Abstract
High-resolution imaging of low-atomic-number chemical elements using electron microscopy is challenging and may require the use of high doses of electrons. Electron diffractive imaging, which creates real-space images using diffraction intensities and phase retrieval methods, could overcome such issues, although it is also subject to limitations. Here, we show that a combination of electron diffractive imaging and high-resolution transmission electron microscopy can image individual TiO2 nanocrystals with a resolution of 70 pm while exposing the specimen to a low dose of electrons. Our approach, which does not require spherical and chromatic aberration correction, can reveal the location of light atoms (oxygen) in the crystal lattice. We find that the unit cell in nanoscale TiO2 is subtly different to that in the corresponding bulk.
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References
Ozin, G. A., Arsenault, A. C. & Cademartiri, L. Nanochemistry: A Chemical Approach to Nanomaterials 876 (RSC Publishing, 2008).
Urban, K. W. Studying atomic structures by aberration-corrected transmission electron microscopy. Science 321, 506–510 (2008).
Miao, J., Charalambous, P., Kirz, J. & Sayre, D. Extending the methodology of X-ray crystallography to allow imaging of micrometre-sized non-crystalline specimens. Nature 400, 342–344 (1999).
Abbey, B. et al. Keyhole coherent diffractive imaging. Nature Phys. 4, 394–398 (2008).
Huang, W. J. et al. Coordination-dependent surface atomic contraction in nanocrystals revealed by coherent diffraction. Nature Mater. 7, 308–313 (2008).
Huang, W. J., Zuo, J. M., Jiang, B., Kwon, K. W. & Shim, M. Sub-ångström-resolution diffractive imaging of single nanocrystals. Nature Phys. 5, 129–133 (2009).
Sayre, D., Chapman, H. N. & Miao, J. On the extendibility of X-ray crystallography to noncrystals. Acta Crystallogr. A 54, 232–239 (1998).
Marchesini, S. Invited article: A unified evaluation of iterative projection algorithms for phase retrieval. Rev. Sci. Instrum. 78, 011301 (2007).
Marchesini, S. et al. X-ray image reconstruction from a diffraction pattern alone. Phys. Rev. B 68, 140101R (2003).
Gerchberg, R. W. & Saxton, W. O. A practical algorithm for the determination of phase from image and diffraction plane pictures. Optik 35, 237–246 (1972).
Fan, H. et al. Image processing in high-resolution electron microscopy using direct method. Acta Crystallogr. A 41, 163–165 (1985)
Zuo, J. M., Vartanyants, I., Gao, M., Zhang, R. & Nagahara, L. A. Atomic resolution imaging of a carbon nanotube from diffraction intensities. Science 300, 1419–1421 (2003).
Zou, X. D. Crystal structure determination by crystallographic image processing, in Electron Crystallography (eds Dorset, D. L., Hovmoller, S. & Zou, X. D.) 163–181, Nano ASI Series C (Kluwer Academic Publishers, 1997).
Weirich, T. E., Winterer, M., Seifried, S., Hahn, H. & Fuess, H. Rietveld analysis of electron powder diffraction data from nanocrystalline anatase, TiO2 . Ultramicroscopy 81, 263–270 (2000).
Muller, D. A. Structure and bonding at the atomic scale by scanning transmission electron microscopy. Nature Mater. 8, 263–270 (2009).
Nellist, P. D. et al. Direct sub-ångström imaging of a crystal lattice. Science 305, 1741 (2004).
Mkhoyan, K. A., Batson, P. E., Cha, J., Schaff, W. J. & Silcox, J. Direct determination of local lattice polarity in crystals. Science 312, 1354 (2006).
Bokel, R. M. J., Jansen, J. & Zandbergen H. W. Determination of the orientation in small areas of the exit wave. Ultramicroscopy 87, 89–96 (2000).
Miedema, M. A. O., van den Bos, A. & Buist, A. Experimental design of the exit wave reconstruction from a transmission electron microscope defocus series. IEEE Trans. Inst. Meas. 43, 181–186 (1994).
Chen, X. & Mao, S. S. Titanium dioxide nanomaterials: synthesis, properties, modifications and applications. Chem. Rev. 107, 2891–2959 (2007).
Cozzoli, P. D., Kornowski, A. & Weller, H. Low-temperature synthesis of soluble and processable organic-capped anatase TiO2 nanorods. J. Am. Chem. Soc. 125, 14539–14548 (2003).
Stadelmann, P. A. EMS—a software package for electron diffraction analysis and HREM image simulation in material science. Ultramicroscopy 21, 131–145 (1987).
Caliandro, R. et al. Phasing at resolution higher than the experimental resolution. Acta Crystallogr. D 61, 556–565 (2005).
Caliandro, R. et al. Ab initio phasing of proteins with heavy atoms at non-atomic resolution: pushing the size limit of solvable structures up to 7,890 non-H atoms in the asymmetric unit. J. Appl. Crystallogr. 41, 548–553 (2008).
Djerdj, I. & Tonejc, A. M. Structural investigations of nanocrystalline TiO2 samples. J. Alloys Comp. 413, 159–174 (2006).
Djerdj, I., Tonejc, A. M., Bijelic, M., Vranesa, V. & Turkovic, A. Transmission electron microscopy studies of nanostructured TiO2 films on various substrates. Vacuum 80, 371–378 (2005).
Tonejc, A. M., Djerdj, I. & Tonejc, A. An analysis of evolution of grain size—lattice parameters dependence in nanocrystalline TiO2 anatase. Mater. Sci. Eng. C 19, 85–89 (2002).
Varghese, S. et al. Nonlinear size dependence of anatase TiO2 lattice parameters. Appl. Phys. Lett. 88, 243103 (2006).
Zhang, H., Chen, B. & Banfield, J. F. The size dependence of the surface free energy of titania nanocrystals. Phys. Chem. Chem. Phys. 11, 2553–2558 (2009).
Cozzoli, P. D. (ed.) Advanced Wet-Chemical Synthetic Approaches to Inorganic Nanostructures 453 (Transworld Research Network, 2008).
Thompson, T. L. & Yates, J. T., Jr. Surface science studies of the photoactivation of TiO2—new photochemical processes. Chem. Rev. 106, 4428–4453 (2006).
Ganduglia-Pirovano, M. V., Hofmann, A. & Sauer, J. Oxygen vacancies in transition metal and rare earth oxides: current state of understanding and remaining challenges. Surf. Sci. Rep. 62, 219–270 (2007).
Finazzi, E., Di Valentin, C. & Pacchioni, G. Nature of Ti interstitials in reduced bulk anatase and rutile TiO2 . J. Phys. Chem. C 113, 3382–3385 (2009).
Doyle, P. A. & Turner, P. S. Crystal physics, diffraction, theoretical and general crystallography. Acta Crystallogr. A 24, 390–397 (1968).
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L.D.C. and C.G. conceived the EDI methodology, which was further developed in collaboration with E.C., who performed HRTEM and n-ED experiments. C.G. performed the X-ray diffraction experiments and L.D.C. developed and applied the algorithm for the phase-retrieval processing. P.D.C. conceived and supervised development of colloidal TiO2 synthesis. G.C. synthesized the TiO2 nanocrystals. L.D.C. wrote the paper in close collaboration with C.G., E.C. and P.D.C. The results were discussed by all the authors.
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De Caro, L., Carlino, E., Caputo, G. et al. Electron diffractive imaging of oxygen atoms in nanocrystals at sub-ångström resolution. Nature Nanotech 5, 360–365 (2010). https://doi.org/10.1038/nnano.2010.55
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DOI: https://doi.org/10.1038/nnano.2010.55
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