a molecular orbital diagram shows the relative energies and identities of each molecular orbital in a molecule
there are the same number of molecular orbitals as there are atomic orbitals
each orbital in the diagram is rigorously labeled with labels including the subscripts u and g
sigma symbol indicates that the orbital is symmetric with respect to the internuclear axis
pi sympbol indicates that there is one node along that axis
the subscript g is given to orbitals that are even, or symmetric, with respect to an inversion center
the subscript u is given to orbitals that are uneven, or antisymetric, with respect to an inversion center
a complete molecular orbital diagram will include the electrons for each atom and for the molecule
electrons in molecular orbitals are filled in the same way an atomic orbital diagram would be filled: electrons occupy lower energy orbitals before higher energy orbitals and electrons occupy empty degenerate orbitals before pairing
a complete molecular orbital diagram would show whether the molecule is diamagnetic or paramagnetic and can be used to calculate the bond order of the molecule
bond order = (number of electrons in bonding orbitals - number of electrons in antibonding orbitals)/2
non-valence (core) electrons can be ignored because they do not contribute to the bond order