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Recurrent Relations in Grazing Noncoplanar X-ray Diffraction in Multilayer Surface Crystal Structures

  • DIFFRACTION AND SCATTERING OF IONIZING RADIATIONS
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Abstract

The specular reflection of X rays from multilayer crystal structures on the surface of a single crystal under conditions of grazing noncoplanar diffraction is considered. Recurrent relations of a new type are obtained. A high sensitivity of the angular dependence of the specular reflection intensity in the diffraction region to the thickness and number of layers, their deformation, and degree of amorphization is shown.

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REFERENCES

  1. A. M. Afanas’ev, P. A. Aleksandrov, and R. M. Imamov, X-ray Diffraction Diagnostics of Submicron Layers (Nauka, Moscow, 1989) [in Russian].

    Google Scholar 

  2. A. M. Afanas’ev and M. K. Melkonyan, Acta Crystallogr. A 39 (2), 207 (1983). https://doi.org/10.1107/S0108767383000471

    Article  Google Scholar 

  3. P. A. Aleksandrov, A. M. Afanasiev, and S. A. Stepanov, Phys. Status Solidi. A 86 (1), 143 (1984). https://doi.org/10.1002/pssa.2210860114

    Article  ADS  Google Scholar 

  4. P. A. Aleksandrov, A. M. Afanasiev, M. K. Melkonyan, and S. A. Stepanov, Phys. Status Solidi. A 81 (1), 47 (1984). https://doi.org/10.1002/pssa.2210810103

    Article  ADS  Google Scholar 

  5. P. A. Aleksandrov, A. M. Afanas’ev, A. L. Golovin, et al., J. Appl. Crystallogr. 18 (1), 27 (1985). https://doi.org/10.1107/S0021889885009712

    Article  Google Scholar 

  6. P. A. Aleksandrov and S. A. Stepanov, Poverkhnost, No. 6, 117 (1986).

  7. P. A. Aleksandrov, A. M. Afanas’ev, and S. A. Stepanov, Poverkhnost, No. 8, 9 (1984).

  8. I. A. Shipov and M. A. Andreeva, Zh. Tekh. Fiz. 59 (9), 169 (1989).

    Google Scholar 

  9. O. G. Melikyan, Kristallografiya 36 (3), 549 (1991).

    Google Scholar 

  10. V. I. Punegov and A. V. Ladanov, Poverkhnost, No. 4, 45 (1990).

  11. M. A. Andreeva, K. Rocete, and Yu. P. Khapachev, Phys. Status Solidi A 88 (2), 455 (1985). https://doi.org/10.1002/pssa.2210880207

    Article  ADS  Google Scholar 

  12. M. A. Andreeva, Vestn. Mosk. Univ., Ser. 3: Fiz., Astron. 27 (6), 86 (1986).

    Google Scholar 

  13. S. A. Stepanov, Kristallografiya 39 (2), 221 (1994).

    Google Scholar 

  14. S. Stepanov and R. Kohler, J. Phys. D 27 (9), 1922 (1994). https://doi.org/10.1088/0022-3727/27/9/016

    Article  ADS  Google Scholar 

  15. A. M. Afanas’ev and R. M. Imamov, Kristallografiya 40 (3), 446 (1995).

    ADS  Google Scholar 

  16. V. A. Bushuev and A. P. Oreshko, Phys. Solid State 43 (5), 941 (2001).

    Article  ADS  Google Scholar 

  17. V. A. Bushuev, R. M. Imamov, E. Kh. Mukhamedzhanov, and A. P. Oreshko, Crystallogr. Rep. 46 (3), 501 (2001).

    Google Scholar 

  18. V. A. Bushuev, R. M. Imamov, E. K. Mukhamedzha-nov, and A. P. Oreshko, J. Phys. D 35, 1422 (2002). https://doi.org/10.1088/0022-3727/35/12/320

    Article  ADS  Google Scholar 

  19. V. A. Bushuev and A. P. Oreshko, Poverkhn.: Rentgenovskie, Sinkhrotronnye Neitr. Issled., No. 1, 67 (2002).

  20. A. P. Ulyanenkov, S. A. Stepanov, U. Pietsch, and R. Köhler, J. Phys. D 28, 2522 (1995). https://doi.org/10.1088/0022-3727/28/12/020

    Article  ADS  Google Scholar 

  21. C. G. Darwin, Philos. Mag. 27 (3), 675 (1914).

    Article  Google Scholar 

  22. A. V. Kolpakov, Dynamical Diffraction of X Rays (Izd-vo Mosk. Gos. Univ., Moscow, 1989) [in Russian].

    Google Scholar 

  23. L. G. Parratt, Phys. Rev. 95 (2), 359 (1954). https://doi.org/10.1103/PhysRev.95.359

    Article  ADS  Google Scholar 

  24. A. P. Oreshko and V. A. Bushuev, Vestn. Mosk. Univ., Ser. 3: Fiz., Astron., No. 5, 40 (2003).

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    V. A. Bushuev & A. P. Oreshko

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  1. V. A. Bushuev
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  2. A. P. Oreshko
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Correspondence to A. P. Oreshko.

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The authors declare that they have no conflicts of interest.

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Translated by Yu. Sin’kov

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Bushuev, V.A., Oreshko, A.P. Recurrent Relations in Grazing Noncoplanar X-ray Diffraction in Multilayer Surface Crystal Structures. Crystallogr. Rep. 68, 396–401 (2023). https://doi.org/10.1134/S1063774523700086

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  • DOI: https://doi.org/10.1134/S1063774523700086

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