Reduction formula for point group C2v



Characters of input representation
E C2 (z) v(xz) v(yz)
9 1 3 3



Decomposition into Irreducible representations
A1 A2 B1 B2 Total
4 1 2 2 9





Force field analysis


Allowed / forbidden vibronational transitions
Operator A1 A2 B1 B2 Total
Linear (IR) 4 1 2 2 8 / 1
Quadratic (Raman) 4 1 2 2 9 / 0
IR + Raman 4 - 2 2 8 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2 (z) v(xz) v(yz)
linear 1 9 1 3 3
quadratic 2 45 5 9 9
cubic 3 165 5 19 19
quartic 4 495 15 39 39
quintic 5 1.287 15 69 69
sextic 6 3.003 35 119 119


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A1 A2 B1 B2
linear 1 4 1 2 2
quadratic 2 17 8 10 10
cubic 3 52 33 40 40
quartic 4 147 108 120 120
quintic 5 360 291 318 318
sextic 6 819 700 742 742


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