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Method for the Manual Analysis of Moiré Structures in STM images
Author(s) -
Günther Sebastian,
Zeller Patrick,
Böller Bernhard,
Wintterlin Joost
Publication year - 2021
Publication title -
chemphyschem
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.016
H-Index - 140
eISSN - 1439-7641
pISSN - 1439-4235
DOI - 10.1002/cphc.202001034
Subject(s) - moiré pattern , lattice (music) , lattice constant , fourier transform , materials science , hexagonal lattice , hexagonal crystal system , crystal structure , mathematics , crystallography , optics , chemistry , condensed matter physics , physics , mathematical analysis , diffraction , antiferromagnetism , acoustics
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.