Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 24 0
Translation 3 -1
Rotation 3 -1
Vibration 18 2



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 12 12 24
Translation 1 2 3
Rotation 1 2 3
Vibration 10 8 18



Molecule Parameter
Number of Atoms (N) 8
Number of internal coordinates 18
Number of independant internal coordinates 10
Number of vibrational modes 18





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 10 8 18 / 0
Quadratic (Raman) 10 8 18 / 0
IR + Raman 10 8 18 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 18 2
quadratic 2 171 11
cubic 3 1.140 20
quartic 4 5.985 65
quintic 5 26.334 110
sextic 6 100.947 275


Decomposition into Irreducible representations
Force field Tensor
Order
A B
linear 1 10 8
quadratic 2 91 80
cubic 3 580 560
quartic 4 3.025 2.960
quintic 5 13.222 13.112
sextic 6 50.611 50.336


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