Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 54 2
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 48 2



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 28 26 54
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 25 23 48



Molecule Parameter
Number of Atoms (N) 18
Number of internal coordinates 48
Number of independant internal coordinates 25
Number of vibrational modes 48





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 25 23 48 / 0
Quadratic (Raman) 25 23 48 / 0
IR + Raman 25 23 48 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 48 2
quadratic 2 1.176 26
cubic 3 19.600 50
quartic 4 249.900 350
quintic 5 2.598.960 650
sextic 6 22.957.480 3.250


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 25 23
quadratic 2 601 575
cubic 3 9.825 9.775
quartic 4 125.125 124.775
quintic 5 1.299.805 1.299.155
sextic 6 11.480.365 11.477.115


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