Model of Nanocrystal Formation in Solution by Burst Nucleation and Diffusional Growth
- 4 December 2007
- journal article
- research article
- Published by American Chemical Society (ACS) in Langmuir
- Vol. 24 (1), 26-35
- https://doi.org/10.1021/la702097g
Abstract
The phenomenon of burst nucleation in solution, in which a period of apparent chemical inactivity is followed by a sudden and explosive growth of nucleated particles from a solute species, has been given a widely accepted qualitative explanation by LaMer and co-workers. Here, we present a model with the assumptions of instantaneous rethermalization below the critical nucleus size and irreversible diffusive growth above the critical size, which for the first time formulates LaMer's explanation of burst nucleation in a manner allowing quantitative calculations. The behavior of the model at large times, t, is derived with the result that the average cluster size, as measured by the number of atoms, grows ∼t, while the width of the cluster distribution grows ∼. We develop an effective numerical scheme to integrate the equations of the model and compare the asymptotic expressions to results from numerical simulation. Finally, we discuss the physical effects which cause real nucleation processes in solution to deviate from the behavior of the model.Keywords
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This publication has 35 references indexed in Scilit:
- Chemistry and Properties of Nanocrystals of Different ShapesChemical Reviews, 2005
- Formation of High-Quality CdS and Other II-VI Semiconductor Nanocrystals in Noncoordinating Solvents: Tunable Reactivity of MonomersAngewandte Chemie-International Edition, 2002
- Formation of High-Quality CdTe, CdSe, and CdS Nanocrystals Using CdO as PrecursorJournal of the American Chemical Society, 2000
- Novel Synthesis of Monodispersed Pd/Ni NanoparticlesChemistry of Materials, 1999
- Mechanism of Formation of Monodispersed Colloids by Aggregation of Nanosize PrecursorsJournal of Colloid and Interface Science, 1999
- PARTICLE SIZE DISTRIBUTION IN MONODISPERSE SULFUR HYDROSOLS1The Journal of Physical Chemistry, 1960
- Nucleation in Phase Transitions.Industrial & Engineering Chemistry, 1952
- A study of the nucleation and growth processes in the synthesis of colloidal goldDiscussions of the Faraday Society, 1951
- Theory, Production and Mechanism of Formation of Monodispersed HydrosolsJournal of the American Chemical Society, 1950
- Kinetische Behandlung der Keimbildung in übersättigten DämpfenAnnalen der Physik, 1935