Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 60 0
Translation 3 -1
Rotation 3 -1
Vibration 54 2



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 30 30 60
Translation 1 2 3
Rotation 1 2 3
Vibration 28 26 54



Molecule Parameter
Number of Atoms (N) 20
Number of internal coordinates 54
Number of independant internal coordinates 28
Number of vibrational modes 54





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 28 26 54 / 0
Quadratic (Raman) 28 26 54 / 0
IR + Raman 28 26 54 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 54 2
quadratic 2 1.485 29
cubic 3 27.720 56
quartic 4 395.010 434
quintic 5 4.582.116 812
sextic 6 45.057.474 4.466


Decomposition into Irreducible representations
Force field Tensor
Order
A B
linear 1 28 26
quadratic 2 757 728
cubic 3 13.888 13.832
quartic 4 197.722 197.288
quintic 5 2.291.464 2.290.652
sextic 6 22.530.970 22.526.504


Literature




Character tables for chemically important point groups Character table for point group C2 Jacobs University Bremen

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