Chemical potential shifts due to capillarity-unary systems

摘要

The effect of curvature on the chemical potential for two-phase unary systems at constant temperature, is usually given in the literature by the Gibbs-Thomson equation [1-6], μ~β(H)=μ~β(H = 0)+2νV~βH where H is the local mean curvature of a β particle in equilibrium, with an α matrix and V~β, the molar volume of the β phase. It can be shown based on the above equation, that the corresponding shift in chemical potential for the α phase is [1]: μ~α(H) = μ~α(H = 0) Thus the usual form of the Gibbs-Thomson equation that appears in the literature is not rigorous and Hence results in a violation of the condition for chemical equilibrium for a curved interface (α~μ(H)≠μ~β(H) assuming incompressibility and isotropic stresses in the case of the solid phases [9-7].