The electronic band-gap properties of high-density, highly tetrahedrally bonded, hydrogenated amorphous carbon are related to the size and overlap distribution of small {π}-bonded clusters embedded within a strained rigid sp³ matrix of atomic-scale models generated by semiempirical density-functional molecular dynamics. Compared to the hydrogen-free analogues of similar density and chemical composition, the residual strain in the network is reduced. As a consequence the overlap of p orbitals between undercoordinated sites is enforced in favor of forming strong {π} bonds, which is consistent with a further band-gap opening relative to the hydrogen-free structures.
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Frauenheim et al. (1994) studied this question.
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