Method for the Manual Analysis of Moiré Structures in STM images.
Method for the Manual Analysis of Moiré Structures in STM images.
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DOI：
10.1002/cphc.202001034
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发表时间：
2021-05-05
期刊：
影响因子：
--
通讯作者：
Wintterlin J
中科院分区：
文献类型：
--
作者：
Günther S;Zeller P;Böller B;Wintterlin J
提出了一种人工确定等效六边形波纹结构晶格参数的方法。它解决了波纹结构的晶格参数通常不能通过检测STM图像来确定的问题，因此需要基于计算机的分析。相称的莫尔维尔结构的晶格矢量是衬底和吸附层的两个基矢量的整数倍的和。该方法从STM图像的傅里叶变换分析中提取关于吸附层的两个因子。这两个因素与基板层的两个因素有关。采用细胞增强法，用代数方法识别出六种可能的波纹结构。当衬底的取向和晶格常数大致已知时，这些信息通常足以确定一个独特的波纹结构及其晶格参数。人工分析：提出了一种分析表面上相应的六边形波纹结构的STM图像的方法。精确的晶格常数和旋转角通常不能通过简单的检查得到。然而，描述莫尔维尔结构的方程可以解析求解，由此推导出一个循序渐进的公式，给出精确的晶格参数。避免了试错方法以及数值计算。该方法利用傅里叶变换对目录图像中的模拟数据进行处理。
A method is presented to manually determine the lattice parameters of commensurate hexagonal moiré structures resolved by STM. It solves the problem that lattice parameters of moiré structures usually cannot be determined by inspection of an STM image, so that computer‐based analyses are required. The lattice vector of a commensurate moiré structure is a sum of integer multiples both of the two basis vectors of the substrate and of the adsorbed layer. The method extracts the two factors with respect to the adsorbed layer from an analysis of the Fourier transform of an STM image. These two factors are related to the two factors with respect to the substrate layer. Using the cell augmentation method, six possible moiré structures are identified by algebra. When the orientation and lattice constant of the substrate are roughly known, this information is usually sufficient to determine a unique moiré structure and its lattice parameters. Manual analysis: A method is presented to analyze STM images of commensurate, hexagonal moiré structures on surfaces. Precise lattice constants and rotational angles can usually not be derived by simple inspection. However, the equations describing moiré structures can be solved analytically, from which a step‐by‐step recipe is developed that gives exact lattice parameters. Trial‐and‐error approaches as well as numerical computations are avoided. The method makes use of the Fourier transform, as illustrated for the simulated data in the table of content image.
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