When liquid antimony is subdivided under suitable conditions into small droplets it can be undercooled by $210$ K before nucleation of the solid phase occurs. The melting temperature of antimony is $1166$ K$,$ the latent heat of fusion is $163$ J$/$g$,$ the density is $6\mathrm{.}7$ g$/$cm$3$ and the molar volume is $112$ cm$3/$mol$.$ Determine the solid$-$liquid interface energy.