Js. Kim et al., FILLER AND PERCOLATION BEHAVIOR OF IONIC AGGREGATES IN STYRENE SODIUMMETHACRYLATE IONOMERS, Macromolecules, 27(10), 1994, pp. 2789-2803
The dynamic mechanical properties of poly(styrene-co-sodium methacryla
te) ionomers were reexamined in detail and the data interpreted in ter
ms of filler and percolation concepts using the Eisenberg-Hird-Moore (
EHM) multiplet/cluster model of random ionomers. For this study, sampl
es were synthesized over a wider range of ion concentrations as well a
s more frequent intervals than in the previous studies. Deconvolutions
were performed on the loss tangent data. The glassy moduli of the ion
omers were found to be independent of the ion content. There were disc
ontinuities in the plots of the slopes of the storage moduli, peak hei
ghts, peak positions, and widths at the half-height of the loss tangen
t peaks as well as of the activation energies for the glass transition
s as a function of ion content. These discontinuities suggest that two
morphological changes are involved in the present ionomer system. The
first, at 4-6 mol % of ions, involves the formation of a dominant or
a continuous phase of the ion-rich or cluster regions and is interpret
ed as being associated with the percolation threshold (see below). The
second, at approximately 12-14 mol % of ions, possibly involves the d
isappearance of continuity of the unclustered ''phase''; between 4 and
12 mol %, two cocontinuous ''phases' are probably encountered. Differ
ential scanning calorimetry (DSC) thermograms for the ionomers between
8 and 14 mol % of ions show two glass transition temperatures (T(g)).
A linear relation is observed between these two T(g)s and the positio
ns of the E'' peaks at 0.3 Hz obtained from dynamic mechanical thermal
analysis (DMTA) measurements. In terms of filler concepts, the Guth e
quation is applicable in the range of low volume fractions of clusters
(<0.3), but a minor modification extends the applicability to 0.45. A
pplication of the Halpin-Tsai equation for regular systems to the pres
ent ionomer at low ion content suggests that the system consists of mo
re or less spherical (at opposed to linear or lamellar) clusters dispe
rsed in the matrix phase as filler particles. The mechanical propertie
s of ionomers were also interpreted in terms of percolation concepts.
At the percolation threshold, i.e., at approximately 5 mol % of ions,
the critical exponent and the critical volume fraction of clusters wer
e found to be 1.31 and 0.64, respectively. The value of the critical e
xponent is in the range of ''universal'' values for conductivity perco
lation, but the critical volume fraction is much higher than those for
most other systems. This is explained in terms of the difference betw
een the nonuniformity of properties of the clusters of the present sys
tem and the uniformity of properties in usual percolating species. Fin
ally, a novel approach is used to estimate the size of a sodium carbox
ylate ion pair, which is found to be 45 X 10(-3) nm3.