Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 48 0
Translation (x,y,z) 3 -1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 42 2



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 24 24 48
Translation (x,y,z) 1 2 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 22 20 42



Molecule Parameter
Number of Atoms (N) 16
Number of internal coordinates 42
Number of independant internal coordinates 22
Number of vibrational modes 42





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 22 20 42 / 0
Quadratic (Raman) 22 20 42 / 0
IR + Raman 22 20 42 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 42 2
quadratic 2 903 23
cubic 3 13.244 44
quartic 4 148.995 275
quintic 5 1.370.754 506
sextic 6 10.737.573 2.277


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A B
linear 1 22 20
quadratic 2 463 440
cubic 3 6.644 6.600
quartic 4 74.635 74.360
quintic 5 685.630 685.124
sextic 6 5.369.925 5.367.648


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