“…This crystal structure was stabilized during the incorporation of trivalent elements up to about 50 at.% of the cations for La or Nd [20,21] and to less than 10 at.% of Yb or Lu [18,19]. The incorporation of trivalent elements was examined thanks to the use of fluorite-type Hf 1Àx Ln x O 2Àx/2 [25,26], Zr 1Àx Gd x O 2Àx/2 [27][28][29], or Ce 1Àx Ln x O 2Àx/2 [30][31][32][33][34][35][36][37][38][39][40] solid solutions analogues with the help of several techniques (molecular dynamics [29,32], life-time positon spectroscopy [33], EXAFS [34] or m-Raman spectroscopy [35][36][37][38][39][40]). All these techniques suggested the existence of a mechanism involving the concomitant creation of oxygen vacancies (V Ö ) to counterbalance the lack of positive charges due to the incorporation of the trivalent lanthanide.…”