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The living membranes are flexible due to their fluid mosaic nature; however, their bending into different shapes is an active process regulated by specific lipids and proteins. The membrane bending can be transient as seen in vesicles or stable for a long time as in microvilli. Cells regulate the size, location, and duration of the membrane curvature.
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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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Water and other polar molecules are attracted to ions. The electrostatic attraction between an ion and a molecule with a dipole is called an ion-dipole attraction. These attractions play an important role in the dissolution of ionic compounds in water.
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Influence of Rigidity-Hydration Coupling on Size-Dependent Diffusion in Hydrated Polymer Membranes.

Paul R Irving1, Soham Rane1, Benny D Freeman1

  • 1Department of Chemical Engineering, University of Texas at Austin, Austin, Texas 78712, United States.

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Summary
This summary is machine-generated.

Polymer rigidity critically influences ion transport in membranes by affecting how penetrant diffusion couples with polymer dynamics and hydration. A new model unifies descriptions of this transport across various conditions.

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Area of Science:

  • Materials Science
  • Polymer Physics
  • Chemical Engineering

Background:

  • Selective ion transport in polymer membranes is vital for applications like batteries and separations.
  • Understanding the interplay between polymer dynamics, hydration, and penetrant diffusion is crucial but complex.
  • Existing models struggle to explain transport in regimes where penetrant size, polymer chain flexibility, and water content are comparable.

Purpose of the Study:

  • To systematically investigate penetrant diffusion in hydrated polymer networks.
  • To elucidate the mechanistic interplay between polymer rigidity, water content, and penetrant size.
  • To develop an improved model for predicting penetrant transport across diverse conditions.

Main Methods:

  • Coarse-grained molecular dynamics simulations were employed.
  • Simulations covered a wide range of water volume fractions, polymer chain rigidities, and penetrant sizes.
  • A modified Yasuda model incorporating polymer rigidity was developed and validated.

Main Results:

  • A transition was observed from decoupled diffusion (small penetrants) to coupled diffusion (large penetrants requiring polymer motion).
  • Increased polymer rigidity significantly impacts diffusivity, especially at low hydration, deviating from standard scaling laws.
  • The extended Yasuda model successfully unified diffusivity data across all simulated conditions.

Conclusions:

  • Polymer rigidity is a key tunable parameter governing penetrant diffusion in hydrated polymer matrices.
  • The developed model provides a unified framework for understanding size-dependent transport in ion-selective membranes.
  • Findings offer insights for designing advanced polymer membranes with tailored transport properties.