ArticleNature communications2024
Exact inversion of partially coherent dynamical electron scattering for picometric structure retrieval.
Article in Nature communications, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- Strain Relaxation in Layered Lateral Heterostructures: Insights From Molecular Simulations and Unconventional HAADF-STEM Imaging.Small methods · 2026Article
- Electron ptychography reveals correlated lattice vibrations at atomic resolution.Nature communications · 2026Article
- Imaging thick objects with deep-subangstrom resolution and deep-subpicometer precision.Science advances · 2026Article
- Hybrid physics-machine learning models for quantitative electron diffraction refinements.Nature communications · 2026Article
- phaser: a unified and extensible framework for fast electron ptychography.npj computational materials · 2026Article
- Depth of field of multi-slice electron ptychography: Investigating energy and convergence angle.Journal of microscopy · 2025Article
- Low-dose cryo-electron ptychography of proteins at sub-nanometer resolution.Nature communications · 2024Article
- Exact inversion of partially coherent dynamical electron scattering for picometric structure retrieval.Nature communications · 2024Article
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Authors and funding
5 authors.
Funding
Abstract
The greatly nonlinear diffraction of high-energy electron probes focused to subatomic diameters frustrates the direct inversion of ptychographic data sets to decipher the atomic structure. Several iterative algorithms have been proposed to yield atomically-resolved phase distributions within slices of a 3D specimen, corresponding to the scattering centers of the electron wave. By pixelwise phase retrieval, current approaches do not only involve orders of magnitude more free parameters than necessary, but also neglect essential details of scattering physics such as the atomistic nature of the specimen and thermal effects. Here, we introduce a parametrized, fully differentiable scheme employing neural network concepts which allows the inversion of ptychographic data by means of entirely physical quantities. Omnipresent thermal diffuse scattering in thick specimens is treated accurately using frozen phonons, and atom types, positions and partial coherence are accounted for in the inverse model as relativistic scattering theory demands. Our approach exploits 4D experimental data collected in an aberration-corrected momentum-resolved scanning transmission electron microscopy setup. Atom positions in a 20 nm thick PbZr
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