Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 30 10
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 24 10



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 20 10 30
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 17 7 24



Molecule Parameter
Number of Atoms (N) 10
Number of internal coordinates 24
Number of independant internal coordinates 17
Number of vibrational modes 24





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 17 7 24 / 0
Quadratic (Raman) 17 7 24 / 0
IR + Raman 17 7 24 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 24 10
quadratic 2 300 62
cubic 3 2.600 290
quartic 4 17.550 1.128
quintic 5 98.280 3.822
sextic 6 475.020 11.634


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 17 7
quadratic 2 181 119
cubic 3 1.445 1.155
quartic 4 9.339 8.211
quintic 5 51.051 47.229
sextic 6 243.327 231.693


Literature




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

Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement