Character table for point group C2

C2 E C2
linear functions,
rotations
quadratic
functions
cubic
functions
A +1 +1 z, Rz x2, y2, z2, xy z3, xyz, y2z, x2z
B +1 -1 x, y, Rx, Ry yz, xz xz2, yz2, x2y, xy2, x3, y3


Additional information

Number of symmetry elements h = 2
Number of irreducible representations n = 2
Abelian group yes
Optical Isomerism (Chirality) yes


Reduction formula for point group C2

Type of representation

general 3N vib

E C2




Examples

Hydrogenperoxide



Multipoles

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

First nonvanishing multipole: dipole

Literature



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