2003
DOI: 10.1021/jp020772c
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A Frozen Tube Model of Melting Point Depression of Solvents in Entangled Polymer Systems

Abstract: The entanglement model, which was proposed previously on the melting point depression of a crystalline low molecular weight diluent in an un-cross-linked amorphous polymer, was modified so as to be consistent with a frozen tube model. In the latter model, the crystallization of the diluent occurs within the entangled polymer chains, which act as a confining frozen and hard tube involving an unfrozen solvent within. The new model accounts reasonably for the experimental observations and provides estimates of th… Show more

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Cited by 6 publications
(5 citation statements)
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“…To verify our postulation, we first consider an ultimate case in cross-linked gels . The crystallization ability of crystallizable solvent in a gel is usually frustrated . Also, the crystallization is dramatically depressed if the crystalline polymer is cross-linked .…”
Section: Resultsmentioning
confidence: 96%
See 1 more Smart Citation
“…To verify our postulation, we first consider an ultimate case in cross-linked gels . The crystallization ability of crystallizable solvent in a gel is usually frustrated . Also, the crystallization is dramatically depressed if the crystalline polymer is cross-linked .…”
Section: Resultsmentioning
confidence: 96%
“…33 The crystallization ability of crystallizable solvent in a gel is usually frustrated. 54 Also, the crystallization is dramatically depressed if the crystalline polymer is cross-linked. 55 If the cross-linking density is very high in the network, the crystallization may be totally prohibited.…”
Section: Macromoleculesmentioning
confidence: 99%
“…Therefore, the GibbsÀThomson equation needs at least one term to include the depression of the melting point due to mixing thermodynamics. One approach 26 shows the resulting potential difficulties and implies that the observed melting point depression could be interpreted to be greater than what one expects without necessarily invoking size effects.…”
Section: Methodsmentioning
confidence: 99%
“…mckenna@ttu.edu) developed by some researchers to deduce the size and size distribution of nanoscale heterogeneities in polymer networks by using melting (or freezing) point depression of the solvents. [9][10][11][12][13][14][15] In this method, the Gibbs-Thomson (GT) equation 16 is used in conjunction with the Flory-Huggins (FH) model 17,18 to obtain the size and size distribution of solvent crystals, which are comparable with the nanoscale mesh size and distribution in polymer networks. Nevertheless, previous results on the melting (or freezing) behavior of swelling agents confined in polymer networks are complicated and contradictory, and the mechanisms of melting (or freezing) point depression are not well understood.…”
Section: Introductionmentioning
confidence: 99%