Reduction formula for point group C2v



Characters of input representation
E C2 (z) v(xz) v(yz)
3 1 3 1



Decomposition into Irreducible representations
A1 A2 B1 B2 Total
2 0 1 0 3





Force field analysis


Allowed / forbidden vibronational transitions
Operator A1 A2 B1 B2 Total
Linear (IR) 2 0 1 0 3 / 0
Quadratic (Raman) 2 0 1 0 3 / 0
IR + Raman 2 - 1 0 3 / 0



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


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A1 A2 B1 B2
linear 1 2 0 1 0
quadratic 2 4 0 2 0
cubic 3 6 0 4 0
quartic 4 9 0 6 0
quintic 5 12 0 9 0
sextic 6 16 0 12 0


Literature




Character tables for chemically important point groups Character table for point group C2v Jacobs University Bremen

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