Flory-Huggins free energy of mixing

Manipulation of combinatorial statistics leads to the Flory-Huggins free energy of mixing (per unit volume)... 

When the extrapolation q - 0 is carried out in (6.47), noting that D(0) = 1, we obtain an expression that is identical to (6.23) derived in Section 6.1.1.3 on the basis of the Flory-Huggins free energy of mixing. This shows that the assumptions embodied in (6.47) are essentially equivalent to those in the Flory-Huggins theory. Using the approximation for the Debye function given by (5.33), Equation (6.47) can be written as... 

The data shown in Figures 1 and 2 were fitted by a binodal curve calculated on the basis of the Flory-Huggins free energy of mixing, given below, with A regarded as an adjustable parameter ... 

Considering an (incompressible) polymer mixture with volume fraction (j)A = (j) of A-monomers and volume fraction (j)B = 1 - (j) of B monomers, the mean-field expression for the excess-free energy of mixing is given by the well-known Flory-Huggins expression " ... 

The symbol Xs stands for the interaction energy per solvent molecule divided by kT. Combining equations (5.7) and (5.8) gives the Flory-Huggins equation for the free energy of mixing of a polymer solution ... 

Micelle formation in solutions of an AB diblock in low-molecular-weight A homopolymer has been considered by Leibler et al. (1983), using Flory-Huggins theory to determine the free energy of mixing of micelles. This model is discussed in detail in Section 3.4.2. 

The state of miscibility of any mixture is governed by the Gibbs free energy of mixing, AG, which may be described by the lattice theory of Flory-Huggins (Flory, 1953), as follows ... 

The Flory-Huggins theory is generally applied to define the thermodynamic properties of a polymer solution (I). It gives an expression for experimentally obtainable quantities such as the partial molar free energy of mixing. 

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