Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 72 4
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 66 4



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 38 34 72
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 35 31 66



Molecule Parameter
Number of Atoms (N) 24
Number of internal coordinates 66
Number of independant internal coordinates 35
Number of vibrational modes 66





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 35 31 66 / 0
Quadratic (Raman) 35 31 66 / 0
IR + Raman 35 31 66 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 66 4
quadratic 2 2.211 41
cubic 3 50.116 144
quartic 4 864.501 841
quintic 5 12.103.014 2.660
sextic 6 143.218.999 11.585


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 35 31
quadratic 2 1.126 1.085
cubic 3 25.130 24.986
quartic 4 432.671 431.830
quintic 5 6.052.837 6.050.177
sextic 6 71.615.292 71.603.707


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