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 (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\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)