Diffraction analysis of decorated Fibonacci chains in the average unit-cell approach

A novel approach to diffraction analysis of decorated quasicrystals is discussed. An average unit cell has been constructed for a decorated Fibonacci chain and used for analysis of its diffraction pattern. After some transformation of the scattering vectors, all the diffraction peaks are described by a single envelope function which is characteristic of a given decoration. It has been shown that by knowing several diffraction intensities, in a limited range of the scattering vector, it is possible to reconstruct the envelope function successfully and distinguish between different decorated structures.