## Statistical Thermodynamics: Fundamentals and ApplicationsThis 2006 textbook discusses the fundamentals and applications of statistical thermodynamics for beginning graduate students in the physical and engineering sciences. Building on the prototypical Maxwell–Boltzmann method and maintaining a step-by-step development of the subject, this book assumes the reader has no previous exposure to statistics, quantum mechanics or spectroscopy. The book begins with the essentials of statistical thermodynamics, pauses to recover needed knowledge from quantum mechanics and spectroscopy, and then moves on to applications involving ideal gases, the solid state and radiation. A full introduction to kinetic theory is provided, including its applications to transport phenomena and chemical kinetics. A highlight of the textbook is its discussion of modern applications, such as laser-based diagnostics. The book concludes with a thorough presentation of the ensemble method, featuring its use for real gases. Numerous examples and prompted homework problems enrich the text. |

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### Contents

robability and Statistics | 7 |

The Statistics of Independent Particles | 29 |

Thermodynamic Properties in the Dilute Limit | 45 |

Problem Set II Statistical Modeling for Thermodynamics | 61 |

15 | 64 |

PART TWO QUANTUM MECHANICS AND SPECTROSCOPY | 69 |

17 | 77 |

Quantum Analysis of Internal Energy Modes | 97 |

Clements of the Solid State | 259 |

Equilibrium Radiation | 275 |

Elementary Kinetic Theory | 289 |

hemical Kinetics | 319 |

The Canonical and Grand Canonical Ensembles | 339 |

Applications of Ensemble Theory to Real Gases | 359 |

Problem Set VIII Ensemble Theory and the Nonideal | 375 |

PART SEVEN APPENDICES | 389 |

Atoms | 119 |

The Spectroscopy of Diatomic Molecules | 129 |

Pi blem Set III Quantum Mechanics and Spectroscopy | 147 |

From Particle to Assembly | 157 |

rhermodynamic Properties of the Ideal Gas | 169 |

Problem Set IV Thermodynamic Properties of the Ideal | 201 |

Concentration and Temperature Measurements | 223 |

Problem Set V Chemical Equilibrium and Diagnostics | 243 |

PART FOUR STATISTICAL THERMODYNAMICS BEYOND | 249 |

E Thermochemical Data for Ideal Gases | 396 |

F Summary of Classical Thermodynamics | 409 |

G Review of Classical Mechanics | 415 |

H Review of Operator Theory | 418 |

K inergyMode Parameters for Molecules | 427 |

Tabulation of Debye Function | 433 |

439 | |

### Common terms and phrases

absorption angular momentum Appendix associated atom or molecule atomic hydrogen becomes Bohr Bohr model calculations canonical ensemble Chapter classical thermodynamics coefficient collision contribution coordinates Debye defined degeneracy determine diatomic molecule dilute limit Einstein emission energy levels energy-level diagram entropy equilibrium constant evaluated example expressed frequency gases given ground electronic harmonic oscillator Hence ideal gas independent particles indistinguishable integral internal energy internal energy modes kinetic macroscopic mass Maxwell-Boltzmann microstates monatomic Morse potential motion number density number of microstates number of particles obtain orbital parameters particle distribution photon polyatomic postulates pressure probability quantum mechanics quantum number R-branch radiation reaction represents result rigid rotor rotational energy rovibrational rovibronic Schrodinger wave equation selection rules Similarly solution specific heat spectroscopy spectrum statistical thermodynamics substituting Eq symmetric Table temperature term symbol theory thermodynamic properties tion total number transitions translational energy values vibrational level wave equation wave function wave number wavelength zero of energy