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Extinction Length Variation in a Distorted Crystal
Author(s) -
Smirnova I. A.,
Entin I. R.
Publication year - 1988
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221470202
Subject(s) - diffraction , amplitude , scattering , physics , wavelength , sign (mathematics) , lattice (music) , extinction (optical mineralogy) , scattering amplitude , magnitude (astronomy) , optics , condensed matter physics , computational physics , mathematics , mathematical analysis , astronomy , acoustics
Abstract It is shown theoretically and confirmed experimentally that the correction to the extinction length τ depends on the displacement wavelength λ s in a typical dispersion manner, which is associated with the resonance interbranch scattering at λ s = τ. For long waves, the correction is negative and tends to zero as λ s −2in the limit λ s /τ → ∞. For λ s < τ, the correction is positive and, in the limit λ s /τ → 0, it is described by the Debye‐Waller factor. For arbitrary distortions the sign and the magnitude of the correction are determined by the characteristic size of the deformation field. Short‐wave distortions make dynamical reflections narrower and long‐wave distortions broaden them. In the former case diffraction occurs from the average lattice and is characterized by a reduced structure amplitude, whereas in the latter case scattering from the average lattice cannot be taken into consideration.