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Determining the nucleation rate from the dimer growth probability
Joop H ter Horst1, Dimo Kashchiev
1Laboratory for Process Equipment, Delft University of Technology, The Netherlands. J.H.terHorst@wbmt.tudelft.nl
The Journal of Chemical Physics
|January 6, 2006
Summary
A novel method determines nucleation rate (J) using dimer growth probability (P2). This simulation-based approach reveals classical nucleation theory overestimates rates, providing accurate nucleation dynamics for materials science.
Area of Science:
- Physical Chemistry
- Materials Science
- Computational Physics
Background:
- Nucleation rate (J) is crucial for phase transitions.
- Existing methods for determining J can be computationally intensive or less accurate.
- Understanding nucleation dynamics is key for controlling material properties.
Purpose of the Study:
- To propose a new, simulation-friendly method for determining the stationary one-component nucleation rate (J).
- To validate this method using kinetic Monte Carlo simulations.
- To compare simulation results with classical nucleation theory predictions.
Main Methods:
- Utilizing an exact formula relating nucleation rate (J) to dimer growth probability (P2).
- Employing kinetic Monte Carlo (KMC) simulations for two-dimensional (2D) nucleation.
- Simulating nucleation on the (100) face of a Kossel crystal.
Main Results:
- The proposed method accurately determines J over 11 orders of magnitude.
- Classical nucleation theory overestimates simulated J values by an s-dependent factor.
- 2D nucleus size is well-described by classical and corrected Gibbs-Thomson equations.
Conclusions:
- The new J-P2 relationship offers a robust approach for nucleation studies.
- Discrepancies highlight limitations of classical nucleation theory at high supersaturation.
- The study provides accurate nucleation dynamics for 2D systems.