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Efficient Calculation Methods for the Diffusion Coefficient of Interstitial Solutes in Dilute Alloys

1
Institute of Ion Beam Physics and Materials Research, Helmholtz-Zentrum Dresden–Rossendorf, 01328 Dresden, Germany
2
Institut für Festkörper- und Materialphysik, Technische Universität Dresden, 01062 Dresden, Germany
*
Author to whom correspondence should be addressed.
Materials 2019, 12(9), 1491; https://doi.org/10.3390/ma12091491
Received: 2 April 2019 / Revised: 24 April 2019 / Accepted: 5 May 2019 / Published: 8 May 2019
(This article belongs to the Special Issue Multi-scale Modeling of Materials and Structures)
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Abstract

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. View Full-Text
Keywords: diffusion coefficient; interstitial solute; dilute alloy; efficient calculation; first-principle calculations; atomistic kinetic Monte Carlo simulations diffusion coefficient; interstitial solute; dilute alloy; efficient calculation; first-principle calculations; atomistic kinetic Monte Carlo simulations
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Wang, X.; Faßbender, J.; Posselt, M. Efficient Calculation Methods for the Diffusion Coefficient of Interstitial Solutes in Dilute Alloys. Materials 2019, 12, 1491.

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