Measurement of atomic electric fields and charge densities from average momentum transfers using scanning transmission electron microscopy

Mueller-Caspary, Knut and Krause, Florian F. and Grieb, Tim and Loffler, Stefan and Schowalter, Marco and Beche, Armand and Galioit, Vincent and Marquardt, Dennis and Zweck, Josef and Schattschneider, Peter and Verbeeck, Johan and Rosenauer, Andreas (2017) Measurement of atomic electric fields and charge densities from average momentum transfers using scanning transmission electron microscopy. ULTRAMICROSCOPY, 178. pp. 62-80. ISSN 0304-3991, 1879-2723

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Abstract

This study sheds light on the prerequisites, possibilities, limitations and interpretation of high-resolution differential phase contrast (DPC) imaging in scanning transmission electron microscopy (STEM). We draw particular attention to the well-established DPC technique based on segmented annular detectors and its relation to recent developments based on pixelated detectors. These employ the expectation value of the momentum transfer as a reliable measure of the angular deflection of the STEM beam induced by an electric field in the specimen. The influence of scattering and propagation of electrons within the specimen is initially discussed separately and then treated in terms of a two-state channeling theory. A detailed simulation study of GaN is presented as a function of specimen thickness and bonding. It is found that bonding effects are rather detectable implicitly, e.g., by characteristics of the momentum flux in areas between the atoms than by directly mapping electric fields and charge densities. For strontium titanate, experimental charge densities are compared with simulations and discussed with respect to experimental artifacts such as scan noise. Finally, we consider practical issues such as figures of merit for spatial and momentum resolution, minimum electron dose, and the mapping of larger-scale, built-in electric fields by virtue of data averaged over a crystal unit cell. We find that the latter is possible for crystals with an inversion center. Concerning' the optimal detector design, this study indicates that a sampling of 5 mrad per pixel is sufficient in typical applications, corresponding to approximately 10 x 10 available pixels. (C) 2016 Elsevier B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: ACTIVE PIXEL SENSOR; MAGNETIC-STRUCTURES; PHASE; RESOLUTION; STEM; DIFFRACTION; SCATTERING; PRECISION; DETECTOR; APPROXIMATION; TEM; STEM; DPC; Momentum transfer; Field measurement; Charge density measurement
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Experimental and Applied Physics > Chair Professor Back > Group Josef Zweck
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:16
Last Modified: 13 Dec 2019 13:16
URI: https://pred.uni-regensburg.de/id/eprint/1639

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