Abstract

The Gibbs method is a technique to apply the change in mineral composition, which is preserved as compositional zoning, to decipher the pressure temperature path of metamorphic rocks. This method involves deriving a system of equations composed of a Gibbs-Duhem equa tion for each phase, stoichiometrical relations among the chemical potentials of phase components, and relationship between compositional term, dX, and other intensive variables. To solve these equations random mixing of substitution and constant molar entropy and volume are assumed. The continuous pressure-temperature path during garnet growth can be inferred by choosing garnet composition as monitor parameters.

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