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Efficient Calculation Methods for the Diffusion Coefficient of Interstitial Solutes in Dilute Alloys
In the example of oxygen diffusion in dilute ferritic iron alloys it is shown that the calculation of the diffusion coefficient can be separated into a contribution related to the migration in the interaction region between oxygen and the substitutional solute and a part related to diffusion in pure...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2019
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6539633/ https://www.ncbi.nlm.nih.gov/pubmed/31071934 http://dx.doi.org/10.3390/ma12091491 |
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author | Wang, Xiaoshuang Faßbender, Jürgen Posselt, Matthias |
author_facet | Wang, Xiaoshuang Faßbender, Jürgen Posselt, Matthias |
author_sort | Wang, Xiaoshuang |
collection | PubMed |
description | In the example of oxygen diffusion in dilute ferritic iron alloys it is shown that the calculation of the diffusion coefficient can be separated into a contribution related to the migration in the interaction region between oxygen and the substitutional solute and a part related to diffusion in pure body centered cubic (bcc) Fe. The corresponding diffusion times are determined by analytical expressions using Density-Functional-Theory (DFT) data for the respective binding energies. The diffusion coefficient in the interaction region must be determined by atomistic kinetic Monte Carlo (AKMC) simulations with DFT values for the migration barriers as input data. In contrast to previous calculations, AKMC simulation must only be performed for one concentration of the substitutional solute, and the obtained results can be employed to obtain data for other concentrations in a very efficient manner. This leads to a tremendous decrease of computational efforts. Under certain conditions it is even possible to use analytical expressions where merely DFT data for the binding energies are needed. The limits of applicability of the presented calculation procedures are discussed in detail. The methods presented in this work can be generalized to interstitial diffusion in other host materials with small concentrations of substitutional solutes. |
format | Online Article Text |
id | pubmed-6539633 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-65396332019-06-05 Efficient Calculation Methods for the Diffusion Coefficient of Interstitial Solutes in Dilute Alloys Wang, Xiaoshuang Faßbender, Jürgen Posselt, Matthias Materials (Basel) Article In the example of oxygen diffusion in dilute ferritic iron alloys it is shown that the calculation of the diffusion coefficient can be separated into a contribution related to the migration in the interaction region between oxygen and the substitutional solute and a part related to diffusion in pure body centered cubic (bcc) Fe. The corresponding diffusion times are determined by analytical expressions using Density-Functional-Theory (DFT) data for the respective binding energies. The diffusion coefficient in the interaction region must be determined by atomistic kinetic Monte Carlo (AKMC) simulations with DFT values for the migration barriers as input data. In contrast to previous calculations, AKMC simulation must only be performed for one concentration of the substitutional solute, and the obtained results can be employed to obtain data for other concentrations in a very efficient manner. This leads to a tremendous decrease of computational efforts. Under certain conditions it is even possible to use analytical expressions where merely DFT data for the binding energies are needed. The limits of applicability of the presented calculation procedures are discussed in detail. The methods presented in this work can be generalized to interstitial diffusion in other host materials with small concentrations of substitutional solutes. MDPI 2019-05-08 /pmc/articles/PMC6539633/ /pubmed/31071934 http://dx.doi.org/10.3390/ma12091491 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Article Wang, Xiaoshuang Faßbender, Jürgen Posselt, Matthias Efficient Calculation Methods for the Diffusion Coefficient of Interstitial Solutes in Dilute Alloys |
title | Efficient Calculation Methods for the Diffusion Coefficient of Interstitial Solutes in Dilute Alloys |
title_full | Efficient Calculation Methods for the Diffusion Coefficient of Interstitial Solutes in Dilute Alloys |
title_fullStr | Efficient Calculation Methods for the Diffusion Coefficient of Interstitial Solutes in Dilute Alloys |
title_full_unstemmed | Efficient Calculation Methods for the Diffusion Coefficient of Interstitial Solutes in Dilute Alloys |
title_short | Efficient Calculation Methods for the Diffusion Coefficient of Interstitial Solutes in Dilute Alloys |
title_sort | efficient calculation methods for the diffusion coefficient of interstitial solutes in dilute alloys |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6539633/ https://www.ncbi.nlm.nih.gov/pubmed/31071934 http://dx.doi.org/10.3390/ma12091491 |
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