Interface tension in a binary system with curved boundary (Q735785)

The article considers the interface tension in an isothermal binary system consisting of a dispersed \(\alpha\) phase -- a spherical particle -- and a dispersing medium \(\beta\). The equation of interface tension is derived from the thermodynamic equilibrium conditions using expressions of the molar Gibbs potentials in the bulk \(\alpha\)-phases and the interface layer. In the model, the partial derivatives of the bulk phases are taken at constant pressure. At the interface layer, the derivatives are found for constant pressure and constant interface tension. In the case of a one-component systems, the well-known expressions for the size dependence of surface tension, previously obtained by other researchers (in particular, the Tolman formula), follow from the equation derived.