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We consider a system of particles interacting via a purely repulsive,soft-core potential recently introduced to model effective pair interactionsbetween dendrimers, which is expected to lead to the formation of crystals withmultiple occupancy of the lattice sites. The phase diagram is investigated bydensity-functional theory (DFT) without making any a priori assumption on thefunctional form of the density profile or on the type of crystal lattice. Asthe average density $\rho$ is increased, the system displays first a transitionfrom a fluid to a bcc phase, and subsequently to hcp and fcc phases. In theinhomogeneous region, the behavior is that found in previous investigations ofthis class of cluster-forming potentials. Specifically, the particles arrangeinto clusters strongly localized at the lattice sites, and the lattice constantdepends very weakly on $\rho$, leading to an occupancy number of the siteswhich is a nearly linear function of $\rho$. These results are compared tothose predicted by the more widespread approach, in which the DFT minimizationis carried out by representing the density profile by a given functional formdepending on few variational parameters. We find that for the model potentialstudied here, the latter approach recovers most of the predictions of theunconstrained minimization.

A density-functional theory investigation of cluster formation in an effective-potential model of dendrimers