Reduction formula for point group T



Characters for molecular motions
Motion E 4C3 4(C3)2 3C2
Cartesian 3N 180 0 0 0
Translation 3 0 0 -1
Rotation 3 0 0 -1
Vibration 174 0 0 2



Decomposition into Irreducible representations
Motion A E T Total
Cartesian 3N 15 15 45 75
Translation 0 0 1 1
Rotation 0 0 1 1
Vibration 15 15 43 73



Molecule Parameter
Number of Atoms (N) 60
Number of internal coordinates 174
Number of independant internal coordinates 15
Number of vibrational modes 73





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E T Total
Linear (IR) 15 15 43 43 / 30
Quadratic (Raman) 15 15 43 73 / 0
IR + Raman - - 43 43 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E 4C3 4(C3)2 3C2
linear 1 174 0 0 2
quadratic 2 15.225 0 0 89
cubic 3 893.200 58 58 176
quartic 4 39.524.100 0 0 4.004
quintic 5 1.407.057.960 0 0 7.832
sextic 6 41.977.229.140 1.711 1.711 121.396


Decomposition into Irreducible representations
Force field Tensor
Order
A E T
linear 1 15 15 43
quadratic 2 1.291 1.291 3.784
cubic 3 74.516 74.458 223.256
quartic 4 3.294.676 3.294.676 9.880.024
quintic 5 117.256.788 117.256.788 351.762.532
sextic 6 3.498.133.918 3.498.132.207 10.494.276.936


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