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Metamorphic Reactions

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Phase Transformation Reactions

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Solid-Solid Net Transfer Reaction NaAlSi 2 O 6 + SiO 2 = NaAlSi 3 O 8 Jd QtzAb dG = VdP – SdT dP = S dT = V Clapyron Equation

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Dehydration Reaction KAl 3 Si 3 O 10 (OH) 2 + SiO 2 = KAlSi 3 O 8 + Al 2 SiO 5 + H 2 O Ms Qtz Kfs Als Slope of reaction boundary determined by properties of fluid phase dP = S dT = V Most dehydration reaction boundaries subparallel

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Decarbonation Reactions CaCO 3 + SiO 2 = CaSiO 3 + CO 2 Parallelism of decarbonation reaction equilibrium boundaries in P-T space

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Decarbonation Versus Dehydration Reactions

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Theoretical Loop of Devolatilization Reactions At high enough pressures the fluid phase is so compressed that V Products < V Reactants dP = S dT = V Clapyron equation becomes negative

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Dehydration Reaction: Effect of P H 2 O < P Total Ln K = Ln f H 2 O ( f H 2 O = P H 2 O H 2 O ) Le Chatelier’s principle; lowering PH2OPH2O stabilizes products at the expense of reactants, displacing equilibrium boundary to lower temperature

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Temperature vs Mole Fraction of Fluid Species T-X H 2 O Diagram T-X CO 2 Diagram X CO 2 + X H 2 O = 1

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G T G T K A S G T A K S K S A T P3 P2 P1 P3 P2 P1 T (K) (A) (S) Energy-Temperature Diagrams: the Rules of Schreinemakers P1 P3 P2

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Rules of Schreinemakers 1.Label each reaction with the missing phase 2.Arrange reactions such that the label is stable where the reaction is metastable

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Application of Rules of Schreinemakers to 2-component system with 4 phases Note that there is one reaction for each phase in the system

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Application of Rules of Schreinemakers to 2-Component System with 5 phases

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An Example of a Petrogenetic Grid – the KMASH System for Pelites

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