Reduction formula for point group C3



Characters for molecular motions
Motion E C3 (C3)2
Cartesian 3N 48 0 0
Translation 3 0 0
Rotation 3 0 0
Vibration 42 0 0



Decomposition into Irreducible representations
Motion A E Total
Cartesian 3N 16 16 32
Translation 1 1 2
Rotation 1 1 2
Vibration 14 14 28



Molecule Parameter
Number of Atoms (N) 16
Number of internal coordinates 42
Number of independant internal coordinates 14
Number of vibrational modes 28





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E Total
Linear (IR) 14 14 28 / 0
Quadratic (Raman) 14 14 28 / 0
IR + Raman 14 14 28 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C3 (C3)2
linear 1 42 0 0
quadratic 2 903 0 0
cubic 3 13.244 14 14
quartic 4 148.995 0 0
quintic 5 1.370.754 0 0
sextic 6 10.737.573 105 105


Decomposition into Irreducible representations
Force field Tensor
Order
A E
linear 1 14 14
quadratic 2 301 301
cubic 3 4.424 4.410
quartic 4 49.665 49.665
quintic 5 456.918 456.918
sextic 6 3.579.261 3.579.156


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