Reduction formula for point group C3



Characters for molecular motions
Motion E C3 (C3)2
Cartesian 3N 120 0 0
Translation 3 0 0
Rotation 3 0 0
Vibration 114 0 0



Decomposition into Irreducible representations
Motion A E Total
Cartesian 3N 40 40 80
Translation 1 1 2
Rotation 1 1 2
Vibration 38 38 76



Molecule Parameter
Number of Atoms (N) 40
Number of internal coordinates 114
Number of independant internal coordinates 38
Number of vibrational modes 76





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E Total
Linear (IR) 38 38 76 / 0
Quadratic (Raman) 38 38 76 / 0
IR + Raman 38 38 76 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E C3 (C3)2
linear 1 114 0 0
quadratic 2 6.555 0 0
cubic 3 253.460 38 38
quartic 4 7.413.705 0 0
quintic 5 174.963.438 0 0
sextic 6 3.470.108.187 741 741


Decomposition into Irreducible representations
Force field Tensor
Order
A E
linear 1 38 38
quadratic 2 2.185 2.185
cubic 3 84.512 84.474
quartic 4 2.471.235 2.471.235
quintic 5 58.321.146 58.321.146
sextic 6 1.156.703.223 1.156.702.482


Literature




Character tables for chemically important point groups Character table for point group C3 Jacobs University Bremen

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