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Statistical Thermodynamics Fundamentals and Applications

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ISBN-10: 0521846358

ISBN-13: 9780521846356

Edition: 2005

Authors: Normand M. Laurendeau

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Building on the Maxwell-Boltzmann method of step-by-step development of the subject, this book makes few presumptions concerning students' previous exposure to statistics, quantum mechanics, or spectroscopy. The book begins with the fundamentals 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. Modern applications, such as laser-based diagnostics, are also discussed.
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Book details

Copyright year: 2005
Publisher: Cambridge University Press
Publication date: 11/21/2005
Binding: Hardcover
Pages: 466
Size: 7.00" wide x 10.00" long x 1.00" tall
Weight: 2.090
Language: English

Normand M. Laurendeau is the Ralph and Bettye Bailey Professor of Combustion at Purdue University. He teaches at both the undergraduate and graduate levels in the areas of thermodynamics, combustion and engineering ethics. He conducts research in the combustion sciences, with particular emphasis on laser diagnostics, pollutant formation and flame structure. Dr Laurendeau is well known for his pioneering research on the development and application of both nanosecond and picosecond laser-induced fluorescence strategies to quantitative species concentration measurements in laminar and turbulent flames. He has authored or coauthored over 150 publications in the archival scientific and…    

The Statistical Foundation of Classical Thermodynamics
A Classification Scheme for Statistical Thermodynamics
Why Statistical Thermodynamics?
Fundamentals of Statistical Thermodynamics
Probability and Statistics
Probability: Definitions and Basic Concepts
Permutations and Combinations
Probability Distributions: Discrete and Continuous
The Binomial Distribution
The Poisson Distribution
The Gaussian Distribution
Combinatorial Analysis for Statistical Thermodynamics
Distinguishable Objects
Indistinguishable Objects
Probability Theory and Statistical Mathematics (Chapter 2)
The Statistics of Independent Particles
Essential Concepts from Quantum Mechanics
The Ensemble Method of Statistical Thermodynamics
The Two Basic Postulates of Statistical Thermodynamics
The M-B Method: System Constraints and Particle Distribution
The M-B Method: Microstates and Macrostates
The Most Probable Macrostate
Bose-Einstein and Fermi-Dirac Statistics
Bose-Einstein Statistics
Fermi-Dirac Statistics
The Most Probable Particle Distribution
Entropy and the Equilibrium Particle Distribution
The Boltzmann Relation for Entropy
Identification of Lagrange Multipliers
The Equilibrium Particle Distribution
Thermodynamic Properties in the Dilute Limit
The Dilute Limit
Corrected Maxwell-Boltzmann Statistics
The Molecular Partition Function
The Influence of Temperature
Criterion for Dilute Limit
Internal Energy and Entropy in the Dilute Limit
Additional Thermodynamic Properties in the Dilute Limit
The Zero of Energy and Thermodynamic Properties
Intensive Thermodynamic Properties for the Ideal Gas
Statistical Modeling for Thermodynamics (Chapters 3-4)
Quantum Mechanics and Spectroscopy
Basics of Quantum Mechanics
Historical Survey of Quantum Mechanics
The Bohr Model for the Spectrum of Atomic Hydrogen
The de Broglie Hypothesis
A Heuristic Introduction to the Schrodinger Equation
The Postulates of Quantum Mechanics
The Steady-State Schrodinger Equation
Single-Particle Analysis
Multiparticle Analysis
The Particle in a Box
The Uncertainty Principle
Indistinguishability and Symmetry
The Pauli Exclusion Principle
The Correspondence Principle
Quantum Analysis of Internal Energy Modes
Schrodinger Wave Equation for Two-Particle System
Conversion to Center-of-Mass Coordinates
Separation of External from Internal Modes
The Internal Motion for a Two-Particle System
The Rotational Energy Mode for a Diatomic Molecule
The Vibrational Energy Mode for a Diatomic Molecule
The Electronic Energy Mode for Atomic Hydrogen
The Electronic Energy Mode for Multielectron Species
Electron Configuration for Multielectron Atoms
Spectroscopic Term Symbols for Multielectron Atoms
Electronic Energy Levels and Degeneracies for Atoms
Electronic Energy Levels and Degeneracies for Diatomic Molecules
Combined Energy Modes for Atoms and Diatomic Molecules
Selection Rules for Atoms and Molecules
The Spectroscopy of Diatomic Molecules
Rotational Spectroscopy Using the Rigid-Rotor Model
Vibrational Spectroscopy Using the Harmonic-Oscillator Model
Rovibrational Spectroscopy: The Simplex Model
The Complex Model for Combined Rotation and Vibration
Rovibrational Spectroscopy: The Complex Model
Electronic Spectroscopy
Energy-Mode Parameters for Diatomic Molecules
Quantum Mechanics and Spectroscopy (Chapters 5-7)
Statistical Thermodynamics in the Dilute Limit
Interlude: From Particle to Assembly
Energy and Degeneracy
Separation of Energy Modes
The Molecular Internal Energy
The Partition Function and Thermodynamic Properties
Energy-Mode Contributions in Classical Mechanics
The Phase Integral
The Equipartition Principle
Mode Contributions
Thermodynamic Properties of the Ideal Gas
The Monatomic Gas
Translational Mode
Electronic Mode
The Diatomic Gas
Translational and Electronic Modes
The Zero of Energy
Rotational Mode
Quantum Origin of Rotational Symmetry Factor
Vibrational Mode
Rigorous and Semirigorous Models for the Diatomic Gas
The Polyatomic Gas
Rotational Contribution
Vibrational Contribution
Property Calculations for Polyatomic Molecules
Thermodynamic Properties of the Ideal Gas (Chapters 8-9)
Statistical Thermodynamics for Ideal Gas Mixtures
Equilibrium Particle Distribution for the Ideal Gas Mixture
Thermodynamic Properties of the Ideal Gas Mixture
The Reacting Ideal Gas Mixture
Equilibrium Particle Distribution for Reactive Ideal Gas Mixture
Equilibrium Constant: Introduction and Development
Equilibrium Constant: General Expression and Specific Examples
Dissociation of a Homonuclear Diatomic
The Homonuclear-Heteronuclear Conversion Reaction
The Ionization Reaction
Concentration and Temperature Measurements
Mode Temperatures
Radiative Transitions
Spectral Transfer of Radiation
The Einstein Coefficients
Line Broadening
Absorption Spectroscopy
Emission Spectroscopy
Emissive Diagnostics
The Problem of Self-Absorption
Fluorescence Spectroscopy
Sodium D-Line Reversal
Advanced Diagnostic Techniques
Chemical Equilibrium and Diagnostics (Chapters 10-11)
Statistical Thermodynamics Beyond the Dilute Limit
Thermodynamics and Information
Reversible Work and Heat
The Second Law of Thermodynamics
The Boltzmann Definition of Entropy
Information Theory
Spray Size Distribution from Information Theory
Elements of the Solid State
Statistical Thermodynamics of the Crystalline Solid
Einstein Theory for the Crystalline Solid
Debye Theory for the Crystalline Solid
Critical Evaluation of the Debye Formulation
The Band Theory of Metallic Solids
Thermodynamic Properties of the Electron Gas
The Metallic Crystal near Absolute Zero
Equilibrium Radiation
Bose-Einstein Statistics for the Photon Gas
Photon Quantum States
The Planck Distribution Law
Thermodynamics of Blackbody Radiation
The Influence of Wavelength for the Planck Distribution
The Solid State and Radiation (Chapters 13-14)
Nonequilibrium Statistical Thermodynamics
Elementary Kinetic Theory
The Maxwell-Boltzmann Velocity Distribution
The Maxwell-Boltzmann Speed Distribution
The Maxwell-Boltzmann Energy Distribution
Molecular Effusion
The Ideal Gas Pressure
Kinetics of Molecular Transport
Binary Collision Theory
Fundamentals of Molecular Transport
The Mean Free Path
The Molecular Flux
Transport Properties
Rigorous Transport Theory
Dimensionless Transport Parameters
Collision Integrals
The Lennard-Jones Potential
Rigorous Expressions for Transport Properties
Chemical Kinetics
The Bimolecular Reaction
The Rate of Bimolecular Reactions
Chemical Kinetics from Collision Theory
The Significance of Internal Energy Modes
Chemical Kinetics from Transition State Theory
Kinetic Theory and Molecular Transport (Chapters 15-17)
The Ensemble Method of Statistical Thermodynamics
The Canonical and Grand Canonical Ensembles
The Ensemble Method
The Canonical Ensemble
The Equilibrium Distribution for the Canonical Ensemble
Equilibrium Properties for the Canonical Ensemble
Independent Particles in the Dilute Limit
Fluctuations in Internal Energy
Grand Canonical Ensemble
The Equilibrium Distribution for the Grand Canonical Ensemble
Equilibrium Properties for the Grand Canonical Ensemble
Independent Particles in the Dilute Limit Revisited
Applications of Ensemble Theory to Real Gases
The Behavior of Real Gases
Equation of State for Real Gases
Canonical Partition Function for Real Gases
The Virial Equation of State
The Second Virial Coefficient
Rigid-Sphere and Square-Well Potentials
Implementation of Lennard-Jones Potential
The Third Virial Coefficient
Properties for Real Gases
Whence and Whither
Reprising the Journey
Preparing for New Journeys
The Continuing Challenge of Thermodynamics
Physical Constants and Conversion Factors
Series and Integrals
Periodic Table
Mathematical Procedures
Thermochemical Data for Ideal Gases
Summary of Classical Thermodynamics
Review of Classical Mechanics
Review of Operator Theory
The Spherical Coordinate System
Electronic Energy Levels
Energy-Mode Parameters for Molecules
Normal Mode Analysis
Tabulation of Debye Function
Maxwell-Boltzmann Energy Distribution
Force Constants for the Lennard-Jones Potential
Collision Integrals for Calculating Transport Properties from the Lennard-Jones Potential
Reduced Second Virial Coefficient from the Lennard-Jones Potential
References and Acknowledgments