Reduction formula for point group C2



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



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 11 13 24
Translation 1 2 3
Rotation 1 2 3
Vibration 9 9 18



Molecule Parameter
Number of Atoms (N) 8
Number of internal coordinates 18
Number of independant internal coordinates 9
Number of vibrational modes 18





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 9 9 18 / 0
Quadratic (Raman) 9 9 18 / 0
IR + Raman 9 9 18 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 18 0
quadratic 2 171 9
cubic 3 1.140 0
quartic 4 5.985 45
quintic 5 26.334 0
sextic 6 100.947 165


Decomposition into Irreducible representations
Force field Tensor
Order
A B
linear 1 9 9
quadratic 2 90 81
cubic 3 570 570
quartic 4 3.015 2.970
quintic 5 13.167 13.167
sextic 6 50.556 50.391


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