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Unlike ionic or small covalent molecules, polymers do not form crystalline solids due to the diffusion limitations of their long-chain structures. However, polymers contain microscopic crystalline domains separated by amorphous domains.
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For any given polymer, the weight average molecular weight (Mw) is higher than, if not equal to, the number average molecular weight (Mn). The only situation in which the weight average molecular weight and the number average molecular weight are equal is when a polymer consists only of chains with equal molecular weight. However, this never happens in a synthetic polymer, since it is difficult to control the polymerization process up to a molecular level with accuracy to a hundred percent.
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Step-growth or condensation polymerization is a stepwise reaction of bi or multifunctional monomers to form long-chain polymers. As all the monomers are reactive, most of the monomers are consumed at the early stages of the reaction to form small chains of reactive oligomers, which then combine to form long polymer chains in the late stages. Hence, the reaction has to proceed for a long time to achieve high molecular weight polymers.
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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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Coarse grain forces in star polymer melts.

L Liu1, W K den Otter, W J Briels

  • 1Computational Biophysics, MESA+, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands. w.j.briels@utwente.nl.

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This study reveals that average forces in star polymers are accurately modeled by many-body potentials, not simple pair models. A new coarse-grained model successfully predicts polymer diffusion and relaxation.

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Area of Science:

  • Polymer Physics
  • Materials Science
  • Computational Chemistry

Background:

  • Understanding polymer dynamics in the molten state is crucial for material properties.
  • Star polymers exhibit complex force interactions due to their branched architecture.

Purpose of the Study:

  • To analyze forces acting on the centers of mass of three-armed star polymers.
  • To develop and validate a coarse-grained model for polymer dynamics.

Main Methods:

  • Simulations of three-armed star polymers with 35 Kremer-Grest beads per arm.
  • Analysis of instantaneous and average forces, comparing many-body and pair potentials.
  • Development of a coarse-grained model using dynamical variables for polymer mixing.

Main Results:

  • Instantaneous forces fluctuate significantly, while average forces are much smaller.
  • Many-body potentials accurately describe average forces; pair models fail.
  • The developed coarse-grained model successfully reproduces diffusion coefficients and shear relaxation moduli.

Conclusions:

  • Many-body interactions are essential for accurately modeling forces in star polymers.
  • The new coarse-grained model provides a reliable method for predicting polymer dynamics.
  • Further refinements to the model can be informed by the simulation findings.