Contributions to Mineralogy and Petrology

, Volume 115, Issue 1, pp 103–111 | Cite as

Olivine-melt and orthopyroxene-melt equilibria

  • Paul Beattie


The use of non-regular solution models for silicate melts allows saturation temperatures to be calculated with an accuracy of±10 K for Mg and Fe, olivine or orthopyroxene components; and±20 K for Mn, Co and Ni components. This accuracy is comparable to that of the temperature measurement in the experiments with which the models are calibrated. The errors in the temperature calculation are less than a third of those associated with a regular solution model of mineral-melt equilibria. The values of thermodynamic properties predicted by these empirical solution models are larger than those found calorimetrically, but provide a better fit to the existing experimental data. The calculation of thermochemical properties of olivine and orthopyroxene species in both the crystalline and melt phases allows the calculation of mineral-melt\(K_{D_M /{\text{Mg}}}^{\alpha /L} \)s; the values calculated are within one standard error of those reported in the literature. Eruption temperatures calculated from the composition of Hawaiian tholeiite glasses range from 1135 to 1185°C, and are comparable to measured lava temperatures. These temperatures are lower than those calculated for Atlantic MORB confirming that extensive fractional crystallisation has occurred.


Silicate Olivine Thermodynamic Property Solution Model Fractional Crystallisation 
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  1. Akella J, Williams RJ, Mullins O (1976) Solubility of Cr, Ti and Al in coexisting olivine, spinel and liquid at 1 atmosphere. Proc 7th Lunar Sci Conf, pp 1179–1194Google Scholar
  2. Arndt NT (1977) Partitioning of nickel between olivine and ultrabasic komatiitic liquids. Carnegie Inst Washington Yearb 76:553–557Google Scholar
  3. Beattie PD, Ford CE, Russell DG (1991) Partition coefficients for olivine-melt and orthopyroxene-melt systems. Contrib Mineral Petrol 109:212–224; see also erratum Contrib Mineral Petrol 114:288 (1993)Google Scholar
  4. Beattie PD, Drake M, Jones J, Leeman W, Longhi J, McKay G, Nielsen R, Palme H, Shaw D, Takahashi E, Watson EB (1993) Terminology for trace element partitioning. Geochim Cosmochim Acta 57:1605–1606Google Scholar
  5. Bender JF, Hodges FN, Bence AE (1978) Petrogenesis of basalts from the project FAMOUS area: experimental study from 0 to 15 kbar. Earth Planet Sci Lett 41:277–302Google Scholar
  6. Bevington PR (1969) Data reduction and error analysis for the physical sciences. McGraw-Hill, New YorkGoogle Scholar
  7. Bickle MJ, Ford CE, Nisbet EG (1977) The petrogenesis of peridotitic komatiites: evidence from high-pressure melting experiments. Earth Planet Sci Lett 37:97–106Google Scholar
  8. Biggar GM (1984) The composition of diopside solid solutions, and of liquids, in equilibrium with forsterite, plagioclase, and in remelted rocks from 1 bar to 12 kbar. Mineral Mag 48:481–494Google Scholar
  9. Biggar GM, O'Hara MJ, Peckett A, Humphries DJ (1971) Lunar lavas and the achondrites: petrogenesis of protohypersthene basalts in the maria lava lakes. Proc 2nd Lunar Sci Conf 617–643Google Scholar
  10. Bird ML (1971) Distribution of trace elements in olivine and pyroxenes, an experimental study. PhD thesis, Univ Missouri, RollaGoogle Scholar
  11. Birle JD, Gibbs GV, Moore PB, Smith JV (1968) Crystal structure of natural olivines. Am Mineral 53:807–824Google Scholar
  12. Boivin P (1980) Données expérimentales préliminaires sur la stabilité de la rhönite à 1 atmosphère: application aux gisements naturels. Bull Minéral 103:491–502Google Scholar
  13. Bottinga Y, Weill DF (1972) The viscosity of magmatic silicate liquid, a model for calculation. Am J Sci 272:438–475Google Scholar
  14. Bowen NL, Schairer JF (1935) The system MgO−FeO−SiO2. Am J Sci 29:151–217Google Scholar
  15. Colson RO, Gust D (1989) Effects of pressure on partitioning of trace elements between low-Ca pyroxene and melt. Am Mineral 74:31–36Google Scholar
  16. Colson RO, McKay GA, Taylor LA (1988) Temperature and composition dependencies of trace element partitioning: olivine/melt and low-Ca pyroxene/melt. Geochim Cosmochim Acta 52:539–553Google Scholar
  17. Dearing KM (1985) Low-calcium pyroxene-melt equilibria at 1 bar: an experimental study in natural systems. PhD thesis, Univ EdinburghGoogle Scholar
  18. Deines P, Nafziger RH, Ulmer GC, Woerman E (1974) Temperature-oxygen fugacity tables for selected gas mixtures in the system C−H−O at one atmosphere total pressure. Bull Earth Miner Sci Exp Stn 88. Pa State UnivGoogle Scholar
  19. Delano JW (1977) Experimental melting relations of 63545, 76015 and 76055. Proc 8th Lunar Sci Conf, pp 2097–2123Google Scholar
  20. Drake MJ (1976) Plagioclase-melt equilibria. Geochim Cosmochim Acta 42:679–683Google Scholar
  21. Drake MJ, Holloway JR (1981) Partitioning of Ni between olivine and silicate melt: the ‘Henry's Law problem’ reexamined. Geochim Cosmochim Acta 45:431–437Google Scholar
  22. Elthon D, Scarfe CM (1984) High-pressure phase equilibria of high magnesia basalts and the genesis of primary oceanic basalts. Am Mineral 69:1–15Google Scholar
  23. Garcia MO, Muenow DW, Aggrey KE (1989) Major element, volatile, and stable isotope geochemistry of Hawaiian submarine tholeiitic glasses. J Geophys Res 94 B8:10525–10538Google Scholar
  24. Ghiorso MS, Carmichael IS, 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 84:107–145Google Scholar
  25. Grove TL (1981) Use of PtFe alloys to eliminate the iron loss problem in 1 atmosphere gas mixing experiments: theoretical and practical considerations. Contrib Mineral Petrol 78:298–304Google Scholar
  26. Grove TL, Beaty DW (1980) Classification, experimental petrology and possible volcanic histories of Apollo 11 high-K basalts. Proc 11th Lunar Sci Conf, pp 149–177Google Scholar
  27. Grove TL, Bence AE (1977) Experimental petrology of pyroxene liquid interaction in quartz normative basalt 15 597. Proc 8th Lunar Sci Conf, pp 1549–1579Google Scholar
  28. 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 80:160–182Google Scholar
  29. Grove TL, Vaniman DT (1978) Experimental petrology of very low Ti (VLT) basalts. In: Merrill RB, Papike JJ (eds) Mare Crisium: the view from Luna 24. Pergamon, New YorkGoogle Scholar
  30. Grover JE, Lindsley DH, Bence AE (1980) Experimental phase relations of olivine vitrophyres from breccia 14321: the temperature and pressure dependence of Fe−Mg partitioning for olivine and liquid in a highland melt rock. Proc 11th Lunar Sci Conf, pp 179–196Google Scholar
  31. Hart SR, Davis KE (1978) Nickel partitioning between olivine and silicate melt. Earth Planet Sci Lett 40:203–219Google Scholar
  32. Holloway JR, Wood BJ (1988) Simulating the Earth: experimental geochemistry. Unwin Hyman, BostonGoogle Scholar
  33. Huebner JS, Lipin BR, Wiggins LB (1976) Partitioning of chromium between silicate crystals and melts. Proc 7th Lunar Sci Conf, pp 1195–1220Google Scholar
  34. Irving AJ, Merrill RB, Singleton DE (1978) Experimental partitioning of rare earth elements and scandium among armalcolite, ilmenite, olivine, and mare basalt liquid. Proc 9th Lunar Sci Conf, pp 601–612Google Scholar
  35. Killic A, Carmichael ISE, Rivers ML, Sack RO (1983) The ferricferrous ratio of natural silicate liquids equilibrated in air. Contrib Mineral Petrol 101:122–130Google Scholar
  36. Kinzler RJ, Grove TJ, Recca SI (1990) An experimental study on the effect of temperature and melt composition on the partitioning of nickel between olivine and silicate melt. Geochim Cosmochim Acta 54:1255–1265Google Scholar
  37. Leeman WP (1974) Petrology of basaltic lavas from the Snake River Plain, Idaho, and experimental determination of partitioning of divalent cations between olivine and basaltic liquids. Dissertation, Univ OregonGoogle Scholar
  38. Leeman WP, Lindstrom DJ (1978) Partitioning of Ni2+ between basaltic and synthetic melts and olivines—an experimental study. Geochim Cosmochim Acta 42:801–816Google Scholar
  39. Leeman WP, Scheidegger KF (1977) Olivine/liquid distribution coefficients and a test for crystal-liquid equilibrium. Earth Planet Sci Lett 35:247–257Google Scholar
  40. Leeman WP, Vitaliano CJ, Prinz M (1976) Evolved lavas from the Snake River Plain: Craters of the Moon National Monument, Idaho. Contrib Mineral Petrol 53:35–60Google Scholar
  41. Lindstrom DJ (1976) Experimental study of the partitioning of the transition metals between clinopyroxene and coexisting silicate liquids. Dissertation Univ OregonGoogle Scholar
  42. Lindstrom DJ, Weill DF (1978) Partitioning of transition elements between diopside and co-existing silicate liquids. Geochim Cosmochim Acta 42:817–832Google Scholar
  43. Longhi J, Walker D, Hays JF (1978) The distribution of Fe and Mg between olivine and lunar basaltic liquids. Geochim Cosmochim Acta 42:1545–1558Google Scholar
  44. McKay GA, Weill DF (1977) KREEP petrogenesis revisited. Proc 8th Lunar Sci Conf, pp 2339–2355Google Scholar
  45. Mah AD (1960) Thermodynamic properties of manganese and its compounds. US Bur Mines Rep Invest 5600Google Scholar
  46. Matsui Y, Nishizawa O (1974) Iron(II)-magnesium exchange equilibrium between olivine and calcium-free pyroxene over a temperature range 800°C to 1300°C. Bull Soc Fr Mineral Crystallogr 97:122–130Google Scholar
  47. Mysen BO, Virgo D, Kushiro I (1981) The structural role of aluminum in silicate melts—a Raman spectroscopic study at one atmosphere. Am Mineral 66:678–701Google Scholar
  48. Nabelek PI (1980) Nickel partitioning between olivine and liquid in natural basalts: Henry's Law behaviour. Earth Plenet Sci Lett 48:293–302Google Scholar
  49. Nafziger RH, Muan A (1967) Equilibrium phase compositions and thermodynamic properties of olivines and pyroxenes in the system MgO−“FeO”−SiO2. Am Mineral 52:1364–1385Google Scholar
  50. 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 101:122–130Google Scholar
  51. Nicholls J, Carmichael ISE (1972) The equilibrium temperature and pressure of various lava types with spinel- and garnet-peridotite. Am Mineral 57:941–959Google Scholar
  52. Nielsen RL (1985) A method for the elimination of the compositional dependence of trace element distribution coefficients. Geochim Cosmochim Acta 49:1775–1779Google Scholar
  53. Nielsen RL, Drake MJ (1979) Pyroxene-melt equilibria. Geochim Cosmochim Acta 43:1259–1273Google Scholar
  54. Nielsen RL, Dungan MA (1983) Low pressure mineral-melt equilibria in natural anhydrous systems. Contrib Mineral Petrol 84:310–326Google Scholar
  55. Peck DL (1978) Cooling and vesiculation of Alac lava lake, Hawaii. US Geol Surv Prof Pap 935-BGoogle Scholar
  56. Press WH, Flannery BP, Teukolsky SA, Vettering WT (1986) Numerical recipes. Cambridge University Press, UKGoogle Scholar
  57. Rhodes JM, Lofgren GE, Smith BP (1979) One atmosphere melting experiments on ilmentite basalt 12008. Proc 10th Lunar Sci Conf, pp 407–422Google Scholar
  58. Russell DG (1984) Experimental and petrological studies of phenocryst assemblages in Scottish Permo-Carboniferous basaltic rocks. PhD thesis, Univ EdinburghGoogle Scholar
  59. Sack RO, Walker D, Carmichael ISE (1987) Experimental petrology of the alkalic lavas: constraints on cotectics of multiple saturation in natural basic liquids. Contrib Mineral Petrol 96:1–23Google Scholar
  60. Schilling J-G, Sigurdsson H (1979) Thermal minima along the axis of the mid-Atlantic ridge. Nature 282:370–375Google Scholar
  61. Schilling J-G, Zajac M, Evans R, Johnston K, White W, Devine JD, Kingsley R (1983) Petrologic and geochemical variations along the mid-Atlantic ridge from 29°N to 73°N. Am J Sci 283:510–586Google Scholar
  62. Seifert S, O'Neill H St. C, 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 52:603–616Google Scholar
  63. Stebbins JF, Carmichael ISE (1984) The heat of fusion of fayalite. Am Mineral 69:292–297Google Scholar
  64. Stebbins JF, Carmichael ISE (1989) The heat of fusion of fayalite: assessment of oxidation in calorimetric measurements. Eos Trans Am Geophys Union 62:1069Google Scholar
  65. Stolper E (1977) Experimental petrology of eucrite meteorites. Geochim Cosmochim Acta 41:587–611Google Scholar
  66. Stolper E (1980) A phase diagram for mid-ocean ridge basalts: preliminary results and implications for petrogenesis. Contrib Mineral Petrol 74:13–27Google Scholar
  67. Takahashi E (1978) Partitioning of Ni2+, Co2+, Fe2+, Mn2+ and Mg2+ between olivine and silicate melts: compositional dependence of partition coefficient. Geochim Cosmochim Acta 42:1829–1844Google Scholar
  68. Takahashi E (1980) Melting relations of alkali-olivine basalt to 30 kbar and their bearing on the origin of alkali basalt magmas. Carnegie Inst Yearb Washington 79:271–276Google Scholar
  69. Toop GW, Samis CS (1962) Activities of ions in silicate melts. Trans Metall Soc AIME 224:878–887Google Scholar
  70. 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 96:121–139Google Scholar
  71. Walker D, Kirkpatrick RJ, Longhi J, Hays JF (1976) Crystallisation history of lunar picritic basalt sample 12002: phase-equilibria and cooling-rate studies. Geol Soc Am Bull 87:646–656Google Scholar
  72. Walker D, Shibata J, DeLong SE (1979) Abyssal tholeiites from the Oceanographer fracture zone. Contrib Mineral Petrol 70:111–125Google Scholar
  73. Watson EB (1977) Partitioning of manganese between forsterite and silicate liquids. Geochim Cosmochim Acta 41:1363–1374Google Scholar
  74. Watson EB (1979) Calcium content of forsterite coexisting with silicate liquid in the system Na2O−CaO−MgO−Al2O3−SiO2. Am Mineral 64:824–829Google Scholar
  75. Watson S, McKenzie DP (1991) Melt generation by plumes: a study of Hawaiian Volcanism. J Petrol 32:501–537Google Scholar
  76. 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 6th Lunar Sci Conf, pp 1143–1158Google Scholar
  77. Wiser NM, Wood BJ (1991) Experimental determination of activities in Fe−Mg olivine at 1400 K. Contrib Mineral Petrol 108:146–153Google Scholar
  78. Wood BJ (1987) Thermodynamics of multicomponent systems containing several solid solutions. Rev Mineral 17:71–94Google Scholar
  79. Wright TL, Peck DL (1978) Crystallization and differentiation of the Alae magma, Alae lava lake, Hawaii. US Geol Surv Prof Pap 935-BGoogle Scholar
  80. Wright TL, Okamura RT (1977) Cooling and crystallization of tholeiitic basalt, 1965 Makaopuhi lava lake, Hawaii. US Geol Surv Prof Pap 1004Google Scholar

Copyright information

© Springer-Verlag 1993

Authors and Affiliations

  • Paul Beattie
    • 1
  1. 1.Department of Earth SciencesUniversity of CambridgeCambridgeUK

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