Abstract
The Density Functional Formalism is used to calculate the minimum number of atoms (N c ) a multiply charged jellium-like spherical cluster must contain to be stable against coulomb explosion into two smaller fragments. In the case of alkaline clusters, which are systems for which the jellium model can be applied, we findN c equal to 31 and 23 for the explosion of Na 2+ N and Cs 2+ N respectively, in good agreement with the experimental value ofN c = 18 for Cs 2+ N . Calculated critical numbers for triply and tetracharged Cs clusters are 108 and 323 respectively. In addition the model predicts that the most favourable fragmentation channel is the ejection of a singly charged monomer.
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