In order to characterize the free
volume of a homologous series
all-aromatic poly(ether imide) (PEI) membranes, two positron annihilation
techniques were utilized: positron annihilation lifetime spectroscopy
(PALS) and Doppler broadening (DB) of annihilation radiation. First,
DB, which is a fast and convenient method, indicated differences in
free volume of all PEIs investigated, whereas PALS experiments gave
more quantitative information, with respect to the size and distribution
of the voids. DB results show that S, W pairs for this PEI-series tend to group according to their dianhydride
moiety, meaning that, in this series, dianhydrides govern the differences
in the S parameter, indicating more free volume with
increasing S value. The semicrystalline PEI samples
exhibit the lowest S parameter, while the amorphous
samples based on 3,3′,4,4′-oxydiphthalic dianhydride
(ODPA) all lie on the higher S side of the S–W plot. With the 1,4-bis(4-aminophenoxy)benzene
(P1)-based PEI (ODPA-P1) standing out with the highest S parameter. The same could be confirmed and quantified by PALS, where
ODPA-P1 is the only membrane in this series with its free volume described
by both smaller and larger free-volume elements. The larger voids
in ODPA-P1 can be characterized as having a radius (R) of 3.3 Å, which is 5 times larger than the lowest measured
free-volume content in this series observed for 3,3′,4,4′-biphenyltetracarboxylic
dianhydride (BPDA) and 1,3-bis(4-aminophenoxy)benzene (M1)-based PEI
(BPDA-M1), which has voids with a radius of R ≈
0.7 Å. When comparing results obtained by DB and PALS, a very
good correlation is observed between the S parameter
(determined by DB) and the free-volume content (quantified by PALS).