Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 30 0
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 24 0



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 15 15 30
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 12 12 24



Molecule Parameter
Number of Atoms (N) 10
Number of internal coordinates 24
Number of independant internal coordinates 12
Number of vibrational modes 24





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 12 12 24 / 0
Quadratic (Raman) 12 12 24 / 0
IR + Raman 12 12 24 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 24 0
quadratic 2 300 12
cubic 3 2.600 0
quartic 4 17.550 78
quintic 5 98.280 0
sextic 6 475.020 364


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 12 12
quadratic 2 156 144
cubic 3 1.300 1.300
quartic 4 8.814 8.736
quintic 5 49.140 49.140
sextic 6 237.692 237.328


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