I need the answer to all 4 bullet pointsThank you

A simple cubic crystal of lattice parmnetcr (1 consists of particles bound by van der \\Vaals forces. The pair potential for the interaction between two particles is given by the Lennard-J ones potential 46 [(3')]? (96] where r IS the distance between particles. and f and a are constants. @ Sketch the layout of atoms in the crystal. drawing lines between one atom and all of its nearest neighbours, and state the number of nearest neighbours. (\"3 Give an expression for the lattice potential energy of this crystal, per particle. in terms of a, e, and (7.. including only nearest neighbour interactions. PSketch the lattice potential energy as a function of a, noting the minimum energy in terms of e, and estimate the molar latent heat of vapourisation of this crystal. % This solid expands when heated. \"'ith the aid of a further sketch, show what aspect of the interatornic potential shows this must be true