Reduction formula for point group C2v



Characters of input representation
E C2 (z) v(xz) v(yz)
18 2 8 0



Decomposition into Irreducible representations
A1 A2 B1 B2 Total
7 3 6 2 18





Force field analysis


Allowed / forbidden vibronational transitions
Operator A1 A2 B1 B2 Total
Linear (IR) 7 3 6 2 15 / 3
Quadratic (Raman) 7 3 6 2 18 / 0
IR + Raman 7 - 6 2 15 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2 (z) v(xz) v(yz)
linear 1 18 2 8 0
quadratic 2 171 11 41 9
cubic 3 1.140 20 160 0
quartic 4 5.985 65 525 45
quintic 5 26.334 110 1.512 0
sextic 6 100.947 275 3.941 165


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A1 A2 B1 B2
linear 1 7 3 6 2
quadratic 2 58 33 48 32
cubic 3 330 250 320 240
quartic 4 1.655 1.370 1.600 1.360
quintic 5 6.989 6.233 6.934 6.178
sextic 6 26.332 24.279 26.112 24.224


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