Abstract
For pt.II, see abstr. A3682 of 1974. The theory developed in two previous papers, for studying the Weaire model in terms of returning walks, is used here to study the density of electronic states at the band edges. The relationship between topological disorder and the shape of the band edges is considered and the shape of the inner band edge is shown to depend on oscillating terms in the asymptotic expansion of the number of returning walks. The work suggests the possibility of a band gap in a fourfold coordinated structure with mod V1/V2 mod >1/2.
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