In this paper, we examine the melt rheology of well-defined, model polymers where the
long chain branching (LCB) is precisely known from the synthesis. All of these are made by the
hydrogenation of polybutadiene, but they vary greatly in the level and type of LCB present. We find that
all polymers that have LCB show a greater degree of shear thinning than linear chains. This applies
both to those with a single branch (stars) and also to those with multiple branches per chain (such as
combs). However, only molecules with multiple branches induce extensional thickening in a sample. Only
a small amount of these comblike molecules, on the order of 5%, are needed to show this effect. We also
show here how a new method of treating the shear data, the so-called Van Gurp−Palmen analysis, can
give a more easily interpreted form of the results that can reveal the length and amount of branches in
a sample. The insights generated from this work show the importance of access to well-defined polymers
with several kinds of branching architecture for the development of a deeper understanding of polymer
rheology.
The dependence of Flory-Huggins interaction parameter x on temperature, composition, and chain length was investigated for binary blends of amorphous model polyolefins, materials which are structurally analogous to copolymers of ethylene and butene-1. The components were prepared by saturating the double bonds of nearly monodisperse polybutadienes (78 %, 88 %, and 97 % vinyl content) with H2 and D2, the latter to provide contrast for small-angle neutron scattering (SANS) experiments. Values of x were extracted from SANS data in the single-phase region for two series of blends, H97/D88 and H88/D78, using the randomphase approximation and the Flory-Huggins expression for free energy of mixing. These values were found to be insensitive to chain length (one test only) and to the component volume fractions for = 0.25, 0.50, and 0.75. Their temperature dependence (27-170 °C) obeys the form x(T) =A/T + B with coefficients that connote upper critical solution behavior, yielding Tc ~40 °C for one blend series (H97A/D88) and Tc ~60 °C for the other (H88/D78). These estimates are consistent with SANS pattern changes and supplemental light scattering results that indicate two-phase morphologies at lower temperatures. The x(D coefficients for the two series are also consistent with the random copolymer equation, although the interaction parameter obtained for branch C4-linear C4 chain units is much larger than that found by Crist and co-workers for saturated polybutadienes with lower ethyl branch contents.
We combine state-of-the-art synthetic, chromatographic, rheological, and modeling techniques in order to address the role of architectural polydispersity in the rheology of model branched polymers. This synergy is shown to be imperative in the field and leads to several important results. Even the best available synthesis is prone to “contamination” by side-products. The exact targeted macromolecular structure can be analyzed experimentally and statistically and eventually fractionated. Temperature-gradient interaction chromatography proves to be an indispensible tool in this process. All techniques are sensitive to the various macromolecular structures, but in different ways. In particular, the presence of side-products may or may not influence the linear rheology, due to competing contributions of the different relaxation processes involved, reflecting different structures at different fractions. Hence, combination of all these techniques is the key for fully decoding the architectural composition of branched polymers and its influence on rheology.
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