Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 75 -1
Translation (x,y,z) 3 -1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 69 1



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 37 38 75
Translation (x,y,z) 1 2 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 35 34 69



Molecule Parameter
Number of Atoms (N) 25
Number of internal coordinates 69
Number of independant internal coordinates 35
Number of vibrational modes 69





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 35 34 69 / 0
Quadratic (Raman) 35 34 69 / 0
IR + Raman 35 34 69 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 69 1
quadratic 2 2.415 35
cubic 3 57.155 35
quartic 4 1.028.790 630
quintic 5 15.020.334 630
sextic 6 185.250.786 7.770


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A B
linear 1 35 34
quadratic 2 1.225 1.190
cubic 3 28.595 28.560
quartic 4 514.710 514.080
quintic 5 7.510.482 7.509.852
sextic 6 92.629.278 92.621.508


Literature




Character tables for chemically important point groups Character table for point group C2 Constructor University Bremen

Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement