Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 30 2
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 24 2



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 16 14 30
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 13 11 24



Molecule Parameter
Number of Atoms (N) 10
Number of internal coordinates 24
Number of independant internal coordinates 13
Number of vibrational modes 24





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 13 11 24 / 0
Quadratic (Raman) 13 11 24 / 0
IR + Raman 13 11 24 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 24 2
quadratic 2 300 14
cubic 3 2.600 26
quartic 4 17.550 104
quintic 5 98.280 182
sextic 6 475.020 546


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 13 11
quadratic 2 157 143
cubic 3 1.313 1.287
quartic 4 8.827 8.723
quintic 5 49.231 49.049
sextic 6 237.783 237.237


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