Entropic Comparison of Atomic-Resolution Electron Tomography of Crystals and Amorphous Materials

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Authors
  Collins, Sean
Leary, RK
  Midgley, Paul
  Tovey, Robert
  Benning, Martin
  Schoenlieb, Carola-Bibiane
Rez, P
Publication Date
2017-10-20
Journal Title
Physical Review Letters
ISSN
0031-9007
Publisher
American Physical Society
Volume
119
Issue
16
Number
166101
Type
Article
This Version
AM
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Citation
Collins, S., Leary, R., Midgley, P., Tovey, R., Benning, M., Schoenlieb, C., Rez, P., & et al. (2017). Entropic Comparison of Atomic-Resolution Electron Tomography of Crystals and Amorphous Materials. Physical Review Letters, 119 (16. 166101) https://doi.org/10.1103/PhysRevLett.119.166101
Abstract
Electron tomography bears promise for widespread determination of the three-dimensional arrangement of atoms in solids. However, it remains unclear whether methods successful for crystals are optimal for amorphous solids. Here, we explore the relative difficulty encountered in atomic-resolution tomography of crystalline and amorphous nanoparticles. We define an informational entropy to reveal the inherent importance of low-entropy zone-axis projections in the reconstruction of crystals. In turn, we propose considerations for optimal sampling for tomography of ordered and disordered materials.
Sponsorship
M. M. J. T is grateful for the support from the Leverhulme Trust and from the U.S. Department of Energy, Contract No. DE-AC02-06CH11357. R. K. L. acknowledges support from a Clare College Junior Research Fellowship. S. M. C. and P. A. M. acknowledge funding from the European Research Council under the European Union’s Seventh Framework Program (FP7/2007–2013)/ERC Grant Agreement No. 291522-3DIMAGE. C.-B. S. acknowledges support from the Leverhulme Trust project “Breaking the non-convexity barrier,” EPSRC Grant No. EP/M00483X/1, EPSRC Centre Grant No. EP/N014588/1, and CHiPS (the Horizon 2020 RISE project grant). R. T. acknowledges funding from EPSRC Grant No. EP/L016516/1 for the Cambridge Centre for Analysis. R. T. and C.-B. S. also acknowledge the Cantab Capital Institute for the Mathematics of Information. M. B. acknowledges the Isaac Newton Trust and the Leverhulme Trust Early Career Fellowship “Learning from mistakes: A supervised feedback-loop for imaging applications.”
Funder references
European Research Council (291522)
Engineering and Physical Sciences Research Council (EP/M00483X/1)
Engineering and Physical Sciences Research Council (EP/N014588/1)
European Commission Horizon 2020 (H2020) Marie Sk?odowska-Curie actions (691070)
Leverhulme Trust (VP2-2015-020)
Leverhulme Trust (ECF-2016-611)
Isaac Newton Trust (1608(aj))
Engineering and Physical Sciences Research Council (EP/H023348/1)
Leverhulme Trust (RPG-2015-250)
Alan Turing Institute (unknown)
Engineering and Physical Sciences Research Council (EP/J009539/1)
Engineering and Physical Sciences Research Council (EP/L016516/1)
Identifiers
External DOI: https://doi.org/10.1103/PhysRevLett.119.166101
This record's URL: https://www.repository.cam.ac.uk/handle/1810/268129
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