Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 36 -4
Translation 3 -1
Rotation 3 -1
Vibration 30 -2



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 16 20 36
Translation 1 2 3
Rotation 1 2 3
Vibration 14 16 30



Molecule Parameter
Number of Atoms (N) 12
Number of internal coordinates 30
Number of independant internal coordinates 14
Number of vibrational modes 30





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 14 16 30 / 0
Quadratic (Raman) 14 16 30 / 0
IR + Raman 14 16 30 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 30 -2
quadratic 2 465 17
cubic 3 4.960 -32
quartic 4 40.920 152
quintic 5 278.256 -272
sextic 6 1.623.160 952


Decomposition into Irreducible representations
Force field Tensor
Order
A B
linear 1 14 16
quadratic 2 241 224
cubic 3 2.464 2.496
quartic 4 20.536 20.384
quintic 5 138.992 139.264
sextic 6 812.056 811.104


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