“…Later, Youn et al also showed the anisotropic proton migration in Ba 5 Er 2 Al 2 ZrO 13 experimentally and by density functional theory (DFT) calculations. Ba 5 A 2 Al 2 ZrO 13 -based oxides ( A = Dy, Tm, Yb, Lu, In, Y 1/4 Ho 1/4 Er 1/4 Yb 1/4 , Y 1/5 Dy 1/5 Ho 1/5 Er 1/5 Yb 1/5 , and Y 0.5 In 1.5 ) have the same crystal structure as Ba 5 Er 2 Al 2 ZrO 13 (10H polytype, hexagonal crystal system, space group P 6 3 / mmc ) and also exhibit significant proton conductivity. ,,,, …”