Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 9 -3
Translation (x,y,z) 3 -1
Rotation (Rx,Ry)* 2 -2
Vibration 4 0
* Linear molecule


Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 3 6 9
Translation (x,y,z) 1 2 3
Rotation (Rx,Ry)* 0 2 2
Vibration 2 2 4
* Linear molecule


Molecule Parameter
Number of Atoms (N) 3
Number of internal coordinates 4
Number of independant internal coordinates 2
Number of vibrational modes 4





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 2 2 4 / 0
Quadratic (Raman) 2 2 4 / 0
IR + Raman 2 2 4 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 4 0
quadratic 2 10 2
cubic 3 20 0
quartic 4 35 3
quintic 5 56 0
sextic 6 84 4


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A B
linear 1 2 2
quadratic 2 6 4
cubic 3 10 10
quartic 4 19 16
quintic 5 28 28
sextic 6 44 40


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