Assuming homogeneous nucleation, please draw in schematic the temperature dependence of the following quantities: (1) the number of stable nuclei; (2) the frequency of attachment of an atom to a nuclei; (3) nucleation rate. Use the melting temperature (Tm) as a reference. Effect of nucleation on solidification Volume free energy as a function of temperature for solid and liquid phases, showing the effect of solid liquid interface Gv G G AGV -AT- 2y/r T T The presence of solid/liquid interface effectively increases the Gibbs free energy of solid phases, which, in turn, decreases the melting temperature, thus leading to undercooling Driving force for solidification AGV = LVAT Tm GV AGV Tm 2y/r* 1=00 T