Reduction formula for point group D6

Your representation

E 2C6 (z) 2C3 (z) C2 (z) 3C'2 3C''2
36 0 0 0 -4 0

can be reduced to

A1 A2 B1 B2 E1 E2
2 4 2 4 6 6

Substraction of translational and rotational contributions results in

A1 A2 B1 B2 E1 E2
2 2 2 4 4 6



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 30 30 2
quadratic 900 465 50
cubic 27000 4960 416
quartic 810000 40920 3500
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 2 2 2 4 4 6
quadratic 50 33 36 36 76 79
cubic 416 416 398 430 818 832
quartic 3500 3348 3396 3396 6796 6844

Number of independant internal coordinates 2

Literature




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