Modeling of decagonal quasicrystal lattice

The model of the reciprocal lattice of decagonal quasicrystal has been proposed. It is based on the multiplication of the basis sites' groups according to the proposed rules. This model was shown to provide the information not only on the reciprocal sites location, but also on the intensity of the appropriated diffraction reflections. The physical justification of the proposed model correctness has been provided on the base of projection of six-dimensional hyperlattice onto the three-dimensional space. The possibility of three-indices labeling of the diffraction reflections of decagonal quasicrystals has been exhibited. ► The model of the reciprocal lattice of decagonal quasicrystal has been proposed. ► Relationship between the structure of decagonal and icosahedral quasicrystals is demonstrated. ► Only three index enough for indexing the diffraction reflections of the decagonal quasicrystals.