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Polymers: Molecular Weight Distribution01:10

Polymers: Molecular Weight Distribution

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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.
4.5K
Characteristics and Nomenclature of Copolymers01:24

Characteristics and Nomenclature of Copolymers

3.1K
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...
3.1K
Polymer Classification: Crystallinity01:21

Polymer Classification: Crystallinity

3.7K
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...
3.7K
Molecular Weight of Step-Growth Polymers01:08

Molecular Weight of Step-Growth Polymers

2.7K
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...
2.7K
Radical Chain-Growth Polymerization: Chain Branching01:17

Radical Chain-Growth Polymerization: Chain Branching

2.3K
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...
2.3K
Polymers: Defining Molecular Weight01:01

Polymers: Defining Molecular Weight

3.6K
Unlike small molecules with definite molecular weights, polymers are a mixture of individual polymer chains of varying lengths, each with a unique molecular weight.  So, the molecular weight of a polymer is expressed as an average value based on the average size of the polymer chains. The two most common forms of averages used for polymers are the number average molecular weight and weight average molecular weight.
The number average molecular weight (Mn) is the summation of the number...
3.6K

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Related Experiment Video

Updated: Dec 24, 2025

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers
08:00

DNA Nanotubes as a Versatile Tool to Study Semiflexible Polymers

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Shape analysis of random polymer networks.

V Blavatska1,2, K Haydukivska1,2, Yu Holovatch1,2,3

  • 1Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 79011 Lviv, Ukraine.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|April 15, 2020
PubMed
Summary
This summary is machine-generated.

This study models random polymer networks using Erdös-Rényi graphs. Decreasing network connectedness increases the asymmetry of polymer structures, impacting their size and shape characteristics.

Keywords:
conformational propertiesnumerical simulationspath integrationpolymers

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Area of Science:

  • Polymer physics
  • Materials science
  • Network theory

Background:

  • Polymer networks are crucial in materials science.
  • Understanding their structural properties is key to controlling material behavior.
  • Random graph theory provides a framework for modeling complex networks.

Purpose of the Study:

  • To develop a model for random polymer networks based on Erdös-Rényi random graphs.
  • To investigate the relationship between network connectedness and structural asymmetry.
  • To analyze universal size and shape characteristics of polymer networks.

Main Methods:

  • Modeling polymer networks using Erdös-Rényi random graphs.
  • Representing chemical bonds as vertices and functionalities as degrees.
  • Utilizing Wei's method for numerical analysis.
  • Applying the continuous chain model for analytical solutions.

Main Results:

  • Derived universal, rotationally invariant size and shape characteristics.
  • Quantitatively showed that decreasing connectedness (c) increases structural asymmetry.
  • Observed an increase in asphericity and size ratio with decreased connectedness.

Conclusions:

  • The proposed model effectively captures polymer network behavior.
  • Network connectedness is a critical parameter influencing structural asymmetry.
  • Findings provide insights into the relationship between network topology and macroscopic properties.