  This work presents exchange potentials for specific orbitals calculated by
inverting Hartree-Fock wavefunctions. This was achieved by using a Depurated
Inversion Method. The basic idea of the method relies upon the substitution of
Hartree-Fock orbitals and eigenvalues into the Kohn-Sham equation. Through
inversion, the corresponding effective potentials were obtained. Further
treatment of the inverted potential should be carried on. The depuration is a
careful optimization which eliminates the poles and also ensures the
fullfilment of the appropriate boundary conditions. The procedure developed
here is not restricted to the ground state or to a nodeless orbital and is
applicable to all kinds of atoms. As an example, exchange potentials for noble
gases and term-dependent orbitals of the lower configuration of Nitrogen are
calculated. The method allows to reproduce the input energies and wavefunctions
with a remarkable degree of accuracy.
