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Metamorphic Reactions
Phase Transformation Reactions
Solid-Solid Net Transfer Reaction
NaAlSi2O6 + SiO2 = NaAlSi3O8
Jd Qtz Ab
dG = VdP – SdT
dP = S
dT = V
Clapyron Equation
Dehydration Reaction
KAl3Si3O10(OH)2 + SiO2 = KAlSi3O8 + Al2SiO5 + H2O
Ms Qtz Kfs Als
Slope of reaction
boundary determined
by properties of fluid
phase
dP = S
dT = V
Most dehydration
reaction boundaries
subparallel
Decarbonation Reactions
CaCO3 + SiO2 = CaSiO3 + CO2
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
dP = S
dT = V
Clapyron equation
becomes negative
Dehydration Reaction: Effect of PH2O < PTotal
Ln K = Ln f H2O
( f H2O = PH2O   H2O)
Le Chatelier’s principle;
lowering PH2O
stabilizes products at
the expense of
reactants, displacing
equilibrium boundary to
lower temperature
Temperature vs Mole Fraction of Fluid Species
T-XH2O Diagram
T-XCO2 Diagram
XCO2 + XH2O = 1
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
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

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4 Metamorphic Reactions.ppt