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Der gitterfaktor des gaußschen parakristalls

✍ Scribed by Blöchl, Georg ;Bonart, Richard

Publisher
Wiley (John Wiley & Sons)
Year
1986
Weight
561 KB
Volume
187
Category
Article
ISSN
0025-116X

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✦ Synopsis

By using so-called "characteristics", the long-range distortion in Gaussian paracrystals may be described in a way which is independent of the lattice, provided distance and directional fluctuations between neighbouring lattice points are used. By a two-fold Fourier transformsimilar to the approach of Warren and Averbachthe lattice factor, describing the interference effect of the Gaussian paracrystal, is found from the convolution of an ideal reciprocal lattice with a lattice-independent profile function. Threadlike "one-dimensional" Gaussian and ideal paracrystals are identical with each other. Making use of the two-fold Fourier transform, Hosemann's K-factor splits into isolated discs ("Scheibchen") showing Lorentzian profiles. The profile function of two-and three-dimensional Gaussian paracrystals shows a Lorentzian-2/3 or a Lorentzian-2 profile, respectively. The different profiles are experimentally distinguishable when using a position-sensitive detector. Thus, based on experimental results, paracrystalline lattice distortions with Gaussian characteristics are detectable.

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