Week 6 M - Pointgroup Symmetryelements Mullikensymbols A,...

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Character table for C 2v How to read and use character tables. Point group Symmetry elements Mulliken symbols A, B indicate non‐degenerate E refers to doubly generate T means triply degenerate z axis coincides with principal axis of rotaGon Linear, RotaGon z transforms as A 1 z forms a basis for A 1 quadraGc
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Labels used with character tables
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Label for the irreducible representaGons symmetric means a character of 1 and anGsymmetric means a character of ‐1. LeLers are assigned according to the dimension of the irreducible representaGon. Subscript 1 designates a representaGon symmetric to a C2 rotaGon perpendicular to the principal axis and subscript 2 for anGsymmetric. If there are no perpendicular C2, then it is according to verGcal plane. Subscript g (gerade) designates representaGon symmetric to inversion and u (ungerade) for anGsymmetric to inversion. Single primes are symmetric to σh and double primes are anGsymmetric to σh.
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Character table for C 3v C 3v
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C3v character table Example NH3
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# of symmetry elements : 2 x 4 x 2 = 16. Character table for D 4h PtCl 4 2‐
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ProperGes of characters of Irreducible RepresentaGons in Point groups
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ProperGes of characters of Irreducible RepresentaGons in Point groups
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