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In situ high-temperature scanning tunneling microscopy studies of two-dimensional TiN island coarsening kinetics on TiN(001)

机译:TiN(001)上二维TiN岛粗化动力学的原位高温扫描隧道显微镜研究

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In situ high-temperature (1023-1223 K) scanning tunneling microscopy was used to study the coarsening/decay kinetics of two-dimensional (2D) TiN adatom islands on TiN(0 0 1) terraces and in single-atom-deep vacancy pits. Island coarsening/decay behavior was found to be non-linear with time and to depend on the local environment (i.e., on adatom concentration gradients on the terrace), the signature of surface-diffusion-limited kinetics. Two simple island geometries-a single 2D adatom island on an atomically smooth terrace and a single 2D adatom island within a vacancy island-were used to extract adatom surface transport parameters. We model diffusion-limited island decay kinetics for these configurations based upon steady-state diffusion equations solved by adaptive finite-element methods with a form of the Gibbs-Thomson equation describing anisotropic islands serving as the boundary condition. Calculated decay rates were compared with the experimental results to obtain an activation energy E-a for adatom formation and diffusion on TiN(0 0 1). E-a was found to be 2.6 +/- 0.6 and 3.1 +/- 0.5 eV for adatom islands in vacancy pits and on terraces, respectively. The difference in the two E-a values corresponds to the step edge Ehrlich barrier, which for TiN(0 0 1) is less than the experimental uncertainties in the measurements. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 38]
机译:原位高温(1023-1223 K)扫描隧道显微镜用于研究TiN(0 0 1)台地和单原子深空位坑中的二维(2D)TiN吸附原子岛的粗化/衰减动力学。发现岛的粗化/衰减行为与时间呈非线性关系,并取决于局部环境(即,取决于平台上的原子浓度梯度),表面扩散受限动力学的特征。使用两个简单的岛几何结构(一个原子平滑台面上的单个2D原子原子岛和一个空位岛内的单个2D原子原子岛)提取原子表面传输参数。我们基于稳态有限元方法通过自适应有限元方法求解的稳态扩散方程对这些配置的扩散受限岛衰减动力学进行建模,其中吉布斯-汤姆森方程的形式描述了作为边界条件的各向异性孤岛。将计算出的衰减率与实验结果进行比较,以获得用于TiN(0 0 1)上的原子形成和扩散的活化能E-a。发现空位坑和梯田上的吸附原子岛的E-a分别为2.6 +/- 0.6和3.1 +/- 0.5 eV。这两个E-a值的差异对应于阶梯边缘Ehrlich势垒,对于TiN(0 0 1),它小于测量中的实验不确定性。 (C)2002 Elsevier Science B.V.保留所有权利。 [参考:38]

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