Mulliken symbols ↩

aliases: []
shorthands: {}
created: 2021-12-06 10:15:35
modified: 2022-01-12 17:33:21

• singly degenerate state which is symmetric with respect to rotation about the principal axis (see Point group)
• 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
• symmetric with respect to a horizontal symmetry plane
• antisymmetric with respect to a horizontal symmetry plane

For non-cubic (non-tetrahedral) point groups:

• or : for , the sign of the wavefunction does not change upon primary rotation/ (and possibly changes on secondary rotation/ around the center of the atom)
• or : for , the sign of the wavefunction does change upon primary rotation/ (and possibly changes on secondary rotation/ around the center of the atom)