Table 1.

Kirkwood-Buff derived expressions for preferential binding parameters defined in different ensembles and using various concentration scales. The preferential binding parameter can be written as (∂z₃/∂z₂)_E, where z is the concentration scale used and E is the ensemble. All refer to an infinitely dilute biomolecule (2). The upper expressions involve just number densities and KB integrals. The lower expressions represent the relationship to Γ₂₃ in terms of thermodynamic properties of the solutions

z	Ensemble, E
	T, μ1,μ3	T, P, μ1	T, P, μ3
m	ρ3(G23 - G21) Γ23	$-1+{\rho }_3(G_{23}-G_{21}+G_{13}-G_{33}){\Gamma }_{23}-\frac{1}{a_{33}}$	$\frac{{\rho }_3}{{\rho }_1}+{\rho }_3(G_{23}-G_{21}+G_{11}-G_{13}){\Gamma }_{23}+\frac{{\varphi }_3}{a_{33}{\varphi }_1}$
ρ	${\rho }_3{G}_{23}{\varphi }_1{\Gamma }_{23}-{\rho }_3({{\stackrel{‒}{V}}_2}^{\mathrm{O}}-RT{\kappa }_T)$	$-1+{\rho }_3(G_{23}-G_{33}){\varphi }_1{\Gamma }_{23}-\frac{{\varphi }_1}{a_{33}}-{\rho }_3{{\stackrel{‒}{V}}_2}^{\mathrm{O}}$	${\rho }_3(G_{23}-G_{33}){\varphi }_1{\Gamma }_{23}+\frac{{\varphi }_3}{a_{33}}-{\rho }_3{{\stackrel{‒}{V}}_2}^{\mathrm{O}}$
x	$-x_3+x_1{\rho }_3(G_{23}-G_{21})x_1{\Gamma }_{23}-x_3$	$-1+x_1{\rho }_3(G_{23}-G_{21}+G_{13}-G_{33})x_1{\Gamma }_{23}-\frac{x_1}{a_{33}}-x_3$	$x_1{\rho }_3(G_{23}-G_{21}+G_{11}-G_{13})x_1{\Gamma }_{23}+\frac{x_1{\varphi }_3}{a_{33}{\varphi }_1}-x_3$