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In this introductory chemical physics textbook, the authors discuss the interactions, bonding, electron density, and experimental techniques of free molecules, and apply spectroscopic methods to determine molecular parameters, dynamics, and chemical reactions.
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Table of Contents
One Chemical Concepts and Experimental Techniques
Two The Nature of Bonding in Diatoms
Three Molecular Interactions
Four Electron Density Description of Molecules
Five Molecular Parameters Determined by Spectroscopic Methods
Six Molecular Orbital Methods and Polyatomic Molecules
Seven Chemical Reactions, Dynamics, and Laser Spectroscopy
A1.1. Wave Functions for the Hydrogen Atom
A1.2. The Periodic Table and Atomic Ground States
A1.3. Total Energies of Heavy Atomic Ions—Coulomb Field Model
A1.4. Orthogonality of Solutions of the Schrödinger Equation
A2.1. Variation Principle
A2.3. Born-Oppenheimer Approximation
A2.4. Slater- and Gaussian-Type Orbitals
A2.6. Virial and Hellmann-Feynman Theorems
A3.1. Topics Relevant to the Treatment of Intermolecular Forces
A3.2. Bibliography for Further Study of Intermolecular Forces
A4.1. The Correspondence between Cells in Phase Space and Quantum-Mechanical Energy Levels
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A4.2. The Kinetic Energy Density of an Inhomogeneous Electron Gas
A4.3. The Chemical Potential, Teller’s Theorem, and Scaling of Energies of Homonuclear Diatoms
A4.4. The Self-Consistent Field in the Helium Atom
A4.5. The Self-Consistent Field Treatment of Binding Energies of Heavy Positive Atomic Ions
A4.6. The Hartree-Fock Self-Consistent Field Method
A4.7. The Dirac-Slater Exchange Energy and Existence of a One-Body Potential Including Both Exchange and Correlation
A4.8. Proof that the Ground-State Energy of a Molecule Is Uniquely Determined by the Electron Density
A4.9. Modeling of the Chemical Potential in Hydrogen Halides and Mixed Halides
A4.10. X-Ray Scattering by Neon-Like Molecules
A4.11. Two-Center Calculations from the Thomas-Fermi Theory
A5.1. Rotational Energy Levels of Some Simple Classes of Molecules: The Symmetric Rotor
A5.2. The Rotational Partition Function in Relation to Spectroscopic Intensities
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A5.3. Normal Modes of Vibration of Molecules
A5.4. The Franck-Condon Principle
A5.5. Time-Dependent Perturbation Theory and Selection Rules for Electric Dipole Transitions in Atoms
A5.6. Spin-Orbit Coupling
A5.7. Dirac’s Relativistic Wave Equation for One Electron
A5.8. Relativistic Electron Density Theory for Molecules Composed of Heavy Atoms
A6.1. The Jahn-Teller Effect
A6.2. Koopmans’ Theorem and Its Use in Interpreting Photoelectron Spectra
A7.1. Symmetry Arguments for Electrocyclic Reactions
A7.2. Chemical Reactions: Arrhenius’ Empirical Work, the Collision Theory, and the Absolute Rate or Transition State Theory
Advanced Problems
AI. Some Advanced Aspects of Quantum-Mechanical Perturbation Theory
AII. The Formation of Acetylene from Two CH Fragments
AIII. MacDonald’s Theorem
AIV. Spectroscopic Nomenclature
AV. The Wentzel-Kramers-Brillouin Semiclassical Method for Calculating Eigenvalues for Central Fields
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AVI. Electron Correlation in the Helium Atom and the Slow Convergence of Configuration Interaction
Further Problems
References.
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