(1)	$\begin{array}{l}\displaystyle \ln {\mu}_{12} = x_1 \cdot \ln {\mu}_1 + x_2 \cdot \ln {\mu}_2\end{array}$

(2)	$\begin{array}{l}\displaystyle \ln {\mu}_{12} = \frac{x_1}{x_1 + \alpha \, x_2} \cdot \ln {\mu}_1 + \frac{\alpha \, x_2}{x_1 + \alpha \,x_2} \cdot \ln {\mu}_2\end{array}$

(3)	$\begin{array}{l}\displaystyle \ln {\mu}_{12} = x_1 \cdot \ln {\mu}_1 + x_2 \cdot \ln {\mu}_2 + \epsilon \, x_1 \, x_2\end{array}$

(4)	$\begin{array}{l}\displaystyle \ln {\mu}_{12} = x_1 \cdot \ln {\mu}_1 + x_2 \cdot \ln {\mu}_2 + \epsilon \, x_1 \, _2 + K_1 \, x_1 \, x_2 \, (x_1 - x_2) + K_2 \, x_1 \, x_2 \, (x_1 - x_2)^2\end{array}$

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