Soviet Physics Journal

, Volume 15, Issue 4, pp 559–563

On the equivalence of methods of Darwin and Ewald-Laue

Generalization of Darwin's method to an arbitrary number of strong waves
  • A. V. Kuznetsov
  • A. D. Fofanov


The fundamental system of equations of the dynamical theory of scattering by an ideal crystal is given by Darwin's method for any number of strong waves. The equivalence of this system and the fundamental system of equations of Ewald-Laue is demonstrated.


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Literature cited

  1. 1.
    C. G. Darwin, Phil. Mag.,27, 315, 675 (1914).Google Scholar
  2. 2.
    P. P. Ewald, Ann. Phys.,54, 519 (1917).Google Scholar
  3. 3.
    M. Laue, Ergebn. Exakt. Naturwiss.,10, 133 (1931).Google Scholar
  4. 4.
    H. Wagenfeld, Acta Crystallogr.,A24, 1, 170 (1968).Google Scholar
  5. 5.
    A. Howie and M. J. Whelan, Proc. Roy. Soc.,A263, 217 (1961).Google Scholar
  6. 6.
    B. Borie, Acta Crystallogr.,23, 2, 210 (1967).Google Scholar
  7. 7.
    H. J. Holloway, J. Appl. Phys.,40, 5, 2187 (1969).Google Scholar
  8. 8.
    A. V. Kuznetsov and A. D. Fofanov, Izv. Vuzov SSSR, Fizika, No. 10, 12 (1970).Google Scholar
  9. 9.
    A. I. Kitaigorodskii, X-Ray Structure Analysis [in Russian], GITTL (1950), p. 211.Google Scholar
  10. 10.
    R. James, Optical Principles of the Diffraction of X-Rays, Cornell Univ. Press (1948).Google Scholar

Copyright information

© Consultants Bureau 1974

Authors and Affiliations

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

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