Abstract
With increasing accuracy of perfect crystal methods, the effects of apertures (slits) on angular and spacial intensity distributions in dynamical perfect crystal diffraction have become quite important. We present an analytical treatment of such effects. The results are first applied to the diffraction of rays delivered by a source of given lateral extension, i.e. where the critical size of the source as such is essentially influencing the dynamical diffraction phenomena. Both the Laue and the Bragg geometry are considered. Next we calculate the change which a rocking curve measured in either geometry suffers from a slit with varying width and position in front of or between the crystals. Finally we report a pertinent experiment which we have performed in the Laue geometry. We find good agreement with the calculations. It follows that whenever dynamical diffraction is used in quantitative measurement the possible influence of diffraction from diaphragms requires special attention and analysis. For the latter the theory presented here is very well suited.
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References
Laue, M. v.: Röntgenstrahlinterferenzen, 3rd edn. Frankfurt am Main: Akademische Verlagsgesellschaft 1960
James, R.W.: The Optical Principles of the Diffraction of X-rays. London: G. Bell and Sons Ltd. 1967
Zachariasen, W.H.: The Theory of X-ray Diffraction in Crystals. New York: Dover Publications Inc. 1967
Sears, V.F.: Can. J. Phys.65, 1261 (1978)
Tanner, B.K.: X-ray Diffraction Topography. Oxford: Pergamon Press 1976
Bonse, U., Graeff, W.: In: X-ray Optics. Queisser, H.-J. (ed.). Berlin: Springer-Verlag 1977
Bonse, U., Rauch, H.: Neutron Interferometry. Oxford: Clarendon Press 1979
Werner, S.A., Klein, A.G.: In: Neutron Scattering. Price, D.L., Sköld, K. (eds.). New York: Academic Press 1984
Bonse, U.: In: Proceedings of the Enrico Fermi School on Synchrotron Radiation for Crystallography. Hart, M. (ed.). (1986)
Hart, M., Milne, A.D.: Acta Cryst. A26, 223 (1970)
Aldred, P.J.E., Hart, M.: Proc. R. Soc. London Ser. A332, 223 (1973)
Bonse, U., Teworte, R.: Phys. Rev. B29, 2102 (1984)
Deutsch, M., Hart, M.: Acta Cryst. A41, 48 (1985)
Ewald, P.P.: Ann. Physik (4)54, 519 (1917)
Ewald, P.P.: Handbuch der Physik. Bd. XXIII, 2, p. 207. Berlin: Springer 1933
Kato, N.: Z. Naturforsch.15a, 369 (1960)
Aristov, V.V., Kohn, V.G., Polovinkina, V.I.: Phys. Status Solidi (a)62, 431 (1980)
Aristov, V.V., Kohn, V.G., Polovinkina, V.I., Snigirev, A.A.: Phys. Status Solidi (a)72, 483 (1982)
Slobodetskii, I.Sh., Chukhovskii, F.N., Indenbom, V.L.: Zh. eksper. teor. Fiz. Pisma8, 90 (1968)
Authier, A., Simon, D.: Acta Cryst. A24, 517 (1968)
Afanasev, A.M., Kohn, V.G.: Acta Cryst. A27, 421 (1971)
Aristov, V.V., Graeff, W., Polovinkina, V.I., Snigirev, A.A.: Phys. Status Solidi (a)90, 69 (1985)
Rauch, H., Kischko, U., Petrascheck, D., Bonse, U.: Z. Phys. B — Condensed Matter51, 11 (1983)
Bauspiess, W., Bonse, U., Graeff, W.: J. Appl. Cryst.9, 68 (1976)
Kischko, U., Bonse, U.: J. Appl. Cryst.18, 326 (1985)
Bonse, U., Teworte, R.: Z. Naturforsch.37a, 427 (1982)
Bonse, U., Kappler, E.: Z. Naturforsch.13a, 348 (1958)
Schwarzschild, M.M.: Phys. Rev.32, 162 (1928)
Bonse, U., Graeff, W., Teworte, R., Rauch, H.: Phys. Status Solidi (a)43, 487 (1977)
Bonse, U., Teworte, R.: J. Appl. Cryst.13, 410 (1980)
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Teworte, R., Bonse, U. Aperture (slit) effects on the dynamical diffraction of X-rays and thermal neutrons. Z. Physik B - Condensed Matter 65, 275–289 (1987). https://doi.org/10.1007/BF01303713
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DOI: https://doi.org/10.1007/BF01303713