Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 48 4
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 42 4



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 26 22 48
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 23 19 42



Molecule Parameter
Number of Atoms (N) 16
Number of internal coordinates 42
Number of independant internal coordinates 23
Number of vibrational modes 42





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 23 19 42 / 0
Quadratic (Raman) 23 19 42 / 0
IR + Raman 23 19 42 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 42 4
quadratic 2 903 29
cubic 3 13.244 96
quartic 4 148.995 415
quintic 5 1.370.754 1.196
sextic 6 10.737.573 3.979


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 23 19
quadratic 2 466 437
cubic 3 6.670 6.574
quartic 4 74.705 74.290
quintic 5 685.975 684.779
sextic 6 5.370.776 5.366.797


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