The Dynamical Theory of X-Ray Diffraction

Publisher Summary The theory that is primarily based on the interaction of the scattered waves with each other and with the crystal lattice is known as the “dynamical theory.” In particular, it has not been possible to deal with the dynamical theory of electron diffraction, and the treatment is confined to the diffraction of X-rays. Many of the fundamental ideas are, however, common to both fields. In dealing with the scattering of X-rays, the effect of the massive atomic nuclei can be neglected and the scattering due to the electrons alone can be considered. It has been supposed that the frequency of the radiation is large in comparison with the critical absorption frequencies of any of the atoms in the crystal, and this may allow neglecting the effects of anomalous scattering and dispersion.

[1]  M. Whelan,et al.  Electron diffraction from crystals containing stacking faults: II , 1957 .

[2]  von C.H. Mac Gillavry Zur prüfung der dynamischen theorie der elektronenbeugung am kristallgitter , 1940 .

[3]  N. Kato Dynamical Theory of Electron Diffraction for a Finite Polyhedral Crystal I. Extension of Bethe's Theory , 1952 .

[4]  R. W. James,et al.  On the temperature factors of X -ray reflexion for sodium and chlorine in the rock-salt crystal , 1927 .

[5]  M. Laue Die Absorption der Röntgenstrahlen in Kristallen im Interferenzfall , 1949 .

[6]  C. H. Bosanquet,et al.  XXIX. The intensity of reflexion of X-rays by rock-salt , 1921 .

[7]  Herbert Wagner Röntgenstrahlung anomaler Schwächung im Falle Braggscher Reflexion , 1956 .

[8]  M. Renninger Zur elektronendichte‐verteilung im Steinsalzgitter , 1952 .

[9]  P. P. Ewald,et al.  Zur Begründung der Kristalloptik , 1916 .

[10]  C. Darwin,et al.  XIV. The reflexion of the X-rays , 1913 .

[11]  J. A. Prins Die Reflexion von Röntgenstrahlen an absorbierenden idealen Kristallen , 1930 .

[12]  G. Borrmann Die Absorption von Röntgenstrahlen im Fall der Interferenz , 1950 .

[13]  M. Laue,et al.  Die Energiströmung bei Röntgenstrahl-Interferenzen in Kristallen , 1952 .

[14]  A. R. Lang,et al.  A study of pendellösung fringes in X‐ray diffraction , 1959 .

[15]  P. Hirsch,et al.  The reflexion and transmission of X-rays in perfect absorbing crystals , 1952 .

[16]  P. Ewald Über den Brechungsindex für Röntgenstrahlen und die Abweichungen vom Braggschen Reflexionsgesetz , 1924 .

[17]  C. Darwin XCII. The reflexion of X-rays from imperfect crystals , 1922 .

[18]  N. Kato,et al.  A theoretical study of pendellösung fringes. I. General considerations , 1961 .

[19]  G. Brindley,et al.  A Quantitative Study of the Reflexion of X-Rays from Crystals of Aluminium , 1929 .

[20]  M. Laue Die Fluoreszenzröntgenstrahlung von Einkristallen (Mit einem Anhang über Elektronenbeugung) , 1935 .

[21]  N. Kato,et al.  The flow of X-rays and materials waves in ideally perfect single crystals , 1958 .

[22]  G. Hildebrandt,et al.  Röntgenstrahl-Fächer im Kalkspat , 1955 .

[23]  M. Renninger,et al.  „Umweganregung“, eine bisher unbeachtete Wechselwirkungserscheinung bei Raumgitterinterferenzen , 1937 .

[24]  N. Kato The energy flow of X‐rays in an ideally perfect crystal: comparison between theory and experiments , 1960 .

[25]  A. H. Compton The Intensity of X-Ray Reflection, and the Distribution of the Electrons in Atoms , 1917 .

[26]  C. Darwin XXXIV. The theory of X-ray reflexion , 1914 .

[27]  D. Coster,et al.  Unterschiede in der Intensität der Röntgenstrahlen-reflexion an den beiden 111-Flächen der Zinkblende , 1930 .

[28]  M. Laue Die dynamische Theorie der Röntgenstrahlinterferenzen in neuer Form , 1931 .