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The cationic polymerization mechanism consists of three steps: initiation, propagation, and termination. In the initiation step of the polymerization process, the π bond of a monomer gets protonated by the Lewis acid catalyst, which is formed from boron trifluoride and water. The protonation of the π bond generates a carbocation stabilized by the electron‐donating group. In the propagation step, the π bond of the second monomer acts as a nucleophile and attacks the...
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The skeletal structure of polymers synthesized via radical polymerization is always branched. For example, the polymerization of ethylene by radical polymerization results in a low-density grade of polyethylene with a heavily branched skeletal structure. Here, the radical site abstracts hydrogen from the growing chain, and the radical site shifts from the end (a primary carbon center) to anywhere within the growing chain (a secondary carbon center). Consequently, the part of the chain from the...
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The mechanism for anionic chain-growth polymerization involves initiation, propagation, and termination steps. In the initiation step, a nucleophilic anion, such as butyl lithium, initiates the polymerization process by attacking the π bond of the vinylic monomer. As a result, a carbanion, stabilized by the electron‐withdrawing group, is generated. The resulting carbanion acts as a Michael donor in the propagation step and attacks the second vinylic monomer, which acts as a Michael...
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Synthesis of Cyclic Polymers and Characterization of Their Diffusive Motion in the Melt State at the Single Molecule Level
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Universal Cyclic Topology in Polymer Networks.

Rui Wang1, Alfredo Alexander-Katz2, Jeremiah A Johnson3

  • 1Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

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Topological defects in polymer networks are universally governed by a single parameter. Measuring primary loops fully characterizes network topology, simplifying the study of polymer properties.

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Area of Science:

  • Polymer Physics
  • Materials Science

Background:

  • Polymer networks contain topological defects like loops, which significantly influence their properties.
  • Understanding these defects is crucial for controlling polymer network behavior.

Purpose of the Study:

  • To demonstrate that all cyclic topologies in polymer networks are a universal function of a single dimensionless parameter.
  • To establish a method for characterizing entire network topology through the measurement of primary loops.

Main Methods:

  • Development of a theoretical framework linking network formation conditions to topology.
  • Validation using experimental hydrogel loop fraction data.
  • Confirmation through parameter-free Monte Carlo simulations.

Main Results:

  • A single dimensionless parameter universally describes all cyclic topologies in polymer networks.
  • The theory accurately predicts experimental and simulation results without fitting parameters.
  • Demonstrated superposition of dilution and chain-length effects on loop formation.
  • Established a one-to-one correspondence between overall network topology and primary loop fraction.

Conclusions:

  • Network topology is not freely adjustable, contrary to previous assumptions.
  • Quantifying topological defects, particularly primary loops, is key to understanding polymer network properties.
  • This work provides a fundamental step towards correlating polymer network topology with macroscopic properties.