Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 18 0
Translation 3 -1
Rotation 3 -1
Vibration 12 2



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 9 9 18
Translation 1 2 3
Rotation 1 2 3
Vibration 7 5 12



Molecule Parameter
Number of Atoms (N) 6
Number of internal coordinates 12
Number of independant internal coordinates 7
Number of vibrational modes 12





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 7 5 12 / 0
Quadratic (Raman) 7 5 12 / 0
IR + Raman 7 5 12 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 12 2
quadratic 2 78 8
cubic 3 364 14
quartic 4 1.365 35
quintic 5 4.368 56
sextic 6 12.376 112


Decomposition into Irreducible representations
Force field Tensor
Order
A B
linear 1 7 5
quadratic 2 43 35
cubic 3 189 175
quartic 4 700 665
quintic 5 2.212 2.156
sextic 6 6.244 6.132


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