Analysis of nucleation and growth with the model for diffusion-controlled precipitation reactions based on the extended volume concept
Analysis of nucleation and growth with the model for diffusion-controlled precipitation reactions based on the extended volume concept
Recently (M.J. Starink, Thermochim Acta 596, 2014, 109-119) a new model for diffusion-controlled precipitation reactions based on the extended volume concept was derived. The model leads to an analytical equation describing the relation between the fraction transformed, alfa, the reaction time, t, and the reaction exponent, n, as:
alfa = {exp(-2(kt)^n)-1}/(2(kt)^n) + 1
In the present work, new analysis methods are derived which allow determination of the reaction exponent n. The new methods are applied to analysis of nucleation and it is shown that generally during a reaction with growth in 3 dimensions there are only 2 modes: either the nucleation rate in the extended volume is constant or it is negligibly small. A new approach to the interaction of diffusion-controlled growth and nucleation is proposed to rationalise these findings. The exponential decay of the average solute content predicted by the new model is further analysed and compared with a range of experimental data and contrasted with other models. The new model is found to correspond excellently to these solute decay data.
precipitation kinetics, phase-transformation kinetics, diffusion, nucleation and growth, impingement
250-255
Starink, M.J.
fe61a323-4e0c-49c7-91f0-4450e1ec1e51
5 May 2015
Starink, M.J.
fe61a323-4e0c-49c7-91f0-4450e1ec1e51
Starink, M.J.
(2015)
Analysis of nucleation and growth with the model for diffusion-controlled precipitation reactions based on the extended volume concept.
Journal of Alloys and Compounds, 630, .
(doi:10.1016/j.jallcom.2015.01.045).
Abstract
Recently (M.J. Starink, Thermochim Acta 596, 2014, 109-119) a new model for diffusion-controlled precipitation reactions based on the extended volume concept was derived. The model leads to an analytical equation describing the relation between the fraction transformed, alfa, the reaction time, t, and the reaction exponent, n, as:
alfa = {exp(-2(kt)^n)-1}/(2(kt)^n) + 1
In the present work, new analysis methods are derived which allow determination of the reaction exponent n. The new methods are applied to analysis of nucleation and it is shown that generally during a reaction with growth in 3 dimensions there are only 2 modes: either the nucleation rate in the extended volume is constant or it is negligibly small. A new approach to the interaction of diffusion-controlled growth and nucleation is proposed to rationalise these findings. The exponential decay of the average solute content predicted by the new model is further analysed and compared with a range of experimental data and contrasted with other models. The new model is found to correspond excellently to these solute decay data.
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Starink JALCOM 2015 avs.pdf
- Author's Original
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Starink JALCOM 2015.pdf
- Accepted Manuscript
More information
Accepted/In Press date: 10 January 2015
e-pub ahead of print date: 17 January 2015
Published date: 5 May 2015
Keywords:
precipitation kinetics, phase-transformation kinetics, diffusion, nucleation and growth, impingement
Organisations:
Engineering Mats & Surface Engineerg Gp
Identifiers
Local EPrints ID: 373052
URI: http://eprints.soton.ac.uk/id/eprint/373052
ISSN: 0925-8388
PURE UUID: ebd2d224-8584-41de-965a-cdae29cd948a
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Date deposited: 06 Jan 2015 13:57
Last modified: 14 Mar 2024 18:47
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