Abstract

Volumetric crystal structure indexing and orientation mapping are key data processing steps for virtually any quantitative study of spatial correlations between the local chemical composition features and the microstructure of a material. For electron and X-ray diffraction methods it is possible to develop indexing tools which compare measured and analytically computed patterns to decode the structure and relative orientation within local regions of interest. Consequently, a number of numerically efficient and automated software tools exist to solve the above characterization tasks. For atom-probe tomography (APT) experiments, however, the strategy of making comparisons between measured and analytically computed patterns is less robust because many APT data sets contain substantial noise. Given that sufficiently general predictive models for such noise remain elusive, crystallography tools for APT face several limitations: their robustness to noise is limited, and therefore so too is their capability to identify and distinguish different crystal structures and orientations. In addition, the tools are sequential and demand substantial manual interaction. In combination, this makes robust uncertainty quantification with automated high-throughput studies of the latent crystallographic information a difficult task with APT data. To improve the situation, the existing methods are reviewed and how they link to the methods currently used by the electron and X-ray diffraction communities is discussed. As a result of this, some of the APT methods are modified to yield more robust descriptors of the atomic arrangement. Also reported is how this enables the development of an open-source software tool for strong scaling and automated identification of a crystal structure, and the mapping of crystal orientation in nanocrystalline APT data sets with multiple phases.

Highlights

  • A standing voltage of a few kilovolts is applied, on top of which either laser or high-voltage pulses are superimposed to induce time-controlled field evaporation of individual atoms from the surface. During these experiments the specimen is held at cryogenic temperatures in the range of 25–80 K to limit the influence of surface diffusion on the analyses

  • We verify that real-space method (RSP) yields peaks in the amplitude spectra at positions that are specific for the crystal structure and the orientation of the crystal

  • (ii) The results demonstrate that indexing fails first close to interface junctions, i.e. for region of interest (ROI) where the signal comes from multiple crystals

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Summary

Introduction

Atom-probe tomography (APT) and the related technique of field-ion microscopy are powerful nanoscale analytical tools capable of reconstructing the 3D position and chemical identity of millions of individual atoms from a specimen (Muller et al, 1968; Blavette et al, 1993; Miller, 2000; Gault et al, 2012c; Larson et al, 2013a,b; Lefebvre et al, 2016) with sub-nanometre resolution (Kelly et al, 2007, 2009; Gault et al, 2009b, 2010b; De Geuser & Gault, 2020). A standing voltage of a few kilovolts is applied, on top of which either laser or high-voltage pulses are superimposed to induce time-controlled field evaporation of individual atoms from the surface. During these experiments the specimen is held at cryogenic temperatures in the range of 25–80 K to limit the influence of surface diffusion on the analyses

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