Lecture Description
Recorded on March 06, 2014.
Index of Topics:
1:11 Comparing the Results
4:04 H2+ Molecular Orbitals
5:32 The Coefficients
6:58 Normalization
9:00 The Orbitals Are Different
14:22 The Virial Theorem
18:43 Practice Problem 29
28:27 Checking Our MO
34:15 Making a Long Story Short
37:01 Optimizing the Energy
40:57 What Does It Mean?
42:22 What Functions Will Improve Things?
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.