Modeling Branched Polyethylene
A R T I C L E S
structural study of branched polyethylene. A wealth of informa-
tion can be collected concerning the amount, nature, and
partitioning of branched PE materials using 13C NMR studies.27
The precisely branched ADMET PEs synthesized thus far offer
a tremendous potential to study/model the direct impact a short-
chain branch and its distribution have on the final structure-
property relationships in ethylene-based materials. Nowhere is
this more evident than in the NMR results presented here.
Further, the majority of the methyl branches are known to in-
corporate into the repeating methylene sequences.31 Of course,
under equilibrium conditions the branches, even methyl, are
assumed to be rejected from the crystallites.32 Equilibrium is
seldom reached during crystallization, however, thereby favoring
an intermediate situation where the partial segregation of branch-
es exists between the amorphous and crystal regions.33 This
equilibrium, for branches longer than methyl, can be shifted by
the crystallization conditions to favor inclusion or exclusion.31a,34
On this basis, the bulk of the ethyl side group is at the boundary
between total exclusion and inclusion within the crystal lattice.
The intermediate situation of phase partitioning chain defects
seems most likely, and there have been numerous experi-
mental,27,31b,35 theoretical,36-39 and molecular modeling studies40
to help define a mechanism for branch inclusion. Typically,
X-ray diffraction coupled with high-field 13C NMR has been
used to determine branch inclusion. For ethyl-branched poly-
mers, the proportion of ethyl branch inclusion was determined
to be a function of SCB concentration and was estimated at
10:1 (17 SCB/1000C) and 5:1 (21 SCB/1000C) between the
amorphous and crystalline regions.27a,31b,34 More recently, studies
have assumed the existence of branch incorporation by consid-
ering possible structural perturbations and conformational
defects. These studies have proposed interstitial sites along the
polymer chains, known as kinks,36,37 arising from conforma-
tional gauche defects (2g1 defects) being the most common.38
These 2g1 defects have been proposed to be large enough for
ethyl branches.36a,39 In fact, the gtg (2g1) conformation can be
observed using IR and assigned the 1366 and 1305 cm-1
absorptions.
As previously observed in our model EP model copolymers,
the utility of IR to observe and understand changes in structure
is invaluable. In the past, Tashiro et al.28 carried out a detailed
study on the IR response of differing polyethylene crystal
structures. In Figure 6, the saturated ADMET EB copolymer
models clearly exhibit the characteristic shapes and absorption
values (two single peaks at 1461 and 720 cm-1), which suggests
an unorganized packing structure. The limited correlation
between IR and X-ray data in EB copolymers means that the
exact structure cannot be determined from the absorbance
spectra alone. However, following the vibrational analysis made
for n-alkenes and disordered polyethylene we can make certain
observations using the 1366, 1305, and 1352 cm-1 bands.29
Previously, the bands observed at 1366 and 1305 cm-1 were
assigned to a kink and the 1352 cm-1 to a double gauche defect
in PE materials.28 The overall concentration of gauche and kink
methylene sequences for our ADMET EB copolymers is reduced
with the decrease in branch defect content. This trend can be
observed by the comparison of these defect bands versus the
-CH2- scissoring at 1461 cm-1. Also, the ratio of these defect
bands (1366, 1305, and 1352 cm-1) relative to the methylene
wagging vibration at 1261 cm-1 shows a unique pattern. Close
inspection reveals that the ratio of all three disordered vibrations
are equal relative to each other; however, their ratio to 1461
cm-1 changes depending on the branch content and crystallinity.
Of course, both HPEB9 and HPEB15 are amorphous at the
recorded spectra temperature, while HPEB21 is semicrystalline.
The observed disordered ratio trend can also be observed using
the 801 and 769 cm-1 vibrations (visible with EB copolymers30).
The peaks most likely originate from a methylene rock and
proceed with a similar up/down ratio when the defect content
and crystallinity change. While at present the exact cause of
these vibrations and variable intensities cannot be correlated to
structural information in our EB copolymers, we can compare
them to our precise methyl-branched copolymers as well as
theoretical models (Figure 6b).
As mentioned earlier, our EB copolymers exhibit high
concentrations of the kink (tttgtgttt) defect. The concentration
of these defects relative to the double gauche (1351 cm-1
)
remains constant throughout the branch content. Also, it would
seem that the distorted trans segments (shoulder of the 1461
cm-1 absorption) hold this constant relationship as well. The
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