Equilibrium Statistical Mechanics - 1st Edition - ISBN: 9781483199733, 9781483224763

Equilibrium Statistical Mechanics

1st Edition

Authors: J. E. Mayer
eBook ISBN: 9781483224763
Imprint: Pergamon
Published Date: 1st January 1968
Page Count: 252
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The International Encyclopedia of Physical Chemistry and Chemical Physics, Volume 1: Equilibrium Statistical Mechanics covers the fundamental principles and the development of theoretical aspects of equilibrium statistical mechanics. Statistical mechanical is the study of the connection between the macroscopic behavior of bulk matter and the microscopic properties of its constituent atoms and molecules. This book contains eight chapters, and begins with a presentation of the master equation used for the calculation of the fundamental thermodynamic functions. The succeeding chapters highlight the characteristics of the partition function and its application to the analysis of perfect and imperfect gases, solids, and dense fluids. These topics are followed by discussions on the fundamentals of quantum statistics, with particular emphasis on its application in certain media. The last chapter outlines the derivation of the relations between the partition functions and the thermodynamic quantities.
This book will be of value to physical chemists, chemical physicists, mathematicians, and researchers in the allied fields of statistical mechanics.

Table of Contents

Chapter 1 A Master Equation and Two Partition Functions 1.1 The Scope of Statistical Mechanics 1.2 A Master Equation 1.3 The Average of a Mechanical Property 1.4 The Grand Canonical and Canonical Partition Functions 1.5 Perfect Gases 1.6 The Occupancy of a Molecular Quantum State 1.7 PF-Energy Relationship for Monatomic Perfect Gases Chapter 2 General Characteristics of the Partition Function 2.1 Separability of the Hamiltonian 2.2 Bose-Einstein, Fermi-Dirac and Boltzmann Systems 2.3 The Classical Limit 2.4 Heat Capacity and Equipartition 2.5 Symmetry Number 2.6 Isotopes 2.7 Nuclear Spm 2.8 Coordinate Transformations Chapter 3 Perfect Gases and the Internal Partition Function 3.1 Monatomic Molecules 3.2 Diatomic Molecules 3.3 The Oscillator Partition Function 3.4 The Linear Rotator Function 3.5 Molecular Hydrogen 3.6 Polyatomic Molecules 3.7 Polyatomic Rotator Function 3.8 Polyatomic Normal Coordinates 3.9 Polyatomic Molecule Symmetries 3.10 Perfect Gas Thermodynamic Functions Chapter 4 Imperfect Gases 4.1 Introduction 4.2 Simple Cluster Functions 4.3 The Virial Expansion 4.4 Proof of the Virial Development 4.5 Interpretation of P|kT = Σbnzn 4.6 Evaluation of the Virial Coefficients 4.7 Condensation 4.8 Plasma and the Debye Limit Chapter 5 Solids 5.1 Overall Survey and Electronic Excitation 5.2 Crystal Lattice Hamiltonian 5.3 Lattice Vibration Spectra 5.4 The Debye Lattice Theory 5.5 Debye Thermodynamic Functions 5.6 Thermal Expansion 5.7 Crystal Imperfections and Order-Disorder Chapter 6 Dense Fluids 6.1 Notation and the Potential Energy 6.2 Distribution Functions 6.3 Equations for the Distribution Functions 6.4 The Potentials of Average Force 6.5 The Kirkwood Superposition Assumption 6.6


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© Pergamon 1968
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About the Author

J. E. Mayer

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