The Ammann-Kramer-Neri tiling model of a P-ZnMgEr Bergman-type quasicrystal based on in-house X-ray diffraction

This study presents the atomic structure solution of a primitive icosahedral Zn_70.83Mg_20.31Er_8.86 quasicrystal using in-house X-ray diffraction and the Ammann-Kramer-Neri tiling framework. The structural model with 344 parameters refined against 2674 Bragg peaks achieves a reasonable R factor of 0.1407. Both Bergman and Tsai clusters, key motifs in the quasicrystal architecture, are identified within the structure, suggesting a hybrid character that bridges traditionally distinct quasicrystal types. The Tsai clusters show positional disorder and unusually short Mg-Mg distances (∼2.3 Å), hinting at the complex nature of the bond. Despite only moderate data resolution, the model reveals phason-related features and relatively low phasonic disorder, consistent with previously modelled Zn-Mg-Tm. This work demonstrates that the tiling can reliably reproduce real atomic configurations, which supports the use of models based on the Ammann-Kramer-Neri tiling in quasicrystalline atomic structure research. The findings contribute to ongoing efforts to decode the structural diversity and physical properties of rare-earth-containing quasicrystals.