“…Due to the wide variety of applications and unique oxygen ion conduction mechanism, the structure of lanthanide silicate apatite has been extensively studied by various experimental methods, such as single crystal and powder x-ray diffraction (XRD) 13,14 , neutron diffraction 12,15 , nuclear magnetic resonance (NMR) 9 , and optical spectroscopy [16][17][18] , as well as theoretical 3 modeling 19 . There are, however, still unresolved issues related to the lattice symmetry, the accuracy of parameter values and their influence on critical properties 13,15,17,19 .…”