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Related Concept Videos

Polymer Classification: Architecture01:14

Polymer Classification: Architecture

Polymers are classified as linear or branched on the basis of their chain architecture. The polymer chains in linear polymers have a long chain-like structure with minimal to no branching at all. Even if a polymer features large substituent groups on the monomer, which appear as branches to the skeleton, it is not considered a branched polymer. A branched polymer contains secondary polymer chains that arise from the main polymer chain. The branching occurs when the polymer growth shifts from...
Polymers02:34

Polymers

The word polymer is derived from the Greek words “poly” which means “many” and “mer” which means “parts”. Polymers are long chains of molecules composed of repeating units of smaller molecules, known as monomers. They either occur naturally, such as DNA and proteins, or can be constructed synthetically, like plastics. They have varied structural characteristics, such as linear chains, branched chains, or complex networks, that contribute to the properties that they exhibit. Additionally,...
Polymers02:34

Polymers

The word polymer is derived from the Greek words “poly” which means “many” and “mer” which means “parts”. Polymers are long chains of molecules composed of repeating units of smaller molecules, known as monomers. They either occur naturally, such as DNA and proteins, or can be constructed synthetically, like plastics. They have varied structural characteristics, such as linear chains, branched chains, or complex networks, that contribute to the properties that they exhibit. Additionally,...
Polymers02:34

Polymers

The word polymer is derived from the Greek words “poly” which means “many” and “mer” which means “parts”. Polymers are long chains of molecules composed of repeating units of smaller molecules, known as monomers. They either occur naturally, such as DNA and proteins, or can be constructed synthetically, like plastics. They have varied structural characteristics, such as linear chains, branched chains, or complex networks, that contribute to the properties that they exhibit. Additionally,...
Characteristics and Nomenclature of Homopolymers01:00

Characteristics and Nomenclature of Homopolymers

Polymers that are made up of identical monomer units are called homopolymers. Only one repeating unit is involved in the construction of the homopolymer structure. For example, as depicted in Figure 1, polypropylene is a homopolymer constituted of propylene monomers. Here, the only repeating unit in the polymer chain is propylene.
Characteristics and Nomenclature of Copolymers01:24

Characteristics and Nomenclature of Copolymers

Copolymers are the products obtained from the polymerization of multiple monomer species. So, in a polymer chain itself, there can be multiple repeating units that come from different monomers. The process of synthesizing a polymer from different monomer species is called copolymerization. When two monomers are involved, the polymer is known as a bipolymer. Polymers with three and four monomers are termed terpolymers and quaterpolymers, respectively. Figure 1 depicts the copolymerization of...

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Updated: May 29, 2026

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

Characterization of polymer structures based on Burnside's lemma.

Kentaro Doi1, Keigo Kato, Satoyuki Kawano

  • 1Department of Mechanical Science and Bioengineering, Graduate School of Engineering Science, Osaka University, Osaka 560-8531, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 27, 2011
PubMed
Summary

Burnside's lemma models polymer structures by analyzing functional groups. This study found sulfonic groups disperse in SPEEK membranes, hindering proton conduction in fuel cells.

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Area of Science:

  • Materials Science
  • Computational Chemistry
  • Polymer Science

Background:

  • Advanced computational methods enable polymer structure prediction.
  • Modeling entire complex polymer structures can be limited by computational resources.
  • Key material properties can arise from simple structural features.

Purpose of the Study:

  • To investigate polymer structure characteristics using Burnside's lemma.
  • To apply a novel modeling approach to functional group behavior in polymers.
  • To analyze the molecular structure of sulfonated poly(ether ether ketone) (SPEEK).

Main Methods:

  • Application of Burnside's lemma for polymer structure modeling.
  • Analysis of symmetry and periodicity in polymer structures.
  • Investigation of energy distribution based on functional group conformations.

Main Results:

  • Burnside's lemma effectively models polymers with important functional groups.
  • Sulfonic groups in SPEEK membranes tend to disperse under stable conditions.
  • Dispersed sulfonic groups create challenges for forming proton-conductive water channels.

Conclusions:

  • The developed method confirms previous findings and offers detailed structural insights.
  • SPEEK's sulfonic group dispersion is a key factor limiting its performance compared to Nafion®.
  • This approach is valuable for modeling polymers and molecular crystals where functional groups dictate properties.