Introduction to the Chemical Applications of Group Theory
This course will explore the use of group theory and symmetry as applied to chemical systems. Point groups and symmetry will be introduced and applied towards the normal coordinate analysis of vibrations in molecules as well as the construction of symmetry adapted molecular orbitals from linear combinations of atomic orbitals.
Enroll Code: 07138
Time: WF 12:00-12:50
Place: Bldg 494 - Old Little Theater Room 160B
Instructor: Laverman
Textbook: “Group Theory and Chemistry” David M. Bishop
Useful Web Resources
Atomic orbitals, hybrid orbitals, molecular orbitals, molecular vibrations
Huckel p orbitals
Symmetry Practice - Interactive symmetry element and visualization web pages. Try the "challenge" tab to practice assigning point groups.
3D MolSym - Interactive symmetry element and symmetry operations visualization software (alternate location)
3DNormalModes - Interactive visualization of normal modes of vibrations (alternate location)
In order to earn the full 3 units for this course you must attend all of the classes and complete the four homework assignments . Please let me know in advance if you cannot attend one of the classes.
Anticipated Course Schedule
Week |
Topic |
Chapter |
Assignment |
1 |
Symmetry, Symmetry Operations |
1,2 |
|
2 |
Groups, Point Groups |
3 |
HW |
3 |
Matrices, Similarity Transformations |
4 |
|
4 |
Matrix Representations, Equivalent Representations |
5,6 |
HW |
5 |
Irreducible Representations, Character Tables |
6,7 |
|
6 |
Molecular Vibrations, Normal Coordinate Analysis |
9 |
HW |
7 |
Molecular Orbital Theory |
10 |
|
8 |
Projection Operator and SALCAO |
10 |
|
9 |
Hückel Mo’s for aromatic systems |
10 |
HW |
10 |
Finals Week |