Reduction formula for point group C3



Characters for molecular motions
Motion E C3 (C3)2
Cartesian 3N 324 0 0
Translation 3 0 0
Rotation 3 0 0
Vibration 318 0 0



Decomposition into Irreducible representations
Motion A E Total
Cartesian 3N 108 108 216
Translation 1 1 2
Rotation 1 1 2
Vibration 106 106 212



Molecule Parameter
Number of Atoms (N) 108
Number of internal coordinates 318
Number of independant internal coordinates 106
Number of vibrational modes 212





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E Total
Linear (IR) 106 106 212 / 0
Quadratic (Raman) 106 106 212 / 0
IR + Raman 106 106 212 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C3 (C3)2
linear 1 318 0 0
quadratic 2 50.721 0 0
cubic 3 5.410.240 106 106
quartic 4 434.171.760 0 0
quintic 5 27.960.661.344 0 0
sextic 6 1.505.215.602.352 5.671 5.671


Decomposition into Irreducible representations
Force field Tensor
Order
A E
linear 1 106 106
quadratic 2 16.907 16.907
cubic 3 1.803.484 1.803.378
quartic 4 144.723.920 144.723.920
quintic 5 9.320.220.448 9.320.220.448
sextic 6 501.738.537.898 501.738.532.227


Literature




Character tables for chemically important point groups Character table for point group C3 Jacobs University Bremen

Last update Mai, 23rd 2018 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement