Reduction formula for point group T



Characters for molecular motions
Motion E 4C3 4(C3)2 3C2
Cartesian 3N 78 0 0 -2
Translation 3 0 0 -1
Rotation 3 0 0 -1
Vibration 72 0 0 0



Decomposition into Irreducible representations
Motion A E T Total
Cartesian 3N 6 6 20 32
Translation 0 0 1 1
Rotation 0 0 1 1
Vibration 6 6 18 30



Molecule Parameter
Number of Atoms (N) 26
Number of internal coordinates 72
Number of independant internal coordinates 6
Number of vibrational modes 30





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E T Total
Linear (IR) 6 6 18 18 / 12
Quadratic (Raman) 6 6 18 30 / 0
IR + Raman - - 18 18 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E 4C3 4(C3)2 3C2
linear 1 72 0 0 0
quadratic 2 2.628 0 0 36
cubic 3 64.824 24 24 0
quartic 4 1.215.450 0 0 666
quintic 5 18.474.840 0 0 0
sextic 6 237.093.780 300 300 8.436


Decomposition into Irreducible representations
Force field Tensor
Order
A E T
linear 1 6 6 18
quadratic 2 228 228 648
cubic 3 5.418 5.394 16.206
quartic 4 101.454 101.454 303.696
quintic 5 1.539.570 1.539.570 4.618.710
sextic 6 19.760.124 19.759.824 59.271.336


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