Skip to main content
SpringerLink
Log in

X-ray diffraction by polydomain crystals modulated by transverse waves of atomic displacements. 1. Single-wave modulation in crystals

  • Diffraction and Scattering of X-Ray and Synchrotron Radiation
  • Published:
Crystallography Reports Aims and scope Submit manuscript

Abstract

The intensity distributions of diffuse X-ray scattering caused by domains characterized by the transverse wave of atomic displacements polarized in the (010) plane and propagating along the [001] direction are calculated by numerical methods analyzed in the kinematical approximation. The regular changes in the intensity and half-width of the satellite peaks are revealed as functions of the wave amplitude and the average domain size. The characteristic features of diffraction are considered in the case where the defect-density wave in the crystal affects the parameters of the displacement wave.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. I. E. Dzyaloshinskii, Zh. Éksp. Teor. Fiz. 46(4), 1420 (1964) [Sov. Phys. JETP 19, 960 (1964)].

    Google Scholar 

  2. I. E. Dzyaloshinskii, Zh. Éksp. Teor. Fiz. 47, 336 (1964) [Sov. Phys. JETP 20, 223 (1964)].

    Google Scholar 

  3. I. E. Dzyaloshinskii, Zh. Éksp. Teor. Fiz. 47, 992 (1964) [Sov. Phys. JETP 20, 665 (1964)].

    Google Scholar 

  4. A. W. Overhauser, Phys. Rev. B: Solid State 3(10), 3173 (1971).

    ADS  Google Scholar 

  5. J. A. Wilson, F. J. Di Salvo, and S. Mahajan, Adv. Chem. Phys. 24(2), 1 (1975).

    Google Scholar 

  6. W. L. McMillan, Phys. Rev. B: Condens. Matter 14(4), 1496 (1976).

    ADS  MathSciNet  Google Scholar 

  7. A. P. Levanyuk and D. G. Sannikov, Fiz. Tverd. Tela (Leningrad) 18(2), 423 (1976) [Sov. Phys.-Solid State 18 (2), 245 (1976)].

    Google Scholar 

  8. A. P. Levanyuk and D. G. Sannikov, Fiz. Tverd. Tela (Leningrad) 18(7), 1927 (1976) [Sov. Phys.-Solid State 18 (7), 1122 (1976)].

    Google Scholar 

  9. A. D. Bruce, R. A. Cowley, and A. F. Murray, J. Phys. C: Solid State Phys. 11(17), 3591 (1978).

    ADS  Google Scholar 

  10. I. K. Bdikin, N. C. Afonikova, et al., Physica C (Amsterdam) 196, 191 (1992).

    ADS  Google Scholar 

  11. B. Sh. Bagautdinov and I. M. Shmyt’ko, Pis’ma Zh. Éksp. Teor. Fiz. 59(3), 171 (1994) [JETP Lett. 59 (3), 182 (1994)].

    Google Scholar 

  12. B. Sh. Bagautdinov, V. V. Gladkii, S. N. Kallaev, et al., Pis’ma Zh. Éksp. Teor. Fiz. 59(2), 113 (1994) [JETP Lett. 59 (2), 119 (1994)].

    Google Scholar 

  13. J. P. Jamet and P. J. Lederer, Phys. Lett. 44, L257 (1983).

    Google Scholar 

  14. P. Lederer, G. Montambaux, J. P. Jamet, and M. Chauvin, Phys. Lett. A 45, L627 (1984).

    Google Scholar 

  15. J. P. Jamet, Phase Transitions 11, 335 (1988).

    Google Scholar 

  16. H.-G. Unruh, Physica C (Amsterdam) 16, 3245 (1983).

    Google Scholar 

  17. M. J. Tello, C. L. Folcia, J. M. Pérez-Mato, et al., Solid State Commun. 60, 581 (1986).

    Google Scholar 

  18. V. S. Vikhnin, in Proceedings of Int. Symposium Synergetics and Cooperation Phenomena in Solids and Macromolecules, Tallinn, Estonia, 1983, p. 91.

  19. V. S. Vikhnin, Dielectrics and Semiconductors (Vysshaya Shkola, Kiev, 1983).

  20. V. S. Vikhnin, Kristallografiya 31(4), 635 (1986) [Sov. Phys. Crystallogr. 31 (4), 374 (1986)].

    Google Scholar 

  21. G. Errandonea, Phys. Rev. B: Condens. Matter 33(9), 6261 (1986).

    ADS  Google Scholar 

  22. C. L. Folcia, F. J. Zúiga, G. Madariaga, et al., Phys. Rev. B: Condens. Matter 40(16), 11037 (1989).

    Google Scholar 

  23. R. A. Cowley, Adv. Phys. 29(1), 1 (1980).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Metal Physics, National Academy of Sciences of Ukraine, ul. Vernadskogo 36, Kiev, 252680, Ukraine

    A. I. Ustinov & L. A. Olikhovskaya

  2. Institute of Solid State Physics, Russian Academy of Sciences, Chernogolovka, Moscow oblast, 142432, Russia

    I. M. Shmyt’ko

Authors
  1. A. I. Ustinov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. L. A. Olikhovskaya
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. I. M. Shmyt’ko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

__________

Translated from Kristallografiya, Vol. 45, No. 3, 2000, pp. 408–416.

Original Russian Text Copyright © 2000 by Ustinov, Olikhovskaya, Shmyt’ko.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ustinov, A.I., Olikhovskaya, L.A. & Shmyt’ko, I.M. X-ray diffraction by polydomain crystals modulated by transverse waves of atomic displacements. 1. Single-wave modulation in crystals. Crystallogr. Rep. 45, 365–373 (2000). https://doi.org/10.1134/1.171200

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.171200

Keywords

Search

Navigation