For pt.II see J. Phys. B., vol.9, p.881 (1976). A general semi-empirical method presented earlier by the present author to calculate Auger-electron energies within an intermediate-coupling framework has been refined to incorporate a solid-state correction term. This term is derived from an atomic Hartree-Fock screening model outlined in the preceding paper. Experimental and theoretical results for a range of vapour phase and solid phase elemental systems embracing a wide diversity of Auger transition series are presented to illustrate the usefulness of the approach. For most systems, agreement is within 1-2 eV, with the maximum discrepancies being near 5 eV. A table of solid-state correction values for elements 10-102 is presented to modify the K-LL energies reported previously.