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Modern Physical Chemistry A Molecular Approach

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ISBN-10: 0306463954

ISBN-13: 9780306463952

Edition: 2000

Authors: George H. Duffey

List price: $279.99
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Description:

In this new textbook on physical chemistry, fundamentals are introduced simply yet in more depth than is common. Topics are arranged in a progressive pattern, with simpler theory early and more complicated theory later. General principles are induced from key experimental results. Some mathematical background is supplied where it would be helpful. Each chapter includes worked-out examples and numerous references. Extensive problems, review, and discussion questions are included for each chapter. More detail than is common is devoted to the nature of work and heat and how they differ. Introductory Caratheodory theory and the standard integrating factor for dG rev are carefully developed.…    
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Book details

List price: $279.99
Copyright year: 2000
Publisher: Springer
Publication date: 8/31/2000
Binding: Hardcover
Pages: 554
Size: 7.01" wide x 10.00" long x 1.50" tall
Weight: 6.380
Language: English

Preface and Acknowledgments
Structure in Solids
Limits on Homogeneity
States of Matter
Diffraction
Producing Short Wavelength Radiation
The Action of Crystals on the Radiation
Bragg Reflection
Standard Crystal Lattices
Miller Indices
Cubic Point Lattices
Some Simple Crystal Types
Stability Conditions
Avogadro's Number
Surface Structure
The Quasicrystalline State
Questions
Problems
References
Structure in Molecules and Atoms
Introduction
Symmetric Coordination Structures
Momentum and Energy Relationships
Diffraction by Randomly Oriented Molecules
Electron Diffraction Molecular Parameters
Intensity in a Beam
The Cross Section Concept
The Nuclear Atom
Composition of Atoms and Nuclei
Questions
Problems
References
Gases and Collective Properties
Macroscopic Properties
Elements of Ideal-Gas Theory
Temperature
Constants R and T[subscript 0]
Gaseous Solutions
Translational, Rotational, Vibrational Energies
Quantum Restrictions
Allowing for Molecular Interactions
Gas-Liquid Isotherms
Corresponding States
Compressibility Factor for a Gas
Virial Equation of State
Distribution of Equivalent Particles in a Potential Field
The Maxwell Distribution Law
The Collision Rate Density
Questions
Problems
References
The First Law for Energy
Independent Thermodynamic Variables
Work
Heat
The First Law
Compression (P-V) Work
Isochoric and Isobaric Heats
Energy Capacities
Reversible Adiabatic Change in an Ideal Gas
Conditions in a Planar Pressure Pulse
Contributions to Energy Capacity C[subscript v]
Relating Differentials and Partial Derivatives
The Difference C[subscript p]-C[subscript v]
Coefficients of Thermal Expansion and Isothermal Compressibility
Exact Differentials
Partial Molar Properties
Questions
Problems
References
Entropy and the Second Law
Accessibility of States
Integrability of the Reversible Heat
Form for the Integrating Factor
Entropy Changes of Systems
The Second Law
Entropy of Mixing
Probability Change on Mixing
Effectively Contributing Microstates
Helmholtz Free Energy
Gibbs Free Energy
Key Thermodynamic Relations
The Chemical Potential
Concentration Gradients
General Direction for a Process
A Fourth Law
Questions
Problems
References
Relationships between Phases
Intensive Variables
The Gibbs Phase Rule
Equilibrium States for Water
Solutions
Aspects of Multicomponent Phase Diagrams
Singularities Separating Phases
The Clapeyron and Ehrenfest Equations
Variation of Vapor Pressure with Temperature
Variation of Vapor Pressure with Total Pressure
Variation of Vapor Pressure with Concentration
The Mole-Fraction Activity
Concentration Units
Elevation of the Boiling Point
Depression of the Freezing Point
Permeability of Membranes
Osmotic Pressure
Equilibria among Phases
Questions
Problems
References
Relationships among Reactants
Introduction
Conventions
Measuring Reaction Heats
Relating the Isobaric and Isochoric Reaction Heats
Variation in Heat of Reaction with Temperature
Calorimetric Entropy
Correcting the Calorimetric Entropy to the Ideal Gas State
Correcting the Calorimetric Entropy for Frozen-in Disorder
Key Thermodynamic Properties
Partial Molar Gibbs Energy
Gibbs Energy of Reaction
Energetic Conditions on Equilibria
Equilibria in Ideal Gaseous Phases
Heterogeneous Gas Equilibria
Variation of Equilibrium Constants with Temperature
Variation of Equilibrium Constants with Pressure
The Activity Coefficient Concept
Helmholtz Energy of Reaction
Questions
Problems
References
Equilibria in Condensed Phases
The Chemical Potential Revisited
Useful Equilibrium Expressions
Conditions Determining Equilibria
Key Thermodynamic Considerations
Average Electric Atmosphere about an Ion
An Integral Form of Coulomb's Law
Application of Gauss's Theorem to the Ionic Atmosphere
Variation of Electric Potential in an Ionic Atmosphere
Free Energy of the Ionic Atmosphere
Debye-Huckel Equations
Equilibria among Phases Revisited
Determining Ionic Activities
Limitations of the Debye-Huckel Treatment
Questions
Problems
References
Electrochemistry
Definitions and Units
Electrode Reactions
Electrolyte Transference
Moving Ion Clouds and Boundaries
Ohm's Law
Equivalent Conductance
Determining Solubilities and Degrees of Ionization
Variation of Ion Conductance with Viscosity
Cell Conventions
Measuring and Allocating Voltages
Cell Energetics
Cell with Transference
Reference Cells and Electrodes
Measuring the pH of Solutions
Overpotential
Electrode Potentials for Other Solvents
Further Cell Thermodynamics
Questions
Problems
References
Basic Quantum Mechanics
The Statistical Nature of the Path of a Mass Element or Particle
Representing a Constituent State
Introducing the Translational Symmetries
Translational Motion in a General Direction
Diffraction Experiments Revisited
Rectangularly Symmetric Free Motion
Translational Energy of the Molecules in an Ideal Gas
Enumerating and Filling Translational States
Normalization and Orthogonality Conditions
Standing-Wave Translational Functions
Confined Rectangularly Symmetric Motion
Attenuated Motion
Joining Different Constant-Potential Regions
A Differential Equation for Multidirectional Propagation
The Schrodinger Equations
Suitable Solutions
Expressing [down triangle, open superscript 2] in Orthogonal Generalized Coordinates
Questions
Problems
References
Free Rotational and Angular Motion
Introduction
Classical Rotational Kinetic Energy
Quantized Angular Momentum States of a Linear Rotator
Energy Levels for the Linear Rotator
Rotational Spectrum of a Linear Molecule
Broadening of Spectral Lines
Quantization of Cylindrically Symmetric Rotators
The Asymmetric Rotator
Rotational Partition Functions and the Resulting Energies
Independence of the Angular Factor Y([theta], [phi])
A Multiaxial Formula for Y([theta], [phi])
Directional Behavior of the Standard Rotational State Functions
Normalization and Orthogonality Conditions Revisited
Magnetic Energy Associated with Angular Momentum
Observing Spatial Quantization in a Beam
Spin States
Questions
Problems
References
Vibrational and Radial Motion
Pertinent Potentials
Schrodinger Equation for the Harmonic Oscillator
Quantization of the Harmonic Oscillator
Nodeless Solutions
Acceptable Wavy Solutions
Partition Function for a Vibrational Mode
Selection Rules
Vibration-Rotation Spectra
Raman Spectra
Bond Anharmonicity and its Effect
Asymptotic Solutions for the Central Field
Radial State Functions for a Hydrogenlike Atom
Electronic Spectrum of a Hydrogenlike Atom
Multiparticle Systems
Multielectron Uninuclear Structures
Combining Angular Momenta
Questions
Problems
References
Analyzing Organized Structures
The General Behavior of Bases
Representing Nondistortive Operations
Symmetry Operations
Pertinent Permutation Matrices
Other Transformation Matrices
Classifying Operations
Character Vectors
Symmetry Species
Selection Rules
The Orthogonality Condition
Generating Primitive Symmetry Species
Questions
Problems
References
States of Molecular Electrons
Introduction
The Hydrogen Molecule Ion Model
Correlations with Atomic Structures
Bonding between Two Equivalent Atoms
Symmetric Three-Center Bonds
Symmetric Six-Center Bonds
Conventional Resonance Energy and the True Delocalization Energy
The Variation Theorem
Linear Variation Functions
Bonding between Two Nonequivalent Atoms
Pi Bonding in Fulvene
Questions
Problems
References
Phenomenonological Chemical Kinetics
The Rate of a Reaction
Reaction Order and Molecularity
Zero-Order Reactions
First-Order Reactions
Second-Order Reactions
Third-Order Reactions
Determining the Differential Rate Law
Determining Order from an Integrated Form
The Arrhenius Equation
Reversible First-Order Reactions
First-Order Reaction Opposed by a Second-Order Reaction
Perturbation Experiments
Reactions in High Pressure Gaseous and in Condensed Phases
The Encounter Rate Constants
Solution Reaction Rates
Dependence of the Specific Reaction Rate on Activity Coefficients
Questions
Problems
References
Explanatory Mechanisms
Types of Elementary Reactions
Activation in Simple First-Order Reactions
Decomposition of Nitrogen Pentoxide
Hydrogen-Iodine Reactions
Hydrogen-Bromine Reactions
Hydrogen-Chlorine Reactions
Thermal Explosions
Hydrogen-Oxygen Reactions
Decomposition of Ethane
The Activity Coefficient Effect
Conversion of Ammonium Cyanate to Urea
Nitration of Aromatic Compounds
Questions
Problems
References
Statistical Thermodynamics
Earlier Discussions
Relating Thermodynamic Properties to the Partition Function
Relating System Partition Functions to Molecular Ones
Ideal Translational Entropy
Energy and Entropy of a Vibrational Mode
The Ideal Concentration Equilibrium Constant
Basis for the Distribution Law
Black-Body Radiation
Allowance for Particle Transfer
Fermi-Dirac Statistics
Bose-Einstein Statistics
Questions
Problems
References
Reaction Rate Theory
The Transition State
The Eyring Equation
The Kinetic Isotope Effect
Static Nonideality
Transition State Recrossings
Thermodynamic Considerations
Transition State Location
Viscous Nonideality
Variation of the Rate Coefficients with Temperature
Further Relationships
Questions
Problems
References
Photochemistry
Pertinent Wave Properties
Pertinent Particle Properties
Phenomenology of Absorption
Absorption Intensities
Electronic Transitions
Reaction Possibilities
The Hydrogen-Iodine Reaction
The Hydrogen-Bromine Reaction
The Hydrogen-Chlorine Reaction
Photosensitization
Chemiluminescence
The Carbon Monoxide-Oxygen Reaction
Questions
Problems
References
Glossary
Fundamental Units
Derived Units
Physical Constants
Primitive Character Vectors and Basis Functions for Important Symmetry Groups
Index