Reduction formula for point group C3



Characters for molecular motions
Motion E C3 (C3)2
Cartesian 3N 180 0 0
Translation 3 0 0
Rotation 3 0 0
Vibration 174 0 0



Decomposition into Irreducible representations
Motion A E Total
Cartesian 3N 60 60 120
Translation 1 1 2
Rotation 1 1 2
Vibration 58 58 116



Molecule Parameter
Number of Atoms (N) 60
Number of internal coordinates 174
Number of independant internal coordinates 58
Number of vibrational modes 116





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E Total
Linear (IR) 58 58 116 / 0
Quadratic (Raman) 58 58 116 / 0
IR + Raman 58 58 116 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C3 (C3)2
linear 1 174 0 0
quadratic 2 15.225 0 0
cubic 3 893.200 58 58
quartic 4 39.524.100 0 0
quintic 5 1.407.057.960 0 0
sextic 6 41.977.229.140 1.711 1.711


Decomposition into Irreducible representations
Force field Tensor
Order
A E
linear 1 58 58
quadratic 2 5.075 5.075
cubic 3 297.772 297.714
quartic 4 13.174.700 13.174.700
quintic 5 469.019.320 469.019.320
sextic 6 13.992.410.854 13.992.409.143


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