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

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Collins, SM 
Leary, RK 
Midgley, PA 
Tovey, RJ 

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.

Description

Keywords

0306 Physical Chemistry (incl. Structural)

Journal Title

Physical Review Letters

Conference Name

Journal ISSN

0031-9007
1079-7114

Volume Title

119

Publisher

American Physical Society
Sponsorship
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)
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.”