Abstract
The structural and electronic properties of small sodium clusters (NaN, with 2<or=N<or=14) have been investigated. A Hubbard Hamiltonian with s orbitals only is used to model the electronic interactions. The eigenstates of the system are determined by a perturbation method and in the Hartree-Fock approximation. The energy minimisation is accomplished by means of the simulated annealing method to avoid local minima. The two electronic interaction parameters are taken from experiment and a simple scaling relation with distance is assumed. The resulting cluster radii, symmetries, magic numbers and ionisation potentials compare very well with experiment and with other, more elaborate, theories.
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