Department of Physics, Beihang University, Beijing 100191, People's Republic of China.
J Phys Condens Matter. 2013 Mar 6;25(9):095001. doi: 10.1088/0953-8984/25/9/095001. Epub 2013 Jan 11.
We have studied the atomic structure and energetic stability of helium (He) and He-vacancy clusters in an iron (Fe) Σ5(310)/[001] grain boundary (GB) using a first-principles method. The He and He-vacancy clusters in the Fe GB are shown to exhibit high-symmetry structures. The equilibrium He-He distance in the clusters is ~1.70 Å, much smaller than 2.80 Å in the vacuum or 2.94 Å in a face centred cubic (fcc) crystal, indicating the attractive interaction between the He atoms due to the presence of Fe. The charge density surrounding He is demonstrated to decrease with an increasing number of He atoms in the clusters, leading to a positive binding energy of a He atom to the clusters. This suggests He and He-vacancy clusters can energetically trap more He atoms, which is responsible for the growth of the He-related clusters (He and He-vacancy clusters) and thus the He bubbles in the GB. The binding energy of an interstitial He atom to the He-related clusters is found generally lower in the GB than in a bcc crystal. Besides, the binding strengths of small He clusters to the GB and to a vacancy in a bcc matrix are compared, and the latter shows greater trapping strength to an interstitial He and a He(2) cluster. The magnetism of the Fe atoms near the GB as well as its variation caused by the He-related clusters is also investigated. The local magnetic moment variation of the Fe atoms in the system is enhanced to a different extent, depending on the size of the He-related clusters.
我们使用第一性原理方法研究了氦(He)和 He-空位团簇在铁(Fe)Σ5(310)/[001]晶界(GB)中的原子结构和能量稳定性。结果表明,Fe GB 中的 He 和 He-空位团簇具有高对称性结构。团簇中 He-He 平衡距离约为 1.70 Å,远小于真空中的 2.80 Å 或面心立方(fcc)晶体中的 2.94 Å,表明由于 Fe 的存在,He 原子之间存在吸引力相互作用。结果还表明,He 周围的电荷密度随团簇中 He 原子数量的增加而减小,导致 He 原子对团簇的结合能为正。这表明 He 和 He-空位团簇可以在能量上捕获更多的 He 原子,这是 He 相关团簇(He 和 He-空位团簇)以及因此在 GB 中 He 气泡生长的原因。发现间隙 He 原子与 He 相关团簇的结合能在 GB 中通常低于 bcc 晶体。此外,还比较了小 He 团簇与 GB 和 bcc 基体空位的结合强度,后者对间隙 He 和 He(2)团簇具有更大的捕获强度。还研究了 GB 附近 Fe 原子的磁性及其由 He 相关团簇引起的变化。系统中 Fe 原子的局域磁矩变化程度不同,这取决于 He 相关团簇的大小。