We have developed a new approach to the calculations of ground state p
roperties of large crystalline systems with arbitrary atomic configura
tions based on a Green's function technique in conjunction with a self
-consistent effective medium for the underlying randomly occupied latt
ice. The locally self-consistent multiple scattering method and the co
herent potential approximation are two simple limits of our general fo
rmulation. The efficiency and the excellent convergence properties of
the method are demonstrated in calculations for two alloy systems, Cu-
Zn and Rh-Pd.