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Lattice Fringe Visibility after Tilt

Published online by Cambridge University Press:  02 July 2020

W. Qin  and
P. Fraundorf
W. Qin
Affiliation:
Physics & Astronomy Department and CME, University of Missouri-StL, St. Louis, MO63121
P. Fraundorf
Affiliation:
Physics & Astronomy Department and CME, University of Missouri-StL, St. Louis, MO63121
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Extract

Factors that affect the visibility of lattice fringes include crystal orientation and thickness, as well as instrument response. As a crystal gets smaller, lattice fringes stay visible for larger deviations from the Bragg condition. Hence the persistence of fringes under tilt affects the abundance and range of lattice spacings (and angles) that one sees in an image of randomly-oriented crystals. A subset of the fringes in an image are “still-visible” after large (e.g. 35°) single or double axis tilts. If one is looking for “new-fringes” from the same crystal (e.g. to analyze it's 3D lattice parameters), rules for recognizing redundant fringes might also help out.

Here we examine a semi-empirical model for predicting the visibility of lattice fringes after tilt, by connecting the visibility to intersection of the corresponding crystal reciprocal-lattice spot with the illuminating Ewald sphere.

Type
High Resolution Electron Microscopy
Information
Microscopy and Microanalysis , Volume 6 , Issue S2: Proceedings: Microscopy & Microanalysis 2000, Microscopy Society of America 58th Annual Meeting, Microbeam Analysis Society 34th Annual Meeting, Microscopical Society of Canada/Societe de Microscopie de Canada 27th Annual Meeting, Philadelphia, Pennsylvania August 13-17, 2000 , August 2000 , pp. 1040 - 1041
Copyright
Copyright © Microscopy Society of America

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References

References:

1.Qin, W., Shi, W., Li, J., James, W., Siriwardane, H. & Fraundorf, P., Mat. Res. Soc. Symp. Proc. Vol.520, P.217–222CrossRefGoogle Scholar
2.Qin, W., Siriwardane, H., and Fraundorf, P., Proc. Ann. MSA Meeting, 5(1999)188–189Google Scholar
3.Qin, W. and Fraundorf, P., Los Alamos’ arXiv:cond-mat/0001139 (http://arXiv.org).Google Scholar
4. Private communication from James, W. and Shih, W.Google Scholar
5. Acknowledgements: Dr. James and Dr. Shih at U. Missouri-Rolla for the WC filmGoogle Scholar