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Electron Crystallography$
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Xiaodong Zou, Sven Hovmöller, and Peter Oleynikov

Print publication date: 2011

Print ISBN-13: 9780199580200

Published to Oxford Scholarship Online: January 2012

DOI: 10.1093/acprof:oso/9780199580200.001.0001

3D electron crystallography

Chapter:
(p. 223 ) 11 3D electron crystallography
Source:
Electron Crystallography
Author(s):

Xiaodong Zou

Sven Hovmöller

Peter Oleynikov

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199580200.003.0011

All structures are 3-dimensional, but each EM image is just a 2D projection of the 3D structure. Until recently, almost all work in the EM field has been 2D. 3D electron crystallography can be made by combining several HRTEM images and/or ED patterns taken from different orientations (zone axes). A crystal with all unit-cell dimensions over 5 Å will never give rise to projections that can be interpreted in terms of atomic coordinates. A 3D structure is needed. The procedure from image collection and interpretation, in terms of zone axis and projected symmetry, to combination of data into a 3D map, is demonstrated. All the steps are followed in great detail, using a very complex intermetallic structure as an example. HRTEM images (before and after image processing) and ED patterns from several zone axes are show together with a table of amplitudes and phases extracted from the HRTEM images and ED patterns. The remarkably clear 3D potential map is interpreted in terms of atomic structure.

Keywords:   3D electron crystallography, 3D reconstruction, high-resolution electron microscopy, electron diffraction, combining 2D projections, zone axes, merging projections, intermetallic compounds, 3D potential map, 3D atomic coordinates, contrast transfer function, symmetry, origin determination

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