  A first principle prediction of the binary nanoparticle phase diagram
assembled by solvent evaporation has eluded theoretical approaches. In this
paper, we show that a binary system interacting through Lennard-Jones (LJ)
potential contains all experimental phases in which nanoparticles are
effectively described as quasi hard spheres. We report a phase diagram
consisting of 53 equilibrium phases, whose stability is quite insensitive to
the microscopic details of the potentials, thus giving rise to some type of
universality. Furthermore, we show that binary lattices may be understood as
consisting of certain particle clusters, i.e. motifs, which provide a
generalization of the four conventional Frank-Kasper polyhedral units. Our
results show that meta-stable phases share the very same motifs as equilibrium
phases. We discuss the connection with packing models, phase diagrams with
repulsive potentials and the prediction of likely experimental superlattices.
