Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 15 -1
Translation (x,y,z) 3 -1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 9 1



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 7 8 15
Translation (x,y,z) 1 2 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 5 4 9



Molecule Parameter
Number of Atoms (N) 5
Number of internal coordinates 9
Number of independant internal coordinates 5
Number of vibrational modes 9





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 5 4 9 / 0
Quadratic (Raman) 5 4 9 / 0
IR + Raman 5 4 9 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 9 1
quadratic 2 45 5
cubic 3 165 5
quartic 4 495 15
quintic 5 1.287 15
sextic 6 3.003 35


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A B
linear 1 5 4
quadratic 2 25 20
cubic 3 85 80
quartic 4 255 240
quintic 5 651 636
sextic 6 1.519 1.484


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