Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 9 3
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 3 3



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 6 3 9
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 3 0 3



Molecule Parameter
Number of Atoms (N) 3
Number of internal coordinates 3
Number of independant internal coordinates 3
Number of vibrational modes 3





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 3 0 3 / 0
Quadratic (Raman) 3 0 3 / 0
IR + Raman 3 0 3 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 3 3
quadratic 2 6 6
cubic 3 10 10
quartic 4 15 15
quintic 5 21 21
sextic 6 28 28


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 3 0
quadratic 2 6 0
cubic 3 10 0
quartic 4 15 0
quintic 5 21 0
sextic 6 28 0


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