| 1 Introduction and Review |
| Historical Perspective |
| Definition, Derivations, and Discovery |
| Review of Quantum Mechanics |
| Approximate Solutions to the Schr"dinger Equation |
| Statistical Mechanics |
| 2 The Nature of Electromagnetic Radiation |
| The Classical Description of Electromagnetic Radiation |
| Propagation of Light in Matter |
| Quantum Mechanical Aspects of Light |
| 3 Electric and Magnetic Properties of Molecules and Bulk Matter |
| Electric Properties of Molecules |
| Electric Properties of Bulk Matter |
| Magnetic Properties of Matter |
| 4 Time-Dependent Perturbation Theory of Spectroscopy |
| Time Dependence in Quantum Mechanics |
| Time Dependent Perturbation Theory |
| Rate Expression for Emission |
| Perturbation Theory Calculation of Polarizability |
| Quantum Mechanical Expression for Emission Rate |
| Time Dependence of the Density Matrix |
| 5 The Time-Dependent Approach to Spectroscopy |
| Time-Correlation Functions and Spectra as Fourier Transform Pairs |
| Properties of Time Correlation Functions and Spectral Lineshapes |
| The Fluctuation-Dissipation Theorem |
| Rotational Correlation Functions and Pure Rotational Spectra |
| Reorientational Spectroscopy of Liquids |
| Vibration-Rotation Spectra |
| Spectral Moments |
| 6 Experimental Considerations: Absorption, Emission, and Scattering |
| Einstein A and B Coefficients for Absorption and Emission |
| Absorption and Stimulated Emission |
| Absorption and Emission Spectroscopy |
| Measurement of Light Scattering: The Raman and Rayleigh Effects |
| Spectral Lineshapes |
| 7 Atomic Spectroscopy |
| Good Quantum Numbers and Not So Good Quantum Numbers |
| Selection Rules for Atomic Absorption and Emission |
| The Effect of External Fields |
| Atomic Lasers and the Principles of Laser Emission |
| 8 Rotational Spectroscopy |
| Energy Levels of Free Rigid Rotors |
| Angular Momentum Coupling in Non-1S Electronic States |
| Nuclear Statistics and J-States of Homonuclear Diatomics |
| Rotational Absorption and Emission Spectroscopy |
| Rotational Raman Spectroscopy |
| Corrections to the Rigid Rotor Approximation |
| Internal Rotation |
| 9 Vibrational Spectroscopy of Diatomics |
| The Born-Oppenheimer Approximation and Its Consequences |
| The Harmonic Oscillator Model |
| Selection Rules for Vibrational Transitions |
| Beyond the Rigid Rotor Harmonic Oscillator Approximation |
| 10 Vibrational Spectroscopy of Polyatomic Molecules |
| Normal Modes of Vibration |
| Quantum Mechanics of Polyatomic Vibrations |
| Group Theoretical Treatment of Vibrations |
| Selection Rules for Infrared Absorption and Raman Scattering |
| Rotational Structure |
| Anharmonicity |
| Selection Rules at Work: Benzene |
| Solvent Effects on Infrared Spectra |
| 11 Electronic Spectroscopy |
| Diatomic Molecules: Electronic States and Selection Rules |
| Vibrational Structure in Electronic Spectra of Diatomics |
| Born-Oppenheimer Breakdown in Diatomic Molecules |
| Polyatomic Molecules: Electronic States and Selection Rules |
| Transition Metal Complexes |
| Emission Spectroscopy of Polyatomic Molecules |
| Chromophores |
| Solvent Effects in Electronic Spectroscopy |
| 12 Raman and Resonance Raman Spectroscopy |
| Selection Rules in Raman Scattering |
| Polarization in Raman Scattering |
| Rotational and Vibrational Dynamics in Raman Scattering |
| Analysis of Raman Excitation Profiles |
| Time-Dependent Theory of Resonance Raman Spectra |
| Raman Scattering as a Third-Order Nonlinear Process |
| Appendix A Math Review |
| Appendix B Principles of Electrostatics |
| Appendix C Group Theory |
