The smallest triple-ring tubular gold clusters M@Au with M = Mo, W: stability, electronic properties and nonlinear optical response

The smallest triple ring tube-like gold clusters M 2 @Au 15 q with M = Mo, W and q = 1, 0, −1 are reported for the first time. Incorporation of an M 2 dimer results in a remarkable modification of both atomic and electronic structures of the gold host. While the bare Au 15 cluster exhibits a 3D cage shape, the doubly doped clusters M 2 @Au 15 in all charge states are found to prefer a tubular form composed of three five-membered Au rings in an anti-prism arrangement and stabilized by an M 2 unit placed inside the tube-like Au 15 gold framework. The equilibrium geometry of both M 2 @Au 15 and M 2 @Au 15 − is not much modified upon electron detachment from or attachment to their pure gold counterpart. The anion M 2 @Au 15 − with 28 itinerant electrons establishes an electron shell configuration of 1S 2 1P 6 1D 10 2S 2 1F 8 , in which the 1F shell splits into four different sub-levels. These stable clusters are thus not magic. Computed results on the first and second hyper-polarizability parameters of the doped clusters show a strong dependence on the charge. Overall, the neutral M 2 @Au 15 is found to exhibit a particularly strong nonlinear optical (NLO) response. These clusters can also be extended to 1D nanowires, providing helpful guidance for the design of novel gold-based nanowires with rich optoelectronic properties. Formation of (M 2 @Au 15 ) 2 dimers from M 2 @Au 15 monomers.