Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 54 0
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 48 0



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 27 27 54
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 24 24 48



Molecule Parameter
Number of Atoms (N) 18
Number of internal coordinates 48
Number of independant internal coordinates 24
Number of vibrational modes 48





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 24 24 48 / 0
Quadratic (Raman) 24 24 48 / 0
IR + Raman 24 24 48 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 48 0
quadratic 2 1.176 24
cubic 3 19.600 0
quartic 4 249.900 300
quintic 5 2.598.960 0
sextic 6 22.957.480 2.600


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 24 24
quadratic 2 600 576
cubic 3 9.800 9.800
quartic 4 125.100 124.800
quintic 5 1.299.480 1.299.480
sextic 6 11.480.040 11.477.440


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