohedral oxides ±spinel ±whitlockite ±water. The model is applicable to natural magmatic compositions (both hydrous and anhydrous), ranging from potash ankaratrites to rhyolites, over the temperature (T) range 900°–1700°C and pressures (P) up to 4 GPa. The model is implemented as a software package (MELTS) which may be used to simulate igneous processes such as (1) equilibrium or fractional crystallization, (2) isothermal, isenthalpic or isochoric assimilation, and (3) degassing of volatiles. Phase equilibria are predicted using the MELTS package by specifying bulk composition of the system and either (1) T and P, (2) enthalpy (H) and P, (3) entropy (S) and P, or (4) T and volume (V). Phase relations in systems open to oxygen are determined by directly specifying the f o 2 or the T-P-f o 2 (or equivalently H-P-f o 2, S-P-f o 2, T-V-f o 2) evolution path. Calculations are performed by constrained minimization of the appropriate thermodynamic potential. Compositions and proportions of solids and liquids in the equilibrium assemblage are computed.
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References
Adamkovičová K, Kosa L, Proks I (1980) The heat of fusion of calcium silicate. Silikaty 24:193–201
Agee CB, Walker D (1990) Aluminum partitioning between olivine and ultrabasic silicate liquid to 6 GPa. Contrib Mineral Petrol 105:243–254
Arndt NT (1977) Partitioning of nickel between olivine and ultrabasic and basic komatiite liquids. Carnegie Inst Washington Yearb 76:553–557
Baker DR, Eggler DH (1987) Compositions of anhydrous and hydrous melts coexisting with plagioclase, augite, and olivine or low-Ca pyroxene from 1 atm to 8 kbar: applications to the Aleutian volcanic center of Atka. Amer Mineral 72:12–28
Barnes SJ (1986) The distribution of chromium among orthopyroxene, spinel and silicate liquid at atmospheric pressure. Geochim Cosmochim Acta 50:1889–1909
Bartels KS, Grove TL (1991) High-pressure experiments on magnesian eucrite compositions: constraints on magmatic processes in the eucrite parent body. Proc Lunar Planet Sci Conf 21:351–365
Bartels KS, Kinzler RJ, Grove TL (1991) High-pressure phase relations of primitive high-aluminum basalts from Medicine Lake Volcano, Northern California. Contrib Mineral Petrol 108:253–270
Bender JF, Hodges FN, Bence AE (1978) Petrogenesis of basalts from the FAMOUS area: experimental study from 0 to 15 kbars. Earth Planet Sci Letts 41:277–302
Berman RB (1988) Internally-consistent thermodynamic data for minerals in the system Na2O-K2O-CaO-MgO-FeO-Fe2O3-Al2O3-SiO2-TiO2-H2O-CO2. J Petrol 29:445–522
Berman RG, Brown TH (1985) Heat capacity of minerals in the system Na2O-K2O-CaO-MgO-FeO-Fe2O3-Al2O3-SiO2-TiO2-H2O-CO2: representation, estimation, and high temperature extrapolation. Contrib Mineral Petrol 89:168–183
Berman RG, Brown TH (1987) Development of models for multicomponent melts: Analysis of synthetic systems. In: Carmichael ISE, Eugster HP, (eds). Thermodynamic modeling of geological materials: minerals, fluids and melts (Reviews in Mineralogy vol. 17). Mineralogical society of America, Washington DC, pp 405–442
Bickle MJ (1978) Melting experiments on peridotitic komatiites, Progress in Experimental Petrology. NERC 4th Progress Rept, (NERC Publ. Series D) 11:187–195
Biggar GM, O'Hara MJ, Peckett A, Humphries DJ (1971) Lumar lavas and the achondrites: Petrogenesis of protohypersthene basalts in the maria lava lakes. Proc Lunar Planet Sci Conf 2:617–643
Bowen NL, Andersen O (1914) The binary system MgO-SiO2. Am J Sci 37:487–500
Burnham CW, Jahns RH (1962) A method for determining the solubility of water in silicate liquids. Am J Sci 260:721–745
Carpenter M (1988) Thermochemistry of aluminum/silicon ordering in feldspar minerals, In: Salje EKH (ed.) Physical properties and thermodynamic behavior of minerals. Reidel, Dordrecht, pp 265–323
Chen H-K, Delano JW, Lindsley DH (1982) Chemistry and phase relations of VLT volcanic glasses from Apollo 14 and Apollo 17. Proc Lunar Planet Sci Conf 13 (J Geophys Res 87 Supplement): A171-A181
Delano JW (1977) Experimental melting relations of 63545, 76015, and 76055. Proc Lunar Planet Sci Conf 8:2097–2123
Delano JW (1980) Chemistry and liquidus phase relations of Apollo 15 red glass: Implications for the deep lunar interior. Proc Lunar Planet Sci Conf 11:251–288
Elkins LT, Grove TL (1990) Ternary feldspar experiments and thermodynamic models. Am Mineral 75:544–559
Fram MS, Longhi J (1992) Phase equilibria of dikes associated with Proterozoic anorthosite complexes. Am Mineral 77:605–616
Fujii T, Bougalt H (1983) Melting relations of an abyssal tholciite and the origin of MORBs. Earth Planet Sci Lett 62:283–295
Gee LL, Sack RO (1988) Experimental petrology of melilite nephelinites. J Petrol 29:1233–1255
Ghiorso MS (1983) LSEQIEQ: A FORTRAN IV subroutine package for the analysis of multiple linear regression problems with possibly deficient pseudorank and linear equality and inequality constraints. Computers and Geosciences 9:391–416
Ghiorso MS (1985) Chemical mass transfer in magmatic processes I. Thermodynamic relations and numerical algorithms. Contrib Mineral Petrol 90:107–120
Ghiorso MS (1987) Modeling magmatic systems: Thermodynamic relations. In: Carmichael ISE, Eugster HP (eds) Thermodynamic modeling of geological materials: minerals, fluids and melts. (Reviews in Mineralogy vol 17). Minerological Society of America, Washington. DC, pp 443–465
Ghiorso MS (1990a) Thermodynamic properties of hematite-ilmenite-geikielite solid solutions. Contrib Mineral Petrol 104:645–667
Ghiorso MS (1990b) The application of the Darken equation to mineral solid solutions with variable degrees of order-disorder. Amer Mineral 75:539–543
Ghiorso MS (1994) Algorithms for the estimation of phase stability in heterogeneous thermodynamic systems. Geochim Cosmochim Acta (in press)
Ghiorso MS, Carmichael ISE (1980) A regular solution model for met-aluminous silicate liquids: applications to geothermometry, immiscibility, and the source regions of basic magmas. Contrib Mineral Petrol 71:323–342
Ghiorso MS, Carmichael ISE (1985) Chemical mass transfer in magmatic processes. II. Applications in equilibrium crystallization, fractionation and assimilation. Contrib Mineral Petrol 90:121–141
Ghiorso MS, Carmichael ISE (1987) Modeling magmatic systems: petrologic applications. In: Carmichael ISE, Eugster HP (eds) Thermodynamic modeling of geological materials: minerals, fluids and melts. (Reviews in Mineralogy vol. 17) Mineralogical Society of American, Washington DC, pp 467–499
Ghiorso MS, Kelemen PB (1987) Evaluating reaction stoichiometry in magmatic systems evolving under generalized thermodynamic constraints: examples comparing isothermal and isenthalpic assimilation. In: Mysen BO (ed) Magmatic processes: Physicochemical principles. (Geochem Soc Sp Publ 1) Geochem Soc, Penn state university, pp 319–336
Ghiorso MS, Sack RO (1991) Fe-Ti oxide geothermometry: thermodynamic formulation and the estimation of intensive variables in silicic magmas. Contrib Mineral Petrol 108:485–510
Ghiorso MS, Carmichael ISE, Rivers ML, Sack RO (1983) The Gibbs free energy of mixing of natural silicate liquids; an expanded regular solution approximation for the calculation of magmatic intensive variables. Contrib Mineral Petrol 84:107–145
Grove TL, Beaty DW (1980) Classification, experimental petrology and possible volcanic histories of the Apollo 11 high-K basalts. Proc Lunar Planet Sci Conf 11:149–177
Grove TL, Bence AE (1977) Experimental study of pyroxene-liquid interaction in quartz normative basalt 15597. Proc Lunar Planet Sci Conf 8:1549–1579
Grove TL, Bryan WB (1983) Fractionation of pyroxene-phyric MORB at low pressure: an experimental study. Contrib Mineral Petrol 84:293–309
Grove TL, Juster TC (1989) Experimental investigations of low-Ca pyroxene stability and olivine-pyroxene-liquid equilibria at 1-atm in natural basaltic and andesitic liquids. Contrib Mineral Petrol 103:287–305
Grove TL, Lindsley DH (1979) An experimental study on the crystallization of pyroxferroite. Proc Lunarr Planet Sci Conf 10:470–472
Grove TL, Raudsepp M (1978) Effects of kinetics on the crystallization of quartz normative basalt 15597: An experimental study. Proc Lunar Planet Sci Conf 9:585–599
Grove TL, Vaniman DT (1978) Experimental petrology of very low Ti (VLT) basalts. In: Mare Crisium: The view from Luna 24. Pergamon, New York, pp 445–471
Grove TL, Gerlach DC, Sando TW (1982) Origin of calc-alkaline series lavas at Medicine Lake Volcano by fractionation, assimilation, and mixing. Contrib Mineral Petrol 84:160–182
Grove TL, Kinzler RJ, Bryan WB (1990) Natural and experimental phase relations of lavas from Serocki Volcano. Proc Ocean Drill Prog Sci Res 106/107:9–17
Grove TL, Kinzler RJ, Bryan WB (1993) Fractionation of mid-ocean ridge basalt (MORB). In: Mantle flow and melt generation at mid-ocean ridges Geophys Monogr Am Geophys Union, 71:281–310
Hamilton DL, Burnham CW, Osborn EF (1964) The solubility of water and effects of oxygen fugacity and water content on cyrstallization in mafic magmas. J Petrol 5:21–39
Helz RT (1976) Phase relations of basalts in their melting range at PH 2 O=5 kb as a function of oxygen fugacity. Part II. Melt compositions. J Petrol 17:139–193
Hess PC, Rutherford MJ, Campbell HW (1978) Ilmenite crystallization in nonmare basalt: genesis of KREEP and high-Ti marc basalt. Proc Lunar Planet Sci Conf 9:705–724
Hirschmann M (1991) Thermodynamics of multicomponent olivines and the solution properties of (Ni,Mg,Fe)2SiO4 and (Ca,Mg,Fc)2SiO4 olivines. Amer Mineral 76:1232–1248
Hirschmann M, Ghiorso MS (1994) Chemical potentials of NISi0.5O2, CoSi0.5O2, and MnSi0.5O2 in magmatic liquids and applications to olivine-liquid partitioning. Geochim Cosmochim Acta 58:4109–4126
Housh TB, Luhr JF (1991) Plagioclase-melt equilibria in hydrous systems. Am Mineral 76:477–492
Johnson AD (1986) Anhydrous P-T phase relations of near-primary high-alumina basalt from the South Sandwich Islands: Implications for the origin of island arcs and tonalite-trondhjemite scrics rocks. Contrib Mineral Petrol 92:368–382
Jurewicz AJG, Mittlefehldt DW, Jones JH (1993) Experimental partial melting of the Allende (CV) and Murchison (CM) chondrites and the origin of asteroidal basalts. Geochim Cosmochim Acta 57:2123–2139
Juster TC, Grove TL, Perfit MR (1989) Experimental constraints on the generation of FeTi basalts, andesites, and rhyodacites at the Galapagos Spreading Center, 85° W and 95° W. J Geophys Res 87:9521–9274
Kelemen PB, Joyce DB, Webster JD, Holloway JR (1990) Reaction between ultramafic rock and fractionating basaltic magma. II. Experimental investigation of reaction between olivine tholeiite and harzburgite at 1150 1050°C and 5 kb. J Petrol 31:99–134
Kelley KK (1960) Contributions to the data on theoretical metalurgy: part 13, High temperature heat content, heat capacity and entropy data for the elements and inorganic compounds. US Bur Mines Bull 584
Kennedy AK, Grove TL, Johnson RW (1990) Experimental and major element constraints on the evolution of lavas from Lihir Island, Papua New Guinea. Contrib Mineral Petrol 104:772–734
Khitarov NI, Lebedev EB, Regarten EV, Arseneva RV (1959) Solubility of water in basaltic and granitic melts. Geochemistry 5:479–492
Kinzler RJ, Grove TL (1985) Crystallization and differentiation of Archean komatiite lavas from northeast Ontario: phase equilibrium and kinetic studies. Am Mineral 70:40–51
Kinzler RJ, Grove TL (1992) Primary magmas of mid-ocean ridge basalts, 1, experiments and methods. J Geophys Res 97:6885–6906
Kress VC, Carmichael ISE (1988) Stoichiometry of the iron oxidation reaction in silicate melts. Amer Mineral 73:1267–1274
Kress VC, Carmichael ISE (1989) The lime-iron-silicate melt system: redox and volume systematics. Geochim Cosmochim Acta 53:2883–2892
Kress VC, Carmichael ISE (1991) The compressibility of silicate liquids containing Fe2O3 and the effect of composition, temperature, oxygen fugacity and pressure on their redox states. Contrib Mineral Petrol 108:82–92
Lange RA, Carmichael ISE (1987) Densities of Na2O-K2O-CaO-MgO-FeO-Fe2O3-TiO2-SiO2 liquids: new measurements and derived partial molar properties. Geochim Cosmochim Acta 51:2931–2946
Lange RA, Carmichael ISE (1989) Ferric-ferrous equilibria in Na2O-FeO-Fe2O3-SiO2 melts: effects of analytical techniques on derived partial molar volumes. Geochim Cosmochim Acta 53:2195–2204
Lange RA, Carmichael ISE (1990) Thermodynamic properties of silicate liquids with emphasis on density, thermal expansion and compressibility. In: Nicholls J, Russell JK (eds.) Modern methods of igneous petrology: understanding magmatic processes (Reviews in Mineralogy vol. 24) Mincrological Society of America, Washington DC, pp 25–59
Lange RA, Navrotsky A (1992) Heat capacities of Fe2O3-bearing silicate liquids. Contrib Mineral Petrol 110:311–320
Lawson CL, Hanson RJ (1974) Solving least squares problems. Prentice-Hall, Englewood Cliffs, New Jersey
Le Maitre RW (1984) A proposal by the IUGS subcommission on the systematics of igneous rocks for a chemical classification of volcanic rocks based on the total alkali silica (TAS) diagram. Aust J Earth Sci 31:243–255
Leeman WP (1974) Part I. Petrology of basaltic lavas from the Snake River plain, Idaho and Part II. Experimental determination of partitioning of divalent cations between olivine and basaltic liquid. PhD dissertation, Geology, Univ Oregon
Levin EM, Robbins CR, McMurdie HF (1964) Phase diagrams for ceramists. American Ceramic Society, Colombus, Ohio
Longhi J, Pan V (1988) A reconnaisance study of phase boundaries in low-alkali basaltic liquids. J Petrol 29:115–147
Longhi J, Pan V (1989) The parent magmas of the SNC meteorites. Proc Lunar Planet Sci Conf 19:451–464
Longhi J, Walker D, Grove TL, Stolper EM, Hays JF (1974) The petrology of the Apollo 17 mare basalts. Proc Lunar Planet Sci Conf 5:447–469
Longhi J, Walker D, Hays JF (1978) The distribution of Fe and Mg between olivine and lunar basaltic liquids. Geochim Cosmochim Acta 42:1545–1558
Longhi J, Wooden JL, Pan V (1983) The petrology of high-Mg dikes from the Beartooth Mountains. Montana: a search for the parental magma of the Stillwater Complex. Proc Lunar Planet Conf, 14 Part I (J Geophys Res 88 Supplement):B53-B69
Luhr JF (1990) Experimental phase relations of water- and sulfur-saturated arc magmas and the 1982 eruptions of El Chichón volcano. J Petrol 31:1071–1114
Mahood GA, Baker DR (1986) Experimental constraints on depths of fractionation of midly alkalic basalts and associated felsic rocks: Pantelleria, Strait of Sicily. Contrib Mineral Petrol 93:251–264
Meen JK (1987) Formation of shoshonites from calcalkaline basalt magmas: geochemical and experimental constraints from the type locality. Contrib Mineral Petrol 97:333–351
Meen JK (1990) Elevation of potassium content of basaltic magma by fractional crystallization: the effect of pressure. Contrib Mineral Petrol 104:309–331
Morsc SA (1980) Basalts and phase diagrams. Springer, Heidelberg
Murck BW, Campbell IH (1986) The effects of temperature, oxygen fugacity and melt composition on the behavior of chromium in basic and ultrabasic melts. Geochim Cosmochim Acta 50:1871–1888
Murtagh BA, Saunders MA (1987) MINOS 5.1 User's Guide. Stanford Univ, Dept Operations Researc, Technical Report SOL 83 20R
Naney MT (1983) Phase equilibria of rock-forming ferromagnesian silicates in granitic systems. Am J Sci 283:993–1033
Navrotsky A, Ziegler D, Oestrike R, Maniar P (1989) Calorimetry of silicate melts at 1773 K: measurement of enthalpies of fusion and of mixing in the systems diopside-anorthite-albite and anorthite-forsterite. Contrib Mineral Petrol 101:122–130
Naylor BF, Cook OA (1946) High-temprature heat contents of metatitanates of calcium, iron, and magnesium. J Am Chem Soc 68:1003
Nicholls J (1980) A simple model for estimating the solubility of H2O in magmas. Contrib Mineral Petrol 74:211–220
Nielsen RL, Davidson PM, Grove TL (1988) Pyroxene-melt equilibria: an updated model. Contrib Mineral Petrol 100:361–373
Nielsen RJ, Forsythe LM, Gallahan WE, Fisk MR (1994) Major and trace element magnetite-melt equilibria. Chem Geol (in press)
Rhodes JM, Lofgren GE, Smith DP (1979) One atmosphere melting experiments on ilmenite basalt 12008. Proc Lunar Planet Sci Conf 5:407–422
Richet P, Bottinga Y, Denielou L, Petitet JP, Tequi C (1982) Thermodynamic properties of quartz, cristobalite and amorphous SiO2: drop calorimetry measurements between 1000 and 1800 K and a review from 0 to 2000 K. Geochim Cosmochim Acta 46:2639–2658
Richet P, Leclerc F, Benoist L (1993) Melting of forsterite and spinel, with implications for glass transition of Mg2SiO4 liquid. Geophys Res Letts 20:1675–1678
Robie RA, Hemingway BS, Fisher JR (1978) Thermodynamic properties of minerals and related substances at 298.15 K and 1 bar (105 Pascals) pressure and at higher temperature. US Geol Surv Bull 1452
Roeder PL (1974) Activity of iron and olivine solubility in basaltic liquids. Earth Planet Sci Lett 23:397–410
Roeder PL, Reynolds I (1991) Crystallization of chromite and chromium solubility in basaltic melts. J Petrol 32:909–934
Sack RO, Carmichael ISE (1984) Fe2+↔ Mg2+ and TiAl2/MgSi2 exchange reactions between clinopyroxenes and silicate melts. Contrib Mineral Petrol 85:103–115
Sack RO, Ghiorso MS (1989) Importance of considerations of mixing properties in establishing an internally consistent thermodynamic database: thermochemistry of minerals in the system Mg2SiO4-Fe2SiO4-SiO2. Contrib Mineral Petrol 102:41–68
Sack RO, Ghiorso MS (1991a) An internally consistent model for the thermodynamic properties of Fe-Mg-titanomagnetite-aluminate spinels. Contrib Mineral Petrol 106:474–505
Sack RO, Ghiorso MS (1991b) Chromian spinels as petrogenetic indicators: thermodynamics and petrological applications. Amer Mineral 76:827–847
Sack RO, Ghiorso MS (1994a) Thermodynamics of multicomponent pyroxenes: I. Formulation of a general model. Contrib Mineral Petrol 116:277–286
Sack RO, Ghiorso MS (1994b) Thermodynamics of multicomponent pyroxenes: II. Applications to phase relations in the quadrilateral. Contrib Mineral Petrol 116:287–300
Sack RO, Ghiorso MS (1994c) Thermodynamics of multicomponent pyroxenes: III. Calibration of Fe2+(Mg)−1, TiAl(MgSi)−1, TiFe3+(MgSi)−1, AlFc3+(MgSi)−1, NaAl(CaMg)−1, Al2(MgSi)−1 and Ca(Mg)−1 exchange reactions between pyroxenes and silicate melts. Contrib Mineral Petrol (in press)
Sack RO, Walker D, Carmichael ISE (1987) Experimental petrology of alkalic lavas: constraints on cotectics of multiple saturation in natural basic liquids. Contrib Mineral Petrol 96:1–23
Samsonov GV (1982) The Oxide handbook, 2nd edn. IFI/Plenum, New York
Seifert S, O'Neill HStC, Brey G (1988) The partitioning of Fe, Ni and Co between olivine, metal, and basaltic liquid: an experimental and thermodynamic investigation, with application to the composition of the lunar core. Geochim Cosmochim Acta 52:603–615
Sisson TW, Grove TL (1992a) Experimental investigations of the role of H2O in calc-alkaline differentiation and subduction zone magmatism. Contrib Mineral Petrol 113:143–166
Sisson TW, Grove TL (1992b) Temperatures and H2O contents of low-MgO high-alumina basalts. Contrib Mineral Petrol 113:143–166
Southard JC, Milner RT (1935) Low temperature specific heats. V. The heat capacity of tricalcium phosphate between 15 and 298°K. J Am Chem Soc 57:983–984
Stebbins JF, Carmichael ISE, Moret LK (1984) Heat capacities and entropies of silicate liquids and glasses. Contrib Mineral Petrol 86:131–148
Stephenson CC, Smith D (1968) Heat capacity of manganese titanate from 30° to 300°K. J Chem Phys 49:1814–1818
Stolper EM (1977) Experimental petrology of cucrite meteorites. Geochim Cosmochim Acta 41:587–611
Stolper EM (1980) A phase diagram for mid-ocean ridge basalts: preliminary results and implications for petrogenesis. Contrib Mineral Petrol 74:13–27
Stull DR, Prophet H (1971) JANAF Thermochemical tables, 2nd edn. Nat Stand Ref Data Ser Nat Bur Stand 37
Takahashi E (1980) Melting relations of an alkali-olivine basalt to 30 kbars, and their bearing on the origin of alkali basalt magmas. Carnegie Inst Washington Yearb 79:271–276
Takahashi E (1986) Melting of dry peridotite KLB-1 up to 14 GPa: implications on the origin of peridotitic upper mantle. J Geophys Res 91:9367–9382
Takahashi E, Kushiro I (1983) Melting of dry peridotite at high pressures and basalt magma genesis. Am Mineral 68:859–879
Thompson RN (1974) Primary basalts and magma genesis I. Contrib Mineral Petrol 45:317–345
Thompson RN (1975) Primary basalts and magma genesis II. Contrib Mineral Petrol 52:213–232
Tormey DR, Grove TL, Bryan WB (1987) Experimental petrology of normal MORB near the Kane Fracture Zone: 22°–25° N, mid-Atlantic ridge. Contrib Mineral Petrol 96:121–139
Treiman AH (1989) An alternate hypothesis for the origin of Angra dos Reis: porphyry, not cumulate. Proc Lunar Planet Sci Conf 9:443–450
Ussler III W, Glazner AF (1989) Phase equilibria along a basaltrhyolite mixing line: implications for the origin of calc-alkaline intermediate magma. Contrib Mineral Petrol 101:232–244
Walker D, Grove TL, Longhi J, Stolper EM, Hays JF (1973) Origin of lunar feldspathic rocks. Earth Planet Sci Lett 20:325–336
Walker D, Shibata T, DeLong SE (1979) Abyssal tholeiites from the Oceanographer fracture zone. II. Phase equilibrium and mixing. Contrib Mineral Petrol 70:111–125
Weast RC (ed.) (1972) Handbook of Chemistry and physics. The Chemical Rubber Company, Cleveland, Ohio [52nd edn]
Zhu C, Sverjensky DA (1991) Partitioning of F-Cl-OH between minerals and hydrothermal fluids. Geochim Cosmochim Acta 55:1837–1858
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Ghiorso, M.S., Sack, R.O. Chemical mass transfer in magmatic processes IV. A revised and internally consistent thermodynamic model for the interpolation and extrapolation of liquid-solid equilibria in magmatic systems at elevated temperatures and pressures. Contr. Mineral. and Petrol. 119, 197–212 (1995). https://doi.org/10.1007/BF00307281
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DOI: https://doi.org/10.1007/BF00307281