Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 12 2
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 6 2



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 7 5 12
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 4 2 6



Molecule Parameter
Number of Atoms (N) 4
Number of internal coordinates 6
Number of independant internal coordinates 4
Number of vibrational modes 6





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 4 2 6 / 0
Quadratic (Raman) 4 2 6 / 0
IR + Raman 4 2 6 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 6 2
quadratic 2 21 5
cubic 3 56 8
quartic 4 126 14
quintic 5 252 20
sextic 6 462 30


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 4 2
quadratic 2 13 8
cubic 3 32 24
quartic 4 70 56
quintic 5 136 116
sextic 6 246 216


Literature




Character tables for chemically important point groups Character table for point group Cs Jacobs University Bremen

Last update Mai, 23rd 2018 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement