Character table for point group Cs

Cs E h
linear functions,
rotations
quadratic
functions
cubic
functions
A' +1 +1 x, y, Rz x2, y2, z2, xy xz2, yz2, x2y, xy2, x3, y3
A'' +1 -1 z, Rx, Ry yz, xz x3, xyz, y2z, x2z


Additional information

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


Reduction formula for point group Cs

Type of representation

general 3N vib

E h



Examples

Hypochloric Acid Formylfluoride Sulfur S7
Acrolein Cyclopentane (envelope) Quinoline


Multipoles

dipole (p) 2A'+A''
quadrupole (d) 3A'+2A''
octopole (f) 4A'+3A''
hexadecapole (g) 5A'+4A''
32-pole (h) 6A'+5A''
64-pole (i) 7A'+6A''
128-pole (j) 8A'+7A''
256-pole(k) 9A'+8A''
512-pole (l) 10A'+9A''

First nonvanishing multipole: dipole

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