Kirkwood-Buff theory of solutions

Kirkwood-Buff integrals

$G_{\alpha \beta }=\int _{0}^{\infty }\left[{\mathrm {g} }_{\alpha \beta }^{(2)}({\mathbf {r} })-1\right]4\pi r^{2}~d{\mathbf {r} }$

where Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\mathrm {g} }_{\alpha \beta }({\mathbf {r} })} is the pair distribution function.

References

1. John G. Kirkwood and Frank P. Buff "The Statistical Mechanical Theory of Solutions. I", Journal of Chemical Physics 19 pp. 774-777 (1951)
2. A. Ben-Naim "Inversion of the Kirkwood–Buff theory of solutions: Application to the water–ethanol system", Journal of Chemical Physics 67 pp. 4884-4890 (1977)