Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 9 1
Translation (x,y,z) 3 1
Rotation (Rx,Ry)* 2 -2
Vibration 4 2
* Linear molecule


Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 5 4 9
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry)* 0 2 2
Vibration 3 1 4
* Linear molecule


Molecule Parameter
Number of Atoms (N) 3
Number of internal coordinates 4
Number of independant internal coordinates 3
Number of vibrational modes 4





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 3 1 4 / 0
Quadratic (Raman) 3 1 4 / 0
IR + Raman 3 1 4 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 4 2
quadratic 2 10 4
cubic 3 20 6
quartic 4 35 9
quintic 5 56 12
sextic 6 84 16


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 3 1
quadratic 2 7 3
cubic 3 13 7
quartic 4 22 13
quintic 5 34 22
sextic 6 50 34


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