Structure-energy correlation for grain boundaries in f.c.c. metals—II. Boundaries on the (110) and (113) planes

D. Wolf
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Abstract

The zero-temperature energies and equilibrium volume expansions of point-defect free grain boundaries (GBs) on the third and fourth densest planes of f.c.c. Cu have been determined using an Embedded-Atom-Method (EAM) and a Lennard-Jones (LJ) potential. It is found that the energies and volume expansions of the (110) and (113) boundaries are typically about 50% larger than for the (100) boundaries and about three to four times those of the (111) boundaries investigated earlier. This corelation between planar density, i.e. interplanar spacing, and GB energy as well as volume expansion is shown to be closely related to the structural disorder in the interface region. A practically linear relationship between GB energy and volume expansion is observed. Based on the special geometry and properties of the symmetrical tilt configuration on a given lattice plane (which is obtained for a twist angle of 180°), it is proposed to consider these planar defects as generalized (i.e. inverted) stacking faults rather than high-angle grain boundaries.

氟化金属中晶界的结构-能量关联。(110)和(113)平面上的边界
用嵌入原子法(EAM)和Lennard-Jones (LJ)势测定了氟化铜第三和第四密度平面上点缺陷自由晶界(GBs)的零温度能和平衡体积膨胀。发现(110)和(113)边界的能量和体积膨胀通常比(100)边界大50%左右,是前面研究的(111)边界的三到四倍。这种平面密度(即面间距)与GB能量和体积膨胀之间的相关性与界面区域的结构无序性密切相关。在GB能量和体积膨胀之间观察到几乎是线性关系。基于给定晶格平面上对称倾斜结构的特殊几何形状和性质(扭转角度为180°时),提出将这些平面缺陷视为广义(即倒置)堆积缺陷,而不是高角度晶界。
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