$\ln {\gamma }_i=\ln {\gamma }_i^c+\ln {\gamma }_i^R$	(A1)
Combinatorial	$\ln {\gamma }_i^c=1-V_i^{\prime }+\ln V_i^{\prime }-5 q_i\left(1-\frac{V_i}{F_i}+\ln \frac{V_i}{F_i}\right)$	(A2)
Residual ${\Gamma }_k^{\left(i\right)}$: residual activity coefficient of group k in a reference solution containing molecules of type i	$\ln {\gamma }_i^R={\displaystyle \sum }_k{v}_k^{\left(i\right)}\left[\ln {\Gamma }_K-\ln {\Gamma }_K^{\left(i\right)}\right]$	(A3)
${\Gamma }_k$: group residual activity coefficient	$\ln {\Gamma }_k=Q_k\left[1-\ln \left({\displaystyle \sum _m}\left({\Theta }_m{\Psi }_{mk}\right)\right)-{\displaystyle \sum _m}\frac{{\Theta }_m{\Psi }_{km}}{{{\displaystyle \sum }}_n{\Theta }_n{\Psi }_{nm}}\right]$	(A4)
Surface area/mole fraction ratio	$F_i=\frac{q_i}{{{\displaystyle \sum }}_j{q}_j{x}_j}$	(A5)
Volume/mole fraction ratio	$V_i=\frac{r_i}{{{\displaystyle \sum }}_j{r}_j{x}_j}$	(A6)
	$V_i^{\prime }=\frac{r_i^{3/4}}{{{\displaystyle \sum }}_j{r}_j^{3/4}{x}_j}$	(A7)
Volume of the pure component (i)	$r_i={\displaystyle \sum }_k{v}_k^{\left(i\right)}{R}_k$	(A8)
Surface area of the pure component (i)	$q_i={\displaystyle \sum }_k{v}_k^{\left(i\right)}{Q}_k$	(A9)
Area fraction of group (m)	${\Theta }_m=\frac{Q_m{X}_m}{{{\displaystyle \sum }}_n{Q}_n{X}_n}$	(A10)
Mole fraction of group m in the mixture	$X_m=\frac{{{\displaystyle \sum }}_j{v}_m^{\left(i\right)}{x}_j}{{{\displaystyle \sum }}_j{{\displaystyle \sum }}_n{v}_n^{\left(i\right)}{x}_j}$	(A11)
Group interaction parameter	${\Psi }_{mn}=exp\left(-\frac{a_{mn}+b_{mn}T+c_{mn}{T}^2}{T}\right)$	(A12)