Reduction formula for point group C3



Characters for molecular motions
Motion E C3 (C3)2
Cartesian 3N 21 0 0
Translation 3 0 0
Rotation 3 0 0
Vibration 15 0 0



Decomposition into Irreducible representations
Motion A E Total
Cartesian 3N 7 7 14
Translation 1 1 2
Rotation 1 1 2
Vibration 5 5 10



Molecule Parameter
Number of Atoms (N) 7
Number of internal coordinates 15
Number of independant internal coordinates 5
Number of vibrational modes 10





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E Total
Linear (IR) 5 5 10 / 0
Quadratic (Raman) 5 5 10 / 0
IR + Raman 5 5 10 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C3 (C3)2
linear 1 15 0 0
quadratic 2 120 0 0
cubic 3 680 5 5
quartic 4 3.060 0 0
quintic 5 11.628 0 0
sextic 6 38.760 15 15


Decomposition into Irreducible representations
Force field Tensor
Order
A E
linear 1 5 5
quadratic 2 40 40
cubic 3 230 225
quartic 4 1.020 1.020
quintic 5 3.876 3.876
sextic 6 12.930 12.915


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