Reduction formula for point group C3



Characters for molecular motions
Motion E C3 (C3)2
Cartesian 3N 57 0 0
Translation 3 0 0
Rotation 3 0 0
Vibration 51 0 0



Decomposition into Irreducible representations
Motion A E Total
Cartesian 3N 19 19 38
Translation 1 1 2
Rotation 1 1 2
Vibration 17 17 34



Molecule Parameter
Number of Atoms (N) 19
Number of internal coordinates 51
Number of independant internal coordinates 17
Number of vibrational modes 34





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E Total
Linear (IR) 17 17 34 / 0
Quadratic (Raman) 17 17 34 / 0
IR + Raman 17 17 34 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C3 (C3)2
linear 1 51 0 0
quadratic 2 1.326 0 0
cubic 3 23.426 17 17
quartic 4 316.251 0 0
quintic 5 3.478.761 0 0
sextic 6 32.468.436 153 153


Decomposition into Irreducible representations
Force field Tensor
Order
A E
linear 1 17 17
quadratic 2 442 442
cubic 3 7.820 7.803
quartic 4 105.417 105.417
quintic 5 1.159.587 1.159.587
sextic 6 10.822.914 10.822.761


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