Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 18 4
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 12 4



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 11 7 18
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 8 4 12



Molecule Parameter
Number of Atoms (N) 6
Number of internal coordinates 12
Number of independant internal coordinates 8
Number of vibrational modes 12





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 8 4 12 / 0
Quadratic (Raman) 8 4 12 / 0
IR + Raman 8 4 12 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 12 4
quadratic 2 78 14
cubic 3 364 36
quartic 4 1.365 85
quintic 5 4.368 176
sextic 6 12.376 344


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 8 4
quadratic 2 46 32
cubic 3 200 164
quartic 4 725 640
quintic 5 2.272 2.096
sextic 6 6.360 6.016


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