Problems in the expression of the Thomson-Freundlich equation are discussed, and it is shown that solubility or the vapour pressure in equilibrium with the spherical particle must be expressed as follows, ln (X/X
0)=(3Vε
i/γRT)andln(P/P
0)=(3Vε
s/γRT)Where, X is the solubility in the solution expressed in mole fraction of the material, P vapour pressure, γ particle radius, V molar volume, ε
i interface free nergy between solution and the spherical particle, ε, surface free energy of theparticle. The suffix zero attached to X or P means the equilibrium value of the solubility or vapour pressure for the system, γ=∞. We can use molar surface or interface free energy instead of (3Vε
s/γ) or (3Vε
i/γ) for a crystalline particle having its own crystal habit. The value of the right hand side of the equation is 1.5 times larger than that from Thomson-Freundlich equation. Using these results, grain growth phenomena expected to occur in the suspension of spherical fine particles were studied theoretically.
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