Related Experiment Video
Updated: Feb 9, 2026

Generating a Fractal Microstructure of Laminin-111 to Signal to Cells
Published on: September 28, 2020
Fractal diffusion in high temperature polymer electrolyte fuel cell membranes
Bernhard Hopfenmüller1, Reiner Zorn2, Olaf Holderer1
1Forschungszentrum Jülich GmbH, Jülich Centre for Neutron Science at Heinz Maier-Leibnitz Zentrum (MLZ), 85747 Garching, Germany.
Proton diffusion in phosphoric acid membranes, crucial for fuel cell performance, was studied using neutron scattering. Researchers observed subdiffusive proton behavior, interpreted through a novel fractal diffusion model.
Area of Science:
- Materials Science
- Electrochemistry
- Condensed Matter Physics
Background:
- Fuel cell performance relies heavily on proton diffusion within the proton conducting membrane.
- High-temperature polymer electrolyte fuel cells utilize polymer membranes swollen with phosphoric acid as the electrolyte.
Purpose of the Study:
- To investigate proton diffusion dynamics in phosphoric acid-swollen polymer membranes.
- To understand the mechanism of proton conduction relevant to fuel cell operation.
Main Methods:
- Neutron scattering techniques, specifically time-of-flight and backscattering spectroscopy, were employed.
- Isotopic substitution (hydrogen vs. deuterium in phosphoric acid) was used to selectively probe proton diffusion.
- Data analysis involved subtracting scattering data from different samples to isolate proton contributions.
Main Results:
- Subdiffusive proton diffusion behavior was observed in the polymer electrolyte membranes.
- A new scattering function for fractal diffusion was developed to model the observed behavior.
- The fractal diffusion dimension (dw) and Hausdorff dimension (df) were determined.
Conclusions:
- Proton diffusion in these fuel cell membranes exhibits fractal characteristics.
- The developed fractal diffusion model provides insights into ion transport mechanisms.
- Neutron scattering is a powerful tool for studying proton dynamics in fuel cell electrolytes.
Related Concept Videos
Batteries and Fuel Cells
Protein Diffusion in the Membrane
Electrolyte and Nonelectrolyte Solutions
Diffusion
Diffusion
Electrolytes: van't Hoff Factor
The colligative properties of a solution depend only on the number, not on the identity, of solute species dissolved. The concentration terms in the equations for various colligative properties (freezing point depression, boiling point elevation, osmotic pressure) pertain to all solute species present in the solution. Nonelectrolytes dissolve physically without dissociation or any other accompanying process. Each molecule that dissolves yields one...

