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We present results of the atomic and electronic structure of icosahedral Al₁₂X (X=Si, Ge, and Sn) clusters using the ab initio molecular-dynamics method within the local density functional theory. Substitutional doping of a Al₁₃ cluster by a tetravalent atom leads to a substantial gain in energy in all the cases studied. Tin is found to have a lower energy at a vertex site in contrast to the central site for Si and Ge, leading to surface segregation of Sn in these clusters. Also in the case of a Al₁₃Si cluster, Si occupies the central site of a capped icosahedral structure. These results when interpreted in terms of the interaction of closed shell clusters with atoms leads to a relatively strong interaction of Al₁₂Si with Al as compared to the weak interaction of rare gas atoms with other elements.
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Kumar et al. (1998) studied this question.
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