| Preface | p. xi |
| Geochemistry of Crystal Phases | |
| Elemental Properties and Crystal Chemistry | p. 3 |
| General Information on Atomic Structure and the Nature of Electrons | p. 3 |
| Periodic Properties of the Elements | p. 10 |
| Generalities on the Concept of Chemical Bond in Solids | p. 15 |
| Ionic Bond and Ionic Radius | p. 16 |
| Pauling's Univalent Ionic Radii | p. 19 |
| Covalent Bond and Covalent Radius | p. 20 |
| Electronegativity and Fractional Ionic Character | p. 21 |
| Ionic Poliarizability and van der Waals Bond | p. 26 |
| Crystal Radius and Effective Distribution Radius (EDR) | p. 29 |
| Effective Ionic Radii | p. 32 |
| Forces Interacting Between Two Atoms at Defined Distances | p. 43 |
| Lattice Energy of an Ionic Crystal | p. 45 |
| Born-Haber-Fayans Thermochemical Cycle | p. 52 |
| Internal Energy of an Ionic Crystal and Temperature | p. 54 |
| Internal Energy and Pressure | p. 58 |
| Crystal Field Theory | p. 63 |
| Ligand Field Theory | p. 73 |
| The Gordon-Kim Modified Electron Gas (MEG) Model | p. 81 |
| Polarization Energy | p. 87 |
| Concepts of Chemical Thermodynamics | p. 91 |
| General Concepts and Definitions | p. 91 |
| Gibbs Free Energy and Chemical Potential | p. 92 |
| Gibbs Free Energy of a Phase as a Function of the Chemical Potential of Its Components | p. 93 |
| Relationships Between Gibbs Free Energy and Other Thermodynamic Magnitudes | p. 97 |
| Partial Molar Properties | p. 100 |
| Gibbs Phase Rule | p. 101 |
| Stability of the Polymorphs | p. 103 |
| Solid State Phase Transitions | p. 107 |
| Standard State and Thermodynamic Activity | p. 113 |
| Calculation of Gibbs Free Energy of a Pure Phase in Various P-T Conditions | p. 117 |
| Gibbs-Duhem Equation | p. 118 |
| Local Equilibrium, Affinity to Equilibrium, and Detailed Balancing | p. 119 |
| Thermochemistry of Crystalline Solids | p. 122 |
| Entropy, Heat Capacity, and Vibrational Motion of Atoms in Crystals | p. 122 |
| Heat Capacity at Constant P and Maier-Kelley Functions | p. 131 |
| Entropy and Heat Capacity from Vibrational Spectra: Kieffer's Model | p. 135 |
| Empirical Estimates of Heat Capacity at Constant Pressure | p. 141 |
| Empirical Estimates of Standard State Entropy | p. 148 |
| Estimates of Enthalpy and Gibbs Free Energy of Formation from Elements by Additivity: the [Delta]O[superscript 2-] Method | p. 151 |
| Gibbs Free Energy of a Phase at High P and T, Based on the Functional Forms of Heat Capacity, Thermal Expansion, and Compressibility | p. 155 |
| Solid Mixture Models | p. 157 |
| General Equations of Excess Functions for Nonideal Binary Mixtures | p. 168 |
| Generalizations for Ternary Mixtures | p. 170 |
| Solvus and Spinodal Decomposition in Binary Mixtures | p. 173 |
| Spinodal Decomposition and Critical Nucleation Radius | p. 178 |
| Chemical Solvus and Coherent Solvus | p. 182 |
| Some Concepts of Defect Chemistry | p. 185 |
| Extended Defects | p. 185 |
| Point Defects | p. 187 |
| Intrinsic Disorder | p. 187 |
| Extrinsic Disorder | p. 189 |
| Point Impurities | p. 192 |
| Energy of Formation of Point Defects | p. 192 |
| Defect Concentration as a Function of Temperature and Pressure | p. 196 |
| Associative Processes | p. 198 |
| Stability of a Crystalline Compound in the Presence of Defect Equilibria: Fayalite as an Example | p. 202 |
| Diffusion in Crystals: Atomistic Approach | p. 205 |
| Diffusion and Interdiffusion | p. 212 |
| Silicates | p. 217 |
| General Information | p. 217 |
| Olivines | p. 223 |
| Garnets | p. 248 |
| Pyroxenes | p. 266 |
| Amphiboles | p. 299 |
| Micas | p. 321 |
| Feldspars | p. 345 |
| Silica Minerals | p. 371 |
| Thermobarometric Properties of Silicates | p. 375 |
| Geochemistry of Silicate Melts | |
| Thermochemistry of Silicate Melts | p. 411 |
| Structural and Reactive Properties | p. 411 |
| Structure of Natural Melts | p. 419 |
| Effects of P and T Intensive Variables on Melting | p. 424 |
| Effects of Chemical Composition on Melting (Equation of Lowering of Freezing Point) | p. 426 |
| Mixing Properties in Melts with Constant Silica Contents | p. 428 |
| Thermodynamic Properties of Complex Silicate Melts | p. 433 |
| Miscibility of Natural Melts: Ghiorso-Carmichael Model | p. 439 |
| Introduction to Petrogenetic Systems | p. 449 |
| Phase Stability Relations in Binary Systems (Roozeboom Diagrams) | p. 449 |
| Extension to Ternary Systems | p. 466 |
| Crystallization and Fusion in an Open System: Diopside-Albite-Anorthite as an Example | p. 471 |
| Geochemistry of Fluids | |
| Geochemistry of Aqueous Phases | p. 479 |
| General Information on Structure and Properties of Water | p. 479 |
| Electrolytic Nature of Aqueous Solutions: Some Definitions | p. 491 |
| Models of "Ionic Coupling-Complexation" and "Specific Interactions" | p. 491 |
| Activities and Activity Coefficients of Electrolytes in Aqueous Solutions | p. 492 |
| Ionic Strength and Debye-Huckel Theory | p. 494 |
| The "Mean Salt" Method | p. 497 |
| Activity of Dissolved Neutral Species | p. 499 |
| Activity of Solvent in Aqueous Solutions | p. 501 |
| Speciation | p. 502 |
| Carbonate Equilibria | p. 510 |
| Thermodynamic Properties of Solutes Under High P and T Conditions: the Helgeson-Kirkham-Flowers Approach | p. 520 |
| Redox Conditions, pH, and Thermodynamic Stability of Aqueous Solutions | p. 539 |
| Relative Predominance Limits of Aqaueous Solutes and Eh-pH Diagrams | p. 546 |
| "Electronic Activity," "System Eh," and Other Redox Parameters | p. 550 |
| Eh-pH Diagrams for Main Anionic Ligands | p. 553 |
| Complex Eh-pH Diagrams: Examples of Iron, Manganese, and Copper | p. 556 |
| Notes on Metal-Organic Complexation | p. 560 |
| Redox State and Biologic Activity | p. 575 |
| Degree of Saturation of Condensed Phases and Affinity to Equilibrium in Heterogeneous Systems | p. 578 |
| Activity Diagrams | p. 582 |
| Reaction Kinetics in Hydrous Environments | p. 587 |
| Chemistry of Seawater: Salinity, Chlorinity, Alkalinity, and pH | p. 600 |
| Steady State Models and the Concept of "Time of Residence" | p. 607 |
| Geochemistry of Gaseous Phases | p. 612 |
| Perfect Gases and Gaseous Mixtures | p. 612 |
| Real Gases at High P and T Conditions | p. 616 |
| The Principle of Corresponding States and Other Equations of State for Real Gases | p. 620 |
| Mixtures of Real Gases: Examples in the C-O-H System | p. 623 |
| Volcanic Gases | p. 626 |
| Solubilities of Gaseous Species in Silicate Melts | p. 631 |
| Fluid Equilibria in Geothermal Fields | p. 643 |
| Methods | |
| Trace Element Geochemistry | p. 657 |
| Assimilation of Trace Elements in Crystals | p. 657 |
| Raoult's and Henry's Laws | p. 657 |
| High Concentration Limits for Henry's Law in Crystalline Solutions | p. 659 |
| Lower Concentration Limits for Henry's Law Behavior in Silicate Crystals | p. 666 |
| Fractionation Operated by Crystalline Solids: Onuma Diagrams | p. 672 |
| Assimilation of Trace Elements in Silicate Melts | p. 674 |
| Limits of Validity of Henry's Law for Trace Elements in Silicate Melts | p. 680 |
| Conventional and Normalized Partition Coefficients | p. 680 |
| Trace Element Distribution Models for Magma Genesis and Differentiation | p. 688 |
| Presence of Fluid Phases | p. 701 |
| "Hygromagmatophile" and "Incompatible" Elements | p. 702 |
| Isotope Geochemistry | p. 707 |
| Isotopes in Nature | p. 707 |
| Nuclear Energy | p. 713 |
| Nuclear Decay | p. 715 |
| Isotopic Decay | p. 722 |
| Growth of Radioactive Products | p. 723 |
| Isotope Fractionation | p. 726 |
| Application I: Radiometric Dating | p. 741 |
| Application II: Stable Isotope Geothermometry | p. 767 |
| Constants, Units, and Conversion Factors | p. 801 |
| Review of Mathematics | p. 805 |
| Exact Differentials and State Functions | p. 805 |
| Review of Implicit Functions | p. 807 |
| Integration on Exact Differentials | p. 808 |
| Operations on Vectors | p. 809 |
| Lagrange Equations, Hamiltonian | p. 811 |
| Error Function | p. 814 |
| York's Algorithm for Isochrons | p. 815 |
| References | p. 817 |
| Index | p. 863 |
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