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Updated: May 3, 2026

Ligand-Mediated Nucleation and Growth of Palladium Metal Nanoparticles
Published on: June 25, 2018
A generalized diffusion model for growth of nanoparticles synthesized by colloidal methods
Tianlong Wen1, Lucien N Brush1, Kannan M Krishnan1
1Department of Materials Science and Engineering, University of Washington, Box 352120, Seattle, WA 98195-2120, USA.
A new nanoparticle growth model predicts colloidal nanoparticle synthesis. Achieving monodisperse nanoparticles is possible with controlled diffusion and surface reaction rates, enabling precise fabrication for various applications.
Area of Science:
- Materials Science
- Chemical Engineering
- Physical Chemistry
Background:
- Controlling nanoparticle size and uniformity is crucial for advanced applications.
- Existing models often rely on simplifying assumptions about diffusion layers.
Purpose of the Study:
- To develop a comprehensive nanoparticle growth model without prior assumptions.
- To predict and guide the synthesis of monodisperse colloidal nanoparticles.
Main Methods:
- The model integrates Fick's law of diffusion, mass conservation, and the Gibbs-Thomson equation.
- It bridges the gap between diffusion-controlled and adsorption-controlled growth regimes.
Main Results:
- The model accurately predicts nanoparticle growth, reducing to existing models in limiting cases.
- Monodispersity is achievable under specific conditions of monomer diffusion and surface reaction rates, demonstrating 'growth focusing'.
Conclusions:
- This model offers new insights into nanoparticle growth mechanisms.
- It establishes critical conditions for fabricating monodisperse nanoparticles for diverse technological uses.
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