Annular patches leading to the formation of spherical shell and icosahedral structures

In this work, we have proposed a simple potential, leading to the formation of mono-dispersed spherically closed shell, with tuned sizes. We found nucleation rate and kinetics as the key factor deciding theyield of closed shells. High yield of perfectly closed shells have been observed for the shells having smaller size. While yield reduces with increasing the size. The behaviour shown is similar to the biological systems such as viruses. Constituents particles are found unable to get trapped inside the shell, at low volume fraction regime. Structural properties have been found to be independent of the shape and size of the hard-core, except in terms of kinetics. Icosahedral-symmetry have found to be as not the only minimum potential-energy configuration. We found structural rearrangement playing an important role behind closing the shell. Which is also the deciding factor behind the size of the shell for a particular set of potential parameters.