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We have determined the ground-state energies of para-H$_2$ clusters at zerotemperature using the diffusion Monte Carlo method. The liquid or solidcharacter of each cluster is investigated by restricting the phase through theuse of proper importance sampling. Our results show inhomogeneouscrystallization of clusters, with alternating behavior between liquid and solidphases up to N=55. From there on, all clusters are solid. The ground-stateenergies in the range N=13--75 are established and the stable phase of eachcluster is determined. In spite of the small differences observed between theenergy of liquid and solid clusters, the corresponding density profiles aresignificantly different, feature that can help to solve ambiguities in thedetermination of the specific phase of H$_2$ clusters.

Solidification of small para-H2 clusters at zero temperature