Lecture Description
Recorded on February 21, 2014.
Index of Topics:
0:53 Where We Left Off
2:06 Figuring r12
3:55 Law of Cosines
7:58 First-Order Correction
9:11 The theta Integral
12:56 The Rest of the Integrals
14:43 The Integral Over r2
17:42 What's the Energy?
19:56 Stability of Hydride
24:37 Improving Our Estimate
30:19 Evaluating the Energy
37:09 The Repulsion Term
40:34 Practice Problem 24
43:59 The Helium Atom
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.