Reduction formula for point group T



Characters for molecular motions
Motion E 4C3 4(C3)2 3C2
Cartesian 3N 48 0 0 0
Translation 3 0 0 -1
Rotation 3 0 0 -1
Vibration 42 0 0 2



Decomposition into Irreducible representations
Motion A E T Total
Cartesian 3N 4 4 12 20
Translation 0 0 1 1
Rotation 0 0 1 1
Vibration 4 4 10 18



Molecule Parameter
Number of Atoms (N) 16
Number of internal coordinates 42
Number of independant internal coordinates 4
Number of vibrational modes 18





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E T Total
Linear (IR) 4 4 10 10 / 8
Quadratic (Raman) 4 4 10 18 / 0
IR + Raman - - 10 10 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E 4C3 4(C3)2 3C2
linear 1 42 0 0 2
quadratic 2 903 0 0 23
cubic 3 13.244 14 14 44
quartic 4 148.995 0 0 275
quintic 5 1.370.754 0 0 506
sextic 6 10.737.573 105 105 2.277


Decomposition into Irreducible representations
Force field Tensor
Order
A E T
linear 1 4 4 10
quadratic 2 81 81 220
cubic 3 1.124 1.110 3.300
quartic 4 12.485 12.485 37.180
quintic 5 114.356 114.356 342.562
sextic 6 895.437 895.332 2.683.824


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