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The free energy change of a system upon nucleation of a spherical solid particle of radius r from a liquid may be expressed as: G
The free energy change of a system upon nucleation of a spherical solid particle of radius r from a liquid may be expressed as:
Gpi rGsolidpi rgamma
where Gsolid is the free energy per unit volume of the solid phase relative to the liquid phase, and gamma is the interfacial energy between the solid and liquid phases and is always positive Assume that we are in a temperature regime for which Gsolid
a Find what is called the critical radius rc at which dGdr
b Explain why the critical radius is a good name for this quantity, in terms of the stability, instability, or metastability of particles with r rc and particles with r
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