A model is presented to predict the depression of the glass transition temperature of a polymer in the presence of a liquid, gas, or supercritical fluid as a function of pressure. It is developed using lattice fluid theory and the Gibbs-Di Marzio criterion, which states that the entropy is zero at the glass transition. Four fundamental types of Tg versus pressure behavior are identified and interpreted as a function of three factors: the solubility of the compressed fluid in the polymer, the flexibility of the polymer molecule, and the critical temperature of the pure fluid. A new phenomenon is predicted where a liquid to glass transition occurs with increasing temperature, which we define as retrograde vitrification. This retrograde behavior is a consequence of the complex effects of temperature and pressure on sorption. For the limited data which are available for the polystyrene-COa and poly(methyl methacrylatel-COa systems, the predictions of the model are in good agreement with experiment.
Inverse supercritical fluid chromatography (ISFC) is used to
measure partition coefficients of
five polar and nonpolar organic solids between supercritical
CO2 and cross-linked poly(dimethylsiloxane) (PDMS) swollen with CO2.
Polymer−solute interaction energies, which are
determined from the partition coefficients, correlate with the heats of
vaporization of the pure
solutes. These interaction energies can be determined at ambient
temperature for solutes that
are too nonvolatile to study by inverse gas chromatography. Binary
and ternary phase equilibria
are modeled with lattice fluid theory including a term to account for
the degree of polymer cross-linking. Experimental results indicate that solute adsorption on
the support phase, which can
be severe in packed columns, is negligible with the use of capillary
columns.
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