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Fringe Visibility Maps

Published online by Cambridge University Press:  02 July 2020

P. Fraundorf  and
W. Qin
P. Fraundorf
Affiliation:
Physics & Astronomy Department and CME, University of Missouri-StL, St. Louis, MO, 63121
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Abstract

The phrase “fringe visibility map” here refers to high-resolution images of uniform-thickness single crystal foils showing locally hemispheric deformation (i.e. bent into the shape of a watchglass), and to various mathematical analogs thereof. As the availability of “diffraction information” in direct-space form increases, for example with the availability of HREM and z-contrast lattice images, fringe visibility maps may serve as the direct space analog to Kikuchi maps, i.e. to diffraction pattern maps of Kikuchi line pairs as a function of specimen orientation, and their various cartoonifications.

Figures 1 to 3 are schematic Mathematica-generated fringe visibility maps for face-centered, body-centered, and diamond face-centered cubic lattices, respectively. Here we have turned the “locally hemispheric” concept around and drawn fringes visible when one is viewing a spherical particle of the appropriate thickness, along varying beam directions (rather than lattice orientations) parallel to the local radius vector on that sphere.

Type
Quantitative Transmission Electron Microscopy of Interfaces (Organized by M. Rüehle, Y. Zhu and U. Dahmen)
Information
Microscopy and Microanalysis , Volume 7 , Issue S2: Proceedings: Microscopy & Microanalysis 2001, Microscopy Society of America 59th Annual Meeting, Microbeam Analysis Society 35th Annual Meeting, Long Beach, California August 5-9, 2001 , August 2001 , pp. 272 - 273
Copyright
Copyright © Microscopy Society of America 2001

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References

References:

1.Williams, cf. & Carter, , Transmission Electron Microscopy, Volume 2, page 291.Google Scholar
2.Qin, W. and Fraundorf, P., Proc. Microscopy Society of America Annual Meeting, 2000, p. 1038–1039.CrossRefGoogle Scholar
3.Qin, W., “Direct space (nano)crystallography via HREM“ (Ph.D. Dissertation, UM-StL/Rolla, 2000)Google Scholar