You want to use isotropic pair potentials to explain the existence of nanoparticle quasicrystals. If you have the possibility of such calculations, then we obtained quasicrystals of nanoparticles of cobalt and nickel ferrites in micellar solutions of surfactants and on solid graphite substrates. See articles
Article The structure and magnetic properties of cobalt ferrite nano...
Article Magnetic properties of nickel ferrite nanoparticles prepared...