Fractional melting density function

Figure 4.7 Assumed probability density function for the degree of melting F (top). Resulting probability density functions for the reduced solid concentration of element i upon fractional melting (middle) and batch melting (bottom) for different solid-liquid partition coefficients D,.

In the case of crystallization of a solid from liquid or melt, we need order parameters that uniquely identify different structures that is, ideally, each minimum should be characterized by a set of values of the order parameters and should correspond to a unique structure. In the Ramakrishnan-Yusouff density functional theory of freezing [29], the order parameters are the density components evaluated at the reciprocal lattice vectors of the solid, along with the fractional density change. It is relatively easy to make either equilibrium or a dynamic calculation of freezing to... 

Poly-s-caprolactone (—O—(CH2)4—CO—) , PCL, is a crystalline polymer of density 1.1 g/coT. When a sample of molecular weight M — 50,000 g/mol is blended with amorphous poly(vinyl phenol), PVPH, of molecular weight 1500 g/mol and density 1.2 g/cm, homogeneous mixtures are formed. The table below gives the values determined for the melting point of PCL as a function of the volume fraction poly(vinyl phenol), v. ... 

Fig. 39. Conductivity as a function of the weight fraction of supramolecular hairy rods PANI(DBSA)o.5/Zn(DBS)2 of molar ratio l.O/l.O mol/mol in melt-blended low-density polyethylene blends. Adapted from T. KSrna, J. Laakso, T. Niemi, H. Ruohonen, E. Savolainen, H. Lindstrom, E. Virta-nen, O. Ikkala, and A. Andreatta, U.S. Patent 5,340,499,1994.

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