Full-text resources of PSJD and other databases are now available in the new Library of Science.
Visit https://bibliotekanauki.pl

PL EN


Preferences help
enabled [disable] Abstract
Number of results
2002 | 101 | 5 | 767-780

Article title

Klein-Gordon Formulation of X-ray Diffraction in the Laue Cas

Authors

Content

Title variants

Languages of publication

EN

Abstracts

EN
The Takagi-Taupin equations, the fundamental equations for X-ray diffraction deduced from the Maxwell equations, are considered. The connection between the Takagi-Taupin equations and the Klein-Gordon equation is shown. A method of solution of these equations using external differential form formalism is proposed. The solutions for both a narrow and a wide incident beams as a function of boundary conditions is analyzed. The so-called spherical and quasi-plane waves used in the X-ray experimental methods are derived from.

Keywords

EN

Contributors

author
  • Institute of Experimental Physics, University of Warsaw, Hoża 69, 00-681 Warsaw, Poland

References

  • 1. S. Takagi, Acta Crystallogr., 15, 1311, 1962
  • 2. S. Takagi, J. Phys. Soc. Jpn., 26, 1239, 1969
  • 3. I. Bialynicki-Birula, Z. Bialynicka-Birula, Quantum Electrodynamics, Oxford University Press, Oxford 1970
  • 4. W.H. Zachariasen, Theory of X-Ray Diffraction in Crystals, Willey Sons, New York 1945
  • 5. S. Takagi, unpublished results
  • 6. L. Schwartz, Analyse mathématique, Hermann, Paris 1970
  • 7. J. Gronkowski, J. Borowski, E. Zielinska-Rohozinska, Phiplos. Trans. R. Soc. Lond. A, 357, 2721, 1999
  • 8. J. Borowski, Ph.D. Dissertation, University of Warsaw, Warsaw 1998 (in Polish)
  • 9. V. Holý, Phys. Status Solidi B, 111, 341, 1982
  • 10. A.R. Lang, Acta Metallurgica, 5, 358, 1957
  • 11. G. Kowalski, M. Lefeld-Sosnowska, J. Gronkowski, J. Borowski, Philos. Trans. R. Soc. Lond. A, 357, 2707, 1999
  • 12. J. Borowski, Comp. Materials Sci., 5, 286, 1996
  • 13. J. Borowski, J. Gronkowski, J. Alloys Comp., 328, 211, 2001
  • 14. N. Kato, Acta Crystallogr., 14, 526, 1961
  • 15. N. Kato, Acta Crystallogr. A, 36, 770, 1980
  • 16. J. Borowski, J. Gronkowski, J. Phys. D, Appl. Phys., 34, 3496, 2001
  • 17. Z.G. Pinsker, Dynamical Scattering of X-Rays in Crystals, Springer-Verlag, Berlin 1978
  • 18. A. Authier, D. Simon, Acta Crystallogr. A, 24, 517, 1968
  • 19. A.M. Afanasév, V.G. Kohn, Acta Crystallogr. A, 27, 421, 1971

Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.bwnjournal-article-appv101n523kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.