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11:54
Ligand-Mediated Nucleation and Growth of Palladium Metal Nanoparticles
Published on: June 25, 2018
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Kinetic theory of diffusion-limited nucleation
T Philippe1, M Bonvalet2, D Blavette3
1Physique de la Matière Condensée, Ecole Polytechnique, CNRS, 91128 Palaiseau, France.
The Journal of Chemical Physics
|June 3, 2016
Summary
This study simplifies binary nucleation by showing composition is irrelevant at critical size. Nucleation kinetics are then analyzed in size space, yielding a new condensation rate for bulk diffusion-limited growth.
Area of Science:
- Physical Chemistry
- Chemical Physics
- Thermodynamics
Background:
- Binary nucleation is a fundamental process in phase transitions.
- Understanding nucleation kinetics is crucial for various scientific and industrial applications.
- Previous models often simplified the interplay between size and composition.
Purpose of the Study:
- To investigate binary nucleation within the {R,c} size and composition space.
- To simplify the analysis of nucleation kinetics by reducing the number of variables.
- To develop a new expression for condensation rate under bulk diffusion-limited growth.
Main Methods:
- Utilizing the multivariable theory formalism.
- Analyzing the Gibbs energy curvature with respect to composition.
- Applying macroscopic kinetics to derive condensation rate expressions.
Main Results:
- The composition variable simplifies out for large Gibbs energy curvature.
- Critical nuclei possess a critical composition independent of surface tension.
- A new general expression for bulk diffusion-limited condensation rate was derived.
- This result contrasts with the classical interface-limited regime.
Conclusions:
- Binary nucleation analysis can be effectively reduced to size space under specific conditions.
- The derived condensation rate provides a new framework for diffusion-limited nucleation.
- The findings offer insights applicable to multicomponent solutions and phase transitions.
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