The Kirkwood-Buff (KB) integrals are calculated using thermodynamic properties such as isothermal compressibilities, partial molar volumes (or excess molar volumes), and partial vapor pressures (or activity coefficients, or excess molar Gibbs energies) with the help of the inversion of the KB theory about liquid mixtures. Matteoli and Lepoli have already proposed the useful formulae with which the KB integrals are easily estimated in binary liquid mixtures. However, the derivative process of these formulae is still obscure. In this paper, the Matteoli-Lepoli formulae are obtained from the modified KB equations by Ben-Nairn via Donkersloot equations, and consequently the detailed derivative process is clarified
