Reduction formula for point group T



Characters for molecular motions
Motion E 4C3 4(C3)2 3C2
Cartesian 3N 36 0 0 0
Translation 3 0 0 -1
Rotation 3 0 0 -1
Vibration 30 0 0 2



Decomposition into Irreducible representations
Motion A E T Total
Cartesian 3N 3 3 9 15
Translation 0 0 1 1
Rotation 0 0 1 1
Vibration 3 3 7 13



Molecule Parameter
Number of Atoms (N) 12
Number of internal coordinates 30
Number of independant internal coordinates 3
Number of vibrational modes 13





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E T Total
Linear (IR) 3 3 7 7 / 6
Quadratic (Raman) 3 3 7 13 / 0
IR + Raman - - 7 7 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E 4C3 4(C3)2 3C2
linear 1 30 0 0 2
quadratic 2 465 0 0 17
cubic 3 4.960 10 10 32
quartic 4 40.920 0 0 152
quintic 5 278.256 0 0 272
sextic 6 1.623.160 55 55 952


Decomposition into Irreducible representations
Force field Tensor
Order
A E T
linear 1 3 3 7
quadratic 2 43 43 112
cubic 3 428 418 1.232
quartic 4 3.448 3.448 10.192
quintic 5 23.256 23.256 69.496
sextic 6 135.538 135.483 405.552


Literature




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

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