We extend a T -path expansion formula for arcs on an unpunctured surface to the case of arcs on a once-punctured polygon and use this formula to give a combinatorial proof that cluster monomials form the atomic basis of a cluster algebra of type D.

A polyoxometalate-silver ethynide composite cluster, [Ag42(CO3){C≡CC(CH3)3}27(α-A-SiW9Nb3O40)2](-) (1), demonstrates that we can select the binding site of a polyoxometalate to the silver alkynide cluster by tuning the surface charge of the precursor polyoxometalate. Multidimensional and multinuclear NMR spectra revealed that 1 maintains its precise atomic connectivity in the solution.

The polarizabilities of Si clusters with 9 to 28 atoms are calculated using a density functional cluster method. The atomic geometries are based on those carefully optimized by energy minimization. The polarizability shows fairly irregular variation with cluster size, but all calculated values are higher than the polarizability of a dielectric sphere with bulk dielectric constant and equivalent...

Experimental measurements of scaling with cluster and laser parameters of the energies of ions produced in the explosion of atomic clusters have been obtained, with a view to experimental optimization of the cluster explosion temperature. The noble-gas clusters were irradiated with high-intensity, 200-fs laser pulses. Ion energy scalings with cluster size ~ranging from 10 – 10 atoms per cluster...

The electronic and geometric structure of rare gas clusters doped with rare-gas atoms Rg=Xe, Kr or Ar is investigated with fluorescence excitation spectroscopy in the VUV spectral range. Several absorption bands are observed in the region of the first electronic excitations of the impurity atoms, which are related to the lowest spin-orbit split atomic P1 and P1 states. Due to influence of surro...