“…As is well known, the distances (R) between RE 3 þ ions become smaller with the increase of RE 3 þ concentration. And because the cross relaxation rates are inversely proportional to R Q , where Q represents the interaction mechanism between RE 3 þ ions, Q equals to 6, 8 or 10 for electric dipole-dipole (D-D), electric dipolequadrupole (D-Q), or electric quadrupole-quadrupole (Q-Q) interactions, respectively, the rates would be intensified greatly with the increase of RE 3 þ concentration, and then result in the decrease of the luminescence intensity at a certain RE 3 þ concentration [20].…”