“…In our host of Ba 3 NaLa(PO 4 ) 3 F, V ¼626.74 Â e 3 , N ¼ 6, and x c ¼0.05, therefore, the critical distance R C is calculated to be 15.86 Â e. In view of the longer distance (more than 5 Â e), the electric multipolar interaction will take place instead of exchange interaction mechanism for energy transfer between Tb 3 þ to Sm 3 þ . According to Dexter's energy transfer expressions of multipolar interaction and Reisfeld's approximation, the following formula can be obtained [29]:…”