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Capillary column inverse gas chromatography
(CCIGC) is a powerful tool to determine solubility and diffusion for a
variety of polymer-solvent systems. The goal of this work was to determine
solubility and diffusion of a toluene-copolymer system as a function of
the polymer film thickness in a temperature range starting above the glass
transition temperature, Tg, of the copolymer down to below the Tg of the
copolymer. The purpose was to evaluate any influence of the polymer film
thickness on the partition coefficient, K, or the diffusion coefficients,
Dp. Four open tubular capillary columns were coated with the polystyrene-polyethylene
copolymer, applying film thicknesses of 0.1, 2.0, 3.4, and 6.0 ?m, and
measurements in the temperature range of 100 to –10°C were conducted.
Plotting the resulting partition coefficients as a function of reciprocal
temperature showed the following: The classical S-shape for film thicknesses
2.0, 3.4 and 6.0 ?m. An S-shape or a linear dependency through the Tg of
the polymer for a film thickness of 0.1?m, depending on the interpretation
of the experimental data.
Diffusion coefficients as a function of reciprocal temperature were
fitted using the free-volume model of Duda and Vrentas above Tg for film
thicknesses 2.0, 3.4 and 6.0 ?m. Below the Tg, the Dp values diverged from
the expected behavior. Again the 0.1?m showed either the same behavior as
the thicker film columns, or a linear dependency through the Tg, depending
on the interpretation of the data. In general, the Dp values were almost
two magnitudes lower than the Dp values of thicker film columns over the
whole temperature range.
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