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On the nature of bonding in binary Be2O2 and Si2O2 clusters: Rhombic four-center four-electron p and s bonds
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On the nature of chemical bonding in the

    In a recent communication, an all-metal aromatic sandwich [Sb3Au3Sb3] 3 was synthesized and characterized. We report herein a density-functional theory (DFT) study on the chemical bonding of this unique cluster, which makes use of a number of computational tools, including the canonical molecular orbital (CMO), adaptive natural density partitioning (AdNDP), Wiberg bond index, and orbital composition analyses. The 24-electron, triangular prismatic sandwich is intrinsically electron-deficient, being held together via six Sb–Sb, three Au–Au, and six Sb–Au links. A standard, qualitative bonding analysis suggests that all CMOs are primarily located on the three Sb3/Au3/Sb3 layers, three Au 6s based CMOs are fully occupied, and the three extra charges are equally shared by the two cyclo-Sb3 ligands. This bonding picture is referred to as the zeroth order model, in which the cluster can be formally formulated as [Sb3 1.5+Au3 3Sb3 1.5+] 3 or [Sb3 0 Au3 3Sb3 0 ]. However, the system is far more complex and covalent than the above picture. Seventeen CMOs out of 33 in total involve remarkable Sb - Au electron donation and Sb ’ Au back-donation, which are characteristic of covalent bonding and effectively redistribute electrons from the Sb3 and Au3 layers to the interlayer edges. This effect collectively leads to three Sb–Au–Sb three-center two-electron (3c–2e) s bonds as revealed in the AdNDP analyses, despite the fact that not a single such bond can be identified from the CMOs. Orbital composition analyses for the 17 CMOs allow a quantitative understanding of how electron donation and back-donation redistribute the charges within the system from the formal Sb3 0 /Au3 3 charge states in the zeroth order model to the effective Sb3 1.5/Au3 0 charge states, the latter being revealed from the natural bond orbital analysis.

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