Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

A crystal structure determined with 0.02 Å accuracy by electron microscopy

Abstract

ELECTRON crystallography has two important advantages over X-ray crystallography for the determination of atomic positions in crystal structures: crystallographic phases can be determined directly from images1, and extremely small samples can be analysed. On the other hand, the strong interaction between electrons and matter gives rise to dynamical effects2 which complicate quantitative analysis of the experimental data. This has led to a pessimistic view of the possibility of direct crystal structure determination by electron crystallography3,4, especially for compounds containing heavy elements. The atomic structures of a few inorganic crystals, mainly oxides, have been determined from electron microscopy images5–7, but in no case was the atomic structure refined. Here we report the complete determination of an unknown structure, for the compound Ti11Se4, by electron crystallography. These results show that crystals that are too small for single-crystal X-ray diffraction and difficult to solve by powder diffraction may nevertheless be amenable to accurate structure determination by electron crystallography.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Similar content being viewed by others

References

  1. DeRosier, D. J. & Klug, A. Nature 217, 130–134 (1968).

    Article  ADS  CAS  Google Scholar 

  2. Cowley, J. M. Diffraction Physics 2nd edn (North-Holland, Amsterdam, 1984).

    Google Scholar 

  3. Atkins, P. W. Physical Chemistry 5th edn (Oxford Univ. Press, 1994).

    Google Scholar 

  4. Gjønnes, J. & Steeds, J. W. in International Tables for Crystallography Vol. C, (ed. Wilson, A. J. C.) 363–365 (Kluwer Academic, Dordrecht, 1992).

    Google Scholar 

  5. Hovmöller, S., Sjögren, A., Farrants, G., Sundberg, M. & Marinder, B.-O. Nature 311, 238–241 (1984).

    Article  ADS  Google Scholar 

  6. Downing, K. H., Hu, M., Wenk, H.-R. & O'Keefe, M. A. Nature 348, 525–528 (1990).

    Article  ADS  CAS  Google Scholar 

  7. Hovmöller, S. Trans. Am. Cryst. Ass. 28, 95–103 (1992).

    Google Scholar 

  8. Simon, A. Angew. Chem. int. Edn. engl. 20, 1–22 (1981).

    Article  Google Scholar 

  9. Owens, J. P. & Franzen, H. F. Acta Crystallogr. B30, 427–430 (1974).

    Article  Google Scholar 

  10. Weirich, T. E., Simon, A. & Pöttgen, R. Z. Anorg. Allg. Chem. 622, 630–634 (1996).

    Article  CAS  Google Scholar 

  11. Weirich, T. E., Pöttgen, R. & Simon, A. Z. Kristallogr. (in the press).

  12. Weirich, T. E., Pöttgen, R. & Simon, A. Z. Kristallogr. (in the press).

  13. Goldstein, J. J. in Introduction to Analytical Electron Microscopy (eds Hren, J. J., Goldstein, J. I. & Joy, D. C.) 83–120 (Plenum, New York, 1979).

    Book  Google Scholar 

  14. Sheldrick, G. M. Acta Crystallogr. A46, 467–473 (1990); SHELXL-93, Program for Crystal Structure Refinement (Göttingen, 1993).

    Article  CAS  Google Scholar 

  15. Doyle, P. A. & Turner, P. S. Acta Crystallogr. A24, 390–397 (1968).

    Article  CAS  Google Scholar 

  16. Hovmöller, S. Ultramicroscopy 41, 121–136 (1992).

    Article  Google Scholar 

  17. Zou, X. D., Sundberg, M., Larine, M. & Hovmöller, S. Ultramicroscopy 62, 103–121 (1996).

    Article  CAS  Google Scholar 

  18. Zou, X. D., Sukharev, Y. & Hovmöller, S. Ultramicroscopy 52, 436–444 (1993).

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Weirich, T., Ramlau, R., Simon, A. et al. A crystal structure determined with 0.02 Å accuracy by electron microscopy. Nature 382, 144–146 (1996). https://doi.org/10.1038/382144a0

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1038/382144a0

This article is cited by

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing