Advertisement

Kinematic Theory of X-Ray and Neutron Scattering by Defects in Thin Films and Surface Layers

  • R. I. Barabash
  • M. A. Krivoglaz

Abstract

The scattering by bounded defects in thin films and surface layers has been considered by the fluctuation waves method. It is shown that the finite crystal thickness and the relation of displacement fields near the surface affect substantially the intensity distribution at the reciprocal lattice points and lead to qualitative differences from the case of the homogeneous distribution of defects in massive crystals. In the case of free- or end-fixed thin films, the defects with small local distortions can broaden the Bragg peaks or lead to a very strong diffuse scattering the intensity of which is inversely proportional to the fourth power of the distance to the reciprocal lattice point.

Keywords

Bragg Peak Static Displacement Diffuse Scattering Regular Reflection Free Film 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R. Bachmann, H. Kohler, H. Schultz, and H. P. Weber, Structure investigation of a 6 pm CaF2 crystal with synchrotron radiation, Acta Cryst. A41:35 (1985).Google Scholar
  2. 2.
    T. J. Matsubare, Theory of diffuse scattering of X-rays by local lattice distortions, J. Phys. Soc. Japan 7:270 (1952).ADSCrossRefGoogle Scholar
  3. 3.
    H. Kanzaki, Point defects in four-centered cubic lattice. I. Distortion around defects, J. Phys. Chem. Solids 2:24 (1957).MathSciNetADSCrossRefGoogle Scholar
  4. 4.
    M. A. Krivoglaz, Theory of diffuse scattering at X-ray and thermal neutrons by solid solutions. III Role of distortions, Zh. Eksp. Teor. Fiz. 34:204 (1958) (English translation: Sov. Phys. - JETP 34:139–7958).Google Scholar
  5. 5.
    I. N. Sneddon, F. J. Lockett, On the steady-state thermoelastic problem for the half-space and the thick plate, Quarterly Appl. Math. 18:145 (1960).MathSciNetzbMATHGoogle Scholar
  6. 6.
    R. I. Barabash, M. A. Krivoglaz, Static fluctuation waves and scattering of X-rays or thermal neutrons by defects in thin films and surface layers, Preprint of the Institute of Metal Physics, N 11, Kiev (1987)Google Scholar
  7. 7.
    V. B. Molodkin, S. I. Olikhovski, and M. E. Osinovski, Dynamical theory of diffuse scattering of X-rays and electrons in crystals with Coulomb-type defects, Metallofizika 5:3 (1983) (English translation Physics of Metal 5:1 (1984).Google Scholar
  8. 8.
    V. M. Kaganer, V. L. Indenbom, The analysis of diffuse scattering with the effects of dynamic diffraction, Metallofizika 8:25 (1986).Google Scholar
  9. 9.
    M. A. Krivoglaz, “Diffraction of X-rays and Neutrons by Imperfect Crystals”, Naukova Dumka, (1983) (in Russian).Google Scholar
  10. 10.
    L. D. Landau, E. M. Lifshitz, “Theory of Elasticity”, Pergamon Press, Oxford (1970).Google Scholar
  11. 11.
    K. Huang, X-ray reflections from dilute solid solutions, Proc. Royal Soc. 190:102 (1947).ADSCrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1989

Authors and Affiliations

  • R. I. Barabash
    • 1
  • M. A. Krivoglaz
    • 1
  1. 1.Institute of Metal PhysicsAcademy of Sciences of the Ukrainian SSRKiev-142USSR

Personalised recommendations