Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 90 2
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 84 2



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 46 44 90
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 43 41 84



Molecule Parameter
Number of Atoms (N) 30
Number of internal coordinates 84
Number of independant internal coordinates 43
Number of vibrational modes 84





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 43 41 84 / 0
Quadratic (Raman) 43 41 84 / 0
IR + Raman 43 41 84 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 84 2
quadratic 2 3.570 44
cubic 3 102.340 86
quartic 4 2.225.895 989
quintic 5 39.175.752 1.892
sextic 6 581.106.988 15.136


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 43 41
quadratic 2 1.807 1.763
cubic 3 51.213 51.127
quartic 4 1.113.442 1.112.453
quintic 5 19.588.822 19.586.930
sextic 6 290.561.062 290.545.926


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