Reduction formula for point group C3



Characters for molecular motions
Motion E C3 (C3)2
Cartesian 3N 18 0 0
Translation 3 0 0
Rotation 3 0 0
Vibration 12 0 0



Decomposition into Irreducible representations
Motion A E Total
Cartesian 3N 6 6 12
Translation 1 1 2
Rotation 1 1 2
Vibration 4 4 8



Molecule Parameter
Number of Atoms (N) 6
Number of internal coordinates 12
Number of independant internal coordinates 4
Number of vibrational modes 8





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E Total
Linear (IR) 4 4 8 / 0
Quadratic (Raman) 4 4 8 / 0
IR + Raman 4 4 8 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C3 (C3)2
linear 1 12 0 0
quadratic 2 78 0 0
cubic 3 364 4 4
quartic 4 1.365 0 0
quintic 5 4.368 0 0
sextic 6 12.376 10 10


Decomposition into Irreducible representations
Force field Tensor
Order
A E
linear 1 4 4
quadratic 2 26 26
cubic 3 124 120
quartic 4 455 455
quintic 5 1.456 1.456
sextic 6 4.132 4.122


Literature




Character tables for chemically important point groups Character table for point group C3 Jacobs University Bremen

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