Reduction formula for point group C3



Characters for molecular motions
Motion E C3 (C3)2
Cartesian 3N 36 0 0
Translation 3 0 0
Rotation 3 0 0
Vibration 30 0 0



Decomposition into Irreducible representations
Motion A E Total
Cartesian 3N 12 12 24
Translation 1 1 2
Rotation 1 1 2
Vibration 10 10 20



Molecule Parameter
Number of Atoms (N) 12
Number of internal coordinates 30
Number of independant internal coordinates 10
Number of vibrational modes 20





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E Total
Linear (IR) 10 10 20 / 0
Quadratic (Raman) 10 10 20 / 0
IR + Raman 10 10 20 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C3 (C3)2
linear 1 30 0 0
quadratic 2 465 0 0
cubic 3 4.960 10 10
quartic 4 40.920 0 0
quintic 5 278.256 0 0
sextic 6 1.623.160 55 55


Decomposition into Irreducible representations
Force field Tensor
Order
A E
linear 1 10 10
quadratic 2 155 155
cubic 3 1.660 1.650
quartic 4 13.640 13.640
quintic 5 92.752 92.752
sextic 6 541.090 541.035


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