Identification of the chirality of intermetallic compounds by electron diffraction


A new CBED method is proposed for the identification of the chirality of enantiomorphic crystals, in which asymmetry in the intensity of the reflections of Bijvoet pairs in an experimental symmetrical zone-axis CBED pattern is compared with that of a computer-simulated CBED pattern. The intensity difference for reflections of these Bijvoet pairs results from multiple scattering among relevant Bijvoet pairs of reflections, each pair of which has identical amplitude and different phase angles. With the method, a single CBED pattern is sufficient and chiral identification can be made for all possible enantiomorphic crystals that are allowed to exist in crystallography. The method is successfully applied to some chiral intermetallic compounds.

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


  1. 1.

    T. Hahn, (ed), “International Tables for Crystallography, Volume A: Space-Group Symmetry 4th revised edition”, The International Union of Crystallography by Kluwer Academic Press, Dordrecht (1996) pp. 786–792.

    Google Scholar 

  2. 2.

    G Burns and A.M. Glazer, “Space Groups for Solid State Scientists, 2nd edition”, Academic, Boston, MA (1990).

    Google Scholar 

  3. 3.

    G.H. Stout and L.H. Jensen, “X-Ray Structure Determination A Practical Giide, 2nd edition”, John Wiley & Sons, New York (1989).

    Google Scholar 

  4. 4.

    J.P. Glusker, M. Lewis and M. Rossi, “Crystal Structure Analysis for Chemists and Biologists”, VCH, New York (1994).

    Google Scholar 

  5. 5.

    A. McPherson, “Preparation and Analysis of Protein Crystals”, John Wiley & Sons, New York (1982).

    Google Scholar 

  6. 6.

    J. Drenth, “Principles of Protein X-Ray Crystallography”, Springer-Verlag, Berlin (1994).

    Google Scholar 

  7. 7.

    L. Reimer, “Transmission Electron Microscopy”, Springer-Verlag, Berlin (1984).

    Google Scholar 

  8. 8.

    J.C.H. Spence and J.M. Zuo, “Electron Microdiffraction”, Plenum, New York (1992).

    Google Scholar 

  9. 9.

    P Goodman. and T. W Secomb., Acta Cryst, A33, 126–133 (1977).

    CAS  Article  Google Scholar 

  10. 10.

    P Goodman. and T.W Johnson., Actacryst, A33, 997–1001 (1977).

    CAS  Google Scholar 

  11. 11.

    M Tanaka., H Takayoshi., M Ishida. and Y Endoh., J. Phys. Soc. Jpn, 54, 2970–2974 (1985).

    CAS  Article  Google Scholar 

  12. 12.

    J.M. Cowley, “Diffraction Physics”, North-Holland, Amsterdam (1986).

    Google Scholar 

  13. 13.

    J.M. Cowley and A.F. Moodie, Acta Cryst, 12, 360–367 (1959).

    CAS  Article  Google Scholar 

  14. 14.

    P. Goodman and G. Lehmpfuhl, Acta Cryst, A24, 339–347 (1968).

    Article  Google Scholar 

  15. 15.

    P. Villars and L.D. Calvert, “Pearson's Handbook of Crystallographic Data for Intermetallic Phases”, American Society for metals, Metals park, OH (1985).

    Google Scholar 

  16. 16.

    K. Ishizuka, “Proc. Int. Symp. on Hybrid Analyses for Functional Nanostructure”, Ed. by M. Shiojiri and N. Nishio, Japanese Society of Electron Microscopy, Tokyo (1998) pp. 69–74.

Download references


This work was supported by Grant-in-Aid for Scientific Research (a) from the Ministry of Education, Science and Culture (No. 14350369) and in part by COE 21 Program on United Approach for New Materials Science from the Ministry of Education, Science and Culture.

Author information



Corresponding author

Correspondence to S. Fujio.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Fujio, S., Sakamoto, H., Tanaka, K. et al. Identification of the chirality of intermetallic compounds by electron diffraction. MRS Online Proceedings Library 842, 405–410 (2004).

Download citation