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Related Concept Videos

Step-Growth Polymerization: Overview01:03

Step-Growth Polymerization: Overview

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.
Many natural and synthetic polymers are produced by...
Ziegler–Natta Chain-Growth Polymerization: Overview01:17

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Ziegler–Natta polymerization is another form of addition or chain‐growth polymerization used for synthesizing linear polymers over branched polymers. The catalyst used for polymerization is the Ziegler–Natta catalyst, named after Karl Ziegler and Giulio Natta, who developed it in 1953. This catalyst is an organometallic complex of titanium tetrachloride and triethyl aluminum, with the active form of the catalyst being an alkyl titanium compound. Using the Ziegler–Natta catalyst, high molecular...
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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

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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

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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,...
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Chain-growth or addition polymerization is successive addition reactions of monomers with a polymer chain. In radical chain-growth polymerization, the reaction proceeds via a free-radical intermediate. The free radical is formed from radical initiators, which spontaneously generate free radicals by homolytic fission. Organic peroxides (such as dibenzoyl peroxide, as shown in Figure 1) or azo compounds are popular radical initiators. A low concentration ratio of radical initiator to monomer is...

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Pulling self-interacting polymers in two dimensions.

J Krawczyk1, I Jensen, A L Owczarek

  • 1ARC Centre of Excellence for Mathematics and Statistics of Complex Systems, Department of Mathematics and Statistics, The University of Melbourne, Victoria 3010, Australia. j.krawczyk@ms.unimelb.edu.au

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
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This study examines a self-interacting polymer chain in two dimensions. In the thermodynamic limit, it reveals only two distinct phases: collapsed and stretched, differing from prior small-system analyses.

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Area of Science:

  • Polymer Physics
  • Statistical Mechanics
  • Soft Matter Physics

Background:

  • Investigating the behavior of polymers is crucial for understanding materials science and biological systems.
  • Self-interacting polymers exhibit complex phase behaviors influenced by dimensionality and external forces.
  • Previous studies on small polymer systems highlighted the role of statistical ensembles in phase diagram determination.

Purpose of the Study:

  • To analyze the phase behavior of a two-dimensional, self-interacting, end-grafted polymer under tension.
  • To determine the distinct phases of the polymer model in the thermodynamic limit.
  • To compare the findings with existing phase diagrams derived from small-system analyses.

Main Methods:

  • Theoretical investigation of a two-dimensional polymer model.
  • Analysis in the thermodynamic limit, considering a large number of polymer segments.
  • Comparison of phase diagrams across different system sizes and statistical ensembles.

Main Results:

  • The polymer model exhibits only two distinct phases: a collapsed phase and a stretched phase.
  • The phase diagram in the thermodynamic limit is simplified compared to small systems.
  • Differences arise due to the diminished role of statistical ensemble variations in the thermodynamic limit.

Conclusions:

  • The thermodynamic limit simplifies the phase diagram of self-interacting polymers.
  • Understanding polymer phases in the thermodynamic limit is essential for accurate theoretical predictions.
  • This work clarifies discrepancies between small-system and large-system polymer behavior.