Symbols used to identify irreducible representations of Groups:
- singly degenerate state which is symmetric with respect to Rotation about the principal axis,
- singly Degenerate state which is antisymmetric with respect to Rotation about the principal axis,
- doubly Degenerate,
- triply Degenerate,
- (gerade, symmetric) the sign of the wavefunction does not change on Inversion
through the center of the atom,
- (ungerade, antisymmetric) the sign of the wavefunction changes on Inversion through
the center of the atom,
- (on or ) the sign of the wavefunction does not change upon Rotation about the
center of the atom,
- (on or ) the sign of the wavefunction changes upon Rotation about the center of the atom,
- ' = symmetric with respect to a horizontal symmetry plane ,
- '' = antisymmetric with respect to a horizontal symmetry plane .
See also Group Theory
© 1996-9 Eric W. Weisstein
1999-05-26