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Metamorphic Equilibrium and Phase Diagrams

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Gibbs Free EnergyMetamorphic Rocks+6 more→→Thermobarometry: Estimating Pressure and Temperature from Minerals
metamorphism phase-diagram equilibrium pressure-temperature

Core Idea

Mineral assemblages in metamorphic rocks reflect equilibrium at specific pressure-temperature (P-T) conditions. Phase diagrams show which minerals are stable at different P-T; mineral boundaries define metamorphic facies. Comparing observed minerals to phase diagrams reveals the P-T path rocks followed during metamorphism.

Explainer

From your study of metamorphic rocks, you know that pre-existing rocks transform when subjected to elevated temperature and pressure, producing new mineral assemblages and textures. From thermodynamics, you know that Gibbs free energy determines which phase is stable at given conditions, and from phase diagrams, you know how to read stability fields separated by reaction boundaries. Metamorphic phase diagrams bring these concepts together: they map out which mineral assemblages are thermodynamically stable at each combination of pressure and temperature, turning a metamorphic rock into a recorder of the conditions it experienced.

The fundamental principle is chemical equilibrium. At any given P-T condition, the mineral assemblage with the lowest total Gibbs free energy is the one that should form, given enough time and sufficient atomic mobility. A boundary line on a P-T diagram represents a reaction — say, the transformation of kyanite to sillimanite — where both phases have equal free energy. Cross that boundary, and one phase becomes unstable while the other becomes favored. In practice, metamorphic rocks contain multiple minerals whose mutual stability fields overlap, and identifying which combination of minerals coexists allows you to locate the rock's conditions within a specific region of P-T space. These regions are called metamorphic facies: greenschist facies (low-moderate T, low-moderate P), amphibolite facies (moderate-high T, moderate P), granulite facies (high T), blueschist facies (low T, high P), and so on. Each facies name tells an experienced geologist approximately where in P-T space the rock equilibrated.

The real power of this approach emerges when you consider that metamorphic rocks often preserve evidence of *changing* conditions — not just a single P-T point. As a rock is buried during mountain building, heated, and eventually exhumed, it passes through different stability fields. Early-formed minerals may be preserved as inclusions inside later-grown crystals, or reaction rims may develop around minerals that became unstable. By identifying these textural relationships and matching each mineral assemblage to its stability field on a phase diagram, petrologists reconstruct the rock's P-T path — the trajectory it followed through pressure-temperature space over millions of years. A path that shows increasing pressure followed by increasing temperature (a clockwise loop in P-T space) tells a story of burial followed by heating, characteristic of continental collision. A path showing high pressure at low temperature (upper-left region of the diagram) indicates subduction.

One important caveat: equilibrium is an idealization. Real metamorphic reactions require activation energy, fluid catalysts, and time. Some minerals persist metastably outside their stability fields because the reaction kinetics are too slow — this is why diamonds, which are only stable at mantle pressures, survive at Earth's surface. The art of metamorphic petrology lies in recognizing which minerals achieved equilibrium and which are metastable relics, and using that judgment to extract reliable P-T estimates from the phase diagram framework.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Triple Integrals in Cartesian Coordinates → Triple Integrals in Cylindrical and Spherical Coordinates → Change of Variables and the Jacobian Determinant → Applications of Triple Integrals: Volume and Mass → Vector Fields and Their Representations → Line Integrals of Vector Fields → Work and Circulation → Line Integrals of Scalar and Vector Functions → Fundamental Theorem for Line Integrals → Conservative Vector Fields → Conservative Vector Fields and Potential Functions → Curl and Divergence of Vector Fields → Curl and Divergence → Divergence Theorem → Electric Flux and Divergence Theorem → Gauss's Law: Integral Form and Meaning → Solving Problems with Gauss's Law → Conductors in Electrostatic Equilibrium → Capacitance and Capacitors → Dielectrics → Dielectric Constant and Relative Permittivity → Electric Field Inside Dielectric Materials → Dielectric Materials and Polarization → Dielectric Susceptibility and Permittivity → Energy Density in Electric Fields → Electric Current and Current Density → Electrical Resistance and Resistivity → Ohm's Law and Circuit Elements → Electromotive Force (EMF) and Batteries → Kirchhoff's Circuit Laws: Voltage and Current → DC Circuit Network Analysis Methods → Transient Response in RC Circuits → RC Circuits → LC and RLC Circuits → AC Circuits: Fundamentals → Impedance and Reactance → AC Power and Resonance → Electromagnetic Waves → Postulates of Special Relativity → Time Dilation → Length Contraction → Lorentz Transformation → Relativistic Velocity Addition → Relativistic Momentum and Energy → Mass-Energy Equivalence and E=mc² → Photons as Particles with Energy and Momentum → Planck-Einstein Relation: Energy and Frequency → Photoelectric Effect → The Photon: Light as Quanta → Compton Scattering → Wave-Particle Duality → de Broglie Wavelength → The Schrödinger Equation → State Vectors and Wavefunctions → Quantum Superposition → Quantum Entanglement → Bell Theorem and Bell Inequalities → Postulates of Quantum Mechanics → Observables and Quantum Operators → Commutators and Commutation Relations → Quantum Angular Momentum → Quantum Mechanical Treatment of Hydrogen → Solving the Schrödinger Equation for Hydrogen Atom → Quantum Numbers → Electron Configuration → Periodic Trends → Covalent Bonding → Electronegativity and Bond Polarity → Ionic Bonding → Lewis Structures → VSEPR Theory and Molecular Geometry → Molecular Geometry and Electron Pair Geometry → Molecular Polarity and Dipole Moments → Intermolecular Forces → States of Matter and Phase Changes: Melting, Boiling, and Sublimation → Gas Laws and the Ideal Gas Equation → Gas Stoichiometry and Volume-Volume Calculations → Thermochemistry and Enthalpy → Heat Capacity and Calorimetry → Entropy and Molecular Disorder → Spontaneity and ΔG → Entropy and Gibbs Free Energy → Chemical Equilibrium → Statistical Mechanics: Ensembles and the Boltzmann Distribution → Partition Function: Definition and Properties → The Canonical Partition Function and Thermodynamic Derivation → Free Energy and Thermodynamic Relations from Partition Functions → Legendre Transformations and Thermodynamic Potentials → Chemical Potential and Partial Molar Properties → Phase Equilibrium and Coexistence Conditions → Clausius-Clapeyron Equation → Phase Diagrams and Phase Boundaries → Igneous Rocks → Metamorphic Rocks → Metamorphic Equilibrium and Phase Diagrams

Longest path: 185 steps · 1134 total prerequisite topics

Prerequisites (8)

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