Physical Chemistry

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Detailed Table of Contents

Table of Contents

Chapter 15 Statistical Mechanics 15.1 Introduction and Historical Backgound   Maxell’s Demom Forms of Molecular Energy Molar Heat Capacities of Gases: Classical Interpretations Introduction to statistical mechanics The Ensemble Concept The Fundamental Postulate of Statistical Mechanics Ensemble averaging Bio: Ludwig Boltzmann (1844–1906) Ensemble avearging 15.2 Probability and Entropy The statistical entropy of a physical system:   The statistical entropy of a physical system Entropy for the Expansion of a Perfect Gas Corrected Boltzmann statistics Particle indistinguishability Fermi-Dirac statistics Bose-Einstein statistics Maxwell-Boltzmann statistics The Most Probable Molecular Distribution The Second Law of Thermodynamics from Statistical Mechanics 15.3 Boltzmann factor and the partition function   The molecular Partition Function Energy and Entropy 15.4 The Boltzmann Distribution and quantum statistics.   Maxwell-Boltzmann statistics. Quantum statistics The Most Probable Distribution 15.5 Equilibrium Statistical Thermodynamics   Natural Variables and the Legendre Transformation Legendre transformation for thermodynamic functions Legendre transformations of the entropy and different ensembles Canonical ensemble Grand Canonical ensemble Non-interacting particles Quantum gases 15.6 Thermodynamic Quantities from Other Partition Functions.   Residual Entropies 15.7 The Partition Function for Some Special Cases   Translational Motion Rotational Motion Vibrational Motion The Electronic Partition Function The Nuclear Partition Function The Calculation of Equilibrium Constants Direct Calculation from Partition Functions 15.8 Transition-State Theory   The Assumption of “Quasi-Equilibrium” Derivation of the Transition-State Theory Equation Thermodynamic Formulation of Transition-State Theory Extensions of Transition-State Theory Key Equations Problems Suggested Reading