Reduction formula for point group D8

Your representation

E 2C8 2C4 2(C8)3 C2 4C'2 4C''2
99 2.4142 1 -0.4142 -1 -1 -1

can be reduced to

A1 A2 B1 B2 E1 E2 E3
6 7 6 6 13 12 12

Substraction of translational and rotational contributions results in

A1 A2 B1 B2 E1 E2 E3
6 5 6 6 11 12 12


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 93 93 6
quadratic 8649 4371 300
cubic 804357 138415 8677
quartic 74805201 3321960 208260
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 6 5 6 6 11 12 12
quadratic 300 253 276 276 541 552 540
cubic 8677 8630 8654 8654 17296 17308 17296
quartic 208260 207132 207696 207696 415104 415380 415104

Number of independant internal coordinates 6

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