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Updated: Jul 29, 2025

Surface Properties of Synthesized Nanoporous Carbon and Silica Matrices

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Published on: March 27, 2019

Quantitative Study of Charge Distribution Variations on Silica-Nafion Composite Membranes under Hydration Using an

Osung Kwon¹, Jaehyoung Park², Jihoon Lee²

¹Faculty of Science, Tabula Rasa College, Keimyung University in Seongseo, Daegu 42601, Republic of Korea.

|May 27, 2023

Summary

This study introduces a new mathematical model for analyzing proton exchange membranes (PEMs) using electrostatic force microscopy (EFM). The model accurately quantifies ionic structure and charge distribution in PEMs, aiding their development.

Keywords:

charge distribution electrostatic force microscopy ionic channel distribution nafion composite numerical approximation model proton conductivity proton exchange membrane proton transport mechanism

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Area of Science:

Materials Science
Electrochemistry
Surface Science

Background:

Proton exchange membranes (PEMs) are critical for various electrochemical applications.
Understanding their ionic structure and charge transport is essential for optimizing performance.
Electrostatic Force Microscopy (EFM) offers a powerful approach for probing these properties at the nanoscale.

Purpose of the Study:

To develop and validate a mathematical approximation model for interpreting EFM signals from PEMs.
To quantitatively analyze the ionic structure and charge transport in recast Nafion and silica-Nafion composite membranes.
To enable accurate characterization of local dielectric properties and surface charge distribution.

Main Methods:

Derivation of a mathematical approximation model based on electromagnetism, EFM principles, and PEM chemical structure.
Simultaneous acquisition of phase and charge distribution maps using Atomic Force Microscopy (AFM).
Quantitative characterization of charge distribution maps using the developed model.

Main Results:

The derived model accurately separates electrostatic forces into contributions from induced and free surface charges.
Local dielectric properties and surface charge distributions were numerically calculated for the membranes.
The calculated results demonstrated good agreement with previously reported values, validating the model's accuracy.

Conclusions:

The developed mathematical model provides a robust framework for quantitative analysis of PEMs using EFM.
This approach enables precise characterization of ionic structure and charge transport mechanisms.
The findings contribute to the advancement of PEM materials and their applications.