Reduction formula for point group T



Characters for molecular motions
Motion E 4C3 4(C3)2 3C2
Cartesian 3N 120 0 0 0
Translation 3 0 0 -1
Rotation 3 0 0 -1
Vibration 114 0 0 2



Decomposition into Irreducible representations
Motion A E T Total
Cartesian 3N 10 10 30 50
Translation 0 0 1 1
Rotation 0 0 1 1
Vibration 10 10 28 48



Molecule Parameter
Number of Atoms (N) 40
Number of internal coordinates 114
Number of independant internal coordinates 10
Number of vibrational modes 48





Force field analysis


Allowed / forbidden vibronational transitions
Operator A E T Total
Linear (IR) 10 10 28 28 / 20
Quadratic (Raman) 10 10 28 48 / 0
IR + Raman - - 28 28 / 0



Characters of symmetric powers for vibration representation
Force field Tensor
Order
E 4C3 4(C3)2 3C2
linear 1 114 0 0 2
quadratic 2 6.555 0 0 59
cubic 3 253.460 38 38 116
quartic 4 7.413.705 0 0 1.769
quintic 5 174.963.438 0 0 3.422
sextic 6 3.470.108.187 741 741 35.931


Decomposition into Irreducible representations
Force field Tensor
Order
A E T
linear 1 10 10 28
quadratic 2 561 561 1.624
cubic 3 21.176 21.138 63.336
quartic 4 618.251 618.251 1.852.984
quintic 5 14.581.142 14.581.142 43.740.004
sextic 6 289.185.159 289.184.418 867.518.064


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