ABSTRACT:The structure and stabilities of Ca 2þ Ar n (n ¼ 1-24) clusters are investigated using analytical potential functions. The energy of the systems, in its ground state, is described using additive potentials with V(Ca 2þ -Ar) and V(Ar-Ar) representing the pair potential interactions, and many-body effects are described using the interaction between dipoles induced by the calcium ion. To find the geometry of the lowest energy isomers of Ca 2þ Ar n clusters, we use the so-called basin-hopping method of Wales et al. We show that in the equilibrium structures of Ca 2þ Ar n clusters, the Ca 2þ cation is always solvated by argon clusters. For n ¼ 2, we have found a strong competition between the symmetric linear shape (D 1 ) and the bent isomer (C 2v ). The relative importance of the three-body interactions due to the presence of the induced dipoles on the Ar atoms can be inferred from the magnitude of the known Ar 2 interaction, and lead to a more stabilized linear structure. The global minimum of Ca 2þ Ar 3 is planar (D 3h ), but a second three-dimensional isomer with a pyramidal C 3v symmetry exists. The absolute minimum of Ca 2þ Ar 4 is a regular tetrahedron, and that of Ca 2þ Ar 6 , is a regular octahedron. The particularly stable sizes with respect to their immediate neighbors were studied by calculating the second energy difference between size n and its immediate neighbors.