Canonical description of electron states in random alloys

The canonical method of Andersen and Jepsen for determining the band structure of metals, which is based on the linear muffin-tin orbital method and which leads to an extremely simple tight-binding method, is generalized to the case of random alloys. The factorization of the structural- and potential-dependent parts allows one to perform the configurational averaging within the single-site approximation. The theory is illustrated for the ${\mathrm{Ag}}_{\mathrm{x}}$ ${\mathrm{Pd}}_{100\mathrm{-}\mathrm{x}}$ alloy series.