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Ligand-Mediated Nucleation and Growth of Palladium Metal Nanoparticles
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Universality in diffusion-controlled nucleation and growth.

Alexei V Tkachenko1

  • 1Center for Functional Nanomaterials, Brookhaven National Laboratory, Upton, New York 11973, USA.

The Journal of Chemical Physics
|January 15, 2025
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Summary
This summary is machine-generated.

This study explores diffusion-controlled condensation, revealing a universal regime where droplet size distribution becomes invariant. An accurate analytic form for this final distribution is derived, simplifying complex condensation dynamics.

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Area of Science:

  • Physical Chemistry
  • Materials Science
  • Thermodynamics

Background:

  • Condensation processes are fundamental in various natural and industrial systems.
  • Understanding nucleation and growth dynamics is crucial for controlling material properties.
  • Gradual parameter changes, like cooling, influence the evolution of condensed phases.

Purpose of the Study:

  • To investigate nucleation and growth in diffusion-controlled condensation under gradual parameter changes.
  • To identify and characterize a universal regime in droplet size distribution.
  • To derive an accurate analytic form for the final droplet size distribution.

Main Methods:

  • Simulations of diffusion-controlled condensation.
  • Analysis of systems undergoing gradual cooling.
  • Mathematical derivation of droplet size distribution in a universal regime.

Main Results:

  • A universal regime is identified when the Gibbs-Thompson effect becomes negligible.
  • In this regime, the final droplet size distribution exhibits invariance under parameter rescaling.
  • An approximate and highly accurate analytic form for the final droplet size distribution was obtained.

Conclusions:

  • The identified universal regime simplifies the understanding of condensation dynamics.
  • The derived analytic form provides a powerful tool for predicting final droplet sizes.
  • This work offers insights into controlling material formation through condensation processes.