“…Ion conductors have a wide range of applications such as solid oxide fuel cells (SOFCs), gas sensors, batteries, and oxygen separation membranes. − The development of SOFCs and high-performance oxygen separation membranes requires new materials with high oxide-ion conductivity. − Improved ion conductivity necessitates a deep understanding of the mechanisms of oxide-ion conduction at an atomic level. ,,− The structural disorder is of vital importance for the ion conduction and various material properties. For example, AgI, β-alumina, stabilized zirconia, LAMOX, fluorite-type bismuth oxide Bi 2 O 3 , and copper iodide CuI exhibit high ion conductivity due to the presence of the structural disorder and ion-diffusion pathways. ,− …”