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We have investigated the dissolution, diffusion, and retention of hydrogen (H) in tungsten-rhenium (W-Re) sigma (σ) phase using a first-principles method and thermodynamic models, in order to explore the influence of Re-rich precipitation on H behaviors in W. Taking the most stable W-Re σ phase (W-33.3 at.% Re) as an example, it is found that the solution energy of H at most interstitial sites (>80%) in W-Re σ phase is much lower than that in pure W. Specifically, the H solution energy at most stable interstitial site in W-Re σ phase is only 0.47 eV, ~54% lower than that in pure W. This can be attributed to that W-Re σ phase provides the larger available volume for interstitial H than the pure W, weakening the W-H repulsive interaction. Moreover, it has been demonstrated that this trend is almost independent on the Re concentration in W-Re σ phase. We have further determined the interaction between H atoms and mono-vacancy in W-Re σ phase based on the calculation of H trapping energies and the Polanyi-Wigner equation. The W-type and Re-type vacancy can accommodate 10 and 5 H atoms at room temperature (RT) in σ phase, respectively, and thus the average trapping capability of vacancy for H in σ phase is stronger than that in pure W (~6 H atoms at RT). Consequently, our calculations reveal that the Re-rich precipitation (both interstitial and vacancy sites) can serve as the strong trapping centers for H in W, significantly enhancing the H retention, which is entirely different from the negative effect of dispersed-Re/small Re clusters.

Here, we review recent computational findings focused on the behavior of transmutation elements (TEs) in Tungsten (W). W is chosen as one of the most promising materials for the divertor armor and plasma facing components in future fusion reactors. However, W in exposure of fusion neutrons can cause the transmutation reaction and produce TEs, such as rhenium and osmium. The presence of TEs can change chemical component of materials, and therefore inevitably influence the microstructure and properties of W materials. Multiscale simulation methods have been employed to investigate the dissolution, diffusion and radiation induced precipitation of TEs, as well as their effects on the behaviors of hydrogen isotopes in W. This systematic review can provide an insightful understanding to estimate the influence of TEs on the properties and performance of W-based materials. Keywords: Tungsten, Transmutation elements, Radiation induced precipitation, Point defects, Hydrogen

The influence of rhenium (Re) on helium (He) evolution in tungsten (W) with different Re distribution is investigated using the first-principles calculations in combination with thermodynamic models. It is found that the He behaviors in W-Re system are closely related to the Re distribution. For the dispersed distribution of Re in W, it is found that a single Re atom only has slight effect on the behaviors of a He atom due to the weak interaction of Re-He1. Interestingly, with the increasing of He numbers, the binding energy between a single Re and He clusters increases rapidly from 0.03 eV for Re-He1 to 0.72 eV for Re-He4. Such high binding energy indicates the strong attraction of Re with He clusters in W. This can be rationalized by the large lattice distortion induced by He clusters, which reduces the electron density of He-occupied position and leads to the transition of neighboring Re/W atom from a substitutional site to an interstitial site. Because of the strong attraction of Re with He clusters, the Re addition effectively reduce the mobility of He clusters in W. As for the aggregated Re distribution, the He trapping capability of vacancy is weakened by Re clusters. These results are well consistent with the experimental observed suppressing effects of Re on the He-induced morphology in W. Further, based on the He behaviors in W-Re σ phase, we suppose that He will segregate from bulk W to Re-rich precipitates, thus enhancing the formation of He clusters. Consequently, our calculations suggest that the distribution of Re plays a key role on the He behaviors in W, which provides a good reference for the design and development of W-based alloys.

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.