Calculation of trace element fractionation during partial melting

Hertogen, Jan; Gijbels, R.

doi:10.1016/0016-7037(76)90209-x

Cited by 95 publications

(19 citation statements)

References 24 publications

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“…Equations used in both partial melting and crystal fractionation are presented in Wood and Fraser (1976), Hanson (1978), Hertogen and Gijbels (1976), and Arth (1976). Major element fractional crystallization is after Wright and Doherty (1970).…”

Section: Petrogenetic Modelsmentioning

confidence: 99%

Geochemistry and evolution of the early Proterozoic, post-Penokean rhyolites, granites, and related rocks of south-central Wisconsin, U.S.A.

Smith

1983

Early Proterozoic Geology of the Great Lakes Region

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Four chemically and mineralogically distinct rock suites formed in south-centralWisconsin during a major anorogenic intrusive-extrusive event 1.76 b.y. ago. This anorogenic event followed by at least 60 m.y. the terminal calc-alkalic plutonism and volcanism of the Penokean orogeny. The 1.76-b.y.-old rocks may represent the only surface expression in the Lake Superior area of a 1.69 to 1.78-b.y.-old felsic terrain that can be traced in the subsurface from Wisconsin into northern Illinois and possibly as far as western Arizona. The magma types formed during the anorogenic event are (1) a peraluminous suite of texturally variable ash-flow tuffs; (2) a metaluminous suite containing quartz-and orthoclase-bearing rhyolites and closely associated granophyric granites; (3) a suite of low Si(>2, high Sr, and REE depleted granites at Baxter Hollow and chemically similar rhyolite dikes on Observatory Hill and at Marquette (Baxter Hollow suite); and (4) a suite containing a diorite intrusion and numerous dikes of tholeiitic basalt and andesite (Denzer suite).Major and trace element modeling studies suggest the following scenario for the formation of these post-Penokean rocks. The peraluminous and metaluminous suites were probably derived by partial melting (16%) of different crustal sources of tonalitic composition having slightly different residue mineralogies. These source rocks may have formed earlier by igneous activity related to the Penokean orogeny. Compositional variation within the two suites may be related to feldspar-dominated fractional crystallization. The Baxter Hollow suite was probably generated by largescale (66%) partial melting of a crustal source of dioritic composition. Heat for such a major melting episode may have been provided by magma of the Denzer suite rising from a mantle source. Modeling studies suggest that 10% melting of either garnet peridotite, or eclogite will provide liquid of the composition of the Denzer suite. Fractional crystallization is most probably responsible for the chemical variation observed within both the Denzer and Baxter Hollow suites.

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Section: Petrogenetic Modelsmentioning

confidence: 99%

Geochemistry and evolution of the early Proterozoic, post-Penokean rhyolites, granites, and related rocks of south-central Wisconsin, U.S.A.

Smith

1983

Early Proterozoic Geology of the Great Lakes Region

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“…The results of those investigations afforded a basis for many discussions on the abundance patterns in the partial melting products (for example, GAST, 1968;GRIFFIN and MURTHY , 1969;HERTOGEN and GIJBELS, 1976) and on the abundance changes accompanying the proceed ing of fractional crystallization (among others , ZIELINSKI and FREY, 1970;EWART et al ., 1973;DRAKE, 1976).…”

Section: Introductionmentioning

confidence: 99%

Search for chemical effect on partitioning of rare-earth elements in the crystallization process of basaltic systems at 20kb, with some applications.

1977

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Employing two kinds of basalts, i.e., alkali olivine basalt and high-alumina basalt , the partitioning of REE was investigated for partial crystallization at 20kb. Even with the same alkali olivine basalt , the peak-shaped and the terrace-shaped partition coefficient functions were obtained, although both of them belong to a major "rectilinear" partition coefficient group. This difference in the shape appears to be associated with the relative content of Ca to Mg and Fe in crystal phase.Meanwhile, use of a high-Al basalt yielded a new partition coefficient function (schanze-shaped) quite distinct from rectilinear functions and their varieties. Intriguingly, addition of MgO (5%) to the high-Al basalt powder (95%) brought about a drastic change of partition coefficient function , resulting in the terrace-shaped one. It is evinced that the higher values of atomic ratios , Al/(Mg+Fe+Ca) and Si/(Mg+Fe+Ca), in the starting material are favorable to the appearance of schanze-shaped partition coefficient function.Besides, REE in island arc tholeiite from New Britain were accurately determined . REE abundances in this sample have demonstrated to imply that this basalt has a history of temporary separation from melt with 6 8 times chondritic REE abundances through the regulation of the terrace-shaped partition coefficient function. It was also attempted to use the schanze-shaped partition coefficient function in order to explain the genesis of felsic potassic basalt (KAY and GAST , 1973) based on two-stage fractional crystallization model. The REE pattern of the material removed during the second stage was calculated together with the "liquid-type" pattern corresponding to the switching point between two stages in question.

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“…Quantitative models to constrain partial melting and crystallisation in the interiors of the Earth and other rocky planetary bodies (e.g., Neumann et al 1954;Gast 1968;Shaw 1970;Allègre and Minster 1978;Zou and Reid 2001) all require mineralmelt partition coefficients D (where D is the concentration ratio between mineral and melt, following the terminology of Beattie et al 1993) as input parameters. Although they are often assumed to be constant, D's are thermodynamic variables, changing as a function of pressure, temperature, and composition (e.g., Hertogen and Gijbels 1976;Beattie 1994;Wood 1994, 2003a, b;Blundy 2001, 2002;Gaetani 2004;Mysen 2004;Prowatke and Klemme 2005).…”

Section: Introductionmentioning

confidence: 99%

Quantifying garnet-melt trace element partitioning using lattice-strain theory: new crystal-chemical and thermodynamic constraints

Westrenen

Draper

2007

Contrib Mineral Petrol

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Many geochemical models of major igneous differentiation events on the Earth, the Moon, and Mars invoke the presence of garnet or its high-pressure majoritic equivalent as a residual phase, based on its ability to fractionate critical trace element pairs (Lu/Hf, U/Th, heavy REE/light REE). As a result, quantitative descriptions of mid-ocean ridge and hot spot magmatism, and lunar, martian, and terrestrial magma oceans require knowledge of garnet-melt partition coefficients over a wide range of conditions. In this contribution, we present new crystalchemical and thermodynamic constraints on the partitioning of rare earth elements (REE), Y and Sc between garnet and anhydrous silicate melt as a function of pressure (P), temperature (T), and composition (X). Our approach is based on the interpretation of experimentally determined values of partition coefficients D using lattice-strain theory. In this and a companion paper (Draper and van Westrenen this issue) we derive new predictive equations for the ideal ionic radius of the dodecahedral garnet X-site, r 0 (3+), its apparent Young's modulus E X (3+), and the strain-free partition coefficient D 0 (3+) for a fictive REE element J of ionic radius r 0 (3+). The new calibrations remedy several shortcomings of earlier lattice-strain based attempts to model garnet-melt partitioning. A hitherto irresolvable temperature effect on r 0 (3+) is identified, as is a pronounced decrease in E X (3+) as Al on the garnet Y site is progressively replaced by quadruvalent cations (Si, Ti) as pressure and garnet majorite content increase. D 0 (3+) can be linked to the free energy of fusion of a hypothetical rareearth garnet component JFe 2 Al 3 Si 2 O 12 through simple activity-composition relations. By combining the three lattice-strain parameter models, garnet-anhydrous melt and majorite-anhydrous melt D values for the REE, Y and Sc can be predicted from P, T, garnet major element composition, and melt iron content at pressures from 2.5-25 GPa and temperatures up to 2,573 K, covering virtually the entire P-T range over which igneous garnets are stable in solar system compositions. Standard deviations of the difference between predicted and observed D REE,Y,Sc range from 25% for Er to 70% for Ce, and are not correlated with trace element mass. The maximum error in D prediction (n > 300) is 218% for one measurement of D Dy . This is remarkably low considering the total spread in D values of over four orders of magnitude.

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Calculation of trace element fractionation during partial melting

Cited by 95 publications

References 24 publications

Geochemistry and evolution of the early Proterozoic, post-Penokean rhyolites, granites, and related rocks of south-central Wisconsin, U.S.A.

Geochemistry and evolution of the early Proterozoic, post-Penokean rhyolites, granites, and related rocks of south-central Wisconsin, U.S.A.

Search for chemical effect on partitioning of rare-earth elements in the crystallization process of basaltic systems at 20kb, with some applications.

Quantifying garnet-melt trace element partitioning using lattice-strain theory: new crystal-chemical and thermodynamic constraints

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