“…Various combinations of the A, B, and C cations are possible, and these may be classified as follows: (I) substitution of the A cation, e.g., (Y, Tb, Gd, Lu) 3 Al 5 O 12 , − (II) substitution of the B and/or C cations, e.g., (Y, Gd) 3 Al 5– x Ga x O 12 , − Y 3 Sc 2 Al 3– x Ga x O 12 , , and (Y, Lu) 3 Al 5–2 x Mg x Si x O 12 , − and (III) substitution of the A (trivalent and/or divalent states), B, and C cations, e.g., (Ca, Sr) 3 (Y, Lu, Sc) 2 (Si, Ge) 3 O 12 ,− and (Y, Lu) 3– x Ca x Al 5– x Si x O 12 . , Upon Ce 3+ substitution, the Ce 3+ ion takes the place of the A site cation in most cases, due to the similar ionic sizes and charge states of the A cation and Ce 3+ . Accordingly, the local environment around Ce 3+ in the garnet structure can be described as a CeO 8 moiety.…”