Abstract
It is shown that the average matrix method developed earlier is identical with a self-consistent virtual crystal approximation at the Hartree-Fock level with random diagonal and off-diagonal elements. The method proposed for the calculation of approximate band structures of one-dimensional polymers and molecular crystals with compositional disorder was programmed in the CNDO/2 (complete neglect of differential overlap) approximation. Numerical results for different iso-electronic model systems show that the method yields reliable results if the different units differ not too much in the number of atoms and basis orbitals and that the general features of clustering effects are reproduced.
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