Reduction formula for point group C3v



Characters of input representation
E 2C3 (z) 3v
6 0 2



Decomposition into Irreducible representations
A1 A2 E Total
2 0 2 4





Force field analysis


Allowed / forbidden vibronational transitions
Operator A1 A2 E Total
Linear (IR) 2 0 2 4 / 0
Quadratic (Raman) 2 0 2 4 / 0
IR + Raman 2 0 2 4 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E 2C3 (z) 3v
linear 1 6 0 2
quadratic 2 21 0 5
cubic 3 56 2 8
quartic 4 126 0 14
quintic 5 252 0 20
sextic 6 462 3 30


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A1 A2 E
linear 1 2 0 2
quadratic 2 6 1 7
cubic 3 14 6 18
quartic 4 28 14 42
quintic 5 52 32 84
sextic 6 93 63 153


Literature




Character tables for chemically important point groups Character table for point group C3v Jacobs University Bremen

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