Problems in traditional derivation process of Thomson-Freundlich equation are discussed, and modified equations for spherical particle systems are given as follows,
RT ln (pr/p∞)=(3Vεs/r)
and
RT ln (Xr/X∞)=(3Vεi/r)
Where, p: vapour pressure, X: solubility expressed in mole fraction of the material in the solution, r: particle radius, V: molar volume, εs: surface free energy of the particle and εi: interface free energy between solution and the particle. The subscripts r and ∞ attached to p and X mean those values being in equilibrium with r=r and r=∞. The molar surface or interface free energy can be used instead of (3 Vεs/r) and (3 Vεi/r) for a crystalline particle having its own stable crystal habit.
