13.1 Introduction
13.2 Statistical Models
13.2.1 Maxwell–Boltzmann
Statistics
13.2.2 Bose–Einstein Statistics
13.2.3 Fermi–Dirac Statistics
13.2.4 Illustration of the Different Statistics in a Simple Case
13.2.5 Dilute Systems. Corrected Boltzons
13.3 Stirling’s Approximations13.2.2 Bose–Einstein Statistics
13.2.3 Fermi–Dirac Statistics
13.2.4 Illustration of the Different Statistics in a Simple Case
13.2.5 Dilute Systems. Corrected Boltzons
13.4 Microcanonical Ensemble
13.5 Thermodynamic Functions for a System of Corrected Boltzons
13.6 A Simple System
13.6.1 Energy Levels for a
Particle in a Box
13.6.2 Expression for the Partition Function
13.6.3 Expressions for the Thermodynamic Functions
13.7 Internal Degrees of Freedom13.6.2 Expression for the Partition Function
13.6.3 Expressions for the Thermodynamic Functions
13.8 Microcanonical Partition Functions
13.8.1 Translational
Partition
Function
13.8.2 Vibrational Partition Function
13.8.3 Rotational Partition Function for Diatomic Molecules
13.8.4 Rotational Partition Function for Polyatomic Molecules
13.8.5 Electronic Partition Function
13.9 Canonical Ensemble13.8.2 Vibrational Partition Function
13.8.3 Rotational Partition Function for Diatomic Molecules
13.8.4 Rotational Partition Function for Polyatomic Molecules
13.8.5 Electronic Partition Function
13.10 Canonical Partition Function for Independent Particles
13.10.1 Independent
Distinguishable Particles
13.10.2 Independent Indistinguishable Particles
13.11 Heat Capacities of a Crystal13.10.2 Independent Indistinguishable Particles
13.11.1 Introduction
13.11.2 Einstein Model
13.11.3 Debye Model
13.12 Evaluation of Entropies13.11.2 Einstein Model
13.11.3 Debye Model
13.13 Third Law of Thermodynamics
13.14 Implications of the Third Law
13.14.1 Heat Capacities
13.14.2 Effect of Pressure and Volume on Entropy at 0 K
13.14.3 Helmholtz Energy and Gibbs Energy at 0 K
13.14.4 Agreement with Statistical Thermodynamics
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13.14.3 Helmholtz Energy and Gibbs Energy at 0 K
13.14.4 Agreement with Statistical Thermodynamics
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main pageModified January 10 2007