“…There are three types of potential cation sites that may be replaced by Eu 3+ ions. Generally speaking, the percentage difference between the radius of the doped ion (Eu 3+ ) and the possible replacement ion (Li + /Ca 2+ /Gd 3+ ) can be estimated by the following equation
16 :
where D r is the percentage of the ion radius difference, CN is the coordination number, R m is the radius of the possible substituted ion, and R d is the radius of the doped ion. Here CN = 8, the ionic radii of Li + , Ca 2+ , Gd 3+ , and Eu 3+ are .92 Å, 1.12 Å, 1.053 Å, and 1.066 Å,
17 respectively.…”