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

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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

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課程內容	課程影音	課程下載
單元一 Introduction Conservation law via symmetry operation Elementary operations for molecule Apply symmetry operation to molecule Summary	線上觀看	MP4下載
單元二 Definitions and theorems of group theory Definition of an abstract group Multiplication table for a finite group Cyclic groups Subgroups	線上觀看	MP4下載
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	線上觀看	MP4下載
Products and relations of symmetry operations The symmetry point groups	線上觀看	MP4下載
Classes of point groups Symmetry with multiple high-order axes	線上觀看	MP4下載
Summary of point groups Illustrative examples EXERCISES	線上觀看	MP4下載
單元四 Representation of groups Matrix algebra Eigenvalue and eigenvector of matrix	線上觀看	MP4下載
Simultaneous diagonalization of matrices Irreducible representations Great orthogonality theorem	線上觀看	MP4下載
Irreducible representations Representation for cyclic group	線上觀看	MP4下載
Basis of representations Mulliken symbols (x,y,z) basis for tetrahedron symmetry	線上觀看	MP4下載
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	線上觀看	MP4下載
Identifying nonzero matrix elements Symmetry-adapted basis Projection operators Application of projection operators	線上觀看	MP4下載
Application of projection operators Simplification igma bonding in MH6	線上觀看	MP4下載
單元六 Molecular orbital theory and its applications in organic chemistry Benzene Tetramethylenecyclobutane	線上觀看	MP4下載
Naphthalene	線上觀看	MP4下載
單元八 Molecular vibrations Cartesian coordinates	線上觀看	MP4下載
Normal-mode coordinates Internal coordinates Fundamental vibrational transitions	線上觀看	MP4下載

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