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A simple nearest neighbour orthogonal tight binding model is shown to explain qualitatively the observed trends in structural stability within the sp bonded elements. The relative stabilities were predicted by comparing the band energies directly, using the structural energy difference theorem to prepare the bond lengths of the different structure types appropriately. This allows the structural trends to be interpreted in terms of the topology of the local atomic environment through the behaviour of the first few moments of the densities of states.
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Cressoni et al. (1991) studied this question.
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