Reduction formula for point group D2d

Your representation

E 2S4 C2 (z) 2C'2 2d
36 0 0 0 6

can be reduced to

A1 A2 B1 B2 E
6 3 3 6 9

Substraction of translational and rotational contributions results in

A1 A2 B1 B2 E
6 2 3 5 7



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 30 30 6
quadratic 900 465 73
cubic 27000 4960 664
quartic 810000 40920 5288
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 6 2 3 5 7
quadratic 73 48 56 64 112
cubic 664 584 600 648 1232
quartic 5288 4984 5056 5208 10192

Number of independant internal coordinates 6

Literature




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