Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 84 0
Translation (x,y,z) 3 -1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 78 2



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 42 42 84
Translation (x,y,z) 1 2 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 40 38 78



Molecule Parameter
Number of Atoms (N) 28
Number of internal coordinates 78
Number of independant internal coordinates 40
Number of vibrational modes 78





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 40 38 78 / 0
Quadratic (Raman) 40 38 78 / 0
IR + Raman 40 38 78 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 78 2
quadratic 2 3.081 41
cubic 3 82.160 80
quartic 4 1.663.740 860
quintic 5 27.285.336 1.640
sextic 6 377.447.148 12.300


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A B
linear 1 40 38
quadratic 2 1.561 1.520
cubic 3 41.120 41.040
quartic 4 832.300 831.440
quintic 5 13.643.488 13.641.848
sextic 6 188.729.724 188.717.424


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