Strain Dependence of Energetics and Kinetics of Vacancy in Tungsten

We investigate the influence of hydrostatic/biaxial strain on the formation, migration, and clustering of vacancy in tungsten (W) using a first-principles method, and show that the vacancy behaviors are strongly dependent on the strain. Both a monovacancy formation energy and a divacancy binding ene...

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Main Authors: Zhong-Zhu Li, Yu-Hao Li, Qing-Yuan Ren, Fang-Fei Ma, Fang-Ya Yue, Hong-Bo Zhou, Guang-Hong Lu
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Materials
Subjects:
Online Access:https://www.mdpi.com/1996-1944/13/15/3375
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author Zhong-Zhu Li
Yu-Hao Li
Qing-Yuan Ren
Fang-Fei Ma
Fang-Ya Yue
Hong-Bo Zhou
Guang-Hong Lu
author_facet Zhong-Zhu Li
Yu-Hao Li
Qing-Yuan Ren
Fang-Fei Ma
Fang-Ya Yue
Hong-Bo Zhou
Guang-Hong Lu
author_sort Zhong-Zhu Li
collection DOAJ
description We investigate the influence of hydrostatic/biaxial strain on the formation, migration, and clustering of vacancy in tungsten (W) using a first-principles method, and show that the vacancy behaviors are strongly dependent on the strain. Both a monovacancy formation energy and a divacancy binding energy decrease with the increasing of compressive hydrostatic/biaxial strain, but increase with the increasing of tensile strain. Specifically, the binding energy of divacancy changes from negative to positive when the hydrostatic (biaxial) tensile strain is larger than 1.5% (2%). These results indicate that the compressive strain will facilitate the formation of monovacancy in W, while the tensile strain will enhance the attraction between vacancies. This can be attributed to the redistribution of electronic states of W atoms surrounding vacancy. Furthermore, although the migration energy of the monovacancy also exhibits a monotonic linear dependence on the hydrostatic strain, it shows a parabola with an opening down under the biaxial strain. Namely, the vacancy mobility will always be promoted by biaxial strain in W, almost independent of the sign of strain. Such unexpected anisotropic strain-enhanced vacancy mobility originates from the Poisson effect. On the basis of the first-principles results, the nucleation of vacancy clusters in strained W is further determined with the object kinetic Monte Carlo simulations. It is found that the formation time of tri-vacancy decrease significantly with the increasing of tensile strain, while the vacancy clusters are not observed in compressively strained W, indicating that the tensile strain can enhance the formation of voids. Our results provide a good reference for understanding the vacancy behaviors in W.
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spelling doaj.art-b0ee24201dfe4bfe99e2f7fc2d6a34322023-11-20T08:29:20ZengMDPI AGMaterials1996-19442020-07-011315337510.3390/ma13153375Strain Dependence of Energetics and Kinetics of Vacancy in TungstenZhong-Zhu Li0Yu-Hao Li1Qing-Yuan Ren2Fang-Fei Ma3Fang-Ya Yue4Hong-Bo Zhou5Guang-Hong Lu6Department of Physics, Beihang University, Beijing 100191, ChinaDepartment of Physics, Beihang University, Beijing 100191, ChinaDepartment of Physics, Beihang University, Beijing 100191, ChinaDepartment of Physics, Beihang University, Beijing 100191, ChinaDepartment of Physics, Beihang University, Beijing 100191, ChinaDepartment of Physics, Beihang University, Beijing 100191, ChinaDepartment of Physics, Beihang University, Beijing 100191, ChinaWe investigate the influence of hydrostatic/biaxial strain on the formation, migration, and clustering of vacancy in tungsten (W) using a first-principles method, and show that the vacancy behaviors are strongly dependent on the strain. Both a monovacancy formation energy and a divacancy binding energy decrease with the increasing of compressive hydrostatic/biaxial strain, but increase with the increasing of tensile strain. Specifically, the binding energy of divacancy changes from negative to positive when the hydrostatic (biaxial) tensile strain is larger than 1.5% (2%). These results indicate that the compressive strain will facilitate the formation of monovacancy in W, while the tensile strain will enhance the attraction between vacancies. This can be attributed to the redistribution of electronic states of W atoms surrounding vacancy. Furthermore, although the migration energy of the monovacancy also exhibits a monotonic linear dependence on the hydrostatic strain, it shows a parabola with an opening down under the biaxial strain. Namely, the vacancy mobility will always be promoted by biaxial strain in W, almost independent of the sign of strain. Such unexpected anisotropic strain-enhanced vacancy mobility originates from the Poisson effect. On the basis of the first-principles results, the nucleation of vacancy clusters in strained W is further determined with the object kinetic Monte Carlo simulations. It is found that the formation time of tri-vacancy decrease significantly with the increasing of tensile strain, while the vacancy clusters are not observed in compressively strained W, indicating that the tensile strain can enhance the formation of voids. Our results provide a good reference for understanding the vacancy behaviors in W.https://www.mdpi.com/1996-1944/13/15/3375vacancyhydrostatic/biaxial strainenergetics and kineticstungsten
spellingShingle Zhong-Zhu Li
Yu-Hao Li
Qing-Yuan Ren
Fang-Fei Ma
Fang-Ya Yue
Hong-Bo Zhou
Guang-Hong Lu
Strain Dependence of Energetics and Kinetics of Vacancy in Tungsten
Materials
vacancy
hydrostatic/biaxial strain
energetics and kinetics
tungsten
title Strain Dependence of Energetics and Kinetics of Vacancy in Tungsten
title_full Strain Dependence of Energetics and Kinetics of Vacancy in Tungsten
title_fullStr Strain Dependence of Energetics and Kinetics of Vacancy in Tungsten
title_full_unstemmed Strain Dependence of Energetics and Kinetics of Vacancy in Tungsten
title_short Strain Dependence of Energetics and Kinetics of Vacancy in Tungsten
title_sort strain dependence of energetics and kinetics of vacancy in tungsten
topic vacancy
hydrostatic/biaxial strain
energetics and kinetics
tungsten
url https://www.mdpi.com/1996-1944/13/15/3375
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