“…The formation of the Sm 2 O 3 phase can be attributed to the Sm 3+ content exceeding a percolation threshold for the incorporation into the cubic lattice. At and above 2%, instead of occupying the Ni 2+ sites in the lattice, Sm 3+ ions form a more stable secondary Sm 2 O 3 phase, possibly aggregating around the grain boundary. ,, From the above discussion, we expect that the substitution of much bigger Sm 3+ ions at the Ni 2+ lattice sites produces lattice strain, altering the metal-oxide polyhedra, and leads to a decline in the crystallinity (i.e., size) of the material.…”