Melting temperature concentrated and moderately dilute mixtures

2 Melting temperature concentrated and moderately dilute mixtures 

Equation (3.2) is very similar to the classical expression for the depression of the melting temperature of low molecular weight binary systems, i.e. the freezing point depression equation. The only difference results from the expression for the activity of the crystallizing polymer component in the molten phase. Consequently, Eq. (3.1) can also be derived by the application of phase equilibrium requirements.(3) 

From the Flory-Huggins mixing expression, the chemical potential fii of the diluent in the melt, relative to that of the pure component /r j, can then be written as (3) 

The chemical potential of a polymer molecule, taking the pure liquid polymer as the reference state, can be expressed as 

In Eqs. (3.3) and (3.4), x is the number of segments per molecule. The chemical potential per mole of polymer structural units is obtained by dividing Eq. (3.4) by xTi/ Vu. the number of vmits per molecule. Thus, 

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