Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 21 -3
Translation 3 -1
Rotation 3 -1
Vibration 15 -1



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 9 12 21
Translation 1 2 3
Rotation 1 2 3
Vibration 7 8 15



Molecule Parameter
Number of Atoms (N) 7
Number of internal coordinates 15
Number of independant internal coordinates 7
Number of vibrational modes 15





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 7 8 15 / 0
Quadratic (Raman) 7 8 15 / 0
IR + Raman 7 8 15 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 15 -1
quadratic 2 120 8
cubic 3 680 -8
quartic 4 3.060 36
quintic 5 11.628 -36
sextic 6 38.760 120


Decomposition into Irreducible representations
Force field Tensor
Order
A B
linear 1 7 8
quadratic 2 64 56
cubic 3 336 344
quartic 4 1.548 1.512
quintic 5 5.796 5.832
sextic 6 19.440 19.320


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