Abstract:First-principles calculations within density functional theory have been performed to investigate the behaviors of helium inα-zirconium. The most favorable interstitial site for He inα-Zr is not an ordinary tetrahedral or octahedral site, but a basal octahedral site with a formation energy as low as 2.40 eV. The formation energy reduces to 1.25 eV in the presence of preexisting vacancies. The analysis on the density of states and the charge density has been carried out. In addition, the influences of He and sm… Show more
“…The most significant modifications were observed at around −1.05 eV and −6.70 eV, whereas a new peak has appeared at around −5.93 eV, which is mainly due to the admixture of He s and Pd d orbitals with a small contribution from tritium s orbitals and Pd s and p orbitals. A DFT study by Zheng et al also found a peak at −1.00 eV for He-s orbitals [31], and the repulsive interaction between Pd d and He s states might be the reason for the modification of the DOS at this energy level [29].…”
Density functional theory (DFT) calculations have been employed to calculate the energetics, structures and migration behaviour of helium in palladium tritides. Increasing the tritium concentration in palladium leads to a decrease in the formation energies of helium clusters, indicating that He clusters can form in the lattices. The calculated results show less lattice expansion in Pd defect-containing lattices compared to the perfect lattice owing to smaller lattice distortions. The lowest energy migration path for helium diffusion is along octahedral-tetrahedral-octahedral sites but the energy barrier increases with increasing tritium concentration. Repulsive interactions occur between Pd d and He s orbitals, suggesting that displacement of the metal atoms in the lattice leads to growth of pressure inside the lattices. This process may change the microstructural properties leading to the degradation of the material.
“…The most significant modifications were observed at around −1.05 eV and −6.70 eV, whereas a new peak has appeared at around −5.93 eV, which is mainly due to the admixture of He s and Pd d orbitals with a small contribution from tritium s orbitals and Pd s and p orbitals. A DFT study by Zheng et al also found a peak at −1.00 eV for He-s orbitals [31], and the repulsive interaction between Pd d and He s states might be the reason for the modification of the DOS at this energy level [29].…”
Density functional theory (DFT) calculations have been employed to calculate the energetics, structures and migration behaviour of helium in palladium tritides. Increasing the tritium concentration in palladium leads to a decrease in the formation energies of helium clusters, indicating that He clusters can form in the lattices. The calculated results show less lattice expansion in Pd defect-containing lattices compared to the perfect lattice owing to smaller lattice distortions. The lowest energy migration path for helium diffusion is along octahedral-tetrahedral-octahedral sites but the energy barrier increases with increasing tritium concentration. Repulsive interactions occur between Pd d and He s orbitals, suggesting that displacement of the metal atoms in the lattice leads to growth of pressure inside the lattices. This process may change the microstructural properties leading to the degradation of the material.
“…Recently, several density functional theory (DFT) calculations have been conducted to investigate the effects of vacancy on the mechanical properties of Zr. Zheng et al [15] calculated the elastic constants of Zr with a single vacancy. They found an increase in C11, C33, C44 and a decrease in C12 and C13.…”
“…α-Zr crystallizes in a close-packed hexagonal structure with a space group of P 63/ mmc . We optimized the unit cell structure using experimental geometry from ref (see Table ). Our calculated values of the lattice parameters were a = 3.249 Å and c = 5.136 Å, and they are in good agreement with the experimentally measured values: a = 3.221 Å and c = 5.141 Å and the previously calculated values by Domain and Jomard .…”
Section: Resultsmentioning
confidence: 99%
“…Unit cell structure of α-Zr with two Zr atoms (Zr1 and Zr2, in green) (a); tetragonal and octagonal sites in a unit cell (b). Octahedral and tetrahedral sites as represented, respectively, by O1, O2 and T1, T2, T3, T4 are shown explicitly (c) in which the data were obtained from ref .…”
Zirconium alloys (e.g., zircaloy-4) are used as tritium ( 3 H) getter materials in tritium-producing burnable absorber rods (TPBARs) owing to their ability to capture 3 H and chemically convert them into metal hydrides. Understanding of 3 H diffusion mechanisms in zircaloy is crucial for the optimal design of material performance in nuclear technology. Here, we perform firstprinciples density functional theory calculations to study the 3 H diffusion mechanism in pure and impure Zr with a low concentration of tin (Sn) atoms to determine the impact of the presence of Sn on the movement of 3 H atoms through the material. First, we calculated the diffusion barriers for 3 H in pure Zr by taking different migration pathways. We then introduced a low concentration of Sn impurity and systematically explored the impurity effect on the diffusion barriers for 3 H. Using our calculated diffusion energy barriers, we further obtained the diffusion coefficients and analyzed the results by comparing them with the experimental and previously calculated values. A diffusion coefficient of the order of 10 −8 m 2 /s is predicted. We also found that the presence of a Sn impurity could reduce the diffusivity up to 4 orders of magnitude. Our results could serve as guidelines for further experimental investigations.
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