Reduction formula for point group T



Characters for molecular motions
Motion E 4C3 4(C3)2 3C2
Cartesian 3N 51 0 0 -1
Translation 3 0 0 -1
Rotation 3 0 0 -1
Vibration 45 0 0 1



Decomposition into Irreducible representations
Motion A E T Total
Cartesian 3N 4 4 13 21
Translation 0 0 1 1
Rotation 0 0 1 1
Vibration 4 4 11 19



Molecule Parameter
Number of Atoms (N) 17
Number of internal coordinates 45
Number of independant internal coordinates 4
Number of vibrational modes 19





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E T Total
Linear (IR) 4 4 11 11 / 8
Quadratic (Raman) 4 4 11 19 / 0
IR + Raman - - 11 11 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E 4C3 4(C3)2 3C2
linear 1 45 0 0 1
quadratic 2 1.035 0 0 23
cubic 3 16.215 15 15 23
quartic 4 194.580 0 0 276
quintic 5 1.906.884 0 0 276
sextic 6 15.890.700 120 120 2.300


Decomposition into Irreducible representations
Force field Tensor
Order
A E T
linear 1 4 4 11
quadratic 2 92 92 253
cubic 3 1.367 1.352 4.048
quartic 4 16.284 16.284 48.576
quintic 5 158.976 158.976 476.652
sextic 6 1.324.880 1.324.760 3.972.100


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