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Scanning Electron Nanodiffraction and Diffraction Imaging

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Scanning Transmission Electron Microscopy

Abstract

This chapter describes electron nanodiffraction and its use for structural imaging and analysis. The chapter is organized into five sections. The first section contains an introduction to electron nanodiffraction and diffraction imaging and the motivations for developing these techniques. Section 9.2 covers different electron nanodiffraction techniques and their implementation. It is followed by a discussion on the information that can be obtained from electron nanodiffraction and the theory behind it. In outlining the theory for electron nanodiffraction in Section 9.3, we first rely on the kinematical theory to give a conceptual foundation for electron nanodiffraction. The treatment of the kinematical theory is then followed by the well-developed electron multiple scattering theory for CBED of medium to thick crystals. The kinematical theory can be used for both crystalline and noncrystalline atomic structures, while the theory for CBED is largely limited to crystals or crystals with certain types of defects. For the treatment of electron multiple scattering of arbitrary structures, we included a description of the multi-slice method, which is a numerical method often used for electron diffraction simulations. The description of the electron nanodiffraction techniques in Section 9.2 and theory in Section 9.3 are followed by a few application examples in Section 9.4. We focus on the applications of SEND for imaging strain, nanostructures, and defects. The application examples given here serve to highlight the potential of SEND rather than a complete review of electron nanodiffraction applications. We also provide the experimental details in Section 9.4 to give some ideas of what it takes to do SEND. The chapter is finished with a conclusion.

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Notes

  1. 1.

    This manuscript has been authored by employees of Brookhaven Science Associates, LLC under Contract No. DE-AC02-98CH10886 with the U.S. Department of Energy. The publisher by accepting the manuscript for publication acknowledges that the United States Government retains a non-exclusive, paid-up, irrevocable, world-wide license to publish or reproduce the published form of this manuscript, or allow others to do so, for United States Government purposes.

References

  • A. Armigliato, R. Balboni, G.P. Carnevale, G. Pavia, D. Piccolo, S. Frabboni, A. Benedetti, A.G. Cullis, Appl. Phys. Lett. 82, 2172–2174 (2003)

    Article  CAS  Google Scholar 

  • A. Armigliato, S. Frabboni, G.C. Gazzadi, Appl. Phys. Lett. 93, 161906 (2008)

    Article  Google Scholar 

  • R.H.T. Bates, Optik 61, 247–262 (1982)

    Google Scholar 

  • S.J.L. Billinge, I. Levin, Science 316, 561–565 (2007)

    Article  CAS  Google Scholar 

  • D.M. Bird, Q.A. King, Acta Crystallographica Section A 46, 202–208 (1990)

    Article  Google Scholar 

  • G. Botton, in Science of Microscopy, eds. by J.C.H. Spence, P.W. Hawkes, vol. I, 273–405 (Springer, New York, 2007)

    Google Scholar 

  • B.F. Buxton, Phil. Trans. R. Soc. Lond. Ser. A-Math. Phys. Eng. Sci. 281, 171–194 (1976a)

    Google Scholar 

  • B. Buxton, Proc. R. Soc. Lond. Ser. A-Math. Phys. Eng. Sci. 350, 335 (1976b)

    Article  Google Scholar 

  • A. Celik-Aktas, J.M. Zuo, J.F. Stubbins, C.C. Tang, Y. Bando, Acta Crystallographica Section A 61, 533–541 (2005)

    Article  Google Scholar 

  • H.N. Chapman, A. Barty, S. Marchesini, A. Noy, S.R. Hau-Riege, C. Cui, M.R. Howells, R. Rosen, H. He, J.C.H. Spence, U. Weierstall, T. Beetz, C. Jacobsen, D. Shapiro, J. Opt. Soc. Am. 23, 1179–1200 (2006)

    Article  Google Scholar 

  • A. Chuvilin, U. Kaiser, Ultramicroscopy 104, 73–82 (2005)

    Article  CAS  Google Scholar 

  • J.M. Cowley, Ultramicroscopy 4, 413–418 (1979)

    Article  Google Scholar 

  • J.M. Cowley, Electron Diffraction Techniques, vol. I, II (Oxford University Press, Oxford, UK, 1992)

    Google Scholar 

  • J.M. Cowley, Diffraction Physics (Elsevier Science, NL, 1995)

    Google Scholar 

  • J.M. Cowley, Microsc. Res. Tech. 46, 75–97 (1999)

    Article  CAS  Google Scholar 

  • J. M. Cowley, Micron 35, 345–360 (2004)

    Article  CAS  Google Scholar 

  • P.C. Dai, J.A. Fernandez-Baca, N. Wakabayashi, E.W. Plummer, Y. Tomioka, Y. Tokura, Phys. Rev. Lett. 85, 2553–2556 (2000)

    Article  CAS  Google Scholar 

  • K. Derbyshire, Solid State Technol. 50, 38–41 (2007)

    Google Scholar 

  • H.M.L. Faulkner, J.M. Rodenburg, Phys. Rev. Lett. 93, 023903 (2004)

    Article  CAS  Google Scholar 

  • J.R. Fienup, Applied Optics 21, 2758–2769 (1982)

    Google Scholar 

  • M. Gao, J.M. Zuo, R.D. Twesten, I. Petrov, L.A. Nagahara, R. Zhang, Appl. Phys. Lett. 82, 2703–2705 (2003)

    Article  CAS  Google Scholar 

  • R. Hegerl, W. Hoppe, Berichte Der Bunsen-Gesellschaft Fur Physikalische Chemie 74, 1148–1154 (1970)

    CAS  Google Scholar 

  • P. Hirsch, A. Howie, R.B. Nicolson, D.W. Pashley, M.J. Whelan, Electron Microscopy of Thin Crystals (Robert E. Krieger Publishing Company, Malabar, FL, 1977)

    Google Scholar 

  • F. Houdellier, C. Roucau, L. Clement, J.L. Rouviere, M.J. Casanove, Ultramicroscopy 106, 951–959 (2006)

    Article  CAS  Google Scholar 

  • S. Hovmoller, X.D. Zou, T.E. Weirich, in Advances in Imaging and Electron Physics, eds. by P.W. Hawkes, P.G. Merli, G. Colestani and M. Vitlori-Antisari, vol. 123 (2002), pp. 257–289

    Google Scholar 

  • S.M. Hu, J. Appl. Phys. 70, R53–R80 (1991)

    Article  CAS  Google Scholar 

  • G.B. Hu, L.M. Peng, Q.F. Yu, H.Q. Lu, Ultramicroscopy 84, 47–56 (2000)

    Article  CAS  Google Scholar 

  • W.J. Huang, R. Sun, J. Tao, L.D. Menard, R.G. Nuzzo, J.M. Zuo, Nat. Mater. 7, 308–313 (2008)

    Article  CAS  Google Scholar 

  • M. Hytch, F. Houdellier, F. Hue, E. Snoeck, Nature 453, 1086–1089 (2008)

    Article  CAS  Google Scholar 

  • K. Ishizuka, Acta Crystallographica Section A 38, 773–779 (1982)

    Article  Google Scholar 

  • D. Jacob, J.M. Zuo, A. Lefebvre, Y. Cordier, Ultramicroscopy 108, 358–366 (2008)

    Article  CAS  Google Scholar 

  • J. Jansen, D. Tang, H.W. Zandbergen, H. Schenk, Acta Crystallographica Section A 54, 91–101 (1998)

    Article  Google Scholar 

  • M. Kim, J.M. Zuo, G.S. Park, Appl. Phys. Lett. 84, 2181–2183 (2004)

    Article  CAS  Google Scholar 

  • V. Kiryukhin, T.Y. Koo, H. Ishibashi, J.P. Hill, S.W. Cheong, Phys. Rev. B 67, 064421 (2003)

    Article  Google Scholar 

  • Y.P. Lin, D.M. Bird, R. Vincent, Ultramicroscopy 27, 233–240 (1989)

    Article  Google Scholar 

  • J.W. Miao, P. Charalambous, J. Kirz, D. Sayre, Nature 400, 342–344 (1999)

    Article  CAS  Google Scholar 

  • R.P. Millane, W.J. Stroud, J. Opt. Soc. Am. A 14, 568–579 (1997)

    Google Scholar 

  • S. Morishita, J. Yamasaki, K. Nakamura, T. Kato, N. Tanaka, Appl. Phys. Lett. 93, 183103 (2008)

    Article  Google Scholar 

  • L.M. Peng, Acta Crystallogr. Section A 53, 663–672 (1997)

    Article  Google Scholar 

  • L.M. Peng, S.L. Dudarev, M.J. Whelan, High-Energy Electron Diffraction and Microscopy (Oxford University Press, Oxford, UK, 2004)

    Google Scholar 

  • I.K. Robinson, I.A. Vartanyants, G.J. Williams, M.A. Pfeifer, J.A. Pitney, Phys. Rev. Lett. 8719 (2001)

    Google Scholar 

  • J.M. Rodenburg, in Advances in Imaging and Electron Physics, ed. by P.W. Hawkes, vol. 150 (2008), pp. 87–184

    Google Scholar 

  • J.M. Rodenburg, A.C. Hurst, A.G. Cullis, B.R. Dobson, F. Pfeiffer, O. Bunk, C. David, K. Jefimovs, I. Johnson, Phys. Rev. Lett. 98 (2007)

    Google Scholar 

  • C.J. Rossouw, M. Alkhafaji, D. Cherns, J.W. Steeds, R. Touaitia, Ultramicroscopy 35, 229–236 (1991)

    Article  Google Scholar 

  • M.B. Salamon, M. Jaime, Rev. Mod. Phys. 73, 583–628 (2001)

    Article  CAS  Google Scholar 

  • D. Sayre, H.N. Chapman, J. Miao, Acta Crystallogr. Section A 54, 232–239 (1998)

    Article  Google Scholar 

  • D. Shapiro, P. Thibault, T. Beetz, V. Elser, M. Howells, C. Jacobsen, J. Kirz, E. Lima, H. Miao, A. M. Neiman, D. Sayre, Proc. Natl. Acad. Sci. USA. 102, 15343–15346 (2005)

    Article  CAS  Google Scholar 

  • J.C.H. Spence, High-Resolution Electron Microscopy (Oxford University Press, Oxford, UK, 2003)

    Google Scholar 

  • J.C.H. Spence, J.M. Zuo, Electron Microdiffraction (Plenum Press, New York, NY, 1992)

    Google Scholar 

  • L. Sturkey, Acta Crystallogr. 10, 858–859 (1957)

    Google Scholar 

  • M. Tanaka, R. Saito, H. Sekii, Acta Crystallogr. Sect. A 39, 357–368 (1983a)

    Article  Google Scholar 

  • M. Tanaka, H. Sekii, T. Nagasawa, Acta Crystallogr. Sect. A 39, 825–837 (1983b)

    Article  Google Scholar 

  • J. Tao, D. Niebieskikwiat, M. Varela, W. Luo, M.A. Schofield, Y. Zhu, M.B. Salamon, J.M. Zuo, S.T. Pantelides, S.J. Pennycook, Phys. Rev. Letts. 103, 097202 (2009)

    Google Scholar 

  • S.E. Thompson, R.S. Chau, T. Ghani, K. Mistry, S. Tyagi, M.T. Bohr, IEEE Trans. Semicond. Manufact. 18, 26–36 (2005)

    Article  Google Scholar 

  • S.E. Thompson, S. Parthasarathy, Mater. Today 9, 20–25 (2006)

    Article  CAS  Google Scholar 

  • R. Vincent, T.D. Walsh, Ultramicroscopy 70, 83–94 (1997)

    Article  CAS  Google Scholar 

  • R. Vincent, T.D. Walsh, M. Pozzi, Ultramicroscopy 76, 125–137 (1999)

    Article  CAS  Google Scholar 

  • A. Weickenmeier, H. Kohl, Acta Crystallographica Section A 47, 590–597 (1991)

    Article  Google Scholar 

  • J.M. Zuo, Ultramicroscopy 41, 211–223 (1992)

    Article  CAS  Google Scholar 

  • J.M. Zuo, Mater. Trans. Jim 39, 938–946 (1998)

    CAS  Google Scholar 

  • J.M. Zuo, Microsc. Res. Tech. 49, 245–268 (2000)

    Article  CAS  Google Scholar 

  • J.M. Zuo, Rep. Prog. Phys. 67, 2053–2103 (2004)

    Article  CAS  Google Scholar 

  • J.M. Zuo, M. Gao, J. Tao, B.Q. Li, R. Twesten, I. Petrov, Microsc. Res. Tech. 64, 347–355 (2004)

    Article  CAS  Google Scholar 

  • J.M. Zuo, T. Kim, A. Celik-Aktas, J. Tao, Zeitschrift fur Kristallographie 222, 625–633 (2007)

    Article  CAS  Google Scholar 

  • J.M. Zuo, M. Kim, R. Holmestad, J. Electron. Microsc. 47, 121–127 (1998)

    Article  CAS  Google Scholar 

  • J.M. Zuo, J.C.H. Spence, Ultramicroscopy 35, 185–196 (1991)

    Article  CAS  Google Scholar 

  • J.M. Zuo, J.C.H. Spence, Phil. Mag. A 68, 1055–1078 (1993)

    Article  CAS  Google Scholar 

  • J.M. Zuo, J. Tao, Phys. Rev. B 63, 060407 (2001)

    Google Scholar 

  • J.M. Zuo, I. Vartanyants, M. Gao, R. Zhang, L.A. Nagahara, Science 300, 1419–1421 (2003)

    Article  CAS  Google Scholar 

  • J.M. Zuo, A.L. Weickenmeier, Ultramicroscopy 57, 375–383 (1995)

    Article  CAS  Google Scholar 

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Acknowledgments

The writing of this paper was made possible with the support by U.S. Department of Energy Grant DEFG02-01ER45923. Microscopy performed on the JEOL 2010F was carried out at the Center for Microanalysis of Materials at the Frederick Seitz Materials Research Laboratory, which is partially supported by the U.S. Department of Energy under grant DEFG02-91-ER45439. JT was supported by U.S. Department of Energy under contract DE-AC05-00OR22725 with Oak Ridge National Laboratory and by the U.S. DOE/BES under contract DE-AC02-98CH10886 with Brookhaven National Laboratory. We thank Amish Shah for Figure 9–6 and Seongwon Kim for Figure 9–13.

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Correspondence to Jian -Min Zuo .

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Zuo, J.M., Tao, J. (2011). Scanning Electron Nanodiffraction and Diffraction Imaging. In: Pennycook, S., Nellist, P. (eds) Scanning Transmission Electron Microscopy. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-7200-2_9

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