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Effect of size quantization of the reflection coefficient of an electron beam incident on a thin heteroepitaxial film

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Abstract

The effect of size quantization of the reflection coefficient of electrons incident on a thin single-crystal film located on a substrate has been theoretically predicted. Two methods for observing this effect experimentally are proposed. In the first method, the variation in the intensity of the beam of specularly reflected electrons can be measured by varying the small glancing angle α of the electron beam with a particle energy on the order of 10 keV. In the second method, intensity oscillations of the diffracted beam as a function of the variation in the reflection angle β are measured in the case of a small fixed glancing angle α (on the order of 1°–3°). Thus, the second variant corresponds to studying the intensity distribution along streaks (reflexes) in the case of electron diffraction on a smooth surface. In the second case, the appearance of elastically scattered electrons along the streaks between diffraction reflexes is predicted. Their number (the beam intensity) varies periodically as a function of the angle β.

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References

  1. H. Fröhlich, Physica 6, 406 (1937).

    Article  Google Scholar 

  2. L. L. Change, L. Esaki, and R. Tsu, Appl. Phys. Lett. 24, 593 (1974).

    Article  Google Scholar 

  3. S. M. Shkornyakov, Poverkhnost’, No. 9, 6 (2002).

    Google Scholar 

  4. M. C. W. van Rossum and Th. M. Nieuwenhuizen, Rev.Mod. Phys. 71, 313 (1999).

    Article  Google Scholar 

  5. F. Barra and P. Gaspard, J. Phys. A: Math. Gen. 32, 3357 (1999).

    Article  Google Scholar 

  6. D. W. L. Sprung, Hua Wu, and J. Martorell, Am. J. Phys 61, 1118 (1993).

    Article  Google Scholar 

  7. F. Bloch, Z. Phys. 52, 555 (1928).

    CAS  Google Scholar 

  8. R. Kronig and W. G. Penney, Proc. R. Soc. London A 130, 499 (1931).

    Article  Google Scholar 

  9. E. A. Pshenichnov, Sov. Phys. Solid State 4, 819 (1962).

    Google Scholar 

  10. P. Schnupp, Phys. Status Solidi 21, 567 (1967).

    Article  CAS  Google Scholar 

  11. P. Schnupp, Solid State Electron. 10, 785 (1967).

    Article  Google Scholar 

  12. E. L. Cruz and J. S. Helman, Phys. Rev. B 6, 1751 (1974).

    Article  Google Scholar 

  13. F. Shishido, Tech. Rep. ISSP, Tokyo Univ., Jpn., Ser. A, No. 616 (1973).

    Google Scholar 

  14. S. M. Shkornyakov, M. L. Sal’nikov, and S. A. Semiletov, Sov. Phys. Solid State 19, 398 (1977).

    Google Scholar 

  15. V. K. Ignatovich, Preprint OIYaI No. P4-10778 (Dubna, 1977).

  16. V. K. Ignatovich, Preprint OIYaI No. P4-11135 (Dubna, 1978).

  17. V. K. Ignatovich, Sov. Phys. Usp. 29, 880 (1986).

    Article  Google Scholar 

  18. D. S. Saxon and R. A. Hutner, Philips Res. Rep. 4(2), 81 (1949).

    CAS  Google Scholar 

  19. Y. Peter and M. Cardona, Fundamentals of Semiconductors: Physics and Materials Properties (Springer, New York, 1996; Fizmatlit, Moscow, 2002).

    Google Scholar 

  20. V. P. Dragunov, I. G. Neizvestnyi, and V. F. Gridchin, The Bases of Nanoelectronics (Fizmatkniga-Logos, Moscow, 2006) [in Russian].

    Google Scholar 

  21. S. M. Shkornyakov, in Proceedings of the 6th National Conference RSNE-2007 (IK RAN, Moscow, 2007).

    Google Scholar 

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Correspondence to S. M. Shkornyakov.

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Original Russian Text © S.M. Shkornyakov, 2013, published in Poverkhnost’. Rentgenovskie, Sinkhrotronnye i Neitronnye Issledovaniya, 2013, No. 2, pp. 99–107.

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Shkornyakov, S.M. Effect of size quantization of the reflection coefficient of an electron beam incident on a thin heteroepitaxial film. J. Surf. Investig. 7, 187–194 (2013). https://doi.org/10.1134/S1027451012110110

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  • DOI: https://doi.org/10.1134/S1027451012110110

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