“…For the Na 2 La 2 Ti 3 O 10 and K 2 La 2 Ti 3 O 10 hosts, V ¼ 419.96 Å 3 and 448.27 Å 3 , N ¼ 2 and X c is 0.5, thus the critical distance R c for energy transfer between the Eu 3þ ions in the A 2 La 2 Ti 3 O 10 was estimated to be 9.29 Å for A ¼ Na and 9.50 Å for A ¼ K. These calculated R c values are far beyond 5 Å, indicating the impossibility of exchange interaction [23], while the mechanism of radiation reabsorption is only efficient for the sample with significant overlap between the PL and PLE spectra. It can infer that electric multipolar interactions mechanism dominates energy transfer, and the type of multipolar interaction could be determined from Eq.…”