Many-Ray Approximation in the Dynamical Theory of Electron Diffraction

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概要

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• From the view-point of the direct application of the dynamical theory rules concerning diffraction amplitudes and intensities under different incident conditions are derived without limitation upon the number of reflections, and some of the approximate approaches to electron diffraction are criticized. The equation does not preserve the invariant property that Miyake pointed out; many-ray effects become serious when the energy goes up into the relativistic region. Under practicable assumptions about crystals it is possible to reduce the dimension of the fundamental equation, actually, an eigenvalue-equation for an hermitian matrix, and to obtain explicit forms of the solutions in some many-ray cases. The expressions of solutions in terms of the crystal parameters are tabulated for such diffraction configurations. Several examples of numerical estimations are illustrated. Finally a criterion for the number of rays to be taken into account is discussed in connexion with the dynamical potentials due to Bethe.

• 社団法人日本物理学会の論文
• 1966-12-05

著者

• FUKUHARA Akira

  Hitachi Central Laboratory

• Fukuhara A.

  Hitachi Central Research Laboratory

関連論文

• Effect of Inelastic Scattering on the Critical Extinction Voltage of Second Order Reflection in Electron Diffraction
• 222 Electron Reflection from Aluminium and Systematic Interaction
• Simultaneous Diffraction and Borrmann Effect
• Vanishing of 222 Kikuchi Line from Ag Crystal
• Inelastic Scattering of Electrons with a Definite Momentum Transfer in a Crystal
• Many-Ray Approximation in the Dynamical Theory of Electron Diffraction

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