1971
DOI: 10.1021/ma60022a029
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Distribution of Long and Short Branches in Low-Density Polyethylenes

Abstract: Long and Short Branches in Low-Density Polyethylenes 507 on whether each rubber chain is anchored to the spherical domain(s) at no chain end, one chain end, or both chain ends and whether each rubber chain has enough mobility to flow into the lower density region to average out the density fluctuations.

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Cited by 54 publications
(9 citation statements)
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“…Long-chain branching (LCB) has major implications on the melt strength of polymers. The introduction of LCB reduces melt viscosity of high molecular weight polymers at a given processing temperature. ,, Furthermore, LCBs improve shear thinning and extensional flow over linear analogues at equivalent molecular weights. ,, This improvement over linear polymers makes LCB polymer systems a source of interest in applications involving molding strategies, where molten polymer flows into a desired shape at high frequencies. Much of the current literature reveals the impact of long-chain branches in polyolefins and polyesters, where branch molecular weights ( M b ) are orders of magnitude larger than the molecular weight of entanglement ( M e ). ,, The low concentration of branching points in LCB polyolefins causes difficulties in the characterization of critical parameters, e.g., M b , of the branched polymers. Despite this challenge, many correlations between rheological properties and degree of branching exist. , Generally, the presence of branches decreases viscosity at low shear rates (typically within the Newtonian plateau) as a result of the smaller random coil size compared to linear chains of the same molecular weight. , However, many also report an increase in viscosity with low incorporation of LCBs and attribute the increased density of chain entanglements and extensive chain–chain coupling to this phenomenon. , In detail, Manaresi et al systematically control polymerization conditions and trifunctional monomer concentration to elucidate the influence of branch density and length on viscosity of poly­(ethylene terephthalate) (PET) . At constant M w , the zero-shear viscosity and intrinsic viscosity are lower than those of the linear analogue.…”
Section: Introductionmentioning
confidence: 99%
“…Long-chain branching (LCB) has major implications on the melt strength of polymers. The introduction of LCB reduces melt viscosity of high molecular weight polymers at a given processing temperature. ,, Furthermore, LCBs improve shear thinning and extensional flow over linear analogues at equivalent molecular weights. ,, This improvement over linear polymers makes LCB polymer systems a source of interest in applications involving molding strategies, where molten polymer flows into a desired shape at high frequencies. Much of the current literature reveals the impact of long-chain branches in polyolefins and polyesters, where branch molecular weights ( M b ) are orders of magnitude larger than the molecular weight of entanglement ( M e ). ,, The low concentration of branching points in LCB polyolefins causes difficulties in the characterization of critical parameters, e.g., M b , of the branched polymers. Despite this challenge, many correlations between rheological properties and degree of branching exist. , Generally, the presence of branches decreases viscosity at low shear rates (typically within the Newtonian plateau) as a result of the smaller random coil size compared to linear chains of the same molecular weight. , However, many also report an increase in viscosity with low incorporation of LCBs and attribute the increased density of chain entanglements and extensive chain–chain coupling to this phenomenon. , In detail, Manaresi et al systematically control polymerization conditions and trifunctional monomer concentration to elucidate the influence of branch density and length on viscosity of poly­(ethylene terephthalate) (PET) . At constant M w , the zero-shear viscosity and intrinsic viscosity are lower than those of the linear analogue.…”
Section: Introductionmentioning
confidence: 99%
“…of polydisperse samples are larger than those of monodisperse samples having the same weight-average molecular weights. 23 Moreover, the effect of polydispersity on <S 2 ). is more remarkable than that on [17].…”
Section: Discussionmentioning
confidence: 99%
“…Differential scanning calorimetry analyses were carried out in duplicate with a TA DSC 2920 instrument (heating rate = 10 °C min −1 ), and the data based on the second heat are reported 5. Molecular weight determinations were made with viscosity measurements in decahydronaphtalene at 135 °C with a Cannon‐Fenske viscometer, and literature constants were applied 6. Every polymer sample was weighed and measured twice to reduce the error.…”
Section: Methodsmentioning
confidence: 99%