This represents the energy an electron in atomic orbital
fm
would have if all electrons were removed from the system.
This is approximated by adding on to the one-electron energy
of the atomic orbital in the fully ionized atom the
potential due to all the other nuclei in the system. The
one-electron energy is obtained parametrically, and is given
the symbol
Uμν.
Hμν
is derived from the fundamental
equation
Hμμ = Uμμ -ΣΒ ≠Α
ZB<μμ|BB>
by equating the core-electron integral
<μμ|BB> to the corresponding
two-electron integral, thus: