Difference between revisions of "Phase separation"

From Soft-Matter
Jump to: navigation, search
Line 2: Line 2:
  
 
[[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 when thinking about the [[regular solution]] model of liquids.
+
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

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,

            <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