Reduction formula for point group C3



Characters for molecular motions
Motion E C3 (C3)2
Cartesian 3N 24 0 0
Translation 3 0 0
Rotation 3 0 0
Vibration 18 0 0



Decomposition into Irreducible representations
Motion A E Total
Cartesian 3N 8 8 16
Translation 1 1 2
Rotation 1 1 2
Vibration 6 6 12



Molecule Parameter
Number of Atoms (N) 8
Number of internal coordinates 18
Number of independant internal coordinates 6
Number of vibrational modes 12





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E Total
Linear (IR) 6 6 12 / 0
Quadratic (Raman) 6 6 12 / 0
IR + Raman 6 6 12 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C3 (C3)2
linear 1 18 0 0
quadratic 2 171 0 0
cubic 3 1.140 6 6
quartic 4 5.985 0 0
quintic 5 26.334 0 0
sextic 6 100.947 21 21


Decomposition into Irreducible representations
Force field Tensor
Order
A E
linear 1 6 6
quadratic 2 57 57
cubic 3 384 378
quartic 4 1.995 1.995
quintic 5 8.778 8.778
sextic 6 33.663 33.642


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