Simultaneous diagonalization of matrices, Irreducible representations, Great orthogonality theorem - NYCU OCW

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Simultaneous diagonalization of matrices, Irreducible representations, Great orthogonality theorem

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週次	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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