Darwin's theory for the grazing incidence geometry

W. Yashiro, Y. Ito, M. Takahasi, T. Takahashi

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


Darwin's dynamical theory of X-ray diffraction was studied in the case of grazing incidence geometry. It was shown that in such geometry the Darwin theory is not correct. In the two-beam case, the reflectivity of the specular reflection calculated by the original Darwin's theory was slightly different from that calculated by the well-known Fresnel formula. Furthermore, in the three-beam case, there were large discrepancies between the calculations by the Darwin theory and those by the extended dynamical theory proposed by Kishino and Kohra. These discrepancies were resolved when multiple scattering in an atomic plane was taken into account.

Original languageEnglish
Pages (from-to)394-408
Number of pages15
JournalSurface Science
Issue number3
Publication statusPublished - 2001 Sept 10


  • Crystalline-amorphous interfaces
  • Single crystal epitaxy
  • Single crystal surfaces
  • Superlattices
  • Surface structure, morphology, roughness, and topography
  • X-ray scattering, diffraction, and reflection


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