Connection of one-dimensional aperiodic lattices to fibonacci-chains

One-dimensional aperiodic lattices of a row of materials are closely related to certain physical properties of the material. For characterizing the stacking of an aperiodic lattice built up of translationally equivalent layers it is required to find the relationship between characteristic data, derived directly from the intensity distribution on X-ray oscillation pattern of the disordered crystal region in question, and a corresponding quasiperiodic Fibonacci-chain, describing a longer part of the lattice.