Question: (a) Rewrite the expression for the total free energy change for nucleation (Equation 10.1) for the case of a cubic nucleus of edge length a

(a) Rewrite the expression for the total free energy change for nucleation (Equation 10.1) for the case of a cubic nucleus of edge length a (instead of a sphere of radius r). Now differentiate this expression with respect to a (per Equation 10.2) and solve for both the critical cube edge length, a*, and also ?G*.

(b) Is ?G* greater for a cube or a sphere? Why?

AG = ar AG, + 4mry (10.1) %3! d(AG) dr = rAG,(3)

AG = ar AG, + 4mry (10.1) %3! d(AG) dr = rAG,(3) + 4y(2r) = 0 (10.2)

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