Theoretical study of cubic structures based on fullerene carbon clusters: C28C and (C28)2

Abstract
We study a hypothetical form of solid carbon C28C, with a unit cell which is composed of the C28 fullerene cluster and an additional single carbon atom arranged in the zinc-blende structure. Using ab initio calculations, we show that this form of solid carbon has lower energy than hyperdiamond, the recently proposed form composed of C28 units in the diamond structure. To understand the bonding character of these cluster-based solids, we analyze the electronic structure of C28C and of hyperdiamond and compare them to the electronic states of crystalline cubic diamond.
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