Question: Consider a heterogeneous nucleation on a flat surface (as shown below, schematic (left), youngs equation relationship (right)). It nucleates into a cubic shape (side length
Consider a heterogeneous nucleation on a flat surface (as shown below, schematic (left), youngs equation relationship (right)). It nucleates into a cubic shape (side length of a), derive the formula of the critical side length (a*) of the cube and its corresponding Gibbs free energy (G*)?

My thoughts on this problem are: v = a^3 and A = a^2 and you plug it into Gheter = -(a^3)(Gv) + (a^2)( lc+ sc- sl) then set to 0 and solve? for critical a
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