Reduction formula for point group D4d

Your representation

E 2S8 2C4 2(S8)3 C2 4C'2 4d
48 0.0000 0 -0.0000 0 0 4

can be reduced to

A1 A2 B1 B2 E1 E2 E3
4 2 2 4 6 6 6

Substraction of translational and rotational contributions results in

A1 A2 B1 B2 E1 E2 E3
4 1 2 3 5 6 5


Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 B1 B2 E1 E2 E3
Infrared - - - + + - -
Raman + - - - - + +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 42 42 4
quadratic 1764 903 71
cubic 74088 13244 865
quartic 3111696 148995 9504
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 E3
linear 4 1 2 3 5 6 5
quadratic 71 45 57 60 110 115 110
cubic 865 795 817 843 1650 1662 1650
quartic 9504 9159 9296 9366 18590 18655 18590

Number of independant internal coordinates 4

Literature



Character tables for chemically important point groups Character table for point group D4d Constructor University Bremen
Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement