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Measurement of femtometre-scale atomic displacements by X-ray absorption spectroscopy

Abstract

The frequencies of extended X-ray absorption fine-structure (EXAFS)1 measurements, which are oscillations occurring on the high-energy side of an X-ray absorption edge, can be used to identify interatomic distances in materials. We have used a dispersive X-ray spectrometer2,3,4,5, which has no moving components, to make rapid measurements with minimal energy drift of the difference in EXAFS from the Fe K edge in an iron-cobalt thin film undergoing periodic strain through magnetostriction6,7. We show that magnetostriction can be detected by differential X-ray absorption. The magnitude of the recorded signal relative to the noise shows a sensitivity to mean differential atomic motion of one femtometre: a factor of 100 times more sensitive than that normally available8,9.

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Figure 1: A schematic of the experimental layout.
Figure 2: The magnetostrictive differential EXAFS signal.
Figure 3: The main contributions to the calculated fine structure.

References

  1. Sayers, D. E., Stern, E. A. & Lytle, F. W. New technique for investigating noncrystalline structures: Fourier analysis of the extended X-ray absorption fine structure. Phys. Rev. Lett. 27, 1204–1207 (1971)

    ADS  CAS  Article  Google Scholar 

  2. Hagelstein, M., Fontaine, A. & Goulon, J. High brilliance beamline for time-resolved X-ray absorption spectroscopy at ESRF. Jpn. J. Appl. Phys. 32 (suppl. 32–2), 240–242 (1993)

    CAS  Article  Google Scholar 

  3. Hagelstein, M., San Miguel, A., Ressler, T., Fontaine, A. & Goulon, J. The beamline ID24 at the ESRF for energy dispersive X-ray absorption spectroscopy. J. Phys. IV 1(C2), 303–308 (1997)

    Google Scholar 

  4. Pascarelli, S., Mathon, O. & Aquilanti, G. New opportunities for high-pressure X-ray absorption spectroscopy using dispersive optics. J. Alloys Compounds 362, 33–40 (2002)

    Article  Google Scholar 

  5. Koch, A., Hagelstein, M., San Miguel, A., Fontaine, A. & Ressler, T. in IS&T/SPIE Proc. Symp. Electronic Imaging: Science and Technology Vol. 2416 (eds Anagnostopoulos, C. N. & Lesser, M. P.) 85–93 (San Jose, California, 1996)

    Google Scholar 

  6. du Trémolet de Lacheisserie, E. Magnetostriction: Theory and Applications of Magnetoelasticity 133 (CRC, Florida, 1993)

    Google Scholar 

  7. Gibbs, M. R. J. (ed.) Modern Trends in Magnetostriction Study and Application (Kluwer, Dordrecht, 2001)

  8. Aksenov, V. L., Kuzmin, A. Yu., Purans, J. & Tyutyunnikov, S. I. EXAFS spectroscopy at synchrotron-radiation beams. Phys. Particles Nuclei 32, 1–33 (2001)

    Google Scholar 

  9. Dalba, G., Fornasini, P., Grisenti, R. & Purans, J. Sensitivity of extended X-ray-absorption fine structure to thermal expansion. Phys. Rev. Lett. 82, 4240–4243 (1999)

    ADS  CAS  Article  Google Scholar 

  10. Lee, P. A. & Pendry, J. B. Theory of the extended X-ray absorption fine structure. Phys. Rev. B 11, 2795–2811 (1975)

    ADS  CAS  Article  Google Scholar 

  11. Brouder, C., Ruiz-Lopez, M. F., Pettifer, R. F., Benfatto, M. & Natoli, C. R. Systematic approach to the calculation of the polarisation dependent (and polarisation averaged) general term of the curved-wave multiple-scattering series in the x-ray absorption cross-section. Phys. Rev. B 39, 1488–1500 (1989)

    ADS  CAS  Article  Google Scholar 

  12. Benfatto, M., Natoli, C. R., Brouder, C., Pettifer, R. F. & Ruiz Lopez, M. F. Polarized curved-wave extended x-ray-absorption fine structure: Theory and application. Phys. Rev. B 39, 1936–1939 (1989)

    ADS  CAS  Article  Google Scholar 

  13. Mathon, O. et al. XMCD under pressure at the Fe K edge on the energy dispersive beamline of the ESRF. J. Synchrotron Rad. 11, 423–427 (2004)

    CAS  Article  Google Scholar 

  14. Benfatto, M. et al. Multiple scattering regime and higher-order correlations in x-ray-absorption spectra of liquid solutions. Phys. Rev. B 34, 5774–5781 (1986)

    ADS  CAS  Article  Google Scholar 

  15. Rehr, J. J. & Albers, R. C. Theoretical approaches to x-ray absorption fine structure. Rev. Mod. Phys. 72, 621–654 (2000)

    ADS  CAS  Article  Google Scholar 

  16. Hanham, M. L. & Pettifer, R. F. Generalized Ramsauer-Townsend effect in extended x-ray-absorption fine structure. Phys. Rev. B 64, 180101 (2001)

    ADS  Article  Google Scholar 

  17. Bayliss, P. Revised unit cell dimensions, space group, and chemical formula of some metallic minerals. Can. Mineral. 28, 751–755 (1990)

    CAS  Google Scholar 

  18. Ankudinov, A. L., Ravel, B., Rehr, J. J. & Conradson, S. D. Real space multiple scattering calculations of XANES. Phys. Rev. B 58, 7565–7576 (1998)

    ADS  CAS  Article  Google Scholar 

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Acknowledgements

We wish to acknowledge R. Weigel, S. Pasternak, A. Sheffield, A. Lovejoy, P. Pinel, M. Borowski and M.-C. Dominguez for their assistance in performing this experiment, or one of its precursors. R.F.P. thanks the ESRF for hosting a sabbatical leave from the University of Warwick and T. F. Jeranko, M. Ruffoni and R. Dupree for discussions.Authors' contributions R.F.P. conceived the idea, took part in all of the experiments, constructed the theory, performed the calculations and wrote the paper. O.M. took part in all of the experiments, including the unsuccessful precursors and operated ID24. S.P. stabilized ID24, took part in the final measurement and performed major editing of the paper. M.D.C. made the specimens and took part in some of the measurements. M.R.J.G. provided facilities for making the samples, provided magnetostriction expertise and took part in the final measurement.

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Correspondence to Robert F. Pettifer.

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Supplementary information

Supplementary Methods S1

Discussion of data acquisition and treatment. (DOC 23 kb)

Supplementary Methods S2

Discussion of the film preparation and characterization. (DOC 18 kb)

Supplementary Methods S3

Discussion of the origins and approximations used in the derivation of Eqtn. 2. (DOC 40 kb)

Supplementary Methods S4

Discussion of the details involved in the calculation of the differential fine structure. (DOC 1853 kb)

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Pettifer, R., Mathon, O., Pascarelli, S. et al. Measurement of femtometre-scale atomic displacements by X-ray absorption spectroscopy. Nature 435, 78–81 (2005). https://doi.org/10.1038/nature03516

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