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An Introduction to Statistical Thermodynamicsby Terrell L Hill
Synopses & ReviewsPublisher Comments:"A large number of exercises of a broad range of difficulty make this book even more useful…a good addition to the literature on thermodynamics at the undergraduate level." — Philosophical Magazine Although written on an introductory level, this wideranging text provides extensive coverage of topics of current interest in equilibrium statistical mechanics. Indeed, certain traditional topics are given somewhat condensed treatment to allow room for a survey of more recent advances. The book is divided into four major sections. Part I deals with the principles of quantum statistical mechanics and includes discussions of energy levels, states and eigenfunctions, degeneracy and other topics. Part II examines systems composed of independent molecules or of other independent subsystems. Topics range from ideal monatomic gas and monatomic crystals to polyatomic gas and configuration of polymer molecules and rubber elasticity. An examination of systems of interacting molecules comprises the nine chapters in Part Ill, reviewing such subjects as lattice statistics, imperfect gases and dilute liquid solutions. Part IV covers quantum statistics and includes sections on FermiDirac and BoseEinstein statistics, photon gas and freevolume theories of quantum liquids. Each chapter includes problems varying in difficulty — ranging from simple numerical exercises to smallscale "research" propositions. In addition, supplementary reading lists for each chapter invite students to pursue the subject at a more advanced level. Readers are assumed to have studied thermodynamics, calculus, elementary differential equations and elementary quantum mechanics. Because of the flexibility of the chapter arrangements, this book especially lends itself to use in a oneor twosemester graduate course in chemistry, a onesemester senior or graduate course in physics or an introductory course in statistical mechanics. Synopsis:Excellent basic text offers wideranging coverage of quantum statistical mechanics, systems of interacting molecules, quantum statistics, more.
Synopsis:Part I deals with principles of quantum statistical mechanics. Part II examines systems composed of independent molecules or of other independent subsystems. Part III considers systems of interacting molecules and Part IV covers quantum statistics and includes sections on FermiDirac and BoseEinste
Synopsis:Fourpart treatment covers principles of quantum statistical mechanics, systems composed of independent molecules or other independent subsystems, and systems of interacting molecules, concluding with a consideration of quantum statistics. Synopsis:Part I deals with principles of quantum statistical mechanics. Part II examines systems composed of independent molecules or other independent subsystems. Part III considers systems of interacting molecules, and Part IV covers quantum statistics and includes sections on FermiDirac and BoseEinstein statistics, photon gas, and freevolume theories of quantum liquids. Table of ContentsPART I. PRINCIPLES OF QUANTUM STATISTICAL MECHANICS
CHAPTER 1. STATISTICALMECHANICAL ENSEMBLES AND THERMODYNAMICS 11 Introduction 12 Ensembles and postulates 13 Canonical ensemble 14 Canonical ensemble and thermodynamics 15 Grand canonical ensemble 16 Micronomical ensemble 17 Other ensembles CHAPTER 2. FURTHER DISCUSSION OF ENSEMBLES AND THERMODYNAMICS 21 Fluctuations 22 Thermodynamic equivalence of ensembles 23 Second law of thermodynamics 24 Third law of thermodynamics PART II. SYSTEMS COMPOSED OF INDEPENDENT MOLECULES OR SUBSYSTEMS AND INDISTINGUISHABLE MOLECULES OR SUBSYSTEMS CHAPTER 3. GENERAL RELATIONS FOR INDEPENDENT DISTINGUISHABLE AND INDISTINGUISHABLE MOLECULES OR SUBSYSTEMS 31 Independent and distinguishable molecules or subsystems 32 Independent and indistinguishable molecules or subsystems 33 Energy distribution among independent molecules 34 "Ensembles" of small, independent "systems" CHAPTER 4. IDEAL MONATOMIC GAS 41 Energy levels and canonical ensemble partion function 42 Thermodynamic functions 43 Grand ensemble and others 44 Internal degrees of freedom CHAPTER 5. MONATOMIC CRYSTALS 51 Einstien model of a monatomic crystal 52 General treatment of molecular vibrations in a monatomic crystal 53 The Debye approximation 54 Exact treatments of the frequency distribution problem CHAPTER 6. CLASSICAL STATISTICAL MECHANICS 61 Introductory examples 62 More general systems 63 Phase space and ensembles in classical statistics 64 MaxwellBoltzmann velocity distribution "CHAPTER 7. INTRODUCTION TO LATTICE STATISTICS: ADSORPTION, BINDING, AND TITRATION PROBLEMS" 71 Ideal lattice gas (Langmiur adsorption theory) 72 Grand partition function for a single independent site or subsystem 73 Systems composed of independent and indistinguishable subsystems 74 Elasticity of and adsorption on a linear polymer chain CHAPTER 8. IDEAL DIATOMIC GAS 81 Independence of degrees of freedom 82 Vibration 83 Rotation 84 Thermodynamic functions CHAPTER 9. IDEAL POLYATOMIC GAS 91 Potential energy surface 92 Vibration 93 Rotation 94 Thermodynamic functions 95 Hindred internal rotation in ethane 96 Hindred translation on a surface CHAPTER 10. CHEMICAL EQUILIBRIUM IN IDEAL GAS MIXTURES 101 General relations 102 Statistical derivation in a special case 103 Fluctuations in a simple chemical equilibrium 104 Examples of chemical equilibria CHAPTER 11. THE RATE OF CHEMICAL REACTIONS IN IDEAL GAS MIXTURES 111 Potential surfaces 112 Absolute rate theory 113 A nonchemical application of the Eyring theory CHAPTER 12. IDEAL GAS IN AN ELECTRIC FIELD 121 Thermodynamic background 122 Statisticalmechanical background 123 Dilute gas in an electric field 124 Lattice of noninteracting magnetic dipoles CHAPTER 13. CONFIGURATION OF POLYMER MOLECULES AND RUBBER ELASTICITY 131 Freely jointed chain 132 Gaussian probability distribution for free polymer molecules 133 Rubber elasticity PART III. SYSTEMS OF INTERACTING MOLECULES CHAPTER 14. LATTICE STATISTICS 141 Onedimensional lattice gas (adsorption) 142 Elasticity of a linear polymer chain 143 Twodimensional square lattice 144 BraggWilliams approximation 145 Quasichemical approximation 146 Firstorder phase transitions CHAPTER 15. IMPERFECT GASES 151 Virial expansion of a onecomponent gas 152 Onecomponent classical monatomic gas 153 Twocomponent imperfect gas 154 Imperfect gas near a surface 155 Imperfect gas in an electric field CHAPTER 16. APPROXIMATE CELL AND HOLE THEORIES OF THE LIQUID STATE 161 The van der Waals equation of state 162 Cell theories of liquids 163 Hole theories of liquids 164 Law of corresponding states CHAPTER 17. DISTRIBUTION FUNCTIONS IN CLASSICAL MONATOMIC FLUIDS 171 Radial distribution function 172 Relation of thermodynamic functions to g( r ) 173 Integral equation for g(r;x) 174 Formal definition of distribution functions 175 Surface tension CHAPTER 18. DILUTE ELECTROLYTE SOLUTIONS AND PLASMAS 181 DebyeHückel theory 182 Kirkwood theory of solutions 183 Electrolyte solutions CHAPTER 19. DILUTE LIQUID SOLUTIONS 191 McMillanMayer solution theory 192 Applications of the McMillanMayer theory 193 Constant pressure solution theory CHAPTER 20. THEORY OF CONCENTRATED SOLUTIONS 201 Lattice theory of solutions 202 Cell theories of binary solutions 203 "Randommixing, correspondingstates theory " 204 Conformal solution theory CHAPTER 21. POLYMER AND POLYELECTROLYTE SOLUTIONS AND GELS 211 Wall theory of rubber elasticity 212 FloryHugging polymer solution theory 213 Swelling of polymer gels 214 Swelling of polyelectrolyte gels 215 Isolated polymer or polyelectrolyte molecules in solution 216 Second Virial coefficient in polymer and polyelectrolyte solutions CHAPTER 22. QUANTUM STATISTICS 221 Introduction to FermiDirac and BoseEinstein statistics 222 Ideal FermiDirac gas; electrons in metals 223 Ideal BoseEinstein gas; helium 224 Blackbody radiation (photon gas) 225 Quantum statistics with intermolecular interactions 226 The factors hn and N! in classical statistics 227 Freevolume theories of quantum liquids 228 Gas of symmetrical diatomic modules at low temperatures APPENDIX I. Natural Constants APPENDIX II. MaximumTerm Method APPENDIX III. Method of Undetermined Multipliers APPENDIX IV. The LennardJones Potential APPENDIX V. Normal Coordinate Analysis in a Special Case APPENDIX VI. Vibrational Frequency Distribution in a Solid Continuum APPENDIX VII. Generalized Coordinates INDEX What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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