Metallic clusters Nilsson

Recently it has been shown [21] that the spectrum of this g-deformed, 3-dimensional harmonic oscillator (Q30) reproduces very well that of the modified harmonic oscillator introduced by Nilsson [12, 15] without the spin-orbit coupling term. Since the Nilsson model without spin-orbit coupling is essentially the Nilsson-Clemenger model used for the description of metal clusters [11], it is worth examining whether the Q30 model can be used to reproduce the magic numbers and some other properties of simple metal clusters. 

In particular, a modified Nilsson Hamiltonian appropriate for metal clusters [35, 36] is given by... 

Dimerization of aryl- and vinylcopper compounds is selective and hence synthetically useful (Reich, 1923 Gilman and Kirby, 1929 Hashimoto and Nakano, 1966 Nilsson and Wennerstrom, 1969 Seitz and Madl, 1972). A non-free radical mechanism has been advanced for the reaction of penta-fluorophenylcopper and o-trifluoromethylphenylcopper tetramers (Cairncross et al., 1971) and m-trifluoromethylphenylcopper octamer (Cairncross and Sheppard, 1971). These reactions proceed on the metal cluster, and the Cu(I)-Cu(0) cluster compound is, in fact, isolable. 

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