Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 24 -4
Translation (x,y,z) 3 -1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 18 -2



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 10 14 24
Translation (x,y,z) 1 2 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 8 10 18



Molecule Parameter
Number of Atoms (N) 8
Number of internal coordinates 18
Number of independant internal coordinates 8
Number of vibrational modes 18





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 8 10 18 / 0
Quadratic (Raman) 8 10 18 / 0
IR + Raman 8 10 18 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 18 -2
quadratic 2 171 11
cubic 3 1.140 -20
quartic 4 5.985 65
quintic 5 26.334 -110
sextic 6 100.947 275


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A B
linear 1 8 10
quadratic 2 91 80
cubic 3 560 580
quartic 4 3.025 2.960
quintic 5 13.112 13.222
sextic 6 50.611 50.336


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