X-Ray Diffraction Patterns of Configurational Fibonacci Lattices

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Abstract
Four types of the configurational Fibonacci lattices have been grown by molecular beam epitaxy. The golden mean τ in a present Fibonacci lattice is not associated with the spacing between the alternating layer but is associated with the species of atomic layers or the hexagonal-cubic packing sequence. Many satellite peaks are observed having a self-similarity feature when the instrumental resolution of the X-ray diffraction is extremely high. Special attention was paid for the ABC stacking Fibonacci sequence to compare with the structure of stacking fault observed in a metal alloy such as MgCuAl.