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Updated: May 11, 2026

Ligand-Mediated Nucleation and Growth of Palladium Metal Nanoparticles
Published on: June 25, 2018
Theory of coherent nucleation in phase-separating nanoparticles
Daniel A Cogswell1, Martin Z Bazant
1Samsung Advanced Institute of Technology America , Cambridge, Massachusetts 02142, United States.
Nanoparticle phase transitions are governed by size-dependent surface and elastic energies. Smaller particles remain stable, while larger ones transform, a finding crucial for battery materials and nanostructure design.
Area of Science:
- Materials Science
- Physical Chemistry
- Nanotechnology
Background:
- Understanding phase transitions in solid nanoparticles is key for advanced materials.
- Surface energy, chemical reactions, and strain significantly influence nucleation dynamics.
- Complete wetting is favored at binary solid surfaces, unlike in binary fluids.
Purpose of the Study:
- To reveal the fundamental physics of nucleation in solid single-crystal nanoparticles.
- To develop a phase-field theory accounting for surface energy, reactions, and strain.
- To explain size-dependent phase transformation behavior in nanoparticles.
Main Methods:
- Developed a phase-field theory incorporating surface energy, chemical reactions, and coherency strain.
- Analyzed the interplay between chemical energy gain (area-dependent) and elastic energy penalty (volume-dependent).
- Simulated phase separation in realistic nanoparticle geometries, specifically for LiFePO4.
Main Results:
- Nucleation barriers decrease with increasing area-to-volume ratio, vanishing below a critical size.
- Nanoparticles transform in order of increasing size, with smallest particles remaining homogeneous.
- The model accurately predicts experimental data for LiFePO4 nucleation barriers without adjustable parameters.
Conclusions:
- Nanoparticle phase transformation is critically dependent on particle size and surface/elastic properties.
- The developed theory provides a framework for designing nanostructures with tailored phase behavior.
- This work has implications for energy storage materials and other applications requiring controlled phase transitions in nanomaterials.
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