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| Preface | |
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| Geochemistry of Crystal Phases | |
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| Elemental Properties and Crystal Chemistry | |
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| General Information on Atomic Structure and the Nature of Electrons | |
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| Periodic Properties of the Elements | |
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| Generalities on the Concept of Chemical Bond in Solids | |
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| Ionic Bond and Ionic Radius | |
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| Pauling's Univalent Ionic Radii | |
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| Covalent Bond and Covalent Radius | |
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| Electronegativity and Fractional Ionic Character | |
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| Ionic Poliarizability and van der Waals Bond | |
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| Crystal Radius and Effective Distribution Radius (EDR) | |
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| Effective Ionic Radii | |
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| Forces Interacting Between Two Atoms at Defined Distances | |
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| Lattice Energy of an Ionic Crystal | |
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| Born-Haber-Fayans Thermochemical Cycle | |
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| Internal Energy of an Ionic Crystal and Temperature | |
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| Internal Energy and Pressure | |
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| Crystal Field Theory | |
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| Ligand Field Theory | |
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| The Gordon-Kim Modified Electron Gas (MEG) Model | |
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| Polarization Energy | |
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| Concepts of Chemical Thermodynamics | |
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| General Concepts and Definitions | |
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| Gibbs Free Energy and Chemical Potential | |
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| Gibbs Free Energy of a Phase as a Function of the Chemical Potential of Its Components | |
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| Relationships Between Gibbs Free Energy and Other Thermodynamic Magnitudes | |
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| Partial Molar Properties | |
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| Gibbs Phase Rule | |
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| Stability of the Polymorphs | |
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| Solid State Phase Transitions | |
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| Standard State and Thermodynamic Activity | |
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| Calculation of Gibbs Free Energy of a Pure Phase in Various P-T Conditions | |
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| Gibbs-Duhem Equation | |
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| Local Equilibrium, Affinity to Equilibrium, and Detailed Balancing | |
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| Thermochemistry of Crystalline Solids | |
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| Entropy, Heat Capacity, and Vibrational Motion of Atoms in Crystals | |
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| Heat Capacity at Constant P and Maier-Kelley Functions | |
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| Entropy and Heat Capacity from Vibrational Spectra: Kieffer's Model | |
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| Empirical Estimates of Heat Capacity at Constant Pressure | |
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| Empirical Estimates of Standard State Entropy | |
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| Estimates of Enthalpy and Gibbs Free Energy of Formation from Elements by Additivity: the [Delta]O[superscript 2-] Method | |
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| Gibbs Free Energy of a Phase at High P and T, Based on the Functional Forms of Heat Capacity, Thermal Expansion, and Compressibility | |
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| Solid Mixture Models | |
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| General Equations of Excess Functions for Nonideal Binary Mixtures | |
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| Generalizations for Ternary Mixtures | |
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| Solvus and Spinodal Decomposition in Binary Mixtures | |
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| Spinodal Decomposition and Critical Nucleation Radius | |
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| Chemical Solvus and Coherent Solvus | |
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| Some Concepts of Defect Chemistry | |
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| Extended Defects | |
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| Point Defects | |
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| Intrinsic Disorder | |
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| Extrinsic Disorder | |
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| Point Impurities | |
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| Energy of Formation of Point Defects | |
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| Defect Concentration as a Function of Temperature and Pressure | |
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| Associative Processes | |
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| Stability of a Crystalline Compound in the Presence of Defect Equilibria: Fayalite as an Example | |
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| Diffusion in Crystals: Atomistic Approach | |
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| Diffusion and Interdiffusion | |
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| Silicates | |
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| General Information | |
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| Olivines | |
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| Garnets | |
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| Pyroxenes | |
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| Amphiboles | |
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| Micas | |
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| Feldspars | |
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| Silica Minerals | |
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| Thermobarometric Properties of Silicates | |
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| Geochemistry of Silicate Melts | |
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| Thermochemistry of Silicate Melts | |
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| Structural and Reactive Properties | |
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| Structure of Natural Melts | |
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| Effects of P and T Intensive Variables on Melting | |
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| Effects of Chemical Composition on Melting (Equation of Lowering of Freezing Point) | |
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| Mixing Properties in Melts with Constant Silica Contents | |
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| Thermodynamic Properties of Complex Silicate Melts | |
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| Miscibility of Natural Melts: Ghiorso-Carmichael Model | |
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| Introduction to Petrogenetic Systems | |
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| Phase Stability Relations in Binary Systems (Roozeboom Diagrams) | |
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| Extension to Ternary Systems | |
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| Crystallization and Fusion in an Open System: Diopside-Albite-Anorthite as an Example | |
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| Geochemistry of Fluids | |
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| Geochemistry of Aqueous Phases | |
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| General Information on Structure and Properties of Water | |
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| Electrolytic Nature of Aqueous Solutions: Some Definitions | |
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| Models of "Ionic Coupling-Complexation" and "Specific Interactions" | |
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| Activities and Activity Coefficients of Electrolytes in Aqueous Solutions | |
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| Ionic Strength and Debye-Huckel Theory | |
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| The "Mean Salt" Method | |
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| Activity of Dissolved Neutral Species | |
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| Activity of Solvent in Aqueous Solutions | |
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| Speciation | |
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| Carbonate Equilibria | |
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| Thermodynamic Properties of Solutes Under High P and T Conditions: the Helgeson-Kirkham-Flowers Approach | |
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| Redox Conditions, pH, and Thermodynamic Stability of Aqueous Solutions | |
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| Relative Predominance Limits of Aqaueous Solutes and Eh-pH Diagrams | |
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| "Electronic Activity," "System Eh," and Other Redox Parameters | |
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| Eh-pH Diagrams for Main Anionic Ligands | |
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| Complex Eh-pH Diagrams: Examples of Iron, Manganese, and Copper | |
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| Notes on Metal-Organic Complexation | |
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| Redox State and Biologic Activity | |
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| Degree of Saturation of Condensed Phases and Affinity to Equilibrium in Heterogeneous Systems | |
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| Activity Diagrams | |
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| Reaction Kinetics in Hydrous Environments | |
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| Chemistry of Seawater: Salinity, Chlorinity, Alkalinity, and pH | |
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| Steady State Models and the Concept of "Time of Residence" | |
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| Geochemistry of Gaseous Phases | |
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| Perfect Gases and Gaseous Mixtures | |
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| Real Gases at High P and T Conditions | |
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| The Principle of Corresponding States and Other Equations of State for Real Gases | |
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| Mixtures of Real Gases: Examples in the C-O-H System | |
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| Volcanic Gases | |
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| Solubilities of Gaseous Species in Silicate Melts | |
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| Fluid Equilibria in Geothermal Fields | |
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| Methods | |
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| Trace Element Geochemistry | |
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| Assimilation of Trace Elements in Crystals | |
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| Raoult's and Henry's Laws | |
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| High Concentration Limits for Henry's Law in Crystalline Solutions | |
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| Lower Concentration Limits for Henry's Law Behavior in Silicate Crystals | |
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| Fractionation Operated by Crystalline Solids: Onuma Diagrams | |
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| Assimilation of Trace Elements in Silicate Melts | |
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| Limits of Validity of Henry's Law for Trace Elements in Silicate Melts | |
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| Conventional and Normalized Partition Coefficients | |
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| Trace Element Distribution Models for Magma Genesis and Differentiation | |
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| Presence of Fluid Phases | |
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| "Hygromagmatophile" and "Incompatible" Elements | |
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| Isotope Geochemistry | |
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| Isotopes in Nature | |
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| Nuclear Energy | |
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| Nuclear Decay | |
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| Isotopic Decay | |
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| Growth of Radioactive Products | |
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| Isotope Fractionation | |
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| Application I: Radiometric Dating | |
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| Application II: Stable Isotope Geothermometry | |
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| Constants, Units, and Conversion Factors | |
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| Review of Mathematics | |
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| Exact Differentials and State Functions | |
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| Review of Implicit Functions | |
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| Integration on Exact Differentials | |
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| Operations on Vectors | |
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| Lagrange Equations, Hamiltonian | |
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| Error Function | |
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| York's Algorithm for Isochrons | |
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| References | |
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| Index | |