'Irreducible representations' diaporamas de présentation

MOLECULAR SYMMETRY AND SPECTROSCOPY

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Lecture 4

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General Introduction to Symmetry in Crystallography

General Introduction to Symmetry in Crystallography. A. Daoud-Aladine (ISIS). Outline. Crystal symmetry. Translational symmetry Example of typical space group symmetry operations Notations of symmetry elements. (geometrical transformations). Representation analysis using space groups.

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General Introduction to Symmetry in Crystallography

General Introduction to Symmetry in Crystallography. A. Daoud-Aladine (ISIS). Outline. Crystal symmetry. Translational symmetry Example of typical space group symmetry operations Notations of symmetry elements. (geometrical transformations). Representation analysis using space groups.

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Group representations

Group representations. Example molecule: SF 5 Cl. z. Consider the group C 4v Element Matrix E 1 0 0 0 1 0 0 0 1 C 4 0 1 0 -1 0 0 0 0 1 C 2 -1 0 0 0 -1 0 0 0 1 C 4 0 -1 0 1 0 0 0 0 1. F. F. F. F. y.

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Closed k- strings in 2+1 dimensional SU ( N c ) gauge theories

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CHEM 515 Spectroscopy

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Lecture 12 APPLICATIONS OF GROUP THEORY 1) Chirality

Lecture 12 APPLICATIONS OF GROUP THEORY 1) Chirality. A species is called chiral if its mirror image (enantiomer) is NOT equivalent to the original.

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11. Space Inversion Invariance

11. Space Inversion Invariance. 11.1 Space Inversion in Two-Dimensional Euclidean Space 11.1.1 The Group O(2) 11.1.2 Irreducible Representations of O(2) 11.1.3 The Extended Euclidean Group , and its Irreducible Representations

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