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 .