Reduction formula for point group C3



Characters for molecular motions
Motion E C3 (C3)2
Cartesian 3N 66 0 0
Translation 3 0 0
Rotation 3 0 0
Vibration 60 0 0



Decomposition into Irreducible representations
Motion A E Total
Cartesian 3N 22 22 44
Translation 1 1 2
Rotation 1 1 2
Vibration 20 20 40



Molecule Parameter
Number of Atoms (N) 22
Number of internal coordinates 60
Number of independant internal coordinates 20
Number of vibrational modes 40





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E Total
Linear (IR) 20 20 40 / 0
Quadratic (Raman) 20 20 40 / 0
IR + Raman 20 20 40 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C3 (C3)2
linear 1 60 0 0
quadratic 2 1.830 0 0
cubic 3 37.820 20 20
quartic 4 595.665 0 0
quintic 5 7.624.512 0 0
sextic 6 82.598.880 210 210


Decomposition into Irreducible representations
Force field Tensor
Order
A E
linear 1 20 20
quadratic 2 610 610
cubic 3 12.620 12.600
quartic 4 198.555 198.555
quintic 5 2.541.504 2.541.504
sextic 6 27.533.100 27.532.890


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