Soviet Physics Journal

, Volume 13, Issue 10, pp 1269–1274 | Cite as

The Darwin theory for scattering by an ideal crystal in the asymmetric case

  • A. V. Kuznetsov
  • A. D. Fofanov
Article

Conclusions

  1. 1.

    It has been shown that there was an error in the equations of [3] for the asymmetric Laue case. The corrected equations are given.

     
  2. 2.

    The systems of recurrence equations are converted to systems of homogeneous differential equations to simplify the solution.

     
  3. 3.

    If negative angles are taken into consideration, we can combine systems (7) and (12), as in the Ewald theory. Then system (12) describes both Laue geometry and Bragg geometry in the most general configuration.

     

Keywords

Differential Equation Recurrence Equation Corrected Equation Asymmetric Case General Configuration 

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Literature cited

  1. 1.
    A. Howie and M. I. Whelan, Proc. Roy. Soc.,A263, 217 (1961).Google Scholar
  2. 2.
    B. Borie, Acta Cryst., 21, 4, 470 (1966).Google Scholar
  3. 3.
    B. Borie, Acta Cryst.,23, 2, 210 (1967).Google Scholar
  4. 4.
    G. S. Zhdanov, Fundamentals of X-Ray Structural Analysis [in Russian], GITTL (1940).Google Scholar
  5. 5.
    E. Madelung, Mathematical Tools of Physics [Russian translation], GIFML, Moscow (1960).Google Scholar
  6. 6.
    I. N. Bronshtein and K. A. Semendyaev, Mathematical Handbook [in Russian], GITTL (1954).Google Scholar
  7. 7.
    W. H. Zachariasen, Theory of X-Ray Diffraction in Crystals, John Wiley, New York (1945).Google Scholar
  8. 8.
    I. B. Borovskii, Physical Bases of X-Ray Spectral Studies [in Russian], Izd. MGU (1956).Google Scholar
  9. 9.
    R. W. James, X-Ray Crystallography, Methuen, London (1930).Google Scholar
  10. 10.
    A. H. Compton and S. K. Alison, X-Rays in Theory and Experiment, 2nd ed., Van Nostrand-Rein hold, New York (1935).Google Scholar
  11. 11.
    R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics, No. 7, Addison-Wesley, Reading, Mass. (1964).Google Scholar
  12. 12.
    B. W. Batterman and H. Cole, Rev. Mod. Phys.,36, 3, 681 (1964).Google Scholar

Copyright information

© Consultants Bureau 1973

Authors and Affiliations

  • A. V. Kuznetsov
    • 1
  • A. D. Fofanov
    • 1
  1. 1.O. V. Kuusinen Petrozavod State UniversityUSSR

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