Character table for point group Cv

Cv E 2C ... v
linear functions,
rotations
quadratic
functions
cubic
functions
A1=+ +1 +1 ... +1 z x2+y2, z2 z3, z(x2+y2)
A2=- +1 +1 ... -1 Rz - -
E1= +2 +2cos() ... 0 (x, y) (Rx, Ry) (xz, yz) (xz2, yz2) [x(x2+y2), y(x2+y2)]
E2= +2 +2cos(2) ... 0 - (x2-y2, xy) [xyz, z(x2-y2)]
E3= +2 +2cos(3) ... 0 - - [y(3x2-y2), x(x2-3y2)]
... ... ... ... ... - - -
En +2 +2cos(n) ... 0 - - -




Additional information

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


Force field analysis for point group Cv

Force field analysis for linear molecules

Number of atoms:



Multipoles

dipole (p) ++
quadrupole (d) +++
octopole (f) ++++
hexadecapole (g) +++++
32-pole (h) ++++++H
64-pole (i) ++++++H+I
128-pole (j) ++++++H+I+J
256-pole (k) ++++++H+I+J+K
512-pole (l) ++++++H+I+J+K+L

First nonvanishing multipole: dipole

Literature



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