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Extended Depth of Field for High-Resolution Scanning Transmission Electron Microscopy

Published online by Cambridge University Press:  02 December 2010

Robert Hovden*
Affiliation:
School of Applied and Engineering Physics, Cornell University, Ithaca, NY 14853, USA
Huolin L. Xin
Affiliation:
Department of Physics, Cornell University, Ithaca, NY 14853, USA
David A. Muller
Affiliation:
School of Applied and Engineering Physics, Cornell University, Ithaca, NY 14853, USA Kavli Institute at Cornell for Nanoscale Science, Ithaca, NY 14853, USA
*
Corresponding author. E-mail: [email protected]
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Abstract

Aberration-corrected scanning transmission electron microscopes (STEMs) provide sub-Angstrom lateral resolution; however, the large convergence angle greatly reduces the depth of field. For microscopes with a small depth of field, information outside of the focal plane quickly becomes blurred and less defined. It may not be possible to image some samples entirely in focus. Extended depth-of-field techniques, however, allow a single image, with all areas in focus, to be extracted from a series of images focused at a range of depths. In recent years, a variety of algorithmic approaches have been employed for bright-field optical microscopy. Here, we demonstrate that some established optical microscopy methods can also be applied to extend the ∼6 nm depth of focus of a 100 kV 5th-order aberration-corrected STEM (αmax = 33 mrad) to image Pt-Co nanoparticles on a thick vulcanized carbon support. These techniques allow us to automatically obtain a single image with all the particles in focus as well as a complimentary topography map.

Type
TEM and STEM Materials Applications
Copyright
Copyright © Microscopy Society of America 2011

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References

REFERENCES

Aguet, F., Van De Ville, D. & Unser, M. (2008). Model-based 2.5-D deconvolution for extended depth of field in brightfield microscopy. IEEE Trans Image Processing 17(7), 11441153.CrossRefGoogle ScholarPubMed
Batson, P.E. (2006). Characterizing probe performance in the aberration corrected STEM. Ultramicroscopy 106(11-12), 11041114.CrossRefGoogle ScholarPubMed
Batson, P.E., Dellby, N. & Krivanek, O.L. (2002). Sub-angstrom resolution using aberration corrected electron optics. Nature 418(6898), 617620.CrossRefGoogle ScholarPubMed
Behan, G., Cosgriff, E.C., Kirkland, A.I. & Nellist, P.D. (2009). Three-dimensional imaging by optical sectioning in the aberration-corrected scanning transmission electron microscope. Philos Trans R Soc A-Math Phys Eng Sci 367(1903), 38253844.CrossRefGoogle ScholarPubMed
Born, M. & Wolf, E. (1999). Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light. Cambridge, UK: Cambridge University Press.CrossRefGoogle Scholar
Burt, P., Hanna, K. & Kolczynski, R. (1993). Enhanced image capture through fusion. In Proceedings of the Workshop on Augmented Visual Display (AVID) Research, pp. 207224. Moffett Field, CA: NASA, Ames Research Center.Google Scholar
Dey, N., Blanc-Feraud, L., Zimmer, C., Roux, P., Kam, Z., Olivo-Marin, J.C. & Zerubia, J. (2006). Richardson-Lucy algorithm with total variation regularization for 3D confocal microscope deconvolution. Microsc Res Tech 69(4), 260266.CrossRefGoogle ScholarPubMed
Erni, R., Rossell, M.D., Kisielowski, C. & Dahmen, U. (2009). Atomic-resolution imaging with a sub-50-pm electron probe. Phys Rev Lett 102, 096101.CrossRefGoogle ScholarPubMed
Forster, B., Van de Ville, D., Berent, J., Sage, D. & Unser, M. (2004). Complex wavelets for extended depth-of-field: A new method for the fusion of multichannel microscopy images. Microsc Res Tech 65(1-2), 3342.CrossRefGoogle ScholarPubMed
Hyun, J.K., Ercius, P. & Muller, D.A. (2008). Beam spreading and spatial resolution in thick organic specimens. Ultramicroscopy 109(1), 17.CrossRefGoogle ScholarPubMed
Intaraprasonk, V., Xin, H.L. & Muller, D.A. (2008). Analytic derivation of optimal imaging conditions for incoherent imaging in aberration-corrected electron microscopes. Ultramicroscopy 108(11), 14541466.CrossRefGoogle ScholarPubMed
Lucy, L.B. (1974). Iterative technique for rectification of observed distributions. Astron J 79(6), 745754.CrossRefGoogle Scholar
Mallat, S. (1999). A Wavelet Tour of Signal Processing. New York: Academic.Google Scholar
Nellist, P.D., Chisholm, M.F., Dellby, N., Krivanek, O.L., Murfitt, M.F., Szilagyi, Z.S., Lupini, A.R., Borisevich, A., Sides, W.H. & Pennycook, S.J. (2004). Direct sub-Ångstrom imaging of a crystal lattice. Science 305, 1741.CrossRefGoogle ScholarPubMed
Richards, Wh. (1972). Bayesian-based iterative method of image restoration. J Opt Soc Am 62(1), 5559.CrossRefGoogle Scholar
Sobel, I. & Feldman, G. (1968). A 3 × 3 isotropic gradient operator for image processing. Presented at a talk at the Stanford Artificial Project in 1968, unpublished but often cited, orig. Duda, R. & Hart, P. (1973). Pattern Classification and Scene Analysis, pp. 271–272. New York: John Wiley and Sons.Google Scholar
Unser, M. & Aldroubi, A. (1996). A review of wavelets in biomedical applications. Proc IEEE 84(4), 626638.CrossRefGoogle Scholar
Valdecasas, A.G., Marshall, D., Becerra, J.M. & Terrero, J.J. (2001). On the extended depth of focus algorithms for bright field microscopy. Micron 32(6), 559569.CrossRefGoogle ScholarPubMed
Van den Broek, W., Van Aert, S. & Van Dyck, D. (2010). A model based reconstruction technique for depth sectioning with scanning transmission electron microscopy. Ultramicroscopy 110(5), 548554.CrossRefGoogle Scholar
Xin, H.L., Intaraprasonk, V. & Muller, D.A. (2008). Depth sectioning of individual dopant atoms with aberration-corrected scanning transmission electron microscopy. Appl Phys Lett 92(1), 013125-1013125-3.CrossRefGoogle Scholar
Xin, H.L. & Muller, D.A. (2009). Aberration-corrected ADF-STEM depth sectioning and prospects for reliable 3D imaging in S/TEM. J Elec Microsc 58(3), 157165.CrossRefGoogle ScholarPubMed
Xin, H.L. & Muller, D.A. (2010). Three-dimensional imaging in aberration-corrected electron microscopes. Microsc Microanal 16(4), 445455.CrossRefGoogle ScholarPubMed