# Phase separation

Entry by Emily Redston, AP 225, Fall 2011

Figure 1 (from Haasen)
Figure 2 (from Haasen)

We typically talk about phase separation in terms of the regular solution model of liquids. The free energy of mixing can be written as,

            $\frac{G_{mix}}{kT}=Nnv _{A}\ln v _{A}+x _{B}\ln v _{B}+\epsilon v _{A} v _{B}$

            where $\epsilon = zN[V_{AB} - {1 \over 2}(V_{BB}+V_{BB})]$


V represents bond energies, z is the number of neighbors, N is the total number of atoms, and x is the mole fraction.