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Theoretical methods exist for calculating the electronic properties of a tight-binding model alloy in which the transfer integrals are allowed to vary randomly. The calculated behavior of certain properties are examined in the extreme limit when one atomic species is isolated by setting two of the transfer integrals equal to zero. Qualitatively reasonable behavior is found for the density of states but not for the electrical conductivity.
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J. A. Blackman (1975) studied this question.
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