Charakterentabelle für Punktgruppe D8d

D8d E 2S16 2C8 2(S16)3 2C4 2(S16)5 2(C8)3 2(S16)7 C2 8C'2 8d
h = 32,
lineare Fkt.,
Rotation
quadratische
Fkt.
kubische Fkt.
A1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 - x2+y2, z2 -
A2 +1 +1 +1 +1 +1 +1 +1 +1 +1 -1 -1 Rz - -
B1 +1 -1 +1 -1 +1 -1 +1 -1 +1 +1 -1 - - -
B2 +1 -1 +1 -1 +1 -1 +1 -1 +1 -1 +1 z - z3, z(x2+y2)
E1 +2 +2cos(1/8) +(2)½ +2cos(3/8) 0 -2cos(3/8) -(2)½ -2cos(1/8) -2 0 0 (x, y) - (xz2, yz2) [x(x2+y2), y(x2+y2)]
E2 +2 +(2)½ 0 -(2)½ -2 -(2)½ 0 +(2)½ +2 0 0 - (x2-y2, xy) -
E3 +2 +2cos(3/8) -(2)½ -2cos(1/8) 0 +2cos(1/8) +(2)½ -2cos(3/8) -2 0 0 - - [x(x2-3y2), y(3x2-y2)]
E4 +2 0 -2 0 +2 0 -2 0 +2 0 0 - - -
E5 +2 -2cos(3/8) -(2)½ +2cos(1/8) 0 -2cos(1/8) +(2)½ +2cos(3/8) -2 0 0 - - -
E6 +2 -(2)½ 0 +(2)½ -2 +(2)½ 0 -(2)½ +2 0 0 - - [xyz, z(x2-y2)]
E7 +2 -2cos(1/8) +(2)½ -2cos(3/8) 0 +2cos(3/8) -(2)½ +2cos(1/8) -2 0 0 (Rx, Ry) (xz, yz) -


Anzahl der Symmetrielemente h = 32
Anzahl der irreduziblen Darstellungen n = 11
abelsche Gruppe ? nein
Untergruppen Cs , C2 , C4 , C8 , D2 , D4 , D8 , C2v , C4v , C8v , S16
chiral ? nein



Auf diesem Webangebot gilt die Datenschutzerklärung der TU Braunschweig mit Ausnahme der Abschnitte VI, VII und VIII.