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Correlation effects in multiple small-angle neutron scattering at the surface layers of inhomogeneities

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Abstract

The influence of spatial correlations on the angular distribution of multiple small-angle neutron scattering (MSANS) at the surface layers of inhomogeneities is studied. Calculations are carried out by taking instrumental distortions into account when observing multiple small-angle neutron scattering by means of methods of a double-crystal diffractometer and a small-angle diffractometer with a position-sensitive detector. Within the framework of the eikonal approximation, the MSANS line is calculated, and the influence of the surface-layer thickness and the inhomogeneity concentration on its width is studied.

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References

  1. D. I. Svergun, L. A. Feigin, Small-Angle X-ray and Neutron Scattering, (Nauka, Moscow, 1986) [in Russian].

    Google Scholar 

  2. M. J. Hollamby, Phys. Chem. Chem. Phys. 15, 10566 (2013).

    Article  Google Scholar 

  3. Yu. G. Abov, D. S. Denisov, F. S. Dzheparov, et al., JETP 87, 1195 (1998).

    Article  Google Scholar 

  4. A. J. Allen, J. Am. Ceram. Soc. 88, 1367 (2005).

    Article  Google Scholar 

  5. G. P. Kopitsa, S. V. Grigoriev, V. V. Runov, V. M. Garamus, D. Delman, JETP 81, 556 (2005).

    Article  Google Scholar 

  6. G. Bethe, Phys. Rev. 89, 1256 (1953).

    Article  Google Scholar 

  7. J. Schelten and W. Schmatz, J. Appl. Crystallogr. 13, 385 (1980).

    Article  Google Scholar 

  8. S. V. Maleev and B. P. Toperverg, Sov. Phys. JETP 78, 315 (1980).

    Google Scholar 

  9. N. O. Elyutin, D. V. L’vov, E. V. Rakshun, and A. N. Tyulyusov, J. Surf. Invest.: X-ray, Synchrotron Neutron Tech. 4, 908 (2010).

    Article  Google Scholar 

  10. N. O. Elyutin, D. V. L’vov, and A. N. Tyulyusov, Phys. Solid State 54, 682 (2012).

    Article  Google Scholar 

  11. F. S. Dzheparov and D. V. L’vov, JETP Lett. 72, 360 (2000).

    Article  Google Scholar 

  12. Yu. G. Abov, F. S. Dzheparov, N. O. Elyutin, et al., JETP Lett. 78, 523 (2003).

    Article  Google Scholar 

  13. Yu. G. Abov, F. S. Dzheparov, N. O. Elyutin, D.V. L’vov, and A. N. Tyulyusov, JETP 116, 442 (2013).

    Article  Google Scholar 

  14. F. S. Dzheparov, K. S. Zabelin, and D. V. L’vov, J. Surf. Invest.: X-ray, Synchrotron Neutron Tech. 3, 665 (2009).

    Article  Google Scholar 

  15. M. V. Avdeev and V. L. Aksenov, Phys.–Usp. 53, 971 (2010).

    Article  Google Scholar 

  16. A. V. Belushkin, Pis’ma Fiz. Elem. Chastits At. Yadra 32, 226 (2001).

    Google Scholar 

  17. S. A. Dergunov, K. Kesterson, W. Li, Z. Wang, and E. Pinkhassik, Macromolecules 43, 7785 (2010).

    Article  Google Scholar 

  18. S. Deguchi, S. Mukai, T. Yamazaki, M. Tsudome, and K. Horikoshi, J. Phys. Chem. C 114, 849 (2010).

    Article  Google Scholar 

  19. D. V. L’vov and E. V. Rakshun, Poverkhnost’, No. 8, 51 (2008).

    Google Scholar 

  20. Yu. G. Abov, N. O. Elyutin, D. V. L’vov, et al., Preprint No. 16-02, (Inst. Theor. Exp. Phys., Moscow, 2002).

    Google Scholar 

  21. J. G. Barker, C. J. Glinka, J. J. Moyer, M. H. Kim, A. R. Drews, and M. Agamalian, J. Appl. Crystallogr. 38, 1004 (2005).

    Article  Google Scholar 

  22. L. D. Landau and E. M. Lifshits, Quantum Mechanics: Nonrelativistic Theory (Nauka, Moscow, 1989) [in Russian].

    Google Scholar 

  23. S. R. Kline, J. Appl. Crystallogr. 39, 895 (2006) [in Russian].

    Article  Google Scholar 

  24. J. G. Barker and J. S. Pedersen, J. Appl. Crystallogr. 28, 105 (1995).

    Article  Google Scholar 

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Correspondence to D. V. Lvov.

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Original Russian Text © E.V. Grubova, F.S. Dzheparov, D.V. Lvov, 2016, published in Poverkhnost’, 2016, No. 8, pp. 12–19.

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Grubova, E.V., Dzheparov, F.S. & Lvov, D.V. Correlation effects in multiple small-angle neutron scattering at the surface layers of inhomogeneities. J. Surf. Investig. 10, 783–789 (2016). https://doi.org/10.1134/S1027451016040285

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  • DOI: https://doi.org/10.1134/S1027451016040285

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