Small molecules in glassy polymers are considered to occupy sites with
a distribution of free energies of dissolution. Then their diffusivit
y depends on concentration and temperature in the same way as it has b
een derived for hydrogen atoms in metallic glasses. For hydrogen it wa
s shown that the tracer diffusion coefficient is proportional to the a
ctivity coefficient of the solute atoms. The latter can be evaluated f
rom measured data of sorption of the small molecules in the polymer. K
nowing this quantity, the thermodynamic factor can be calculated and t
he concentration dependence of the mutual diffusion coefficient is obt
ained in excellent agreement with published experimental results. New
experimental results are presented for the diffusion coefficient of CO
2 in Kapton and four polycarbonates (BPA-PC, BPZ-PC, TMBPA-PC, and TMC
-PC) in the low CO2 pressure range of a few mbar up to 1 bar. The resu
lts are in agreement with the model developed for hydrogen. The refere
nce diffusion coefficient, which is a fitting parameter of the model t
hat is independent of the distribution of free energies is smallest fo
r the polycarbonate BPZ-PC having a high gamma-relaxation temperature.
This correlation between the diffusion coefficient and the dynamics o
f the polymer can be found for other substituted polycarbonates as wel
l. (C) 1997 John Wiley & Sons, Inc.