Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 9 -1
Translation 3 -1
Rotation 3 -1
Vibration 3 1



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 4 5 9
Translation 1 2 3
Rotation 1 2 3
Vibration 2 1 3



Molecule Parameter
Number of Atoms (N) 3
Number of internal coordinates 3
Number of independant internal coordinates 2
Number of vibrational modes 3





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 2 1 3 / 0
Quadratic (Raman) 2 1 3 / 0
IR + Raman 2 1 3 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 3 1
quadratic 2 6 2
cubic 3 10 2
quartic 4 15 3
quintic 5 21 3
sextic 6 28 4


Decomposition into Irreducible representations
Force field Tensor
Order
A B
linear 1 2 1
quadratic 2 4 2
cubic 3 6 4
quartic 4 9 6
quintic 5 12 9
sextic 6 16 12


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