Abstract
As an alternative to the Patterson analysis of quasicrystals and aperiodic structures, the reference lattice approach was applied to describe the diffraction pattern of the decorated Thue–Morse sequence. The Thue–Morse sequence is known as an aperiodic structure with a singular continuous Fourier transform. Such a sequence was decorated by combining every letter in the Thue–Morse sequence with a new expression. By using the reference lattice concept it was possible to find the envelope function, that gives the intensity of peaks in the diffraction patterns for main reflections and their satellites.
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