“…11,22,25,32,33 It is to be noted that the radii difference percentage allowance between the doped and substituted ions must be within 30% according to the report of Davolos. 21,34 Moreover, we can calculate the radii difference percentage using the following equation:
where R m (CN) and R d (CN) represent the radii of the host cation and the doped ion, respectively. Considering Ca 2+ ( r = 1.12 Å, CN = 8), Cd 2+ ( r = 1.1 Å, CN = 8), Ga1 3+ ( r = 0.62 Å, CN = 6), Ga2 3+ ( r = 0.47 Å, CN = 4), Ge1 4+ ( r = 0.53 Å, CN = 6), Ge2 4+ ( r = 0.39 Å, CN = 4), and Pr 3+ ( r = 1.126 Å, CN = 8), the D r between Pr 3+ and the host cations are −0.54%, −2.36%, −81.61%, −139.57%, −112.45% and −188.72% for Ca 2+ , Cd 2+ , Ga1 3+ , Ga2 3+ , Ge1 4+ and Ge2 4+ , respectively.…”