An Introduction to Statistical Thermodynamics

PART I. PRINCIPLES OF QUANTUM STATISTICAL MECHANICS
CHAPTER 1. STATISTICAL-MECHANICAL ENSEMBLES AND THERMODYNAMICS
1-1 Introduction
1-2 Ensembles and postulates
1-3 Canonical ensemble
1-4 Canonical ensemble and thermodynamics
1-5 Grand canonical ensemble
1-6 Micronomical ensemble
1-7 Other ensembles
CHAPTER 2. FURTHER DISCUSSION OF ENSEMBLES AND THERMODYNAMICS
2-1 Fluctuations
2-2 Thermodynamic equivalence of ensembles
2-3 Second law of thermodynamics
2-4 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
3-1 Independent and distinguishable molecules or subsystems
3-2 Independent and indistinguishable molecules or subsystems
3-3 Energy distribution among independent molecules
3-4 "Ensembles" of small, independent "systems"
CHAPTER 4. IDEAL MONATOMIC GAS
4-1 Energy levels and canonical ensemble partion function
4-2 Thermodynamic functions
4-3 Grand ensemble and others
4-4 Internal degrees of freedom
CHAPTER 5. MONATOMIC CRYSTALS
5-1 Einstien model of a monatomic crystal
5-2 General treatment of molecular vibrations in a monatomic crystal
5-3 The Debye approximation
5-4 Exact treatments of the frequency distribution problem
CHAPTER 6. CLASSICAL STATISTICAL MECHANICS
6-1 Introductory examples
6-2 More general systems
6-3 Phase space and ensembles in classical statistics
6-4 Maxwell-Boltzmann velocity distribution
"CHAPTER 7. INTRODUCTION TO LATTICE STATISTICS: ADSORPTION, BINDING, AND TITRATION PROBLEMS"
7-1 Ideal lattice gas (Langmiur adsorption theory)
7-2 Grand partition function for a single independent site or subsystem
7-3 Systems composed of independent and indistinguishable subsystems
7-4 Elasticity of and adsorption on a linear polymer chain
CHAPTER 8. IDEAL DIATOMIC GAS
8-1 Independence of degrees of freedom
8-2 Vibration
8-3 Rotation
8-4 Thermodynamic functions
CHAPTER 9. IDEAL POLYATOMIC GAS
9-1 Potential energy surface
9-2 Vibration
9-3 Rotation
9-4 Thermodynamic functions
9-5 Hindred internal rotation in ethane
9-6 Hindred translation on a surface
CHAPTER 10. CHEMICAL EQUILIBRIUM IN IDEAL GAS MIXTURES
10-1 General relations
10-2 Statistical derivation in a special case
10-3 Fluctuations in a simple chemical equilibrium
10-4 Examples of chemical equilibria
CHAPTER 11. THE RATE OF CHEMICAL REACTIONS IN IDEAL GAS MIXTURES
11-1 Potential surfaces
11-2 Absolute rate theory
11-3 A nonchemical application of the Eyring theory
CHAPTER 12. IDEAL GAS IN AN ELECTRIC FIELD
12-1 Thermodynamic background
12-2 Statistical-mechanical background
12-3 Dilute gas in an electric field
12-4 Lattice of noninteracting magnetic dipoles
CHAPTER 13. CONFIGURATION OF POLYMER MOLECULES AND RUBBER ELASTICITY
13-1 Freely jointed chain
13-2 Gaussian probability distribution for free polymer molecules
13-3 Rubber elasticity
PART III. SYSTEMS OF INTERACTING MOLECULES
CHAPTER 14. LATTICE STATISTICS
14-1 One-dimensional lattice gas (adsorption)
14-2 Elasticity of a linear polymer chain
14-3 Two-dimensional square lattice
14-4 Bragg-Williams approximation
14-5 Quasi-chemical approximation
14-6 First-order phase transitions
CHAPTER 15. IMPERFECT GASES
15-1 Virial expansion of a one-component gas
15-2 One-component classical monatomic gas
15-3 Two-component imperfect gas
15-4 Imperfect gas near a surface
15-5 Imperfect gas in an electric field
CHAPTER 16. APPROXIMATE CELL AND HOLE THEORIES OF THE LIQUID STATE
16-1 The van der Waals equation of state
16-2 Cell theories of liquids
16-3 Hole theories of liquids
16-4 Law of corresponding states
CHAPTER 17. DISTRIBUTION FUNCTIONS IN CLASSICAL MONATOMIC FLUIDS
17-1 Radial distribution function
17-2 Relation of thermodynamic functions to g( r )
17-3 Integral equation for g(r;x)
17-4 Formal definition of distribution functions
17-5 Surface tension
CHAPTER 18. DILUTE ELECTROLYTE SOLUTIONS AND PLASMAS
18-1 Debye-Hueckel theory
18-2 Kirkwood theory of solutions
18-3 Electrolyte solutions
CHAPTER 19. DILUTE LIQUID SOLUTIONS
19-1 McMillan-Mayer solution theory
19-2 Applications of the McMillan-Mayer theory
19-3 Constant pressure solution theory
CHAPTER 20. THEORY OF CONCENTRATED SOLUTIONS
20-1 Lattice theory of solutions
20-2 Cell theories of binary solutions
20-3 "Random-mixing, corresponding-states theory "
20-4 Conformal solution theory
CHAPTER 21. POLYMER AND POLYELECTROLYTE SOLUTIONS AND GELS
21-1 Wall theory of rubber elasticity
21-2 Flory-Hugging polymer solution theory
21-3 Swelling of polymer gels
21-4 Swelling of polyelectrolyte gels
21-5 Isolated polymer or polyelectrolyte molecules in solution
21-6 Second Virial coefficient in polymer and polyelectrolyte solutions
CHAPTER 22. QUANTUM STATISTICS
22-1 Introduction to Fermi-Dirac and Bose-Einstein statistics
22-2 Ideal Fermi-Dirac gas; electrons in metals
22-3 Ideal Bose-Einstein gas; helium
22-4 Blackbody radiation (photon gas)
22-5 Quantum statistics with intermolecular interactions
22-6 The factors hn and N! in classical statistics
22-7 Free-volume theories of quantum liquids
22-8 Gas of symmetrical diatomic modules at low temperatures
APPENDIX I. Natural Constants
APPENDIX II. Maximum-Term Method
APPENDIX III. Method of Undetermined Multipliers
APPENDIX IV. The Lennard-Jones Potential
APPENDIX V. Normal Coordinate Analysis in a Special Case
APPENDIX VI. Vibrational Frequency Distribution in a Solid Continuum
APPENDIX VII. Generalized Coordinates
INDEX