Solubility and Vapour Pressure Equilibrate with Fine Particle System

Yoshizo INOMATA

doi:10.1380/jsssj.6.60

Yoshizo INOMATA

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1985 Volume 6 Issue 1 Pages 60-63

DOI https://doi.org/10.1380/jsssj.6.60

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Published: March 01, 1985 Received: October 05, 1984 Available on J-STAGE: August 07, 2009 Accepted: October 05, 1984 Advance online publication: - Revised: -
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Date of correction: August 07, 2009 Reason for correction: - Correction: ABSTRACT Details: Wrong : 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/X₀)=(3Vε_i/γRT)andln(P/P₀)=(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.
Right : 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/X₀)=(3Vε_i/γRT)andln(P/P₀)=(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.

Abstract

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/X₀)=(3Vε_i/γRT)andln(P/P₀)=(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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