Solid-Solid Net Transfer Reaction Na. Al. Si 2 O 6 + Si. O 2 = Na. Al. Si 3 O 8 Jd Qtz Ab Clapyron Equation d. G = Vd. P – Sd. T d. P = S d. T = V
Dehydration Reaction KAl 3 Si 3 O 10(OH)2 + Si. O 2 = KAl. Si 3 O 8 + Al 2 Si. O 5 + H 2 O Ms Qtz Kfs Als Slope of reaction boundary determined by properties of fluid phase d. P = S d. T = V Most dehydration reaction boundaries subparallel
Decarbonation Reactions Ca. CO 3 + Si. O 2 = Ca. Si. O 3 + CO 2 Parallelism of decarbonation reaction equilibrium boundaries in P-T space
Decarbonation Versus Dehydration Reactions
Theoretical Loop of Devolatilization Reactions At high enough pressures the fluid phase is so compressed that VProducts < VReactants Clapyron equation d. P = S d. T = V becomes negative
Dehydration Reaction: Effect of PH 2 O < PTotal Le Chatelier’s principle; lowering PH 2 O stabilizes products at the expense of reactants, displacing equilibrium boundary to lower temperature Ln K = Ln f (f H 2 O = P H 2 O )
Temperature vs Mole Fraction of Fluid Species T-XH 2 O Diagram T-XCO 2 Diagram XCO 2 + XH 2 O = 1
P 1 G Energy-Temperature Diagrams: the Rules of Schreinemakers K A S T P 3 P 2 G K A S T P 1 T (A) P 3 P 2 G K A S T P 1 (S) (K) T
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
Application of Rules of Schreinemakers to 2 -component system with 4 phases Note that there is one reaction for each phase in the system
Application of Rules of Schreinemakers to 2 -Component System with 5 phases
An Example of a Petrogenetic Grid – the KMASH System for Pelites