Reduction formula for point group D8

Your representation

E 2C8 2C4 2(C8)3 C2 4C'2 4C''2
48 0.0000 0 -0.0000 0 -4 0

can be reduced to

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

Substraction of translational and rotational contributions results in

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


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 2
quadratic 1764 903 71
cubic 74088 13244 828
quartic 3111696 148995 9470
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 2 2 2 4 4 6 6
quadratic 71 48 57 57 112 115 108
cubic 828 828 810 854 1648 1662 1652
quartic 9470 9195 9330 9330 18592 18655 18588

Number of independant internal coordinates 2

Literature



Character tables for chemically important point groups Character table for point group D8 Constructor University Bremen
Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement