Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 210 0
Translation (x,y,z) 3 -1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 204 2



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 105 105 210
Translation (x,y,z) 1 2 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 103 101 204



Molecule Parameter
Number of Atoms (N) 70
Number of internal coordinates 204
Number of independant internal coordinates 103
Number of vibrational modes 204





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 103 101 204 / 0
Quadratic (Raman) 103 101 204 / 0
IR + Raman 103 101 204 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 204 2
quadratic 2 20.910 104
cubic 3 1.435.820 206
quartic 4 74.303.685 5.459
quintic 5 3.091.033.296 10.712
sextic 6 107.670.993.144 192.816


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A B
linear 1 103 101
quadratic 2 10.507 10.403
cubic 3 718.013 717.807
quartic 4 37.154.572 37.149.113
quintic 5 1.545.522.004 1.545.511.292
sextic 6 53.835.592.980 53.835.400.164


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