J. Bohlen et R. Kirchheim, Macroscopic volume changes versus changes of free volume as determined by positron annihilation spectroscopy for polycarbonate and polystyrene, MACROMOLEC, 34(12), 2001, pp. 4210-4215
Positronium lifetimes in bisphenol A-polycarbonate (PC) and atactic polysty
rene (PS) were measured as a function of temperature and hydrostatic pressu
re, and the results were compared with the macroscopic volume change of the
polymer samples. A simple relation via the thermal expansion coefficient a
nd the compressibility of the bulk material is applied and leads to direct
information on the fractional free volume of the polymer in the investigate
d state and furthermore to the mean volume size of intermolecular holes. By
plotting macroscopic volume changes vs changes of the hole volume as probe
d by the positronium, a linear relationship is obtained independent of whet
her the measurements were made above or below the glass transition temperat
ure. The slope of the corresponding straight lines is steeper for samples e
xposed to hydrostatic pressure which is interpreted as a shrinkage of holes
induced by pressure.