Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 54 18
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 48 18



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 36 18 54
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 33 15 48



Molecule Parameter
Number of Atoms (N) 18
Number of internal coordinates 48
Number of independant internal coordinates 33
Number of vibrational modes 48





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 33 15 48 / 0
Quadratic (Raman) 33 15 48 / 0
IR + Raman 33 15 48 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 48 18
quadratic 2 1.176 186
cubic 3 19.600 1.410
quartic 4 249.900 8.670
quintic 5 2.598.960 45.594
sextic 6 22.957.480 211.922


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 33 15
quadratic 2 681 495
cubic 3 10.505 9.095
quartic 4 129.285 120.615
quintic 5 1.322.277 1.276.683
sextic 6 11.584.701 11.372.779


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