Character table for point group Ci

Ci E i
linear functions,
rotations
quadratic
functions
cubic
functions
Ag +1 +1 Rx, Ry, Rz x2, y2, z2, xy, xz, yz -
Au +1 -1 x, y, z - x3, y3, z3, x2y, x2z, y2x, y2z, z2x, z2y, xyz


Additional information

Number of symmetry elements h = 2
Number of irreducible representations n = 2
Abelian group yes
Optical Isomerism (Chirality) no
Polar no


Reduction formula for point group Ci

Type of representation

general 3N vib

E i




Examples

1,2-Dibromo-1,2-dichloroethane (staggered) Tartaric Acid (meso)



Multipoles

dipole (p) 3Au
quadrupole (d) 5Ag
octopole (f) 7Au
hexadecapole (g) 9Ag
32-pole (h) 11Au
64-pole (i) 13Ag
128-pole (j) 15Au
256-pole(k) 17Ag
512-pole (l) 19Au

First nonvanishing multipole: quadrupole

Literature



Character tables for chemically important point groups Computational Laboratory for Analysis, Modeling and Visualization Constructor University Bremen

Last update November, 13th 2023 by A. Gelessus, Impressum, Datenschutzerklärung/DataPrivacyStatement