Reduction formula for point group C3



Characters for molecular motions
Motion E C3 (C3)2
Cartesian 3N 252 0 0
Translation 3 0 0
Rotation 3 0 0
Vibration 246 0 0



Decomposition into Irreducible representations
Motion A E Total
Cartesian 3N 84 84 168
Translation 1 1 2
Rotation 1 1 2
Vibration 82 82 164



Molecule Parameter
Number of Atoms (N) 84
Number of internal coordinates 246
Number of independant internal coordinates 82
Number of vibrational modes 164





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E Total
Linear (IR) 82 82 164 / 0
Quadratic (Raman) 82 82 164 / 0
IR + Raman 82 82 164 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C3 (C3)2
linear 1 246 0 0
quadratic 2 30.381 0 0
cubic 3 2.511.496 82 82
quartic 4 156.340.626 0 0
quintic 5 7.817.031.300 0 0
sextic 6 327.012.476.050 3.403 3.403


Decomposition into Irreducible representations
Force field Tensor
Order
A E
linear 1 82 82
quadratic 2 10.127 10.127
cubic 3 837.220 837.138
quartic 4 52.113.542 52.113.542
quintic 5 2.605.677.100 2.605.677.100
sextic 6 109.004.160.952 109.004.157.549


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