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Polymer Classification: Crystallinity01:21

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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.
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Intrinsically disordered proteins are a group of proteins that do not fold into specific three-dimensional structures. Their structural flexibility allows them to complement ordered proteins to perform functions that are inaccessible to rigid structures. They are more common in eukaryotes than prokaryotes and may either be exclusively intrinsically disordered or hybrid proteins, consisting of a mix of ordered and disordered regions. The absence of a rigid structure in these proteins can be...
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Polymerization generates chiral centers along the entire backbone of a polymer chain. Accordingly, the stereochemistry of the substituent group has a significant effect on polymer properties. Polymers formed from monosubstituted alkene monomers feature chiral carbons at every alternate position in the polymer backbone. Relative to the predominant orientation of substituents at the adjacent chiral carbons, the polymer can exist in three different configurations: isotactic, syndiotactic, and...
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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...
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Polymers: Molecular Weight Distribution01:10

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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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Related Experiment Video

Updated: Dec 22, 2025

Self-assembling Morphologies Obtained from Helical Polycarbodiimide Copolymers and Their Triazole Derivatives
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Self-assembling Morphologies Obtained from Helical Polycarbodiimide Copolymers and Their Triazole Derivatives

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Directed Polymers and Interfaces in Disordered Media.

Róbinson J Acosta Diaz1, Christian D Rodríguez-Camargo2,3, Nami F Svaiter4

  • 1Instituto de Física, Universidade Federal do Rio de Janeiro, Av. Athos da Silveira Ramos 149, Rio de Janeiro 21941-972, Brazil.

Polymers
|May 10, 2020
PubMed
Summary
This summary is machine-generated.

We developed a field theory for disordered polymers and interfaces. This approach uses integer moments of the partition function to calculate averaged free energy and interface wandering exponents.

Keywords:
disordered systemsfree energywandering exponent

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics
  • Polymer Physics

Background:

  • Directed polymers and interfaces in disordered media are crucial in various fields.
  • Understanding their behavior at finite temperatures is essential.
  • Quenched disorder introduces significant complexity to these systems.

Purpose of the Study:

  • To develop a field theory formulation for directed polymers and interfaces with quenched disorder.
  • To analyze the structure of field space for these systems at finite temperatures.
  • To derive the wandering exponent for interfaces using a novel method.

Main Methods:

  • A series representation for the averaged free energy was derived.
  • Integer moments of the partition function were utilized.
  • Saddle-point equations from partition function moments were applied to analyze field space structure.

Main Results:

  • The study provides a series representation for averaged free energy, incorporating all integer moments of the partition function.
  • Analysis of field space structure revealed insights into polymer and interface behavior.
  • The wandering exponent for interfaces was calculated as ξ = (4-d)/2.

Conclusions:

  • The developed field theory offers a new perspective on disordered polymer and interface systems.
  • The method successfully reproduces known results, such as the interface wandering exponent.
  • This formulation provides a framework for further investigations into complex disordered systems.