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Experimental Approbation of Reference Layer Method in Resonant Neutron Reflectometry

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Abstract—The first application of resonant neutron scattering at Gd atoms for the experimental determination of the phase of the reflection coefficient in neutron reflectometry is presented in this paper. The surface of the sample studied was covered by the reference Gd layer, for which the scattering length of thermal neutrons is highly energy-dependent. After measuring the coefficient of specular reflection of neutrons at three different wavelengths of each impulse, we were able to resolve the phase problem of the neutron reflectometry and determine the absolute magnitude and phase of the complex reflection coefficient from an unknown part of sample structure.

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REFERENCES

  1. B. N. Brockhouse, “Resonant scattering of slow neutrons,” Can. J. Phys. 31, 432–452 (1953).

    Article  CAS  Google Scholar 

  2. S. W. Peterson and H. G. Smit, “Anomalous neutron diffraction in alpha cadmium sulfide,” Phys. Rev. Lett. 6, 7–9 (1961).

    Article  CAS  Google Scholar 

  3. H. G. Smit and S. W. Peterson, “Anomalous dispersion of slow neutrons in crystals,”J. Physique 25, 615–617 (1964).

    Article  Google Scholar 

  4. Yu. V. Nikitenko, A. V. Petrenko, N. A. Gundorin, Yu. M. Gledenov, and V. L. Aksenov, “Isotope-identifying neutron reflectometry,” Crystallogr. Rep. 60, 466–479 (2015).

    Article  CAS  Google Scholar 

  5. C. F. Majkrzak and N. F. Berk, “Exact determination of the phase in neutron reflectometry,” Phys. Rev. B 52, 10827–10830 (1995).

    Article  CAS  Google Scholar 

  6. C. F. Majkrzak and N. F. Berk, “Exact determination of the phase in neutron reflectometry by variation of the surrounding media,” Phys. Rev. B 58, 15416–15418 (1998).

    Article  CAS  Google Scholar 

  7. C. F. Majkrzak, N. F. Berk, V. Silin, and C. W. Meuse, “Experimental demonstration of phase determination in neutron reflectometry by variation of the surrounding media,” Physica B 283, 248–252 (2000).

    Article  CAS  Google Scholar 

  8. B. J. Kirby, P. A. Kienzle, B. B. Maranville, N. F. Berk, J. Krycka, F. Heinrich, and C. F. Majkrzak, “Phase-sensitive specular neutron reflectometry for imaging the nanometer scale composition depth profile of thin-film materials,” Curr. Opin. Colloid Interf. Sci. 17, 44–53 (2012).

    Article  CAS  Google Scholar 

  9. C. F. Majkrzak, E. Carpenter, F. Heinrich, and N. F. Berk, “When beauty is only skin deep: Optimizing the sensitivity of specular neutron reflectivity for probing structure beneath the surface of thin films,” J. Appl. Phys. 110, 102212 (2011).

    Article  Google Scholar 

  10. V. O. De Haan, A. A. van Well, P. E. Sacks, S. Adenwalla, and G. P. Felcher, “Toward the solution of the inverse problem in neutron reflectometry,” Physica B 221, 524–532 (1996).

    Article  CAS  Google Scholar 

  11. V. O. De Haan, A. A. van Well, S. Adenwalla, and G. P. Felcher, “Retrieval of phase information in neutron reflectometry,” Phys. Rev. B 52, 10831–10833 (1995).

    Article  CAS  Google Scholar 

  12. R. Lipperheide, G. Reiss, H. Leeb, H. Fiedeldey, S. A. Sofianos, “Solution of the Inverse Scattering Problem in Specular Reflection,” Phys. Rev. B 51 (16), 11032 (1995).

    Article  CAS  Google Scholar 

  13. Yu. A. Salamatov and E. A. Kravtsov, “Use of gadolinium as a reference layer for neutron reflectometry,” J. Surf. Investig. X-ray, Synchrotron Neutron Tech. 10, 1169–1172 (2016).

    Article  CAS  Google Scholar 

  14. E. S. Nikova, Yu. A. Salamatov, E. A. Kravtsov, and V. V. Ustinov, “Determination of neutron scattering potential of the thin multilayered film with gadolinium reference layer,” Superlat. Microstructures, 109, 201–208 (2017).

    Article  CAS  Google Scholar 

  15. J. E. Lynn and P. A. Seeger, “Resonance effects in neutron scattering lengths of rare-earth nuclides,” Atomic Data and Nuclear Data Tables 44, 191–207 (1990).

    Article  CAS  Google Scholar 

  16. J. Lekner, Theory of Reflection (Springer Science + Business Media, Dordrecht, 1987), p. 12.

  17. F. Abeles, “Recherches sur la propagation des ondes electromagnetiques sinusoidales dans les milieux stratifies,” Ann. Phys. Paris, 12, 596–640 (1950).

    Article  Google Scholar 

  18. E. S. Nikova, Yu. A. Salamatov, E. A. Kravtsov, V. I. Bodnarchuk, and V. V. Ustinov, “Experimental determination of gadolinium scattering characteristics in neutron reflectometry with reference layer,” Physica B 552, 58–61 (2019).

    Article  CAS  Google Scholar 

  19. M. V. Klibanov and P. E. Sacks, “Phaseless inverse scattering and the phase problem in optics,” J. Math. Phys. 33, 3813–3821 (1992).

    Article  Google Scholar 

  20. M. Farle, “Ferromagnetic resonance of ultrathin metallic layers,” Rep. Prog. Phys. 61, 755–826 (1998).

    Article  CAS  Google Scholar 

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ACKNOWLEDGMENTS

The preparation of samples and X-ray measurements were performed in the Collaborative Access Center of the IMP UBRAS.

Funding

The work was carried out within the framework of the state assignment of the Ministry of Education and Science of the Russian Federation under the theme “Spin” AAAA-A18-118020290104-2 and was partially supported by the Russian Foundation for Basic Research (projects Nos. 18-32-00197 and 19-02-00674).

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Correspondence to E. S. Nikova.

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Translated by O. Golovnya

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Nikova, E.S., Salamatov, Y.A., Kravtsov, E.A. et al. Experimental Approbation of Reference Layer Method in Resonant Neutron Reflectometry. Phys. Metals Metallogr. 120, 838–843 (2019). https://doi.org/10.1134/S0031918X19090102

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  • DOI: https://doi.org/10.1134/S0031918X19090102

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