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Related Concept Videos

Polymer Classification: Crystallinity01:21

Polymer Classification: Crystallinity

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.
Crystalline domains are the regions where polymer chains are aligned in an orderly manner and held together in proximity by intermolecular forces. For example, chains in the crystalline domains of polyethylene and nylon are bound together by van der Waals...
Determination of Molar Masses of Polymers II01:27

Determination of Molar Masses of Polymers II

Polymer samples typically consist of macromolecular chains with a distribution of lengths, resulting in a range of molar masses rather than a single discrete value. Conventional descriptors such as the number-average molar mass and weight-average molar mass quantify this distribution but do not fully capture polymer behavior in solution..The viscosity-average molar mass provides a more realistic description of polymer behavior in solution because it accounts for the enhanced contribution of...
Determination of Molar Masses of Polymers I01:24

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Polymerization produces macromolecules with a range of chain lengths due to the random nature of molecular growth processes. As chains form and terminate at different stages, a single polymer sample contains molecules of varying sizes rather than a uniform structure. This variability is described using average molar masses and distribution-related parameters, which together provide a comprehensive understanding of polymer characteristics.The distribution of molar masses plays a critical role in...
Polymer Classification: Stereospecificity01:26

Polymer Classification: Stereospecificity

Polymerization generates chiral centers along the entire backbone of a polymer chain. Accordingly, the stereochemistry of the substituent group has a significant effect on polymer properties. Polymers formed from monosubstituted alkene monomers feature chiral carbons at every alternate position in the polymer backbone. Relative to the predominant orientation of substituents at the adjacent chiral carbons, the polymer can exist in three different configurations: isotactic, syndiotactic, and...
Polymers: Molecular Weight Distribution01:10

Polymers: Molecular Weight Distribution

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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Molecular Weight of Step-Growth Polymers

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The extent of the...

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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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Published on: September 26, 2016

Analytical coarse-grained description for polymer melts.

E J Sambriski1, G Yatsenko, M A Nemirovskaya

  • 1Department of Chemistry, Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403, USA.

The Journal of Chemical Physics
|December 28, 2006
PubMed
Summary

This study presents an analytical theory to coarse-grain polymer melts into interacting soft colloidal particles, aiding multiscale modeling of complex fluids. The theory accurately reproduces liquid structure, validated by simulations.

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Area of Science:

  • Polymer Physics
  • Soft Matter Physics
  • Computational Chemistry

Background:

  • Polymer melts are complex fluids requiring advanced simulation techniques.
  • Multiscale modeling is crucial for understanding macromolecular behavior.
  • Coarse-graining simplifies complex systems by representing groups of atoms as single particles.

Purpose of the Study:

  • To derive an analytical coarse-graining theory for polymer melts.
  • To represent polymer melts as liquids of interacting soft colloidal particles.
  • To enable multiscale modeling of complex macromolecular fluids.

Main Methods:

  • Derivation of an analytical theory from the Ornstein-Zernike equation.
  • Focus on pair correlation functions for coarse-graining.
  • Validation using molecular dynamics simulations at united atom and colloidal particle levels.
  • Enforcement of hypernetted-chain closure approximation for potential input.

Main Results:

  • The analytical theory successfully coarse-grains polymer melts into soft colloidal particles.
  • The theory accurately reproduces the center-of-mass intermolecular total pair correlation function.
  • Simulations confirm good agreement between the analytical theory and molecular dynamics results.
  • The approach is tested on polyethylene melts and polymers with varying architectures.

Conclusions:

  • The developed analytical coarse-graining theory is accurate and effective.
  • This approach facilitates the development of multiscale modeling for complex fluids.
  • The study highlights the importance of structure factors and higher-order corrections in coarse-graining accuracy.