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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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The radical chain-growth polymerization mechanism consists of three steps: initiation, propagation, and termination of polymerization. The polymerization initiates when a free radical generated from the radical initiator adds to the unsaturated bond in the monomer. The unpaired electron of the free radical and one π electron in the unsaturated bond creates a σ bond between the free radical and the monomer. As a result, the other π electron in the unsaturated bond converts this species into the...
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Critical polymer-polymer phase separation in ternary solutions.

Lei Guo1, Erik Luijten

  • 1Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801, USA.

The Journal of Chemical Physics
|October 19, 2005
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Summary

Polymer-polymer phase separation in good solvents shows a critical demixing temperature that scales nonlinearly with concentration, aligning with renormalization-group predictions. This study clarifies scaling argument validity and corrects prior interpretations of experimental and simulation data.

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Area of Science:

  • Polymer Physics
  • Soft Matter Physics
  • Computational Chemistry

Background:

  • Polymer-polymer phase separation is crucial for material properties.
  • Understanding phase behavior in good solvents is complex.
  • Existing theories have limitations in explaining critical phenomena.

Purpose of the Study:

  • To investigate polymer-polymer phase separation in a common good solvent.
  • To determine the scaling behavior of critical demixing temperature with concentration.
  • To compare simulation results with renormalization-group predictions and prior studies.

Main Methods:

  • Monte Carlo simulations using the bond-fluctuation model.
  • Analysis of critical demixing temperature and concentration dependence.
  • Characterization of order parameter and scattering intensity critical amplitudes.
  • Examination of polymer coil shape changes during phase separation.

Main Results:

  • Phase separation occurs only above a critical, chain-length-dependent concentration.
  • Critical demixing temperature exhibits a nonlinear, power-law scaling with monomer concentration.
  • Scaling behavior is consistent with renormalization-group predictions, particularly "blob" scaling.
  • Critical amplitudes agree well with renormalization-group results, deviating from conventional predictions.
  • Average polymer coil shape changes significantly upon phase separation.

Conclusions:

  • The study validates renormalization-group predictions for polymer-polymer phase separation in good solvents.
  • Identifies limitations in the applicability of previous scaling arguments and experimental/simulation interpretations.
  • Provides a more accurate understanding of critical phenomena and chain-length dependence in polymer mixtures.