Reduction formula for point group T



Characters for molecular motions
Motion E 4C3 4(C3)2 3C2
Cartesian 3N 66 0 0 -2
Translation 3 0 0 -1
Rotation 3 0 0 -1
Vibration 60 0 0 0



Decomposition into Irreducible representations
Motion A E T Total
Cartesian 3N 5 5 17 27
Translation 0 0 1 1
Rotation 0 0 1 1
Vibration 5 5 15 25



Molecule Parameter
Number of Atoms (N) 22
Number of internal coordinates 60
Number of independant internal coordinates 5
Number of vibrational modes 25





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E T Total
Linear (IR) 5 5 15 15 / 10
Quadratic (Raman) 5 5 15 25 / 0
IR + Raman - - 15 15 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E 4C3 4(C3)2 3C2
linear 1 60 0 0 0
quadratic 2 1.830 0 0 30
cubic 3 37.820 20 20 0
quartic 4 595.665 0 0 465
quintic 5 7.624.512 0 0 0
sextic 6 82.598.880 210 210 4.960


Decomposition into Irreducible representations
Force field Tensor
Order
A E T
linear 1 5 5 15
quadratic 2 160 160 450
cubic 3 3.165 3.145 9.455
quartic 4 49.755 49.755 148.800
quintic 5 635.376 635.376 1.906.128
sextic 6 6.884.620 6.884.410 20.648.480


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