Electronic wave functions of homonuclear diatomic molecules

In Section 1.19 we classified the electronic wave functions of homonuclear diatomic molecules as g or u, according to whether they were even or odd with respect to inversion g and u refer to inversion of the electronic coordinates with respect to the molecule-fixed axes. This is to be distinguished from the inversion of electronic and nuclear coordinates with respect to space-fixed axes, which was discussed in this section. The electronic Hamiltonian for a diatomic molecule is... 

We have seen that the electronic wave functions of homonuclear diatomic molecules can be classified as g or m, according to their parity. Hence a homonuclear diatomic molecule has a zero permanent electric dipole moment, a not too astonishing result. The same holds true for any molecule with a center of symmetry. The electric dipole-moment operator for a molecule includes summation over both the electronic and nuclear charges ... 

The electronic wave functions of homonuclear diatomic molecules can be approximated as products of LCAOMOs. 

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See also in sourсe #XX -- [ ]

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