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Tension is a force along the length of a medium, in particular, a force carried by a flexible medium, such as a rope or cable. The word "tension" comes from Latin, meaning "to stretch". Not coincidentally, the flexible cords that carry muscle forces to other parts of the body are called tendons. Any flexible connector, such as a string, rope, chain, wire, or cable, can exert pull only parallel to its length; so, a force carried by a flexible connector is a tension with a...
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Bond Tension in Tethered Macromolecules.

Sergei S Sheiko1, Sergey Panyukov2, Michael Rubinstein1

  • 1Department of Chemistry, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599-3290, United States.

Macromolecules
|August 13, 2016
PubMed
Summary

Mechanical tension in branched macromolecules can be amplified by steric repulsion, potentially exceeding bond strength. This study analyzes tension in polymer stars and bottlebrushes, revealing how architecture and grafting density influence linker and backbone tension.

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Area of Science:

  • Polymer Physics
  • Materials Science
  • Nanotechnology

Background:

  • Densely branched macromolecules tethered to surfaces generate significant mechanical tension.
  • Steric repulsion between polymer branches amplifies tension in the tethering linker.
  • Understanding tension is crucial as it can exceed covalent bond strength and cause molecular failure.

Purpose of the Study:

  • To perform a scaling analysis of mechanical tension in tethered polymer stars and bottlebrushes.
  • To investigate the influence of molecular architecture, grafting density, and number of arms on generated tension.
  • To compare tension in different grafting regimes (mushroom, loose, and dense).

Main Methods:

  • Theoretical scaling analysis of mechanical tension.
  • Modeling of polymer stars and bottlebrushes under different grafting conditions.
  • Formulation of tension-architecture relationships based on parameters like number of arms (z), interchain distance (d), and Kuhn length (b).

Main Results:

  • Tension in the linker is amplified by a factor of z (number of arms).
  • Tension in densely grafted stars and bottlebrushes scales with z and d, with specific formulas for solvent and dry conditions.
  • Bottlebrushes exhibit tension variation along the backbone, increasing from the free end to the substrate attachment point.

Conclusions:

  • The number of arms (z) and interchain distance (d) are critical factors determining mechanical tension in tethered branched polymers.
  • Tension can reach up to 1 nN in dense brushes with ~1000 arms, potentially leading to linker scission.
  • The findings provide insights into the mechanical properties of complex polymer architectures relevant to nanotechnology and materials science.