“…We examined the relative stability of the pentagonal geometry by performing a simple analysis based on the two-body LennardJones potential, V (r i,j ) = 4ǫ[(σ/r i,j ) 12 − (σ/r i,j ) 6 ]. We considered three structures encountered in the structure optimization of very thin wires, 16,27 namely equilateral triangle, pentagon and hexagon. The total potential, V T = i =j V i,j (r i,j ) for these structures are obtained by adding all the two-body potential energies, V i,j .…”