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Ab initio perturbed ion plus polarization calculations are reported fordoubly-charged nonstoichiometric (MgO)nMg2+ (n=1-29) cluster ions. We considera large number of isomers with full relaxations of the geometries, and add thecorrelation correction to the Hartree-Fock energies for all cluster sizes. Thepolarization contribution is included at a semiempirical level also for allcluster sizes. Comparison is made with theoretical results for neutral (MgO)nclusters and singly-charged alkali-halide cluster ions. Our method is alsocompared to phenomenological pair potential models in order to asses theirreliability for calculations on small ionic systems. The largecoordination-dependent polarizabilities of oxide anions favor the formation ofsurface sites, and thus bulklike structures begin to dominate only after n=24.The relative stabilities of the cluster ions against evaporation of a MgOmolecule show variations that are in excellent agreement with the experimentalabundance spectra.Comment: Final version accepted in Journal of Chemical Physics; 8 pages plus 8  figures (6 GIFs and 2 PSs). The main difference with respect to the original  submission is the inclusion of coordination-dependent polarizabilities for  oxide anions. That results in substantial changes in the result

Structures and stabilities of doubly charged (MgO)nMg2+ (n=1–29) cluster ions