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Polymers: Molecular Weight Distribution

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.

Molecular Weight of Step-Growth Polymers

Molecular Weight of Step-Growth Polymers

Step growth polymerization involves bi or multifunctional monomers. Bifunctional monomers react to form linear step growth polymers, whereas multifunctional monomers react to form non-linear or branched polymers.
As the step-growth polymerization involves step-wise condensation of monomers, the molecular weight also builds up eventually. Consequently, high molecular weight polymers are obtained at the late stages of the polymerization, where 99% of monomers have been consumed.
The extent of the...

Determination of Molar Masses of Polymers I

Determination of Molar Masses of Polymers I

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...

Step-Growth Polymerization: Overview

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...

Radical Chain-Growth Polymerization: Overview

Radical Chain-Growth Polymerization: Overview

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...

Radical Chain-Growth Polymerization: Chain Branching

Radical Chain-Growth Polymerization: Chain Branching

The skeletal structure of polymers synthesized via radical polymerization is always branched. For example, the polymerization of ethylene by radical polymerization results in a low-density grade of polyethylene with a heavily branched skeletal structure. Here, the radical site abstracts hydrogen from the growing chain, and the radical site shifts from the end (a primary carbon center) to anywhere within the growing chain (a secondary carbon center). Consequently, the part of the chain from the...

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DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers

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Single-polymer dynamics under constraints: scaling theory and computer experiment.

Andrey Milchev¹

¹Institute for Physical Chemistry, Bulgarian Academy of Science, 1113 Sofia, Bulgaria.

Journal of Physics. Condensed Matter : an Institute of Physics Journal

|February 22, 2011

Summary

This review compares theoretical predictions with experimental and simulation data on how single polymer chains move and relax under various confinement conditions. It highlights geometric restrictions

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Area of Science:

Polymer Physics
Soft Matter Physics
Computational Biophysics

Background:

Understanding polymer chain dynamics in confined environments is crucial for fields like nanotechnology and materials science.
Existing theories often simplify polymer behavior, necessitating comparison with empirical and simulation data.

Purpose of the Study:

To review and compare theoretical scaling predictions with experimental and simulation observations of single linear polymer chain dynamics under confinement.
To explore the effects of various geometric constraints (cylindrical, spherical, slit-like) and related scenarios (random media, nanopores, surface adsorption) on polymer dynamics.

Main Methods:

Review of theoretical scaling predictions.
Analysis of experimental observations.
Examination of computer simulation results.
Consideration of coarse-grained models for self-avoiding linear polymer chains (Rouse dynamics).
Inclusion of studies on hydrodynamic interactions and polymer adsorption.

Main Results:

Comparison between theoretical predictions and simulation/experimental data for polymer relaxation, diffusion, and translocation dynamics.
Assessment of the impact of geometric restrictions on single-chain dynamics.
Identification of areas where theoretical understanding aligns well with observations and where discrepancies exist.

Conclusions:

Geometric confinement significantly influences single polymer chain dynamics.
Agreement between theory and observations is a key metric for assessing our understanding of confined polymer behavior.
Further research is needed to fully elucidate the role of factors like hydrodynamic interactions in complex confinement scenarios.