Reduction formula for point group D8h

Your representation

E 2C8 2(C8)3 2C4 C2 (z) 4C2' 4C2'' i 2(S8)3 2S8 2S4 h 4v 4d
48 0.0000 -0.0000 0 0 -4 0 0 -0.0000 0.0000 0 16 4 0

can be reduced to

A1g A2g B1g B2g E1g E2g E3g A1u A2u B1u B2u E1u E2u E3u
2 2 2 2 2 4 2 0 2 0 2 4 2 4

Substraction of translational and rotational contributions results in

A1g A2g B1g B2g E1g E2g E3g A1u A2u B1u B2u E1u E2u E3u
2 1 2 2 1 4 2 0 1 0 2 3 2 4


Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1g A2g B1g B2g E1g E2g E3g A1u A2u B1u B2u E1u E2u E3u
Infrared - - - - - - - - + - - + - -
Raman + - - - + + - - - - - - - -

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 42 42 2
quadratic 1764 903 47
cubic 74088 13244 458
quartic 3111696 148995 5003
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 A1g A2g B1g B2g E1g E2g E3g A1u A2u B1u B2u E1u E2u E3u
linear 2 1 2 2 1 4 2 0 1 0 2 3 2 4
quadratic 47 23 35 33 48 68 46 24 25 22 24 64 47 62
cubic 458 434 449 447 760 895 762 370 394 361 407 888 767 890
quartic 5003 4704 4875 4829 8952 9699 8950 4467 4491 4455 4501 9640 8956 9638

Number of independant internal coordinates 2

Literature



Character tables for chemically important point groups Character table for point group D8h Constructor University Bremen
Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement