Introduction and Background to Quantum Mechanics / 1: |
Aim of Theoretical Chemistry |
Key Concepts from Classical Physics |
Classical Mechanics |
Classical Wave Theory |
Early History of Quantum Mechanics |
Particle Nature of Light |
Wave Nature of Particles |
Uncertainty Principle |
Discovery of Quantum Mechanics |
Concepts in Quantum Mechanics |
Quantum Theory / 2: |
Postulates of Quantum Mechanics |
Definitions of ...Y and ...Y2 |
Operators |
Time-Dependent and Time-Independent Schrödinger Equations |
Eigenvalues |
Expectation Values |
Properties of the Time-Independent Schrödinger Eigenfunctions |
Particle-in-Box Models / 3: |
Particle in a One-Dimensional Box |
Particle in a Two-Dimensional Box |
Particle in a Three-Dimensional Box |
Free-Electron Molecular Orbital Model |
Rigid-Rotor Models and Angular Momentum Eigenstates / 4: |
Motions of a Diatomic Molecule: Separation of the Center of Mass |
Rigid-Rotor Model in Two Dimensions |
Three-Dimensional Rigid Rotor |
Spherical Harmonics |
Rotational Spectra |
Angular Momentum |
Dirac Notation |
Raising and Lowering Angular-Momentum Operators |
Molecular Vibrations and Time-Independent Perturbation Theory / 5: |
Diatomic Molecule Vibrations |
Raising and Lowering Operators for the Harmonic Oscillator |
Polyatomic Molecule Vibrations |
Time-Independent Perturbation Theory |
Examples |
The Hydrogen Atom / 6: |
The Schrödinger Equation |
Radial Solutions and Eigenvalues |
Energy Eigenvalues; Spectroscopy of the H Atom |
Properties of Hydrogen and Hydrogenlike Wavefunctions |
Atomic Units |
The Helium Atom / 7: |
Schrödinger Equation |
Independent-Particle Model |
The Variational Method |
Better Wavefunctions |
Electron Spin and the Pauli Principle / 8: |
Electron Spin |
The Pauli Principle |
He-Atom Wavefunctions, Including Spin |
Excited State of He |
Energies of He(1s2s) States |
Interaction of Electron Spin with Magnetic Fields |
EPR and NMR |
Many-Electron Atoms / 9: |
Many-Electron Hamiltonian and Schrödinger Equation |
Slater Determinants |
Hartree Method |
Hartree-Fock Method |
Koopmans' Theorem |
Electron Correlation |
Constants of the Motion |
Angular-Momentum Operators for Many-Electron Atoms |
Relativistic Effects |
Homonuclear Diatomic Molecules / 10: |
Hydrogen Molecular Ion: Born-Oppenheimer Approximation |
LCAO-MO Treatment of H 2^+ |
Other H 2^+ States |
Electronic Structure of Homonuclear Diatomics |
Electronic Structure of H 2: Molecular Orbital and Valence Bond Wavefunctions |
Improvements to MO and VB Results for H 2 |
Ab Initioand Density Functional Methods / 11: |
LCAO-MO-SCF Theory for Molecules |
Atomic Orbitals |
Hartree-Fock Calculations |
Beyond Hartree-Fock |
Density Functional Theory Methods |
Semiempirical Methods / 12: |
Hückel Model |
Extended Hückel Method |
PPP Method |
NDO Methods |
Applications of Group Theory / 13: |
Group Theory for Point Groups |
Applications of Group Theory to Molecular Quantum Mechanics |
Symmetry Properties of Many-Electron Wavefunctions |
Symmetry Properties of Molecular Vibrations |
Applications of Electronic Structure Theory / 14: |
Potential-Energy Functions |
Optimized Geometries and Frequencies |
IR Spectra |
Ba |
Introduction and Background to Quantum Mechanics / 1: |
Aim of Theoretical Chemistry |
Key Concepts from Classical Physics |