Chemistry 415 » Fall » 1st Half
2 Credits
Group Theory
Instructor(s): William D. Jones, Michael L. NeidigPrerequisites: None.
Crosslisting: None.
Course Summary:
This course features the development of symmetry and group theory concepts and explores the scope of applications to chemical problems.
This course features the development of symmetry and group theory concepts and explores the scope of applications to chemical problems.
Course Topics:
- Group Theory
- Subgroups, Similarity Transforms, Classes
- Symmetry Operations, Symmetry Operation Multiplication
- Point Groups
- Classes of Operations, Matrices, Representations of Groups
- Orthogonality Theorem
- Character Tables, Cyclic Groups
- Wave Functions, Direct Products, Projection Operators
- A Real Problem: C3H3, Symmetry Coordinates
- Molecular Orbitals, Atomic Orbital Symmetry
- Pi-Bonding, Hybridazation, Energy of LCAOs
- MOT for ABn Molecules
- MOT of Metal Complexes
- Examples: Ferrocene and CpMn(CO)3
- Ligand Field Theory, Russell-Saunders Coupling, Splitting of States
- Descending Symmetry, Selection Rules, Polarization
- Vibrations
- Vibrational Selection Rules, Raman
Required Text:
Cotton, F. A. “Chemical Applications of Group Theory”, 3rd Ed., 1990, Wiley, New York. (optional purchase – on reserve in library)
Carter, R. L. “Molecular Symmetry and Group Theory,” 1998, Wiley, New York. (good supplementary reading – available at Barnes and Noble in mid-September, or $55 on Amazon.) Jaffé, H. H.; Orchin, M. "Symmetry in Chemistry," 2002,Wiley, New York (good supplementary reading – $6 on Amazon)
Cotton, F. A. “Chemical Applications of Group Theory”, 3rd Ed., 1990, Wiley, New York. (optional purchase – on reserve in library)
Carter, R. L. “Molecular Symmetry and Group Theory,” 1998, Wiley, New York. (good supplementary reading – available at Barnes and Noble in mid-September, or $55 on Amazon.) Jaffé, H. H.; Orchin, M. "Symmetry in Chemistry," 2002,Wiley, New York (good supplementary reading – $6 on Amazon)