Molecular Symmetry & Group Theory
A 19-module path through molecular symmetry & group theory, in study order from foundations to the frontier.
Modules
- Symmetry Elements and Operations
- Rotation Axes and Cn Operations
- Reflection Planes and Mirror Symmetry
- Identifying the Principal Axis
- Inversion Center and Improper Rotations
- The Complete Set of Symmetry Operations
- Introduction to Point Groups
- Assigning Point Groups by Flowchart
- Special and High-Symmetry Point Groups
- Symmetry Operations as a Mathematical Group
- Matrix Representations of Symmetry Operations
- Characters as Matrix Traces
- Reducible and Irreducible Representations
- Anatomy of Character Tables
- Mulliken Symbols and Basis Functions
- The Reduction Formula
- Symmetry-Adapted Linear Combinations (SALCs)
- Building MO Diagrams from Symmetry
- Vibrational Modes and IR/Raman Selection Rules