Reduction formula for point group D6

Your representation

E 2C6 (z) 2C3 (z) C2 (z) 3C'2 3C''2
324 0 0 0 0 0

can be reduced to

A1 A2 B1 B2 E1 E2
27 27 27 27 54 54

Substraction of translational and rotational contributions results in

A1 A2 B1 B2 E1 E2
27 25 27 27 52 54



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 B1 B2 E1 E2
Infrared - + - - + -
Raman + - - - + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 318 318 27
quadratic 101124 50721 4322
cubic 32157432 5410240 451056
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 A1 A2 B1 B2 E1 E2
linear 27 25 27 27 52 54
quadratic 4322 4161 4212 4212 8428 8479
cubic 451056 450736 450846 450846 901634 901744
quartic XXX*XXX*XXX*XXX*XXX*XXX*
*Not calculated for systems with more than 75 atoms

Number of independant internal coordinates 27

Literature




Character tables for chemically important point groups Character table for point group D6 Jacobs University Bremen