What do bright Bragg diffraction peaks reveal about a quasicrystal?

Bright Bragg diffraction peaks in a quasicrystal reveal that the material possesses long-range order in its atomic positions.1

While amorphous metals produce only diffuse rings in diffraction patterns due to a lack of coherent atomic arrangement, the presence of discrete, sharp spots—Bragg peaks—indicates that the atoms in a quasicrystal are organized according to strict, deterministic rules. Specifically, these peaks demonstrate that the structure is quasiperiodic rather than periodic. Unlike ordinary crystals, where diffraction spots relate to a repeating unit cell, the Bragg peaks of a quasicrystal fill the diffraction pattern densely without a minimum spacing, reflecting a structure that lacks translational symmetry but maintains a high degree of structural order.12