Experimental determination of cation diffusivities in aluminosilicate garnets - II. Multicomponent simulation and tracer diffusion coefficients

Timothy P. Loomis, Jibamitra Ganguly, Stephen C. Elphick

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105 Scopus citations

Abstract

Data from experimentally-induced diffusion profiles at approximately 40 Kbar, 1,300-1,500° C in spessartine-almandine couples and a pyrope-almandine couple at ∼ 40 Kbar, 1,440° C, described in Part I, were used to derive tracer diffusion coefficients (D*) of Fe, Mn and Mg in garnet. The experimental data were fitted by numerical simulations that model multicomponent, compositionally-dependent difussion, including the effects of nonideal thermodynamic mixing. The simulations use the formalism of irreversible thermodynamics and an eigenvector technique of solution. We were able to fit the asymmetrical spessartine-almandine profiles using constant D* and either the Darken/Hartley-Crank or Manning-Lasaga models relating D* and interdiffusion coefficients, and both models yielded DMg*consistent with the direct measurement of DMg*in by Cygan and Lasaga (1985) at lower temperatures (750-900° C). The results (equations 4.1-4.3 and Table 1) indicate that DFe*≅DMg*<DMn*and QFe≅QMg>QMn, where Q is the activation energy. In contrast, the asymmetry of pyrope-almandine profiles is too great to fit with either tracer model assuming constant D* and indicates that DMg*is similar to its value in spessartine-almandine couples but DFe*is an order of magnitude less. The fit also suggests that DCa*< DFe*<DMg*in pyrope-almandine couples. Synthesis of data from the two types of diffusion couples suggests that DMg*is insensitive to compositional changes, whereas DFe*is affected by Mn/Mg and Fe/Mg ratios and probably by other factors. These compositional effects on tracer coefficients are compatible with those documented by Morioka (1983) for cation diffusion in olivine.

Original languageEnglish (US)
Pages (from-to)45-51
Number of pages7
JournalContributions to Mineralogy and Petrology
Volume90
Issue number1
DOIs
StatePublished - Jun 1 1985

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology

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