Green's-Function Method for Energy Bands in Disordered Alloys—Application to Alpha Brass

A model, based on Ziman's theory of liquid metals, is proposed for calculating the band structure of disordered alloys. The configurational average of the wave function is used to derive Bloch-type conditions, which enables a generalization of the Green's-function method to the alloy problem. The scheme is used to calculate the energy bands for $\alpha$-brass. It is found to give a fairly satisfactory picture of both the conduction and $d$ bands.