Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 30 10
Translation (x,y,z) 3 -1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 24 12



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 20 10 30
Translation (x,y,z) 1 2 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 18 6 24



Molecule Parameter
Number of Atoms (N) 10
Number of internal coordinates 24
Number of independant internal coordinates 18
Number of vibrational modes 24





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 18 6 24 / 0
Quadratic (Raman) 18 6 24 / 0
IR + Raman 18 6 24 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 24 12
quadratic 2 300 84
cubic 3 2.600 436
quartic 4 17.550 1.854
quintic 5 98.280 6.804
sextic 6 475.020 22.260


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A B
linear 1 18 6
quadratic 2 192 108
cubic 3 1.518 1.082
quartic 4 9.702 7.848
quintic 5 52.542 45.738
sextic 6 248.640 226.380


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