The purpose of this thesis is to generate a starting potential from Thomas-Fermi theory and verify that this leads to expedient convergence of the energy eigenvalues. The potential was generated for various elements, representative of the 3d and 4d elements, as well as the simple metals, for different lattice constants. They were inserted into a quadratic Korringa-Kohn-Rostoker band theory program. They lead to self-consistent results at a faster rate than the potentials given by Moruzzi, Janak, and Williams for lattice constants for which the lattice was not in equilibrium.