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Updated: Jun 12, 2026

Solid-state Graft Copolymer Electrolytes for Lithium Battery Applications

Solid-state Graft Copolymer Electrolytes for Lithium Battery Applications

Published on: August 12, 2013

Self-consistent field theory of polymer-ionic molecule complexation.

Issei Nakamura¹, An-Chang Shi

¹Department of Physics and Astronomy, McMaster University, 1280 Main Street West, Hamilton, Ontario L8S 4L8, Canada. nakamur@caltech.edu

The Journal of Chemical Physics

|May 27, 2010

Summary

This summary is machine-generated.

A new theory models how polymers bind ions, explaining polymer gelation and phase transitions. This self-consistent field theory accurately predicts polymer-adsorbate interactions and gel formation.

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Controlling the Size, Shape and Stability of Supramolecular Polymers in Water

Controlling the Size, Shape and Stability of Supramolecular Polymers in Water

Published on: August 2, 2012

Area of Science:

Polymer physics
Physical chemistry
Materials science

Background:

Polymers can bind small ionic molecules, influencing their properties.
Understanding polymer-adsorbate interactions is crucial for material design.
Polymer gelation is a significant phenomenon in polymer science.

Purpose of the Study:

To develop a self-consistent field theory for polymers binding ionic molecules.
To model polymer gelation and phase transitions driven by ion binding.
To investigate the influence of adsorbate concentration on sol-gel transitions.

Main Methods:

Development of a self-consistent field theory using Ising-like binding variables.
Calculation of spinodal lines from mean-field free energy.
Examination of sol-gel transitions using a critical degree of conversion.
Application to a model system of poly(vinyl alcohol) and borate ions.

Main Results:

The theory predicts three solutions for adsorbed molecules based on binding equilibrium.
Phase instability and closed-loop regions in spinodal lines were observed.
A gel phase is induced by increasing adsorbate concentration.
Re-entrance from gel to sol phase occurs at higher adsorbate concentrations due to site correlations.

Conclusions:

The developed theory accurately describes polymer-adsorbate binding and gelation.
The model explains complex phase behaviors, including re-entrant transitions.
The theory shows good agreement with experimental data for poly(vinyl alcohol) and borate ions.