Physical Chemistry
This course is an introduction to quantum mechanics for _use_ by chemists. Topics include particles and waves, wave mechanics, semi-classical quantum mechanics, matrix mechanics, perturbation theory, molecular orbital theory, molecular structure, molecular spectroscopy, and photochemistry. Emphasis is on creating and building confidence in the use of intuitive pictures.
Syllabus
- 1 Lecture 1: Quantum Mechanics—Historical Background, Photoelectric Effect, Compton Scattering
- 2 Lecture 2: Wave Nature of the Electron and the Internal Structure of an Atom
- 3 Lecture 3: Two-Slit Experiment, Quantum Weirdness
- 4 Lecture 4: Classical Wave Equation and Separation of Variables
- 5 Lecture 5: Quantum Mechanics: Free Particle and Particle in 1D box
- 6 Lecture 6: 3-D Box and QM Separation of Variables
- 7 Lecture 7: Classical Mechanical Harmonic Oscillator
- 8 Lecture 8: Quantum Mechanical Harmonic Oscillator
- 9 Lecture 9: The Harmonic Oscillator: Creation and Annihilation Operators
- 10 Lecture 10: The Time-Dependent Schrödinger Equation
- 11 Lecture 11: Wavepacket Dynamics for Harmonic Oscillator and PIB
- 12 Lecture 12: Catch Up and Review, Postulates
- 13 Lecture 13: From Hij Integrals to H Matrices I
- 14 Lecture 14: From Hij Integrals to H Matrices II
- 15 Lecture 15: Non-Degenerate Perturbation Theory I
- 16 Lecture 16: Non-Degenerate Perturbation Theory II: HO using a,a†
- 17 Lecture 17: Rigid Rotor I. Orbital Angular Momentum
- 18 Lecture 18: Rigid Rotor II. Derivation by Commutation Rules
- 19 Lecture 19: Spectroscopy: Probing Molecules with Light
- 20 Lecture 20: Hydrogen Atom I
- 21 Lecture 21: Hydrogen Atom II. Rydberg States
- 22 Lecture 22: Helium Atom
- 23 Lecture 23: Many-Electron Atoms
- 24 Lecture 24: Molecular Orbital Theory I. Variational Principle and Matrix Mechanics
- 25 Lecture 25: Molecular Orbital Theory II. H2+, A2, AB Diatomics
- 26 Lecture 26: Qualitative MO Theory: Hückel
- 27 Lecture 27: Non-Degenerate Perturbation Theory III
- 28 Lecture 28: Modern Electronic Structure Theory: Basis Sets
- 29 Lecture 29: Modern Electronic Structure Theory: Electronic Correlation
- 30 Lecture 30: Time-Dependent Perturbation Theory I. H is Time-Independent, Zewail Wavepacket
- 31 Lecture 31: Time-Dependent Perturbation Theory II. H is Time-Dependent: Two-Level Problem
- 32 Lecture 32: Intermolecular Interactions by Non-Degenerate Perturbation Theory
- 33 Lecture 33: Electronic Spectroscopy: Franck-Condon
- 34 Lecture 34: Electronic Spectroscopy and Photochemistry
- 35 Lecture 35: δ-Functions, Eigenfunctions of X, Discrete Variable Representation
- 36 Lecture 36: Time Dependence of Two-Level Systems: Density Matrix, Rotating Wave Approximation
Course materials
- Course on MIT OpenCourseWare ↗ website