# Difference between revisions of "Phase separation"

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[[Image:Phasesep_fig1.png |thumb| 400px | left| Figure 1 (from Haasen)]] [[Image:Phasesep_fig2.png |thumb| 400px | right| Figure 2 (from Haasen)]] | [[Image:Phasesep_fig1.png |thumb| 400px | left| Figure 1 (from Haasen)]] [[Image:Phasesep_fig2.png |thumb| 400px | right| Figure 2 (from Haasen)]] | ||

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

+ | |||

+ | <math>\frac{G_{mix}}{kT}=Nnv _{A}\ln v _{A}+x _{B}\ln v _{B}+\epsilon v _{A} v _{B}</math> | ||

+ | |||

+ | where <math>\epsilon = zN[V_{AB} - {1 \over 2}(V_{BB}+V_{BB})]</math> | ||

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

## Revision as of 21:04, 9 December 2011

Entry by Emily Redston, AP 225, Fall 2011

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

<math>\frac{G_{mix}}{kT}=Nnv _{A}\ln v _{A}+x _{B}\ln v _{B}+\epsilon v _{A} v _{B}</math>

where <math>\epsilon = zN[V_{AB} - {1 \over 2}(V_{BB}+V_{BB})]</math>

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

See also:

Phase separation in Phases and Phase Diagrams from Lectures for AP225.

## References

The Role of Polymer Polydispersity in Phase Separation and Gelation in Colloid−Polymer Mixtures