“…For the annealed-at-1500 °C sample, with V= 352 Å 3 , Xc= 0.3 mol%, N= 2, the calculated Rc value is 32.74 Å, which is quite close to the previous Rc reported for Cr 3+ -doped phosphor [6,31,34,36,37]. This Rc value is much greater than the critical distance of 5 Å for an effective interaction of energy transfer mechanism, implying that the multipolar interaction is accounted for the phosphorus quenching [31,34,36,37]. In addition, there are three main types of the multipolar interactions: dipole-dipole, dipole-quadrupole, quadrupolequadrupole interactions [34,37].…”