Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 72 2
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 66 2



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 37 35 72
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 34 32 66



Molecule Parameter
Number of Atoms (N) 24
Number of internal coordinates 66
Number of independant internal coordinates 34
Number of vibrational modes 66





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 34 32 66 / 0
Quadratic (Raman) 34 32 66 / 0
IR + Raman 34 32 66 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 66 2
quadratic 2 2.211 35
cubic 3 50.116 68
quartic 4 864.501 629
quintic 5 12.103.014 1.190
sextic 6 143.218.999 7.735


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 34 32
quadratic 2 1.123 1.088
cubic 3 25.092 25.024
quartic 4 432.565 431.936
quintic 5 6.052.102 6.050.912
sextic 6 71.613.367 71.605.632


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