Colloidal particles interacting via purely repulsive interactions self-assemble in 2d hexagonal Superlattices composed of clusters such as dimers, trimers tetramers and more....what happens in 3d systems using the same long range potentials?
When nanoparticles interact, there are attractive forces. Otherwise there would be no interaction. In addition, there are repulsive forces. They compete. The change in the Gibbs energy of a dispersed system has 2 minima. The first is upon contact of 2 particles, and the second is upon separation by a layer of molecules or ions adsorbed on the surface. During aging, the dispersed system is separated into a layer of precipitated nanoparticles and a solvent. In the deposited layer, nanoparticles after a long period of time can grow together and organize different crystal lattices.