Abstract
Low pressure phase equilibria for natural mafic systems may be calculated utilizing empirically derived single component distribution coefficients and the constraints placed upon mineral-melt equilibria by stoichiometry and mass balance, without any knowledge of thermochemical properties of melts (Langmuir and Hanson 1981). Variations in distribution coefficients caused by differences in melt composition may be largely eliminated by the application of a two-lattice melt model based upon the models of Nielsen and Drake (1979), Drake (1976b), and Bottinga and Weill (1972). In the two-lattice melt model, the melt is assumed to be made up of two independent quasi-lattices, the network formers, composed of the components SiO2, NaAlO2, and KAlO2, and the network modifiers, composed of the free oxides of Ca, Mg, Fe, Al, Ti, and Cr.
Compositionally independent mineral-melt distribution coefficients were calculated for all the major and some minor components in olivine, plagioclase, high-Ca pyroxene, low-Ca pyroxene, spinel, and ilmenite. Regression constants were calculated from data from 1 atmosphere, anhydrous, equilibrium experiments on natural and synthetic mafic compositions including data obtained from the literature and from new synthetic spinel-melt experiments in the Fo-Ab-An system doped with Ti, Mn, Ni, and Fe. The distribution coefficients are internally consistent within 3 mole % (1σ) for all components. The effects of variable oxygen fugacity on mafic mineral-melt equilibria were calculated utilizing the relations of Sack et al. (1980) for the determination of the Fe+3/Fe+2 ratio, and the results of Schreiber and Haskin (1976) for Cr+3/Cr+2.
A computer program, EQUIL.FOR, incorporating the derived mineral-melt distribution coefficients, calculates the sequence of mineral and melt compositions, and liquidus temperatures for mafic melt compositions undergoing equilibrium or fractional crystallization. This program reproduces, within 15° C, 52 experimentally determined crystallization sequences collected from the literature. These published crystallization sequences are for mafic systems not represented in the data set used to calculate the mineral-melt distribution coefficients.
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References
Akella JR, Williams RJ, Mullins O (1976) Solubility of Cr, Ti and Al in co-existing olivine, spinel and liquid at 1 atm. Proc Lunar Sci Conf 7th:1179–1194
Aragon R, McCallister RH (1982) Phase and point defect equilibria in the titanomagnetite solid solution. Phys Chem Minerals 8:112–120
Arnt NT (1977) The partitioning of Ni between olivine and ultrabasic and basic komatiite liquids. Carniegie Inst. Washington Year b 76:553–557
Baker MB, Lofgren GE (1981) Dynamic crystallization study of an alkali olivine basalt. Geol Soc Am abstracts with programs 13 #7:401
Bancroft GM, Brown JR (1975) A Mössbauer study of coexisting hornblendes and biotites: Quantitative Fe+3/Fe+2 ratios. Am Mineral 60:265–272
Bender JR, Hodges FN, Bence AE (1978) Petrogenesis of basalts from the project FAMOUS area: Experimental study from 0 to 15 kbars. Earth Planet Sci Lett 41:277–302
Biggar GM, O'Hara MJ, Peckett H, Humphries DJ (1971) Lunar lavas and the achondrites: Petrogenesis of protohypersthene basalts in the Maria lava lakes. Proc Lunar Sci Conf. 2nd:617–643
Bleil U (1971) Cation distribution in titanomagnetites. Z Geophys 37:305–319
Bleil U (1976) An experimental study of the titanomagnetite solid solution series. Pure Appl Geophys 114:165–175
Bottinga Y, Weill DF (1972) The viscosity of magmatic silicate liquid, a model for calculation. Am J Sci 272:438–475
Burnham CW (1975) Water and Magmas: A mixing model. Geochim Cosmochim Acta 39:1077–1084
Dickenson MP, Hess PC (1981) Redox equilibria and the structural role of iron in aluminosilicate melts. Contrib Mineral Petrol. 78:352–357
Dickenson MP, Hess PC (1982) Fe redox equilibria in SiO2-Al2O3-K2O-CaO melts. EOS 63 #18:466
Donaldson CH, Usselman TM, Williams RJ, Lofgren GE (1975) Experimental modeling of the cooling history of Apollo 12 olivine basalts. Proc Lunar Sci Conf 6th:843–869
Drake MJ (1976a) Evolution of major mineral compositions and trace element abundances during fractional crystallization of model lunar composition. Geochim Cosmochim Acta 40:401–411
Drake MJ (1976b) Plagioclase-melt equilibria. Geochim Cosmochim Acta 40:457–466
Drake MJ, Holloway JR (1981) Partitioning of Ni between olivine and silicate melt: the Henry's law problem re-examined. Geochim Cosmochim Acta 45:431–437
Dungan MA, Long PE, Rhodes JM (1978) The petrography, mineral chemistry and one atmosphere phase relations of basalts from site 395. In: Dmitriev L (ed) Initial Reports of the Deep Sea Drilling Project, Leg 45. U.S. Government Printing Office, Washington, D.C. pp 461–477
Engi M (1980) The solid solution behavior of olivine in the temperature range from 500 to 1,500K. Geol Soc Am abstracts with programs 12 #7:421
Fisk MR, Schilling JG, Sigurdsson H (1980) An experimental investigation of Iceland and Reykjanes Ridge tholeiites. I Phase relations. Contrib Mineral Petrol 74:361–374
French WJ (1971) The correlation between “anhydrous” crystallization temperatures and rock composition. Contrib Mineral Petrol 31:154–158
French WJ, Cameron EP (1981) Calculation of the temperature of crystallization of silicates from basaltic melts. Mineral Mag 44:19–26
Gamble RP, Taylor LA (1980) Crystal/liquid partitioning in augite: effects of cooling rate. Earth Planet Sci Lett 47:20–33
Ghiorso MS (1981) A thermodynamic appraisal of experimental solid-liquid phase equilibria in natural silicate systems. Geol Soc Am Abstracts with Programs 13 #7:458
Ghiorso MS, Carmichael ISE (1980) Regular solution model for meta-aluminous silicate liquids: Applications to geothermometry, immiscibility and the source regions of basic magmas. Contrib Mineral Petrol 71:323–342
Goodenough JB, Loeb AL (1955) Theory of ionic ordering, crystal distortion, and magnetic exchange due to covalent forces in spinels. Phys Rev 98:391–408
Grove TL, Bence AE (1977) Experimental study of pyroxeneliquid interaction in quartz normative basalt 15597. Proc Lunar Sci Conf 8th:1549–1579
Grove TL, Bence AE (1979) Crystallization kinetics in a multiply saturated basalt magma: An experimental study of Luna 24 ferro-basalt. Proc Lunar Planet Sci Conf 10th:439–478
Grove TL, Gerlach DC, Sando TW (1982) Origin of Calcalkaline series lavas at Medicine Lake Volcano by fractionation, assimilation and mixing. Contrib Mineral Petrol 80:160–182
Hart SR, Davis KE (1978) Nickel partitioning between olivine and silicate melt. Earth Planet Sci Lett 40:203–219
Henry DJ, Navrotsky A, Zimmerman HD (1982) Thermodynamics of plagioclase-melt equilibria in the system albiteanorthite-diopside. Geochim Cosmochim Acta 46:381–391
Hess PC (1971) Polymer model of silicate melts. Geochim Cosmochim Acta 35:289–306
Hess PC (1979) Polymerization model for silicate melts. InPhysics of Magmatic Processes. R.B. Hargreaves ed. Princeton Univ. Press
Hill R, Roeder P (1974) The crystallization of spinel from a basaltic liquid as a function of oxygen fugacity. J Geol 82:709–729
Ho CO (1973) Experimental study of plagioclase/liquid and clinopyroxene/liquid distribution coefficients for Sr and Eu in oceanic ridge basalt systems. Master's Thesis, Lamont-Doherty Geological Observatory, Columbia University
Hoover JD (1978) Melting relations of a new chilled margin sample from the Skaergaard Intrusion. Carnegie Inst Washington Yearbook 77:739–743
Hostetler CJ, Drake MJ (1980) Predicting major element mineral-melt equilibria: a statistical approach. J Geophys Res 85 B 7:3789–3996
Huebner JS (1975) Origin of the SiO2 variation of mare basalt melts. Lunar Sci VI:411–413
Huebner JS, Lipin BR, Wiggins LB (1976) Partitioning of chrome between silicate crystal and melts. Proc Lunar Sci Conf 7th:1195–1220
Irving AJ, Merrill RB, Singleton DE (1978) Experimental partitioning of rare earth elements and scandium among armal colite, ilmenite, olivine and mare basalt liquid. Proc Lunar Sci Conf 9th:601–612
Kerrick D, Darken J (1975) Statistical thermodynamic models for ideal oxide and silicate solid solutions with applications to plagioclase. Geochim Cosmochim Acta 39:1431–1442
Kudo AM, Weill DF (1970) An igneous plagioclase thermometer. Contrib Mineral Petrol 25:52–65
Langmuir CH, Hanson GN (1981) Calculating mineral-melt equilibria with stoichiometry, mass balance and single component distribution coefficients. In: Newton RC, Navrotsky A, and Wood BJ (eds). Advances in Physical Geochemistry. v. 1: Thermodynamics of Minerals and Melts. Springer-Verlag, Berlin Heidelberg New York
Langmuir CH, Weaver JS (1982) A general method of calculating phase equilibria applied to complex crystallization processes in oceanic basalts. EOS 63, #8:475
Leeman WP (1974) Experimental determinations of partitioning of divalent cations between olivine and basaltic liquid. Ph.D. Thesis, University of Oregon, Eugene
Leeman WP, Lindstrom DJ (1978) Partitioning of Ni+2 between basaltic and synthetic melts and olivine-An experimental study. Geochim Cosmochim Acta 42:801–816
Lesher CE, Walker D, Candela P, Hays JF (1982) Soret fractionation of natural silicate melts of intermediate to silicic composition. Geol Soc Am abstracts with programs 14 #7:545
Lindsley DH (1976) Experimental studies of oxide minerals. In: Oxide Minerals, Southern Printing Co. 1–84
Lindstrom DJ (1976) Experimental study of the partition of the transition metals between clinopyroxenes and co-existing silicate liquids. Ph.D. Thesis, University of Oregon, Eugene: 188
Lindstrom DJ, Weill DF (1978) Partitioning of transition elements between diopside and co-existing silicate liquids. Geochim Cosmochim Acta 42:817–832
Longhi J, Walker D, Grove TL, Stolper EM, Hays J (1974) The petrology of the Apollo 17 basalts. Proc Lunar Sci Conf 5th: 447–469
Longhi J, Walker D, Hays DF (1978) The distribution of Fe and Mg between olivine and lunar basaltic liquids. Geochim Cosmochim Acta 42:1545–1558
Longhi J, Dunn T (1980) Phase relations in the system forsterite-diopside-anorthite-silica: A new look at an old system. Geol Soc Am abstracts with programs 12 #7:473
Mathez EA (1973) Refinement of the Kudo-Weill plagioclase geothermometer and its application to basaltic rocks. Contrib Mineral Petrol 41:61–72
Mozzi RL, Paladino AE (1963) Cation distribution in non-stoichiometric magnesium ferrite. J Chem Phys 39 #2:435–440
Muan A, Hauck J, Lofall T (1972) Equilibrium studies with a bearing on lunar rocks. Proc Lunar Sci Conf 3rd: 185–196
Muller O, Roy R (1974) The major ternary structural families. Springer-Verlag, Berlin Heidelberg New York
Myers JD, Marsh BD (1981) Geology and petrogenesis of the Edgecumbe volcanic field, S.E. Alaska: The interaction of basalt and silicic crust. Contrib Mineral Petrol 77:272–287
Mysen BO, Ryerson FJ, Virgo D (1980) The influence of TiO2 on the structure and derivative properties of silicate melts. Am Mineral 65:1150–1165
Mysen BO, Virgo D (1980) Trace element partitioning and melt structure: An experimental study at 1 atm. pressure. Geochim Cosmochim Acta 44:1917–1930
Nathan HD, Van Kirk CK (1978) A model of magmatic crystallization. J Petrol 19:66–94
Navrotsky A, Hon R, Weill DF, Henry DJ (1980) Thermochemistry of glasses and liquids in the systems CaMgSi2O6-CaAl2Si2O8-NaAlSi3O8, SiO2-CaAl2Si2O8-NaAlSi3O8, and SiO2-Al2O3-CaO-Na2O. Geochim Cosmochim Acta 44:1409–1423
Newton RC, Charlu TV, Kleppa OJ (1980) Thermochemistry of the high structural state plagioclase. Geochim Cosmochim Acta 44:933–941
Nielsen RL, Drake MJ (1979) Pyroxene-melt equilibria. Geochim Cosmochim Acta 43:1259–1273
Nover G, Wills G (1981) Structure refinements of several natural olivine crystals and the influence of the oxygen partial pressure on the cation distribution. Z Kristal 155:27–45
O'Hara MJ, Biggar GM, Hill PG, Jefferies B, Humphries DG (1974) Plagioclase saturation in lunar high Ti basalt. Earth Planet Sci Lett 21:253–264
O'Reilly W, Banerjee SK (1967) The mechanism of oxidation in titanomagnetites: A magnetic study. Mineral Mag 36:29–37
Price GD, Price IL, Burdett JK (1982) The factors influencing cation site preferences in spinels: A new Medelevian approach. Phys Chem Minerals 8:69–76
Rhodes JM, Blanchard DP, Dungan MA, Rodgers KV, Brannon JC (1978) 19. Chemistry of leg 45 basalts. Initial reports of the Deep Sea Drilling Project Leg 45: U.S. Government Printing Office, Washington, D.C. pp 447–459
Rhodes JM, Lofgren GE, Smith DP (1979) One atmosphere melting experiments on ilmenite basalt 12008. Proc Lunar Planet Sci Conf 10th:407–422
Riebling EF (1964) Structure of magnesian alumnosilicate liquids at 1,700° C. Can J Chem 42:2811–2821
Roeder PL (1974) Activity of iron and olivine solubility in basaltic liquids. Earth Planet Sci Lett 23:397–410
Roeder PL (1975) Thermodynamics of element distribution in experimental mafic silicate liquid systems. Fortschrit Mineral 52:16–73
Roeder PL, Emslie RF (1970) Olivine-liquid equilibrium. Contrib Mineral Petrol 29:275–289
Rossin R, Berson J, Urbain G (1964) Etude de la viscosite de laiters liquides appatenant au systeme ternaire SiO2-Al2O3-CaO. Hautes Temperatures et Refractaures 1:159–170
Sack RO (1982) Spinels as petrogenetic indicators: Activity-composition relations at low pressures. Contrib Mineral Petrol 79:169–186
Sack RO, Carmichael ISE, Rivers M, Ghiorso MS (1980) Ferric ferrous equilibria in natural silicate liquids at 1 bar. Contrib Mineral Petrol 75:369–376
Saxena SK (1976) Two pyroxene geothermometer, a model with an approximate solution. Am Mineral 61:643–652
Schreiber HD, Haskin LA (1976) Chromium in basalts: Experimental determinations of redox states and partitioning among synthetic silicate phases. Proc Lunar Sci Conf 7th:1221–1259
Schairer JF, Bowen NL (1956) The system Na2O-Al2O3-SiO2. Am J Sci 254:129–195
Shinno I (1981) A Mössbauer study of ferric iron in olivine. Phys Chem Minerals 7:91–95
Stanin FT, Taylor LA (1979) Armalcolite/ilmenite: Mineral chemistry, paragenesis and origin of textures. Proc Lunar Planet Sci Conf 10th:383–405
Stephenson A (1969) The temperature dependent cation distribution in titanomagnetites. Royal Astron Soc J Geophys 18:199–210
Takahashi E (1978) Partitioning of Ni+2, Co+2, Fe+2, Mn+2 and Mg+2 between olivine and silicate melts: Compositional dependence of partition coefficients. Geochim Cosmochim Acta 42:1829–1844
Thompson RN, Tilley CE (1969) Melting and crystallization relations of Kilauean basalts of Hawaii. The lavas of the 1959–1960 Killauea eruption. Earth Planet Sci Lett 5:469–477
Tilley CE, Thompson RN (1970) Melting and crystallization relations of the Snake River basalts of southern Idaho, U.S.A. Earth Planet Sci Lett 8:79–92
Tilley EC, Yoder HS, Schairer JF (1966) New relation on melting of basalts, Carnegie Inst Washington Yearbook 65:92–97
Toop WS, Samis R (1962) Activities of ions in silicate melts. Trans Metall Soc AIME 224:878–887
Turnock AC, Eugster HP (1962) Fe-Al oxides: phase relationship below 1,500° C. J Petrol 3:533–565
Virgo D, Hafner SS (1972) Temperature dependent Mg, Fe distribution in a lunar olivine, Earth Planet Sci Lett 14:305–312
Waff HS (1977) The structural role of ferric iron in silicate melts. Can Mineral 15:198–199
Waff HS, Weill DF (1975) Electrical conductivity of magmatic liquids effects of temperatures, oxygen fugacity and composition. Earth Planet Sci Lett 28:244–260
Walker D (1981) Crystal-liquid and Soret diffusive separation of silicate liquid species. EOS 62 #18:426
Walker D, Kirkpatrick RJ, Longhi J, Hays JF (1976) Crystallization history of lunar picritic basalt sample 12002: Phase equilibria and cooling rate studies. Geo Soc Am Bull 87:646–656
Walker D, Shibata T, Delong DE (1979) Abyssal tholeiites from the Oceanographer Fracture Zone. Contrib Mineral Petrol 70:111–125
Watson EB (1977) Partitioning of manganese between forsterite and silicate liquid. Geochim Cosmochim Acta 41:1363–1374
Weill DF, McKay GA (1975) The partitioning of Mg, Fe, Sr, Ce, Sm, Eu and Yb in lunar igneous systems and a possible origin of KREEP by equilibrium partial melting. Proc Lunar Sci Conf 6th:1143–1150
Williams RL, Mullins O (1976) A system using solid ceramic oxygen electrolyte cells to measure oxygen fugacities in gas mixing systems.NASA TMX 58167
Wood BJ, Banno S (1973) Garnet-orthopyroxene and orthopyroxene-clinopyroxene relationships in simple and complex systems. Contrib Mineral Petrol 42:109–124
Wood MI, Hess PC (1980) The structural role of Al2O3 and TiO2 in immiscible silicate liquids in the system SiO2-MgO-CaO-FeO-TiO2-Al2O3. Contrib Mineral Petrol 72:319–328
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Nielsen, R.L., Dungan, M.A. Low pressure mineral-melt equilibria in natural anhydrous mafic systems. Contr. Mineral. and Petrol. 84, 310–326 (1983). https://doi.org/10.1007/BF01160284
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DOI: https://doi.org/10.1007/BF01160284