Lecture Description
Recorded on February 13, 2014.
Index of Topics:
0:21 Quantum Numbers
2:40 Configurations
4:32 Term Symbols
6:14 Terms
7:26 Practice Problem 20
12:02 Holes and Electrons
13:47 Shapes of H Wavefunctions
17:39 Hydrogen Orbitals
18:41 Nodes
19:41 Angular Nodes
21:20 Another View
23:05 Spin-Orbit Coupling
24:09 Internal Magnetic Field
26:05 Internal Field
27:20 Practice Problem 21
32:23 Other Alkali Metals
37:22 Cesium
38:43 Practice Problem 22
Course Index
- Introduction
- Particles, Waves, the Uncertainty Principle and Postulates
- More Postulates, Superposition, Operators and Measurement
- Complementarity, Quantum Encryption, Schrodinger Equation
- Model 1D Quantum Systems - "The Particle In a Box"
- Quantum Mechanical Tunneling
- Tunneling Microscopy and Vibrations
- More on Vibrations and Approximation Techniques
- Potentials + Quantization in Two Spatial Dimensions
- Particles on Rings and Spheres... A Prelude to Atoms
- Particle on a Sphere, Angular Momentum
- Spin, The Vector Model and Hydrogen Atoms
- Hydrogen Atoms: Radial Functions & Solutions
- Atomic Spectroscopy Selection Rules, Coupling, and Terms
- Hydrogen Wavefunctions, Quantum Numbers, Term Symbols
- Energy Level Diagrams, Spin-Orbit Coupling, Pauli Principle
- Approximation Methods: Variational Principle, Atomic Units
- The Hydride Ion (Continued): Two-Electron Systems
- The Hydride Ion (Try #3!) The Orbital Philosophy
- Hartree-Fock Calculations, Spin, and Slater Determinants
- Bigger Atoms, Hund's Rules and the Aufbau Principle
- The Born-Oppenheimer Approximation and H2+
- LCAO-MO Approximation Applied to H2+
- Molecular Orbital: The Virial Theorem in Action
- Optimizing H2+ Molecular Orbital, H2, & Config Interaction
- Qualitative MO Theory
- CH4 Molecular Orbitals and Delocalized Bonding
- What We've Covered: Course Summary
Course Description
This course provides an introduction to quantum mechanics and principles of quantum chemistry with applications to nuclear motions and the electronic structure of the hydrogen atom. It also examines the Schrödinger equation and study how it describes the behavior of very light particles, the quantum description of rotating and vibrating molecules is compared to the classical description, and the quantum description of the electronic structure of atoms is studied.