Thermodynamics in Earth and Planetary Sciences

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1. Verfasser: Ganguly, Jibamitra 1938- (VerfasserIn)
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Veröffentlicht: Berlin [u.a.] Springer 2008
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adam_text JIBAMITRA GANGULY THERMODYNAMICS IN EARTH AND PLANETARY SCIENCES *ZJ SPRINGER CONTENTS 1 INTRODUCTION 1 1.1 NATURE AND SCOPE OF THERMODYNAMICS 1 1.2 IRREVERSIBLE AND REVERSIBLE PROCESSES 3 1.3 THERMODYNAMIC SYSTEMS, WALLS AND VARIABLES 4 1.4 WORK 5 1.5 STABLE AND METASTABLE EQUILIBRIUM 9 1.6 LATTICE VIBRATIONS 10 1.7 ELECTRONIC CONFIGURATIONS AND EFFECTS OF CRYSTAL FIELDS 13 1.7.1 ELECTRONIC SHELLS, SUBSHELLS AND ORBITALS 13 1.7.2 CRYSTAL OR LIGAND FIELD EFFECTS 15 1.8 SOME USEFUL PHYSICAL QUANTITIES AND UNITS 17 2 FIRST AND SECOND LAWS 19 2.1 THE FIRST LAW 20 2.2 SECOND LAW: THE CLASSIC STATEMENTS 22 2.3 CARNOT CYCLE: ENTROPY AND ABSOLUTE TEMPERATURE SCALE 23 2.4 ENTROPY: DIRECTION OF NATURAL PROCESSES AND EQUILIBRIUM 27 2.5 MICROSCOPIC INTERPRETATION OF ENTROPY: BOLTZMANN RELATION 29 2.5.1 SUMMARY/OF THE IMPORTANT RELATIONS IN THE FIRST AND SECOND LAWS 33 2.6 ENTROPY AND DISORDER: MINERALOGICAL APPLICATIONS 33 2.6.1 CONFIGURATIONAL ENTROPY 33 2.6.2 VIBRATIONAL ENTROPY 38 2.6.3 CONFIGURATIONAL VS. VIBRATIONAL ENTROPY 40 2.7 FIRST AND SECOND LAWS: COMBINED STATEMENT 43 2.8 , CONDITION OF THERMAL EQUILIBRIUM: AN ILLUSTRATIVE APPLICATION OF THE SECOND LAW 44 2.9 LIMITING EFFICIENCY OF A HEAT ENGINE AND HEAT PUMP 46 2.9.1 HEAT ENGINE 46 2.9.2 HEAT PUMP 47 2.9.3 HEAT ENGINES IN NATURE 49 RIV CONTENTS 3 THERMODYNAMIC POTENTIALS AND DERIVATIVE PROPERTIES 53 3.1 THERMODYNAMIC POTENTIALS 53 3.2 EQUILIBRIUM CONDITIONS FOR CLOSED SYSTEMS: FORMULATIONS IN TERMS OF THE POTENTIALS 56 3.3 WHAT IS FREE IN FREE ENERGY? 58 3.4 MAXWELL RELATIONS 58 3.5 THERMODYNAMIC SQUARE: A MNEMONIC TOOL 59 3.6 VAPOR PRESSURE AND FUGACITY 61 3.7 DERIVATIVE PROPERTIES 63 3.7.1 THERMAL EXPANSION AND COMPRESSIBILITY 63 3.7.2 HEAT CAPACITIES 65 3.8 GRIINEISEN PARAMETER 68 3.9 P-T DEPENDENCIES OF COEFFICIENT OF THERMAL EXPANSION AND COMPRESSIBILITY 71 3.10 SUMMARY OF THERMODYNAMIC DERIVATIVES 71 4 THIRD LAW AND THERMOCHEMISTRY 73 4.1 THE THIRD LAW AND ENTROPY 73 4.1.1 OBSERVATIONAL BASIS AND STATEMENT 73 4.1.2 THIRD LAW ENTROPY AND RESIDUAL ENTROPY 75 4.2 BEHAVIOR OF THE HEAT CAPACITY FUNCTIONS 76 4.3 NON-LATTICE CONTRIBUTIONS TO HEAT CAPACITY AND ENTROPY OF END-MEMBER SOLIDS 80 4.3.1 ELECTRONIC TRANSITIONS 80 4.3.2 MAGNETIC TRANSITIONS 82 4.4 UNATTAINABILITY OF ABSOLUTE ZERO 84 4.5 THERMOCHEMISTRY: FORMALISMS AND CONVENTIONS 85 4.5.1 ENTHALPY OF FORMATION 85 4.5.2 HESS' LAW ./. 87 4.5.3 GIBBS FREE ENERGY OF FORMATION 87 4.5.4 THERMOCHEMICAL DATA 88 5 CRITICAL PHENOMENON AND/EQUATIONS OF STATES 91 5.1 CRITICAL END POINT". 91 5.2 NEAR- AND SUPER-CRITICAL PROPERTIES 95 5.2.1 DIVERGENCE OF THERMAL AND THERMO-PHYSICAL PROPERTIES 95 5.2.2 CRITICAL FLUCTUATIONS 96 5.2.3 SUPER- AND NEAR-CRITICAL FLUIDS 98 5.3 NEAR-CRITICAL PROPERTIES OF WATER AND MAGMA-HYDROTHERMAL SYSTEMS 99 5.4 EQUATIONS OF STATE 102 5.4.1 GAS 103 5.4.2 SOLID AND MELT ILL CONTENTS XV 6 PHASE TRANSITIONS, MELTING AND REACTIONS OF STOICHIOMETRIC PHASES .115 6.1 GIBBS PHASE RULE: PRELIMINARIES 115 6.2 PHASE TRANSFORMATIONS AND POLYMORPHISM 116 6.2.1 THERMODYNAMIC CLASSIFICATION OF PHASE TRANSFORMATIONS 117 6.3 LANDAU THEORY OF PHASE TRANSITION 119 6.3.1 GENERAL OUTLINE 119 6.3.2 DERIVATION OF CONSTRAINTS ON THE SECOND ORDER COEFFICIENT 123 6.3.3 EFFECT OF ODD ORDER COEFFICIENT ON PHASE TRANSITION. 124 6.3.4 ORDER PARAMETER VS. TEMPERATURE: SECOND ORDER AND TRICRITICAL TRANSFORMATIONS 124 6.3.5 LANDAU POTENTIAL VS. ORDER PARAMETER: IMPLICATIONS FOR KINETICS 126 6.3.6 ILLUSTRATIVE APPLICATION TO A MINERALOGICAL PROBLEM. 127 6.4 REACTIONS IN THE P-T SPACE 129 6.4.1 CONDITIONS OF STABILITY AND EQUILIBRIUM 129 6.4.2 P-T SLOPE: CLAYPERON-CLASSIUS RELATION 130 6.5 TEMPERATURE MAXIMUM ON DEHYDRATION AND MELTING CURVES . 131 6.6 EXTRAPOLATION OF MELTING TEMPERATURE TO HIGH PRESSURES 135 6.6.1 KRAUT-KENNEDY RELATION 136 6.6.2 LINDEMANN-GILVARRY RELATION 138 6.7 CALCULATION OF EQUILIBRIUM P-T CONDITIONS OF A REACTION 138 6.7.1 EQUILIBRIUM PRESSURE AT A FIXED TEMPERATURE 138 6.7.2 EFFECT OF POLYMORPHIC TRANSITION 143 6.8 EVALUATION OF GIBBS ENERGY AND FUGACITY AT HIGH PRESSURE USING EQUATIONS OF STATES 145 6.8.1 BIRCH-MURNAGHAN EQUATION OF STATE 146 6.8.2 VINET EQUATION OF STATE 146 6.8.3 REDLICH-KWONG AND RELATED EQUATIONS OF STATE FOR FLUIDS^ 147 6.9 SCHREINEMAKERS' PRINCIPLES 148 6.9.1 ENUMERATING DIFFERENT TYPES OF EQUILIBRIA 149 6.9.2 SELF-CONSISTENT STABILITY CRITERIA 150 6.9.3 EFFECT OF AN EXCESS PHASE 151 6.9.4 /'CONCLUDING REMARKS 151 / 7 THERMAL PRESSURE, EARTH'S INTERIOR AND ADIABATIC PROCESSES 153 7.1 THERMAL PRESSURE 153 7.1.1 THERMODYNAMIC RELATIONS 153 7.1.2 CORE OF THE EARTH 155 7.1.3 MAGMA-HYDROTHERMAL SYSTEM 157 7.2 ADIABATIC TEMPERATURE GRADIENT 159 7.3 TEMPERATURE GRADIENTS IN THE EARTH'S MANTLE AND OUTER CORE . 161 7.3.1 UPPER MANTLE 161 CONTENTS 7.3.2 LOWER MANTLE AND CORE 163 7.4 ISENTROPIC MELTING IN THE EARTH'S INTERIOR 165 7.5 THE EARTH'S MANTLE AND CORE: LINKING THERMODYNAMICS AND SEISMIC VELOCITIES 169 7.5.1 RELATIONS AMONG ELASTIC PROPERTIES AND SOUND VELOCITIES 169 7.5.2 RADIAL DENSITY VARIATION 171 7.5.3 TRANSITION ZONE IN THE EARTH'S MANTLE 175 7.6 JOULE-THOMPSON EXPERIMENT OF ADIABATIC FLOW 177 7.7 ADIABATIC FLOW WITH CHANGE OF KINETIC AND POTENTIAL ENERGIES. 180 7.7.1 HORIZONTAL FLOW WITH CHANGE OF KINETIC ENERGY: BERNOULLI EQUATION 181 7.7.2 VERTICAL FLOW 182 7.8 ASCENT OF MATERIAL WITHIN THE EARTH'S INTERIOR 184 7.8.1 IRREVERSIBLE DECOMPRESSION AND MELTING OF MANTLE ROCKS 185 7.8.2 THERMAL EFFECT OF VOLATILE ASCENT: COUPLING FLUID DYNAMICS AND THERMODYNAMICS 187 THERMODYNAMICS OF SOLUTIONS 189 8.1 CHEMICAL POTENTIAL AND CHEMICAL EQUILIBRIUM 189 8.2 PARTIAL MOLAR PROPERTIES 193 8.3 DETERMINATION OF PARTIAL MOLAR PROPERTIES 195 8.3.1 BINARY SOLUTIONS 195 8.3.2 MULTICOMPONENT SOLUTIONS 197 8.4 FUGACITY AND ACTIVITY OF A COMPONENT IN SOLUTION 200 8.5 DETERMINATION OF ACTIVITY OF A COMPONENT USING GIBBS-DUHEM RELATION ' 203 8.6 MOLAR PROPERTIES OF A SOLUTION 205 8.6.1 FORMULATIONS 205 8.6.2 ENTROPY OF MIXING AND CHOICE OF ACTIVITY EXPRESSION . 207 8.7 IDEAL SOLUTION AND EXCESS THERMODYNAMIC PROPERTIES 207 8.7.1 THERMODYNAMIC RELATIONS 207 8.7.2 IDEALITY OF/MIXING: REMARK ON THE CHOICE OF COMPONENTS AND PROPERTIES 209 8.8 SOLUTE AND SOLVENT BEHAVIORS IN DILUTE SOLUTION 210 8.8.1 / HENRY'S LAW 210 8.8.2 RAOULT'S LAW 213 8.9 SPECIATION OF WATER IN SILICATE MELT 215 8.10 STANDARD STATES: RECAPITULATIONS AND COMMENTS 219 8.11 STABILITY OF A SOLUTION 221 8.11.1 INTRINSIC STABILITY AND INSTABILITY OF A SOLUTION 221 8.11.2 EXTRINSIC INSTABILITY: DECOMPOSITION OF A SOLID SOLUTION 225 8.12 SPINODAL, CRITICAL AND BINODAL (SOLVUS) CONDITIONS 226 8.12.1 THERMODYNAMIC FORMULATIONS 226 CONTENTS XVII 8.12.2 UPPER AND LOWER CRITICAL TEMPERATURES 232 8.13 EFFECT OF COHERENCY STRAIN ON EXSOLUTION 234 8.14 SPINODAL DECOMPOSITION 236 8.15 SOLVUS THERMOMETRY 237 8.16 CHEMICAL POTENTIAL IN A FIELD 239 8.16.1 FORMULATIONS 239 8.16.2 APPLICATIONS 240 8.17 OSMOTIC EQUILIBRIUM 244 8.17.1 OSMOTIC PRESSURE AND REVERSE OSMOSIS 244 8.17.2 OSMOTIC COEFFICIENT 245 8.17.3 DETERMINATION OF MOLECULAR WEIGHT OF A SOLUTE 246 9 THERMODYNAMIC SOLUTION AND MIXING MODELS: NON-ELECTROLYTES 249 9.1 IONIC SOLUTIONS 249 9.1.1 SINGLE SITE, SUBLATTICE AND RECIPROCAL SOLUTION MODELS 250 9.1.2 DISORDERED SOLUTIONS 254 9.1.3 COUPLED SUBSTITUTIONS 255 9.1.4 IONIC MELT: TEMKIN AND OTHER MODELS 256 9.2 MIXING MODELS IN BINARY SYSTEMS 256 9.2.1 GUGGENHEIM OR REDLICH-KISTER, SIMPLE MIXTURE AND REGULAR SOLUTION MODELS 257 9.2.2 SUBREGULAR MODEL 259 9.2.3 DARKEN'S QUADRATIC FORMULATION 261 9.2.4 QUASI-CHEMICAL AND RELATED MODELS 263 9.2.5 ATHERMAL, FLORY-HUGGINS AND NRTL (NON-RANDOM TWO SITE) MODELS 266 9.2.6 VAN LAAR MODEL 268 9.2.7 ASSOCIATED SOLUTIONS 270 9.3 MULTICOMPONENT SOLUTIONS 273 9.3.1 POWER SERIES MULTICOMPONENT MODELS 274 9.3.2 PROJECTED MULTICOMPONENT MODELS 275 9.3.3 COMPARISON BETWEEN POWER SERIES AND PROJECTED METHODS 277 9.3.4 ESTIMATION OF HIGHER ORDER INTERACTION TERMS 277 9.3.5 SOLID/SOLUTIONS WITH MULTI-SITE MIXING 278 9.3.6 CONCLUDING REMARKS 278 3 10 EQUILIBRIA INVOLVING SOLUTIONS AND GASEOUS MIXTURES 281 10.1 EXTENT AND EQUILIBRIUM CONDITION OF A REACTION 281 10.2 GIBBS FREE ENERGY CHANGE AND AFFINITY OF A REACTION 283 10.3 GIBBS PHASE RULE AND DUHEM'S THEOREM 284 10.3.1 PHASE RULE 285 10.3.2 DUHEM'S THEOREM 287 10.4 EQUILIBRIUM CONSTANT OF A CHEMICAL REACTION 289 10.4.1 DEFINITION AND RELATION WITH ACTIVITY PRODUCT 289 XVIII CONTENTS 10.4.2 PRESSURE AND TEMPERATURE DEPENDENCES OF EQUILIBRIUM CONSTANT 291 10.5 SOLID-GAS REACTIONS 292 10.5.1 CONDENSATION OF SOLAR NEBULA 292 10.5.2 SURFACE-ATMOSPHERE INTERACTION IN VENUS 296 10.5.3 METAL-SILICATE REACTION IN METEORITE MEDIATED BY DRY GAS PHASE 297 10.5.4 EFFECT OF VAPOR COMPOSITION ON EQUILIBRIUM TEMPERATURE: T VS. X V SECTIONS 299 10.5.5 VOLATILE COMPOSITIONS: METAMORPHIC AND MAGMATIC SYSTEMS 303 10.6 EQUILIBRIUM TEMPERATURE BETWEEN SOLID AND MELT 305 10.6.1 EUTECTIC AND PERITECTIC SYSTEMS 305 10.6.2 SYSTEMS INVOLVING SOLID SOLUTION 308 10.7 AZEOTROPIC SYSTEMS 310 10.8 READING SOLID-LIQUID PHASE DIAGRAMS 312 10.8.1 EUTECTIC AND PERITECTIC SYSTEMS 312 10.8.2 CRYSTALLIZATION AND MELTING OF A BINARY SOLID SOLUTION . 314 10.8.3 INTERSECTION OF MELTING LOOP AND A SOLVUS 315 10.8.4 TERNARY SYSTEMS 317 10.9 NATURAL SYSTEMS: GRANITES AND LUNAR BASALTS 319 10.9.1 GRANITES 319 10.9.2 LUNAR BASALTS 321 10.10 PRESSURE DEPENDENCE OF EUTECTIC TEMPERATURE AND COMPOSITION . 322 10.11 REACTIONS IN IMPURE SYSTEMS 324 10.11.1 REACTIONS INVOLVING SOLID SOLUTIONS 324 10.11.2 SOLVED PROBLEM 329 10.11.3 REACTIONS INVOLVING SOLID SOLUTIONS AND GASEOUS MIXTURE / 331 10.12 RETRIEVAL OF ACTIVITY COEFFICIENT FROM PHASE EQUILIBRIA 335 10.13 EQUILIBRIUM ABUNDANCE AND COMPOSITIONS OF PHASES 337 10.13.1 CLOSED SYSTEM AT CONSTANT P-T 337 10.13.2 CONDITIONS OTHER THAN CONSTANT P-T 342 / 11 ELEMENT FRACTIONATION IN GEOLOGICAL SYSTEMS 347 11.1 FRACTIONATION OF MAJOR ELEMENTS 347 11.1.1 EXCHANGE EQUILIBRIUM AND DISTRIBUTION COEFFICIENT. 347 11:1.2 TEMPERATURE AND PRESSURE DEPENDENCE OF K D 349 11.1.3 COMPOSITIONAL DEPENDENCE OF K D 350 11.1.4 THERMOMETRIC FORMULATION 353 11.2 TRACE ELEMENT FRACTIONATION BETWEEN MINERAL AND MELT 354 11.2.1 THERMODYNAMIC FORMULATIONS 354 11.2.2 ILLUSTRATIVE APPLICATIONS 359 11.2.3 ESTIMATION OF PARTITION COEFFICIENT 360 CONTENTS XIX 11.3 METAL-SILICATE FRACTIONATION: MAGMA OCEAN AND CORE FORMATION . 363 11.3.1 PRESSURE DEPENDENCE OF METAL-SILICATE PARTITION COEFFICIENTS 367 11.3.2 PRESSURE DEPENDENCE OF METAL-SILICATE DISTRIBUTION COEFFICIENTS 369 11.3.3 PRESSURE DEPENDENCIES OF NI VS. CO PARTITION- AND DISTRIBUTION-COEFFICIENTS 370 11.4 EFFECT OF TEMPERATURE AND F(O2) ON METAL-SILICATE PARTITION COEFFICIENT 372 12 ELECTROLYTE SOLUTIONS AND ELECTROCHEMISTRY 375 12.1 CHEMICAL POTENTIAL 376 12.2 ACTIVITY AND ACTIVITY COEFFICIENTS: MEAN ION FORMULATIONS 377 12.3 MASS BALANCE RELATION 378 12.4 STANDARD STATE CONVENTION AND PROPERTIES 378 12.4.1 SOLUTE STANDARD STATE : 378 12.4.2 STANDARD STATE PROPERTIES OF IONS 380 12.5 EQUILIBRIUM CONSTANT, SOLUBILITY PRODUCT & ION ACTIVITY PRODUCT 381 12.6 ION ACTIVITY COEFFICIENTS AND IONIC STRENGTH 382 12.6.1 DEBYE-HUCKEL AND RELATED METHODS 382 12.6.2 MEAN-SALT METHOD 384 12.7 MULTICOMPONENT HIGH IONIC STRENGTH AND HIGH P-T SYSTEMS 385 12.8 ACTIVITY DIAGRAMS OF MINERAL STABILITIES 389 12.8.1 METHOD OF CALCULATION 389 12.8.2 ILLUSTRATIVE APPLICATIONS 392 12.9 ELECTROCHEMICAL CELLS AND NERNST EQUATION 396 12.9.1 ELECTROCHEMICAL CELL AND HALF-CELLS 396 12.9.2 EMF OF A CELL AND NERNST EQUATION 397 12.9.3 STANDARD EMF, OF HALF-CELL AND FULL-CELL REACTIONS . 398 12.10 HYDROGEN ION ACTIVITYJFTN AQUEOUS SOLUTION: PH AND ACIDITY . 399 12.11 EH-PH STABILITY DIAGRAMS 399 12.12 CHEMICAL MODEL OF SEA WATER 403 / 13 SURFACE EFFECTS ./ 409 13.1 SURFACE TENSION AND ENERGETIC CONSEQUENCES 409 13.2 SURFACE THERMODYNAMIC FUNCTIONS AND ADSORPTION 411 13.3 TEMPERATURE, PRESSURE AND COMPOSITIONAL EFFECTS ON SURFACE TENSION 414 13.4 CRACK PROPAGATION 415 13.5 EQUILIBRIUM SHAPE OF CRYSTALS 416 13.6 CONTACT AND DIHEDRAL ANGLES 418 13.7 DIHEDRAL ANGLE AND INTERCONNECTED MELT OR FLUID CHANNELS 423 13.7.1 CONNECTIVITY OF MELT PHASE AND THIN MELT FILM IN ROCKS 423 XX CONTENTS 13.7.2 CORE FORMATION IN EARTH AND MARS 425 13.8 SURFACE TENSION AND GRAIN COARSENING 428 13.9 EFFECT OF PARTICLE SIZE ON SOLUBILITY 430 13.10 COARSENING OF EXSOLUTION LAMELLAE 432 13.11 NUCLEATION 434 13.11.1 THEORY 434 13.11.2 MICROSTRUCTURES OF METALS IN METEORITES 436 13.12 EFFECT OF PARTICLE SIZE ON MINERAL STABILITY 438 APPENDIX A RATE OF ENTROPY PRODUCTION AND KINETIC IMPLICATIONS 443 A.I RATE OF ENTROPY PRODUCTION: CONJUGATE FLUX AND FORCE IN IRREVERSIBLE PROCESSES 443 A.2 RELATIONSHIP BETWEEN FLUX AND FORCE 447 A.3 HEAT AND CHEMICAL DIFFUSION PROCESSES: COMPARISON WITH THE EMPIRICAL LAWS 448 A.4 ONSAGER RECIPROCITY RELATION AND THERMODYNAMIC APPLICATIONS 450 APPENDIX B REVIEW OF SOME MATHEMATICAL RELATIONS 453 B.I TOTAL AND PARTIAL DIFFERENTIALS 453 B.2 STATE FUNCTION, EXACT AND INEXACT DIFFERENTIALS, AND LINE INTEGRALS 454 B.3 RECIPROCITY RELATION 456 B.4 IMPLICIT FUNCTION 457 B.5 INTEGRATING FACTOR 458 B.6 TAYLOR SERIES 459 APPENDIX C ESTIMATION OF THERMODYNAMIC PROPERTIES OF SOLIDS 461 C.I ESTIMATION OF CP AND §'OF END-MEMBERS FROM CONSTITUENT OXIDES .I 461 C.I.I LINEAR COMBINATION OF COMPONENTS 461 C.1.2 VOLUME EFFECT ON ENTROPY 462 C.1.3 ELECTRONIC ORDERING EFFECT ON ENTROPY 462 C.2 POLYHEDRAL APPROXIMATION: ENTHALPY, ENTROPY AND VOLUME. 463 C.3 ESTIMATION OF ENTHALPY OF MIXING 466 C3.1 ELASTIC EFFECT 466 C.3.2 CRYSTAL-FIELD EFFECT 468 REFERENCES 471 AUTHOR INDEX 491 SUBJECT INDEX 497
adam_txt JIBAMITRA GANGULY THERMODYNAMICS IN EARTH AND PLANETARY SCIENCES *ZJ SPRINGER CONTENTS 1 INTRODUCTION 1 1.1 NATURE AND SCOPE OF THERMODYNAMICS 1 1.2 IRREVERSIBLE AND REVERSIBLE PROCESSES 3 1.3 THERMODYNAMIC SYSTEMS, WALLS AND VARIABLES 4 1.4 WORK 5 1.5 STABLE AND METASTABLE EQUILIBRIUM 9 1.6 LATTICE VIBRATIONS 10 1.7 ELECTRONIC CONFIGURATIONS AND EFFECTS OF CRYSTAL FIELDS 13 1.7.1 ELECTRONIC SHELLS, SUBSHELLS AND ORBITALS 13 1.7.2 CRYSTAL OR LIGAND FIELD EFFECTS 15 1.8 SOME USEFUL PHYSICAL QUANTITIES AND UNITS 17 2 FIRST AND SECOND LAWS 19 2.1 THE FIRST LAW 20 2.2 SECOND LAW: THE CLASSIC STATEMENTS 22 2.3 CARNOT CYCLE: ENTROPY AND ABSOLUTE TEMPERATURE SCALE 23 2.4 ENTROPY: DIRECTION OF NATURAL PROCESSES AND EQUILIBRIUM 27 2.5 MICROSCOPIC INTERPRETATION OF ENTROPY: BOLTZMANN RELATION 29 2.5.1 SUMMARY/OF THE IMPORTANT RELATIONS IN THE FIRST AND SECOND LAWS 33 2.6 ENTROPY AND DISORDER: MINERALOGICAL APPLICATIONS 33 2.6.1 CONFIGURATIONAL ENTROPY 33 2.6.2 VIBRATIONAL ENTROPY 38 2.6.3 CONFIGURATIONAL VS. VIBRATIONAL ENTROPY 40 2.7 FIRST AND SECOND LAWS: COMBINED STATEMENT 43 2.8 , CONDITION OF THERMAL EQUILIBRIUM: AN ILLUSTRATIVE APPLICATION OF THE SECOND LAW 44 2.9 LIMITING EFFICIENCY OF A HEAT ENGINE AND HEAT PUMP 46 2.9.1 HEAT ENGINE 46 2.9.2 HEAT PUMP 47 2.9.3 HEAT ENGINES IN NATURE 49 RIV CONTENTS 3 THERMODYNAMIC POTENTIALS AND DERIVATIVE PROPERTIES 53 3.1 THERMODYNAMIC POTENTIALS 53 3.2 EQUILIBRIUM CONDITIONS FOR CLOSED SYSTEMS: FORMULATIONS IN TERMS OF THE POTENTIALS 56 3.3 WHAT IS FREE IN FREE ENERGY? 58 3.4 MAXWELL RELATIONS 58 3.5 THERMODYNAMIC SQUARE: A MNEMONIC TOOL 59 3.6 VAPOR PRESSURE AND FUGACITY 61 3.7 DERIVATIVE PROPERTIES 63 3.7.1 THERMAL EXPANSION AND COMPRESSIBILITY 63 3.7.2 HEAT CAPACITIES 65 3.8 GRIINEISEN PARAMETER 68 3.9 P-T DEPENDENCIES OF COEFFICIENT OF THERMAL EXPANSION AND COMPRESSIBILITY 71 3.10 SUMMARY OF THERMODYNAMIC DERIVATIVES 71 4 THIRD LAW AND THERMOCHEMISTRY 73 4.1 THE THIRD LAW AND ENTROPY 73 4.1.1 OBSERVATIONAL BASIS AND STATEMENT 73 4.1.2 THIRD LAW ENTROPY AND RESIDUAL ENTROPY 75 4.2 BEHAVIOR OF THE HEAT CAPACITY FUNCTIONS 76 4.3 NON-LATTICE CONTRIBUTIONS TO HEAT CAPACITY AND ENTROPY OF END-MEMBER SOLIDS 80 4.3.1 ELECTRONIC TRANSITIONS 80 4.3.2 MAGNETIC TRANSITIONS 82 4.4 UNATTAINABILITY OF ABSOLUTE ZERO 84 4.5 THERMOCHEMISTRY: FORMALISMS AND CONVENTIONS 85 4.5.1 ENTHALPY OF FORMATION 85 4.5.2 HESS' LAW ./. 87 4.5.3 GIBBS FREE ENERGY OF FORMATION 87 4.5.4 THERMOCHEMICAL DATA 88 5 CRITICAL PHENOMENON AND/EQUATIONS OF STATES 91 5.1 CRITICAL END POINT". 91 5.2 NEAR- AND SUPER-CRITICAL PROPERTIES 95 5.2.1 DIVERGENCE OF THERMAL AND THERMO-PHYSICAL PROPERTIES 95 5.2.2 CRITICAL FLUCTUATIONS 96 5.2.3 SUPER- AND NEAR-CRITICAL FLUIDS 98 5.3 NEAR-CRITICAL PROPERTIES OF WATER AND MAGMA-HYDROTHERMAL SYSTEMS 99 5.4 EQUATIONS OF STATE 102 5.4.1 GAS 103 5.4.2 SOLID AND MELT ILL CONTENTS XV 6 PHASE TRANSITIONS, MELTING AND REACTIONS OF STOICHIOMETRIC PHASES .115 6.1 GIBBS PHASE RULE: PRELIMINARIES 115 6.2 PHASE TRANSFORMATIONS AND POLYMORPHISM 116 6.2.1 THERMODYNAMIC CLASSIFICATION OF PHASE TRANSFORMATIONS 117 6.3 LANDAU THEORY OF PHASE TRANSITION 119 6.3.1 GENERAL OUTLINE 119 6.3.2 DERIVATION OF CONSTRAINTS ON THE SECOND ORDER COEFFICIENT 123 6.3.3 EFFECT OF ODD ORDER COEFFICIENT ON PHASE TRANSITION. 124 6.3.4 ORDER PARAMETER VS. TEMPERATURE: SECOND ORDER AND TRICRITICAL TRANSFORMATIONS 124 6.3.5 LANDAU POTENTIAL VS. ORDER PARAMETER: IMPLICATIONS FOR KINETICS 126 6.3.6 ILLUSTRATIVE APPLICATION TO A MINERALOGICAL PROBLEM. 127 6.4 REACTIONS IN THE P-T SPACE 129 6.4.1 CONDITIONS OF STABILITY AND EQUILIBRIUM 129 6.4.2 P-T SLOPE: CLAYPERON-CLASSIUS RELATION 130 6.5 TEMPERATURE MAXIMUM ON DEHYDRATION AND MELTING CURVES . 131 6.6 EXTRAPOLATION OF MELTING TEMPERATURE TO HIGH PRESSURES 135 6.6.1 KRAUT-KENNEDY RELATION 136 6.6.2 LINDEMANN-GILVARRY RELATION 138 6.7 CALCULATION OF EQUILIBRIUM P-T CONDITIONS OF A REACTION 138 6.7.1 EQUILIBRIUM PRESSURE AT A FIXED TEMPERATURE 138 6.7.2 EFFECT OF POLYMORPHIC TRANSITION 143 6.8 EVALUATION OF GIBBS ENERGY AND FUGACITY AT HIGH PRESSURE USING EQUATIONS OF STATES 145 6.8.1 BIRCH-MURNAGHAN EQUATION OF STATE 146 6.8.2 VINET EQUATION OF STATE 146 6.8.3 REDLICH-KWONG AND RELATED EQUATIONS OF STATE FOR FLUIDS^ 147 6.9 SCHREINEMAKERS' PRINCIPLES 148 6.9.1 ENUMERATING DIFFERENT TYPES OF EQUILIBRIA 149 6.9.2 SELF-CONSISTENT STABILITY CRITERIA 150 6.9.3 EFFECT OF AN EXCESS PHASE 151 6.9.4 /'CONCLUDING REMARKS 151 / 7 THERMAL PRESSURE, EARTH'S INTERIOR AND ADIABATIC PROCESSES 153 7.1 THERMAL PRESSURE 153 7.1.1 THERMODYNAMIC RELATIONS 153 7.1.2 CORE OF THE EARTH 155 7.1.3 MAGMA-HYDROTHERMAL SYSTEM 157 7.2 ADIABATIC TEMPERATURE GRADIENT 159 7.3 TEMPERATURE GRADIENTS IN THE EARTH'S MANTLE AND OUTER CORE . 161 7.3.1 UPPER MANTLE 161 CONTENTS 7.3.2 LOWER MANTLE AND CORE 163 7.4 ISENTROPIC MELTING IN THE EARTH'S INTERIOR 165 7.5 THE EARTH'S MANTLE AND CORE: LINKING THERMODYNAMICS AND SEISMIC VELOCITIES 169 7.5.1 RELATIONS AMONG ELASTIC PROPERTIES AND SOUND VELOCITIES 169 7.5.2 RADIAL DENSITY VARIATION 171 7.5.3 TRANSITION ZONE IN THE EARTH'S MANTLE 175 7.6 JOULE-THOMPSON EXPERIMENT OF ADIABATIC FLOW 177 7.7 ADIABATIC FLOW WITH CHANGE OF KINETIC AND POTENTIAL ENERGIES. 180 7.7.1 HORIZONTAL FLOW WITH CHANGE OF KINETIC ENERGY: BERNOULLI EQUATION 181 7.7.2 VERTICAL FLOW 182 7.8 ASCENT OF MATERIAL WITHIN THE EARTH'S INTERIOR 184 7.8.1 IRREVERSIBLE DECOMPRESSION AND MELTING OF MANTLE ROCKS 185 7.8.2 THERMAL EFFECT OF VOLATILE ASCENT: COUPLING FLUID DYNAMICS AND THERMODYNAMICS 187 THERMODYNAMICS OF SOLUTIONS 189 8.1 CHEMICAL POTENTIAL AND CHEMICAL EQUILIBRIUM 189 8.2 PARTIAL MOLAR PROPERTIES 193 8.3 DETERMINATION OF PARTIAL MOLAR PROPERTIES 195 8.3.1 BINARY SOLUTIONS 195 8.3.2 MULTICOMPONENT SOLUTIONS 197 8.4 FUGACITY AND ACTIVITY OF A COMPONENT IN SOLUTION 200 8.5 DETERMINATION OF ACTIVITY OF A COMPONENT USING GIBBS-DUHEM RELATION ' 203 8.6 MOLAR PROPERTIES OF A SOLUTION 205 8.6.1 FORMULATIONS 205 8.6.2 ENTROPY OF MIXING AND CHOICE OF ACTIVITY EXPRESSION . 207 8.7 IDEAL SOLUTION AND EXCESS THERMODYNAMIC PROPERTIES 207 8.7.1 THERMODYNAMIC RELATIONS 207 8.7.2 IDEALITY OF/MIXING: REMARK ON THE CHOICE OF COMPONENTS AND PROPERTIES 209 8.8 SOLUTE AND SOLVENT BEHAVIORS IN DILUTE SOLUTION 210 8.8.1 / HENRY'S LAW 210 8.8.2 RAOULT'S LAW 213 8.9 SPECIATION OF WATER IN SILICATE MELT 215 8.10 STANDARD STATES: RECAPITULATIONS AND COMMENTS 219 8.11 STABILITY OF A SOLUTION 221 8.11.1 INTRINSIC STABILITY AND INSTABILITY OF A SOLUTION 221 8.11.2 EXTRINSIC INSTABILITY: DECOMPOSITION OF A SOLID SOLUTION 225 8.12 SPINODAL, CRITICAL AND BINODAL (SOLVUS) CONDITIONS 226 8.12.1 THERMODYNAMIC FORMULATIONS 226 CONTENTS XVII 8.12.2 UPPER AND LOWER CRITICAL TEMPERATURES 232 8.13 EFFECT OF COHERENCY STRAIN ON EXSOLUTION 234 8.14 SPINODAL DECOMPOSITION 236 8.15 SOLVUS THERMOMETRY 237 8.16 CHEMICAL POTENTIAL IN A FIELD 239 8.16.1 FORMULATIONS 239 8.16.2 APPLICATIONS 240 8.17 OSMOTIC EQUILIBRIUM 244 8.17.1 OSMOTIC PRESSURE AND REVERSE OSMOSIS 244 8.17.2 OSMOTIC COEFFICIENT 245 8.17.3 DETERMINATION OF MOLECULAR WEIGHT OF A SOLUTE 246 9 THERMODYNAMIC SOLUTION AND MIXING MODELS: NON-ELECTROLYTES 249 9.1 IONIC SOLUTIONS 249 9.1.1 SINGLE SITE, SUBLATTICE AND RECIPROCAL SOLUTION MODELS 250 9.1.2 DISORDERED SOLUTIONS 254 9.1.3 COUPLED SUBSTITUTIONS 255 9.1.4 IONIC MELT: TEMKIN AND OTHER MODELS 256 9.2 MIXING MODELS IN BINARY SYSTEMS 256 9.2.1 GUGGENHEIM OR REDLICH-KISTER, SIMPLE MIXTURE AND REGULAR SOLUTION MODELS 257 9.2.2 SUBREGULAR MODEL 259 9.2.3 DARKEN'S QUADRATIC FORMULATION 261 9.2.4 QUASI-CHEMICAL AND RELATED MODELS 263 9.2.5 ATHERMAL, FLORY-HUGGINS AND NRTL (NON-RANDOM TWO SITE) MODELS 266 9.2.6 VAN LAAR MODEL 268 9.2.7 ASSOCIATED SOLUTIONS 270 9.3 MULTICOMPONENT SOLUTIONS 273 9.3.1 POWER SERIES MULTICOMPONENT MODELS 274 9.3.2 PROJECTED MULTICOMPONENT MODELS 275 9.3.3 COMPARISON BETWEEN POWER SERIES AND PROJECTED METHODS 277 9.3.4 ESTIMATION OF HIGHER ORDER INTERACTION TERMS 277 9.3.5 SOLID/SOLUTIONS WITH MULTI-SITE MIXING 278 9.3.6 CONCLUDING REMARKS 278 3 10 EQUILIBRIA INVOLVING SOLUTIONS AND GASEOUS MIXTURES 281 10.1 EXTENT AND EQUILIBRIUM CONDITION OF A REACTION 281 10.2 GIBBS FREE ENERGY CHANGE AND AFFINITY OF A REACTION 283 10.3 GIBBS PHASE RULE AND DUHEM'S THEOREM 284 10.3.1 PHASE RULE 285 10.3.2 DUHEM'S THEOREM 287 10.4 EQUILIBRIUM CONSTANT OF A CHEMICAL REACTION 289 10.4.1 DEFINITION AND RELATION WITH ACTIVITY PRODUCT 289 XVIII CONTENTS 10.4.2 PRESSURE AND TEMPERATURE DEPENDENCES OF EQUILIBRIUM CONSTANT 291 10.5 SOLID-GAS REACTIONS 292 10.5.1 CONDENSATION OF SOLAR NEBULA 292 10.5.2 SURFACE-ATMOSPHERE INTERACTION IN VENUS 296 10.5.3 METAL-SILICATE REACTION IN METEORITE MEDIATED BY DRY GAS PHASE 297 10.5.4 EFFECT OF VAPOR COMPOSITION ON EQUILIBRIUM TEMPERATURE: T VS. X V SECTIONS 299 10.5.5 VOLATILE COMPOSITIONS: METAMORPHIC AND MAGMATIC SYSTEMS 303 10.6 EQUILIBRIUM TEMPERATURE BETWEEN SOLID AND MELT 305 10.6.1 EUTECTIC AND PERITECTIC SYSTEMS 305 10.6.2 SYSTEMS INVOLVING SOLID SOLUTION 308 10.7 AZEOTROPIC SYSTEMS 310 10.8 READING SOLID-LIQUID PHASE DIAGRAMS 312 10.8.1 EUTECTIC AND PERITECTIC SYSTEMS 312 10.8.2 CRYSTALLIZATION AND MELTING OF A BINARY SOLID SOLUTION . 314 10.8.3 INTERSECTION OF MELTING LOOP AND A SOLVUS 315 10.8.4 TERNARY SYSTEMS 317 10.9 NATURAL SYSTEMS: GRANITES AND LUNAR BASALTS 319 10.9.1 GRANITES 319 10.9.2 LUNAR BASALTS 321 10.10 PRESSURE DEPENDENCE OF EUTECTIC TEMPERATURE AND COMPOSITION . 322 10.11 REACTIONS IN IMPURE SYSTEMS 324 10.11.1 REACTIONS INVOLVING SOLID SOLUTIONS 324 10.11.2 SOLVED PROBLEM 329 10.11.3 REACTIONS INVOLVING SOLID SOLUTIONS AND GASEOUS MIXTURE / 331 10.12 RETRIEVAL OF ACTIVITY COEFFICIENT FROM PHASE EQUILIBRIA 335 10.13 EQUILIBRIUM ABUNDANCE AND COMPOSITIONS OF PHASES 337 10.13.1 CLOSED SYSTEM AT CONSTANT P-T 337 10.13.2 CONDITIONS OTHER THAN CONSTANT P-T 342 / 11 ELEMENT FRACTIONATION IN GEOLOGICAL SYSTEMS 347 11.1 FRACTIONATION OF MAJOR ELEMENTS 347 11.1.1 EXCHANGE EQUILIBRIUM AND DISTRIBUTION COEFFICIENT. 347 11:1.2 TEMPERATURE AND PRESSURE DEPENDENCE OF K D 349 11.1.3 COMPOSITIONAL DEPENDENCE OF K D 350 11.1.4 THERMOMETRIC FORMULATION 353 11.2 TRACE ELEMENT FRACTIONATION BETWEEN MINERAL AND MELT 354 11.2.1 THERMODYNAMIC FORMULATIONS 354 11.2.2 ILLUSTRATIVE APPLICATIONS 359 11.2.3 ESTIMATION OF PARTITION COEFFICIENT 360 CONTENTS XIX 11.3 METAL-SILICATE FRACTIONATION: MAGMA OCEAN AND CORE FORMATION . 363 11.3.1 PRESSURE DEPENDENCE OF METAL-SILICATE PARTITION COEFFICIENTS 367 11.3.2 PRESSURE DEPENDENCE OF METAL-SILICATE DISTRIBUTION COEFFICIENTS 369 11.3.3 PRESSURE DEPENDENCIES OF NI VS. CO PARTITION- AND DISTRIBUTION-COEFFICIENTS 370 11.4 EFFECT OF TEMPERATURE AND F(O2) ON METAL-SILICATE PARTITION COEFFICIENT 372 12 ELECTROLYTE SOLUTIONS AND ELECTROCHEMISTRY 375 12.1 CHEMICAL POTENTIAL 376 12.2 ACTIVITY AND ACTIVITY COEFFICIENTS: MEAN ION FORMULATIONS 377 12.3 MASS BALANCE RELATION 378 12.4 STANDARD STATE CONVENTION AND PROPERTIES 378 12.4.1 SOLUTE STANDARD STATE : 378 12.4.2 STANDARD STATE PROPERTIES OF IONS 380 12.5 EQUILIBRIUM CONSTANT, SOLUBILITY PRODUCT & ION ACTIVITY PRODUCT 381 12.6 ION ACTIVITY COEFFICIENTS AND IONIC STRENGTH 382 12.6.1 DEBYE-HUCKEL AND RELATED METHODS 382 12.6.2 MEAN-SALT METHOD 384 12.7 MULTICOMPONENT HIGH IONIC STRENGTH AND HIGH P-T SYSTEMS 385 12.8 ACTIVITY DIAGRAMS OF MINERAL STABILITIES 389 12.8.1 METHOD OF CALCULATION 389 12.8.2 ILLUSTRATIVE APPLICATIONS 392 12.9 ELECTROCHEMICAL CELLS AND NERNST EQUATION 396 12.9.1 ELECTROCHEMICAL CELL AND HALF-CELLS 396 12.9.2 EMF OF A CELL AND NERNST EQUATION 397 12.9.3 STANDARD EMF, OF HALF-CELL AND FULL-CELL REACTIONS . 398 12.10 HYDROGEN ION ACTIVITYJFTN AQUEOUS SOLUTION: PH AND ACIDITY . 399 12.11 EH-PH STABILITY DIAGRAMS 399 12.12 CHEMICAL MODEL OF SEA WATER 403 / 13 SURFACE EFFECTS ./ 409 13.1 SURFACE TENSION AND ENERGETIC CONSEQUENCES 409 13.2 SURFACE THERMODYNAMIC FUNCTIONS AND ADSORPTION 411 13.3 TEMPERATURE, PRESSURE AND COMPOSITIONAL EFFECTS ON SURFACE TENSION 414 13.4 CRACK PROPAGATION 415 13.5 EQUILIBRIUM SHAPE OF CRYSTALS 416 13.6 CONTACT AND DIHEDRAL ANGLES 418 13.7 DIHEDRAL ANGLE AND INTERCONNECTED MELT OR FLUID CHANNELS 423 13.7.1 CONNECTIVITY OF MELT PHASE AND THIN MELT FILM IN ROCKS 423 XX CONTENTS 13.7.2 CORE FORMATION IN EARTH AND MARS 425 13.8 SURFACE TENSION AND GRAIN COARSENING 428 13.9 EFFECT OF PARTICLE SIZE ON SOLUBILITY 430 13.10 COARSENING OF EXSOLUTION LAMELLAE 432 13.11 NUCLEATION 434 13.11.1 THEORY 434 13.11.2 MICROSTRUCTURES OF METALS IN METEORITES 436 13.12 EFFECT OF PARTICLE SIZE ON MINERAL STABILITY 438 APPENDIX A RATE OF ENTROPY PRODUCTION AND KINETIC IMPLICATIONS 443 A.I RATE OF ENTROPY PRODUCTION: CONJUGATE FLUX AND FORCE IN IRREVERSIBLE PROCESSES 443 A.2 RELATIONSHIP BETWEEN FLUX AND FORCE 447 A.3 HEAT AND CHEMICAL DIFFUSION PROCESSES: COMPARISON WITH THE EMPIRICAL LAWS 448 A.4 ONSAGER RECIPROCITY RELATION AND THERMODYNAMIC APPLICATIONS 450 APPENDIX B REVIEW OF SOME MATHEMATICAL RELATIONS 453 B.I TOTAL AND PARTIAL DIFFERENTIALS 453 B.2 STATE FUNCTION, EXACT AND INEXACT DIFFERENTIALS, AND LINE INTEGRALS 454 B.3 RECIPROCITY RELATION 456 B.4 IMPLICIT FUNCTION 457 B.5 INTEGRATING FACTOR 458 B.6 TAYLOR SERIES 459 APPENDIX C ESTIMATION OF THERMODYNAMIC PROPERTIES OF SOLIDS 461 C.I ESTIMATION OF CP AND §'OF END-MEMBERS FROM CONSTITUENT OXIDES .I 461 C.I.I LINEAR COMBINATION OF COMPONENTS 461 C.1.2 VOLUME EFFECT ON ENTROPY 462 C.1.3 ELECTRONIC ORDERING EFFECT ON ENTROPY 462 C.2 POLYHEDRAL APPROXIMATION: ENTHALPY, ENTROPY AND VOLUME. 463 C.3 ESTIMATION OF ENTHALPY OF MIXING 466 C3.1 ELASTIC EFFECT 466 C.3.2 CRYSTAL-FIELD EFFECT 468 REFERENCES 471 AUTHOR INDEX 491 SUBJECT INDEX 497
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author Ganguly, Jibamitra 1938-
author_GND (DE-588)111566797
author_facet Ganguly, Jibamitra 1938-
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callnumber-first Q - Science
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callnumber-search QE515.5.T46
callnumber-sort QE 3515.5 T46
callnumber-subject QE - Geology
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discipline Maschinenbau / Maschinenwesen
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Physik
Geographie
discipline_str_mv Maschinenbau / Maschinenwesen
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Geographie
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physical XXV, 501 S. Ill., graph. Darst.
publishDate 2008
publishDateSearch 2008
publishDateSort 2008
publisher Springer
record_format marc
spelling Ganguly, Jibamitra 1938- Verfasser (DE-588)111566797 aut
Thermodynamics in Earth and Planetary Sciences Jibamitra Ganguly
Berlin [u.a.] Springer 2008
XXV, 501 S. Ill., graph. Darst.
txt rdacontent
n rdamedia
nc rdacarrier
Geologie
Geochemistry
Planets Geology
Thermal analysis in earth sciences
Thermodynamics
Thermodynamik (DE-588)4059827-5 gnd rswk-swf
Geowissenschaften (DE-588)4020288-4 gnd rswk-swf
Planetologie (DE-588)4233970-4 gnd rswk-swf
Geowissenschaften (DE-588)4020288-4 s
Thermodynamik (DE-588)4059827-5 s
DE-604
Planetologie (DE-588)4233970-4 s
text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3026498&prov=M&dok_var=1&dok_ext=htm Inhaltstext
HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016299952&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle Ganguly, Jibamitra 1938-
Thermodynamics in Earth and Planetary Sciences
Geologie
Geochemistry
Planets Geology
Thermal analysis in earth sciences
Thermodynamics
Thermodynamik (DE-588)4059827-5 gnd
Geowissenschaften (DE-588)4020288-4 gnd
Planetologie (DE-588)4233970-4 gnd
subject_GND (DE-588)4059827-5
(DE-588)4020288-4
(DE-588)4233970-4
title Thermodynamics in Earth and Planetary Sciences
title_auth Thermodynamics in Earth and Planetary Sciences
title_exact_search Thermodynamics in Earth and Planetary Sciences
title_exact_search_txtP Thermodynamics in Earth and Planetary Sciences
title_full Thermodynamics in Earth and Planetary Sciences Jibamitra Ganguly
title_fullStr Thermodynamics in Earth and Planetary Sciences Jibamitra Ganguly
title_full_unstemmed Thermodynamics in Earth and Planetary Sciences Jibamitra Ganguly
title_short Thermodynamics in Earth and Planetary Sciences
title_sort thermodynamics in earth and planetary sciences
topic Geologie
Geochemistry
Planets Geology
Thermal analysis in earth sciences
Thermodynamics
Thermodynamik (DE-588)4059827-5 gnd
Geowissenschaften (DE-588)4020288-4 gnd
Planetologie (DE-588)4233970-4 gnd
topic_facet Geologie
Geochemistry
Planets Geology
Thermal analysis in earth sciences
Thermodynamics
Thermodynamik
Geowissenschaften
Planetologie
url http://deposit.dnb.de/cgi-bin/dokserv?id=3026498&prov=M&dok_var=1&dok_ext=htm
http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016299952&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv AT gangulyjibamitra thermodynamicsinearthandplanetarysciences