Reduction formula for point group Cs



Characters for molecular motions
Motion E h
Cartesian 3N 21 7
Translation (x,y,z) 3 1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 15 7



Decomposition into Irreducible representations
Motion A' A'' Total
Cartesian 3N 14 7 21
Translation (x,y,z) 2 1 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 11 4 15



Molecule Parameter
Number of Atoms (N) 7
Number of internal coordinates 15
Number of independant internal coordinates 11
Number of vibrational modes 15





Force field analysis


Allowed / forbidden vibronational transitions
Operator A' A'' Total
Linear (IR) 11 4 15 / 0
Quadratic (Raman) 11 4 15 / 0
IR + Raman 11 4 15 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E h
linear 1 15 7
quadratic 2 120 32
cubic 3 680 112
quartic 4 3.060 332
quintic 5 11.628 868
sextic 6 38.760 2.064


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A' A''
linear 1 11 4
quadratic 2 76 44
cubic 3 396 284
quartic 4 1.696 1.364
quintic 5 6.248 5.380
sextic 6 20.412 18.348


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