For the Lennard-Jones system, V\ns\BR\BR′=v(\BR−\BR′)<0 is due to the attractive tail of the potential, hence J\ns\BR\BR′ is positive, which prefers alignment of the spins \(\sigma\ns_\B...For the Lennard-Jones system, V\ns\BR\BR′=v(\BR−\BR′)<0 is due to the attractive tail of the potential, hence J\ns\BR\BR′ is positive, which prefers alignment of the spins σ\ns\BR and σ\ns\BR′. and E\ns0=18Nz(\ve\ns\ssrAA+\ve\ns\ssrBB+2\ve\ns\ssrAB), where N is the total number of lattice sites and z=8 is the lattice coordination number, which is the number of nearest neighbors of any given site.