Classes of point groups, Symmetry with multiple high-order axes
| Week | Course Content | Course Video |
|---|---|---|
| 單元一 Introduction Conservation law via symmetry operation Elementary operations for molecule Apply symmetry operation to molecule Summary | Watch Online | |
| 單元二 Definitions and theorems of group theory Definition of an abstract group Multiplication table for a finite group Cyclic groups Subgroups | Watch Online | |
| 單元三 Molecular symmetry and the symmetry groups Symmetry planes and reflections Center of inversion Proper axes and proper rotations Improper axes and improper rotations | Watch Online | |
| Products and relations of symmetry operations The symmetry point groups | Watch Online | |
| Classes of point groups Symmetry with multiple high-order axes | Watch Online | |
| Summary of point groups Illustrative examples EXERCISES | Watch Online | |
| 單元四 Representation of groups Matrix algebra Eigenvalue and eigenvector of matrix | Watch Online | |
| Simultaneous diagonalization of matrices Irreducible representations Great orthogonality theorem | Watch Online | |
| Irreducible representations Representation for cyclic group | Watch Online | |
| Basis of representations Mulliken symbols (x,y,z) basis for tetrahedron symmetry | Watch Online | |
| 單元五 Group theory with its applications in quantum chemistry Hydrogen atom as basis representation General wave functions for group representation The direct product | Watch Online | |
| Identifying nonzero matrix elements Symmetry-adapted basis Projection operators Application of projection operators | Watch Online | |
| Application of projection operators Simplification igma bonding in MH6 | Watch Online | |
| 單元六 Molecular orbital theory and its applications in organic chemistry Benzene Tetramethylenecyclobutane | Watch Online | |
| Naphthalene | Watch Online | |
| 單元八 Molecular vibrations Cartesian coordinates | Watch Online | |
| Normal-mode coordinates Internal coordinates Fundamental vibrational transitions | Watch Online |
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