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

  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},
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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