# Multifractal analysis in reciprocal space and the nature of the Fourier transform of self-similar structures

@article{Godrche1990MultifractalAI,
title={Multifractal analysis in reciprocal space and the nature of the Fourier transform of self-similar structures},
author={Claude Godr{\e}che and Jean-Marc Luck},
journal={Journal of Physics A},
year={1990},
volume={23},
pages={3769-3797}
}`
• Published 21 August 1990
• Physics
• Journal of Physics A
The authors propose to use multifractal analysis in reciprocal space as a tool to characterise, in a statistical and global sense, the nature of the Fourier transform of geometrical models for atomic structures. This approach is especially adequate for shedding some new light on a class of structures introduced recently, which exhibit 'singular scattering'. Using the language of measure theory, the Fourier intensity of these models is presumably singular continuous, and therefore represents an…
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