Reduction formula for point group C6

Your representation

E C6 C3 C2 (C3)2 (C6)5
324 0 0 0 0 0

can be reduced to

A B E1 E2
54 54 54 54

Substraction of translational and rotational contributions results in

A B E1 E2
52 54 52 54



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A B E1 E2
Infrared + - + -
Raman + - + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 318 318 52
quadratic 101124 50721 8483
cubic 32157432 5410240 901792
quartic XXX*XXX*XXX*
No. 1 : Total number of force constants .
No. 2 : Total number of force constants k.
No. 3 : Total number of nonvanishing force constants k.

Symmetry properties of force field parameters
Force field A B E1 E2
linear 52 54 52 54
quadratic 8483 8424 8428 8479
cubic 901792 901692 901634 901744
quartic XXX*XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 52

Literature




Character tables for chemically important point groups Character table for point group C6 Jacobs University Bremen