Parametrization of the effective potential in sodium clusters
The effective radial electronic potentials for neutral sodium clusters determined by the local density approximation and the jellium model are parametrized by means of (symmetrized) Woods-Saxon and “Wine-Bottle” symmetrized Woods-Saxon potentials. The potential parameters are determined by various least-squares fitting procedures. Particular attention is paid to the dependence of the radius parameter R on the particle number N and it is realized that for relatively small values of N, complex expressions of R as a function of N, are more appropriate than the standard one R= r 0 N 1/3 It is also found that improved results in these cases are obtained with an expression, of the form R = r 0 N 1/3+b, which is still very simple.
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