“…Owing to co‐doping of multiple RE ions, some RE ions may indeed undergo valence bond leaps during the substitution process to produce oxygen vacancies and the density of the oxygen vacancies are uncertain, so there is no significant linear relationship among g , δ , Δ d , and σ . Furthermore, the large differences between the concentrations and masses of the multiple principal RE ions, the interaction between different ions, and lattice distortion, which causes ion diffusion hysteresis 55 . That is, under the effect of HE hysteresis diffusion, the diffusion of oxygen ions becomes slower; thus, the σ values of 5–8HERN are lower than those of RENbO 4 ceramics.…”