Reduction formula for point group C2



Characters for molecular motions
Motion E C2
Cartesian 3N 78 -2
Translation (x,y,z) 3 -1
Rotation (Rx,Ry,Rz) 3 -1
Vibration 72 0



Decomposition into Irreducible representations
Motion A B Total
Cartesian 3N 38 40 78
Translation (x,y,z) 1 2 3
Rotation (Rx,Ry,Rz) 1 2 3
Vibration 36 36 72



Molecule Parameter
Number of Atoms (N) 26
Number of internal coordinates 72
Number of independant internal coordinates 36
Number of vibrational modes 72





Force field analysis


Allowed / forbidden vibronational transitions
Operator A B Total
Linear (IR) 36 36 72 / 0
Quadratic (Raman) 36 36 72 / 0
IR + Raman 36 36 72 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C2
linear 1 72 0
quadratic 2 2.628 36
cubic 3 64.824 0
quartic 4 1.215.450 666
quintic 5 18.474.840 0
sextic 6 237.093.780 8.436


Decomposition into Irreducible representations
Number of nonvanshing force constants
Force field Tensor
Order
A B
linear 1 36 36
quadratic 2 1.332 1.296
cubic 3 32.412 32.412
quartic 4 608.058 607.392
quintic 5 9.237.420 9.237.420
sextic 6 118.551.108 118.542.672


Literature




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

Last update Mai, 23rd 2018 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement