Reduction formula for point group T



Characters for molecular motions
Motion E 4C3 4(C3)2 3C2
Cartesian 3N 72 0 0 0
Translation 3 0 0 -1
Rotation 3 0 0 -1
Vibration 66 0 0 2



Decomposition into Irreducible representations
Motion A E T Total
Cartesian 3N 6 6 18 30
Translation 0 0 1 1
Rotation 0 0 1 1
Vibration 6 6 16 28



Molecule Parameter
Number of Atoms (N) 24
Number of internal coordinates 66
Number of independant internal coordinates 6
Number of vibrational modes 28





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E T Total
Linear (IR) 6 6 16 16 / 12
Quadratic (Raman) 6 6 16 28 / 0
IR + Raman - - 16 16 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E 4C3 4(C3)2 3C2
linear 1 66 0 0 2
quadratic 2 2.211 0 0 35
cubic 3 50.116 22 22 68
quartic 4 864.501 0 0 629
quintic 5 12.103.014 0 0 1.190
sextic 6 143.218.999 253 253 7.735


Decomposition into Irreducible representations
Force field Tensor
Order
A E T
linear 1 6 6 16
quadratic 2 193 193 544
cubic 3 4.208 4.186 12.512
quartic 4 72.199 72.199 215.968
quintic 5 1.008.882 1.008.882 3.025.456
sextic 6 11.937.019 11.936.766 35.802.816


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