The European Physical Journal Special Topics

, Volume 208, Issue 1, pp 67–74

Determination of absolute chirality using resonant X-ray diffraction

Open Access
Regular Article


We have demonstrated that resonant diffraction experiments using the circularly polarized X-ray beam absolutely determines the crystal chirality. Both berlinite and quartz crystals belonging to space group P3221 show higher azimuth-constant intensity for the negative (−) helicity beam than that for the the positive (+) helicity beam for space-group forbidden reflection 001. The relation is opposite for quartz crystal belonging to space group P3121. Theoretical calculation shows that this relation completely agrees with the experimental findings for the enantiomorphic space-group pair P3121 and P3221. This method is applicable to chiral motifs that occur in biomolecules, liquid crystals, ferroelectrics, and multiferroics, etc.


  1. 1.
    Y. Tanaka, et al., Phys. Rev. Lett. 100, 145502 (2008)ADSCrossRefGoogle Scholar
  2. 2.
    Y. Tanaka, et al., Phys. Rev. Lett. 108, 019901 (2012)ADSCrossRefGoogle Scholar
  3. 3.
    S.W. Lovesey, et al., J. Phys.: Condensed Matter 20, 272201 (2008)ADSCrossRefGoogle Scholar
  4. 4.
    Y. Tanaka, et al., Phys. Rev. B 81, 144104 (2010)ADSCrossRefGoogle Scholar
  5. 5.
    Y. Tanaka, et al., Phys. Rev. B 84, 219905 (2011)ADSCrossRefGoogle Scholar
  6. 6.
    Y. Tanaka, et al., J. Phys.: Condensed Matter 22, 122201 (2010)ADSCrossRefGoogle Scholar
  7. 7.
    A.M. Mulders, et al., Phys. Rev. B 81, 092405 (2010)ADSCrossRefGoogle Scholar
  8. 8.
    A.M. Glazer, K. Stadnicka, J. Appl. Crystallogr. 19, 108 (1986)CrossRefGoogle Scholar
  9. 9.
    L.D. Landau, E.M. Lifshitz, Quantum Electrodynamics, vol. 4, 2nd edn. (Pergamon Press, Oxford, 1982)Google Scholar
  10. 10.
    S.W. Lovesey, S.P. Collins, X-ray Scattering and Absorption by Magnetic Materials (Clarendon Press, Oxford, 1996)Google Scholar
  11. 11.
    J. Als-Nielsen, D. McMorrow, Elements of Modern X-ray Physics (John Wiley & Sons, Ltd., New York, 2001)Google Scholar
  12. 12.
    B.E. Warren, X-ray Diffraction (Dover Publications, Inc., New York, 1990)Google Scholar
  13. 13.
    H. Ohashi, et al., AIP Conf. Proc. 879, 523 (2007)ADSCrossRefGoogle Scholar
  14. 14.
    K. Shirasawa, et al., Phys. Rev. ST Accel. Beams 7, 020702 (2004)ADSCrossRefGoogle Scholar
  15. 15.
    S.W. Lovesey, et al., Physics Reports 411, 233 (2005)ADSCrossRefGoogle Scholar
  16. 16.
    N. Thong, D. Schwarzenbach, Acta Crystallogr., Sect. A: Cryst. Phys., Diffr., Theor. Gen. Crystallogr. 35, 658 (1979)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, Springer-Verlag 2012

Authors and Affiliations

  1. 1.RIKEN SPring-8 CentreSayo, HyogoJapan
  2. 2.ISIS Facility and Diamond Light Source Ltd.Didcot, OxfordshireUK

Personalised recommendations