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Related Experiment Video

Updated: Jun 26, 2026

Modulating Shape of Polyester Based Polymersomes using Osmotic Pressure

Modulating Shape of Polyester Based Polymersomes using Osmotic Pressure

Published on: April 21, 2021

Phase behavior of polyelectrolyte solutions with salt.

Chi-Lun Lee¹, Murugappan Muthukumar

¹Department of Polymer Science and Engineering, University of Massachusetts, Amherst, Massachusetts 01003, USA.

The Journal of Chemical Physics

|January 22, 2009

Summary

This study models polyelectrolyte solutions, predicting complex phase behavior and critical phenomena. The findings reveal how salt valency influences liquid-liquid transitions, offering insights into re-entrant precipitation.

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Modulating Shape of Polyester Based Polymersomes using Osmotic Pressure

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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 Science
Physical Chemistry
Solution Thermodynamics

Background:

Understanding polyelectrolyte solutions is crucial for various applications.
Existing theories often simplify chain flexibility, charge correlations, and solvent interactions.
A comprehensive theory is needed to capture the complex behavior of these systems.

Purpose of the Study:

To compute phase diagrams for flexible polyelectrolyte solutions with added electrolytes.
To investigate the influence of conformational fluctuations, charge correlations, hydrophobic interactions, and translational entropy.
To explore the impact of salt valency on phase behavior and liquid-liquid transitions.

Main Methods:

Utilized a mean-field theoretical approach based on Muthukumar's recent theory.
Incorporated Donnan equilibrium conditions for coexisting phases.
Compared results with scenarios of constrained component chemical potentials.

Main Results:

Predicted rich phase diagram phenomena, including two critical points in salt-free solutions.
Identified coupling effects leading to critical end points and triple points.
Demonstrated that electrolyte ion valency significantly alters phase diagrams, predicting re-entrant precipitation.

Conclusions:

The developed theory accurately describes polyelectrolyte solution behavior, bridging existing models.
The study highlights the critical role of salt valency in inducing complex phase transitions.
Findings provide a theoretical basis for understanding experimental observations like re-entrant precipitation.