A Density Functional Study of the Structure and Energetics of Small   Hetero-Atomic Silicon-Carbon Nanoclusters
  The theoretical formalism of the local density approximation (LDA) to density functional theory (DFT) has been used to study the electronic and geometric structures of SimCn (1<=m, n<=4;n<=m) clusters. An all electron 6-311++G** basis set has been used and complete geometry optimizations of different possible structures for a particular cluster have been carried out. Clusters with equal numbers of silicon and carbon atoms are found to be particularly stable. Based on the simultaneous criteria of highest binding energy, high band gap, high ionization potential, and low electron affinity, we believe that Si3c3 is a candidate for particularly stable or a so-called "magic cluster". A complete comparison of the structures and the stabilities of the clusters, and their dependence on the cluster size and the stochiometry have been studied in detail. Binding energies, vibrational frequencies, HOMO-LUMO gaps, vertical ionization potentials and vertical electron affinities of the optimized clusters have been compared with other experimental and theoretical results available in the literature. 
Prachi Pradhan and Asok K. Ray