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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.
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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.
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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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Polymers: Defining Molecular Weight01:01

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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.
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Intermolecular Forces in Solutions02:28

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The formation of a solution is an example of a spontaneous process, a process that occurs under specified conditions without energy from some external source.
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Consistent and Transferable Force Fields for Statistical Copolymer Systems at the Mesoscale.

R L Nkepsu Mbitou1,2, F Goujon1, A Dequidt1

  • 1Université Clermont Auvergne, CNRS, Clermont Auvergne INP, Institut de Chimie de Clermont-Ferrand, F-63000Clermont-Ferrand, France.

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|October 7, 2022
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Summary
This summary is machine-generated.

The statistical trajectory matching (STM) method effectively creates coarse-grained (CG) models for copolymers. This approach ensures transferable CG force fields across various compositions, applicable to any copolymer system.

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Area of Science:

  • Polymer Science
  • Computational Chemistry
  • Materials Science

Background:

  • Statistical trajectory matching (STM) is established for homopolymer coarse-grained (CG) models.
  • Developing CG models for statistical copolymers presents significant challenges.

Purpose of the Study:

  • To present a strategy for developing CG models for styrene-butadiene-rubber.
  • To evaluate the quality of CG force fields for copolymers at varying compositions.
  • To demonstrate the transferability of STM-derived CG models.

Main Methods:

  • Application of the statistical trajectory matching (STM) method.
  • Development of CG models for styrene-butadiene-rubber.
  • Mesoscopic simulations using dissipative particle dynamics (DPD).
  • Comparison with high-resolution molecular dynamics (MD) simulations.

Main Results:

  • STM successfully generates transferable CG potentials for copolymers.
  • CG models accurately represent structure and thermodynamics across different chemical compositions.
  • The methodology requires minimal reference systems for accurate model generation.

Conclusions:

  • The STM method is a robust strategy for creating transferable CG models for statistical copolymers.
  • This methodology is broadly applicable to diverse copolymer systems.
  • STM facilitates efficient mesoscopic simulations of complex polymer materials.