Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 12 -2
Translation 3 -1
Rotation 3 -1
Vibration 6 0



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 5 7 12
Translation 1 2 3
Rotation 1 2 3
Vibration 3 3 6



Molecule Parameter
Number of Atoms (N) 4
Number of internal coordinates 6
Number of independant internal coordinates 3
Number of vibrational modes 6





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 3 3 6 / 0
Quadratic (Raman) 3 3 6 / 0
IR + Raman 3 3 6 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 6 0
quadratic 2 21 3
cubic 3 56 0
quartic 4 126 6
quintic 5 252 0
sextic 6 462 10


Decomposition into Irreducible representations
Force field Tensor
Order
A B
linear 1 3 3
quadratic 2 12 9
cubic 3 28 28
quartic 4 66 60
quintic 5 126 126
sextic 6 236 226


Literature




Character tables for chemically important point groups Character table for point group C2 Jacobs University Bremen

Last update Mai, 23rd 2018 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement