Statistical Mechanics
by McQuarrie
ISBN: 9781891389153 | Copyright 2000
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Now available from University Science Books at a much lower price, this classic textbook has never been rivaled. It is ideal for a senior or first-year graduate level courses. Statistical Mechanics is the extended version of McQuarrie’s 1984 text _x0014_ Statistical Thermodynamics _x0014_ now out of print. Although our printing of this book carries a 2000 copyright date, this is not a new edition. It is the original first edition, without any changes to the text (except preface). Despite its age, it is still a renowned and accessible introduction to the subject, containing a large number of chapter-ending problems for students.
Published under the University Science Books imprint
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|---|---|
| Statistical Mechanics (pg. Cover) | |
| Contents (pg. v) | |
| Preface (pg. xi) | |
| Chapter 1 INTRODUCTION AND REVIEW (pg. 1) | |
| 1-1 Introduction (pg. 1) | |
| 1-2 Classical Mechanics (pg. 3) | |
| 1-3 Quantum Mechanics (pg. 8) | |
| 1-4 Thermodynamics (pg. 13) | |
| 1-5 Mathematics (pg. 20) | |
| Chapter 2 THE CANONICAL ENSEMBLE (pg. 35) | |
| 2-1 Ensemble Averages (pg. 35) | |
| 2-2 Method of the Most Probable Distribution (pg. 37) | |
| 2-3 The Evaluation of the Undetermined Multipliers, a and B (pg. 40) | |
| 2-4 Thermodynamic Connection (pg. 44) | |
| Chapter 3 OTHER ENSEMBLES AND FLUCTUATIONS (pg. 51) | |
| 3-1 Grand Canonical Ensemble (pg. 51) | |
| 3-2 Other Ensembles (pg. 55) | |
| 3-3 Fluctuations (pg. 57) | |
| Chapter 4 BOLTZMANN STATISTICS, FERMI-DIRAC STATISTICS, AND BOSE-EINSTEIN STATISTICS (pg. 68) | |
| 4-1 The Special Case of Boltzmann Statistics (pg. 68) | |
| 4-2 Fermi-Dirac and Bose-Einstein Statistics (pg. 73) | |
| Chapter 5 IDEAL MONATOMIC GAS (pg. 81) | |
| 5-1 The Translational Partition Function (pg. 81) | |
| 5-2 The Electronic and Nuclear Partition Functions (pg. 83) | |
| 5-3 Thermodynamic Functions (pg. 85) | |
| 5-4 A Digression on Atomic Term Symbols (pg. 87) | |
| Chapter 6 IDEAL DIATOMIC GAS (pg. 91) | |
| 6-1 The Rigid Rotor-Harmonic Oscillator Approximation (pg. 91) | |
| 6-2 The Vibrational Partition Function (pg. 96) | |
| 6-3 The Rotational Partition Function of a Heteronuclear Diatomic Molecule (pg. 98) | |
| 6-4 The Symmetry Requirement of the Total Wave Function of a Homonuclear Diatomic Molecule (pg. 101) | |
| 6-5 The Rotational Partition Function of a Homonuclear Diatomic Molecule (pg. 104) | |
| 6-6 Thermodynamic Functions (pg. 108) | |
| Chapter 7 CLASSICAL STATISTICAL MECHANICS (pg. 113) | |
| 7-1 The Classical Partition Function (pg. 113) | |
| 7-2 Phase Space and the Liouville Equation (pg. 117) | |
| 7-3 Equipartition of Energy (pg. 121) | |
| Chapter 8 IDEAL POLYATOMIC GAS (pg. 129) | |
| 8-1 The Vibrational Partition Function (pg. 130) | |
| 8-2 The Rotational Partition Function (pg. 133) | |
| 8-3 Thermodynamic Functions (pg. 136) | |
| 8-4 Hindered Rotation (pg. 138) | |
| Chapter 9 CHEMICAL EQUILIBRIUM (pg. 142) | |
| 9-1 The Equilibrium Constant in Terms of Partition Functions (pg. 142) | |
| 9-2 Examples of the Calculation of Equilibrium Constants (pg. 144) | |
| 9-3 Thermodynamic Tables (pg. 151) | |
| Chapter 10 QUANTUM STATISTICS (pg. 160) | |
| 10-1 A Weakly Degenerate Ideal Fermi-Dirac Gas (pg. 162) | |
| 10-2 A Strongly Degenerate Ideal Fermi-Dirac Gas (pg. 164) | |
| 10-3 A Weakly Degenerate Ideal Bose-Einstein Gas (pg. 169) | |
| 10-4 A Strongly Degenerate Ideal Bose-Einstein Gas (pg. 171) | |
| 10-5 An Ideal Gas of Photons (Blackbody Radiation) (pg. 177) | |
| 10-6 The Density Matrix (pg. 182) | |
| 10-7 The Classical Limit from the Quantum Mechanical Expression for Q (pg. 185) | |
| Chapter 11 CRYSTALS (pg. 194) | |
| 11-1 The Vibrational Spectrum of a Monatomic Crystal (pg. 194) | |
| 11-2 The Einstein Theory of the Specific Heat of Crystals (pg. 197) | |
| 11-3 The Debye Theory of the Heat Capacity of Crystals (pg. 200) | |
| 11-4 Introduction to Lattice Dynamics (pg. 206) | |
| 11-5 Phonons (pg. 212) | |
| 11-6 Point Defects in Solids (pg. 214) | |
| Chapter 12 IMPERFECT GASES (pg. 222) | |
| 12-1 The Virial Equation of State from the Grand Partition Function (pg. 224) | |
| 12-2 Virial Coefficients in the Classical Limit (pg. 226) | |
| 12-3 Second Virial Coefficient (pg. 233) | |
| 12-4 Third Virial Coefficient (pg. 237) | |
| 12-5 Higher Virial Coefficients for the Hard-Sphere Potential (pg. 239) | |
| 12-6 Quantum Corrections to B2(T) (pg. 241) | |
| 12-7 The Law of Corresponding States (pg. 243) | |
| 12-8 Conclusion (pg. 245) | |
| Chapter 13 DISTRIBUTION FUNCTIONS IN CLASSICAL MONATOMIC LIQUIDS (pg. 254) | |
| 13-1 Introduction (pg. 255) | |
| 13-2 Distribution Functions (pg. 257) | |
| 13-3 Relation of Thermodynamic Functions to g(r) (pg. 261) | |
| 13-4 The Kirkwood Integral Equation for g(r) (pg. 264) | |
| 13-5 The Direct Correlation Function (pg. 268) | |
| 13-6 Density Expansions of the Various Distribution Functions (pg. 270) | |
| 13-7 Derivation of Two Additional Integral Equations (pg. 274) | |
| 13-8 Density Expansions of the Various Integral Equations (pg. 277) | |
| 13-9 Comparisons of the Integral Equations to Experimental Data (pg. 279) | |
| Chapter 14 PERTURBATION THEORIES OF LIQUIDS (pg. 300) | |
| 14-1 Statistical Mechanical Perturbation Theory (pg. 302) | |
| 14-2 The van der Waals Equation (pg. 304) | |
| 14-3 Several Perturbation Theories of Liquids (pg. 306) | |
| Chapter 15 SOLUTIONS OF STRONG ELECTROLYTES (pg. 326) | |
| 15-1 The Debye-Huckel Theory (pg. 328) | |
| 15-2 Some Statistical Mechanical Theories of Ionic Solutions (pg. 340) | |
| Chapter 16 KINETIC THEORY OF GASES AND MOLECULAR COLLISIONS (pg. 357) | |
| 16-1 Elementary Kinetic Theory of Transport in Gases (pg. 358) | |
| 16-2 Classical Mechanics and Molecular Collisions (pg. 365) | |
| 16-3 Mean-Square Momentum Change During a Collision (pg. 370) | |
| Chapter 17 CONTINUUM MECHANICS (pg. 379) | |
| 17-1 Derivation of the Continuity Equations (pg. 380) | |
| 17-2 Some Applications of the Fundamental Equations of Continuum Mechanics (pg. 386) | |
| 17-3 The Navier-Stokes Equation and Its Solution (pg. 391) | |
| Chapter 18 KINETIC THEORY OF GASES AND THE BOLTZMANN EQUATION (pg. 402) | |
| 18-1 Phase Space and the Liouville Equation (pg. 402) | |
| 18-2 Reduced Distribution Functions (pg. 405) | |
| 18-3 Fluxes in Dilute Gases (pg. 406) | |
| 18-4 The Boltzmann Equation (pg. 409) | |
| 18-5 Some General Consequences of the Boltzmann Equation (pg. 411) | |
| Chapter 19 TRANSPORT PROCESSES IN DILUTE GASES (pg. 426) | |
| 19-1 Outline of the Chapman-Enskog Method (pg. 426) | |
| 19-2 Summary of Formulas (pg. 430) | |
| 19-3 Transport Coefficients for Various Intermolecular Potentials (pg. 433) | |
| 19-4 Extensions of the Boltzmann Equation (pg. 440) | |
| Chapter 20 THEORY OF BROWNIAN MOTION (pg. 452) | |
| 20-1 The Langevin Equation (pg. 452) | |
| 20-2 The Fokker-Planck Equation and the Chandrasekhar Equation (pg. 456) | |
| Chapter 21 THE TIME-CORRELATION FUNCTION FORMALISM, I (pg. 467) | |
| 21-1 Absorption of Radiation (pg. 470) | |
| 21-2 Classical Theory of Light Scattering (pg. 476) | |
| 21-3 Raman Light Scattering (pg. 484) | |
| 21-4 An Elementary Derivation of the Basic Formulas (pg. 489) | |
| 21-5 Dielectric Relaxation (pg. 495) | |
| 21-6 Time-Correlation Function Formalism of Molecular Spectroscopy (pg. 499) | |
| 21-7 Derivation of the Basic Formulas from the Liouville Equation (pg. 507) | |
| 21-8 Time-Correlation Function Expressions for the Thermal Transport Coefficients (pg. 512) | |
| 21-9 Applications of the Time-Correlation Function Formulas for the Thermal Transport Coefficients (pg. 522) | |
| Chapter 22 THE TIME-CORRELATION FUNCTION FORMALISM, II (pg. 543) | |
| 22-1 Inelastic Neutron Scattering (pg. 544) | |
| 22-2 The Weiner-Khintchine Theorem (pg. 553) | |
| 22-3 Laser Light Scattering (pg. 561) | |
| 22-4 The Memory Function (pg. 572) | |
| 22-5 Derivation of Thermal Transport Coefficients (pg. 579) | |
| Appendix A VALUES OF SOME PHYSICAL CONSTANTS AND ENERGY CONVERSION FACTORS (pg. 593) | |
| Appendix B FOURIER INTEGRALS AND THE DIRAC DELTA FUNCTION (pg. 595) | |
| Appendix C DEBYE HEAT CAPACITY FUNCTION (pg. 599) | |
| Appendix D HARD-SPHERE RADIAL DISTRIBUTION FUNCTION (pg. 600) | |
| Appendix E TABLES FOR THE m-6-8 POTENTIAL (pg. 604) | |
| Appendix F DERIVATION OF THE GOLDEN RULE OF PERTURBATION THEORY (pg. 608) | |
| Appendix G THE DIRAC BRA AND KET NOTATION (pg. 612) | |
| Appendix H THE HEISENBERG TIME-DEPENDENT REPRESENTATION (pg. 615) | |
| Appendix I THE POYNTING FLUX VECTOR (pg. 618) | |
| Appendix J THE RADIATION EMITTED BY AN OSCILLATING DIPOLE (pg. 622) | |
| Appendix K DIELECTRIC CONSTANT AND ABSORPTION (pg. 626) | |
| Index (pg. 631) | |
| Back Cover (pg. 644) | |
Donald A. McQuarrie
As the author of landmark chemistry books and textbooks, Donald McQuarrie's name is synonymous with excellence in chemical education. From his classic text on Statistical Mechanics to his recent quantum-first tour de force on Physical Chemistry, McQuarrie's best selling textbooks are highly acclaimed by the chemistry community. McQuarrie received his PhD from the University of Oregon, and is Professor Emeritus from the Department of Chemistry at the University of California, Davis.|
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