Reduction formula for point group D2d

Your representation

E 2S4 C2 (z) 2C'2 2d
51 -1 -1 -1 5

can be reduced to

A1 A2 B1 B2 E
7 5 5 8 13

Substraction of translational and rotational contributions results in

A1 A2 B1 B2 E
7 4 5 7 11



Force field analysis

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

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 45 45 7
quadratic 2025 1035 147
cubic 91125 16215 2069
quartic 4100625 194580 24574
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 E
linear 7 4 5 7 11
quadratic 147 118 129 135 253
cubic 2069 1990 2002 2058 4048
quartic 24574 24146 24278 24430 48576

Number of independant internal coordinates 7

Literature




Character tables for chemically important point groups Character table for point group D2d Jacobs University Bremen