For the solidification of pure gold, calculate the critical radius (r*) and the activation freeenergy (\Delta G?G*). Assume homogeneous nucleation conditions. The values of the latent heat of fusion and the surface free energy are -1.16x109 J/m³ and 0.132 J/m², respectively. The degree of supercooling is 230 K and the melting point of gold is 1064⁰C.