Reduction formula for point group C3



Characters for molecular motions
Motion E C3 (C3)2
Cartesian 3N 60 0 0
Translation 3 0 0
Rotation 3 0 0
Vibration 54 0 0



Decomposition into Irreducible representations
Motion A E Total
Cartesian 3N 20 20 40
Translation 1 1 2
Rotation 1 1 2
Vibration 18 18 36



Molecule Parameter
Number of Atoms (N) 20
Number of internal coordinates 54
Number of independant internal coordinates 18
Number of vibrational modes 36





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E Total
Linear (IR) 18 18 36 / 0
Quadratic (Raman) 18 18 36 / 0
IR + Raman 18 18 36 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C3 (C3)2
linear 1 54 0 0
quadratic 2 1.485 0 0
cubic 3 27.720 18 18
quartic 4 395.010 0 0
quintic 5 4.582.116 0 0
sextic 6 45.057.474 171 171


Decomposition into Irreducible representations
Force field Tensor
Order
A E
linear 1 18 18
quadratic 2 495 495
cubic 3 9.252 9.234
quartic 4 131.670 131.670
quintic 5 1.527.372 1.527.372
sextic 6 15.019.272 15.019.101


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