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Ligand-Mediated Nucleation and Growth of Palladium Metal Nanoparticles
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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.

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|June 3, 2016
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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.

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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.