Skip to main content

The Direct Imaging of Crystal Structures

  • Chapter
Electron Microscopy in Mineralogy

Abstract

The essential stages in the formation of an image in an electron microscope can be described in terms of the Abbe Theory of the formation of the image by the objective lens. Although this is a wave theory, we may illustrate it by reference to the geometric optics diagram, Fig. 1.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Allpress, J.G., Sanders, J.V.: The direct observation of the structure of real crystals by lattice imaging. J. Appl. Crystallogr. 6, 165–190 (1973).

    Article  CAS  Google Scholar 

  • Anstis, G.R., Lynch, D.F., Moodie, A.F., O’Keefe, M.: n-Beam lattice images III. Upper limits of ionicity in W4Nb26O77. Acta Cryst. A 29, 138–147 (1973).

    Article  CAS  Google Scholar 

  • Buseck, P.R., Iijima, S.: High resolution electron microscopy of silicates. Am. Mineralogist 59, 1–21 (1974).

    CAS  Google Scholar 

  • Cowley, J.M.: The electron-optical imaging of crystal lattices. Acta Cryst. 12, 367–375 (1959).

    Article  CAS  Google Scholar 

  • Cowley, J.M.: High-resolution dark field electron microscopy, I. Useful approximations. Acta Cryst. A 29, 529–536 (1973a).

    Article  Google Scholar 

  • Cowley, J.M.: High-resolution dark field electron microscopy, II. Short-range order in crystals. Acta Cryst. A 29, 537–540 (1973b).

    Article  CAS  Google Scholar 

  • Cowley, J.M.: The principles of high resolution electron microscopy. In: Principles and techniques of electron microscopy (ed. M.A. Hayat). New York: Van Nostrand Reinhold Co. 1974.

    Google Scholar 

  • Cowley, J.M.: Diffraction physics. Amsterdam: North Holland 1975.

    Google Scholar 

  • Cowley, J.M., Iijima, S.: Electron microscope image contrast for thin crystals. Z. Naturforsch. 27 a, 445–451 (1972).

    CAS  Google Scholar 

  • Cowley, J.M., Moodie, A.F.: The scattering of electrons by atoms and crystals, I. A new theoretical approach. Acta Cryst. 10, 609–619 (1957).

    Article  CAS  Google Scholar 

  • Cowley, J.M., Moodie, A.F.: Fourier images IV. Phase gratings. Proc. Phys. Soc. (London) 76, 378–384 (1960).

    Article  Google Scholar 

  • Fejes, P.L.: High resolution lattice images. Ph. D. Thesis, Arizona State University (1973).

    Google Scholar 

  • Fejes, P.L., Iijima, S., Cowley, J.M.: Periodicity in thickness of electron-microscope crystal-lattice images. Acta Cryst. A 29, 710–714 (1973).

    Article  CAS  Google Scholar 

  • Goodman, P., Moodie, A.F.: Numerical evaluation of n-beam wave functions in electron scattering by the multislice method. Acta Cryst. A 30, 280–290 (1974).

    Article  Google Scholar 

  • Hashimoto, H., Mannami, M., Naiki, T.: Dynamical theory of electron diffraction for the electron microscope image of crystal lattices. Phil. Trans. Roy. Soc. London, Ser. A 253, 459–516 (1961).

    Article  Google Scholar 

  • Hutchinson, J.L.: Direct observation of linear defects in niobium oxides. In: Diffraction studies of real atoms and real crystals, p. 145–146. Proc. of Int. Crystallography Conf., Melbourne (1974).

    Google Scholar 

  • Iijima, S.: High resolution electron microscopy of crystal lattice of titanium-niobium oxide. J. Appl. Phys. 42, 5891–5893 (1971).

    Article  CAS  Google Scholar 

  • Iijima, S.: Direct observation of lattice defects in H-Nb2O5 by high resolution electron microscopy. Acta Cryst. A 29, 18–24 (1973).

    Article  CAS  Google Scholar 

  • Iijima, S.: High resolution electron microscopy of wustite crystal. In: Diffraction studies of real atoms and real crystals, p. 217–218. Proc. of Int. Crystallography Conf., Melbourne (1974).

    Google Scholar 

  • Iijima, S.: Ordering of the Point Defects in Nonstoichiometric Crystals of Nb12O29. Acta Cryst. A 31, 784–790 (1975).

    Article  Google Scholar 

  • Iijima, S., Allpress, J.G.: High resolution electron microscopy of TiO2 22c5 7Nb2O5. J. Solid State Chem. 7, 94–105(1973).

    Article  CAS  Google Scholar 

  • Iijima, S., Allpress, J.G.: Structural studies by high resolution electron microscopy: Tetragonal tungsten bronze type of structures in the system Nb2O5-WO3. Acta Cryst. A 30, 22–29 (1974a).

    Article  Google Scholar 

  • Iijima, S., Allpress, J.G.: Structural studies by electron microscopy: coherent intergrowth of the ReO3 and tetragonal bronze structure types in the system Nb2O5-WO5. Acta Cryst. A 30, 29–36 (1974b).

    Article  Google Scholar 

  • Iijima, S., Kimura, S., Goto, M.: Direct observation of point defects in Nb12O29 by high resolution electron microscopy. Acta Cryst. A 29, 632–636 (1973).

    Article  CAS  Google Scholar 

  • Iijima, S., Kimura, S., Goto, M.: High resolution electron microscopy of non-stoichiometric Nb22O54 crystals: point defects and structural defects. Acta Cryst. A 30, 251–257 (1974).

    Article  Google Scholar 

  • Lynch, D.F., O’Keefe, M.A.: n-beam lattice images II. Methods of calculation. Acta Cryst. A 28, 536–548 (1972).

    Article  CAS  Google Scholar 

  • Scherzer, O.: The theoretical resolution limit of the electron microscope. J. Appl. Phys. 20, 20–29 (1949).

    Article  CAS  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer-Verlag Berlin · Heidelberg

About this chapter

Cite this chapter

Cowley, J.M., Iijima, S. (1976). The Direct Imaging of Crystal Structures. In: Wenk, HR. (eds) Electron Microscopy in Mineralogy. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-66196-9_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-66196-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-66198-3

  • Online ISBN: 978-3-642-66196-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics