α-Al2O3(0001)基片表面结构与能量研究

对α-Al₂O₃(0001)晶体表层三种不同终止原子结构的计算模型， 在三维周期边界条件下 的κ空间中，采用超软赝势平面波函数描述多电子体系.应用基于密度泛函理论的局域密度 近似，计算了不同表层结构的体系能量，表明最表层终止原子为单层Al的表面结构最稳定. 对由10个原子组成的菱形原胞进行了结构优化，得到晶胞参数值(a₀＝0.48178n m)与实验 报道值误差小于1.3%.进一步计算了超晶胞(2×2)表面弛豫，弛豫后原第2层O原子层成为最 表层； 对不同表层O，Al原子最外层电子进行了布居分析，表面电子有更大的概率被定域在 O原子的周围，表面明显地表现出O原子的电子表面态. 关键词： 2O₃(0001)')" href="#">α-Al₂O₃(0001) 超软赝势 表面结构 表面态

Study on the structure and energy of the (0001) surface of α-Al2O3 substrate

There are three different structures of the α-Al₂O₃(0001) crystal surface b ecause different atoms are terminated on the outermost layer. Our calculations a re based on the density functional theory in local density approximation, and on ultra-soft pseudopotential methods, with the valence orbital expanded in plane- wave by using three-dimensional periodic boundary conditions in κ-space, first ly, the calculation result is that α-Al₂O₃(0001) crystal surface structure which the outermost layer is terminated by a single layer of Al atoms is much mo re stable than the other two structures. Secondly, a rhombohedral primitive cell is employed to perform cell optimizations, with ten atoms in the unit cell, and the calculated equilibrium parameters are:a₀＝0.48178nm,γ＝120.16, which are in excellent agreement with recent experimental values(a₀＝0.47591nm ),with a difference of less than 1.3%. Moreover, our calculations are performed with a su per-cell slab model in vacuum environment, in which the outermost layer is termi nated by single Al atoms. By investigating the four-layer relaxation and Al-O a toms population of the surface, we obtain results that the top single Al layer i s an inward relaxation of 0.0792 nm—0.098nm, that is, the second-layer O atoms are turned into the top layer,and the top O and Al atoms population analysis sho w that the valence electrons are concentrated on the surface oxygen ions with a greater probability,it is obvious that the α-Al₂O₃(0001) crystal surface ap pears in the O-surface state,which is discussed from the microstructure of α-Al ₂O₃(0001)crystals in details.