“…In brief, the CSUC emission intensity, Iem, is proportional to the power n of the NIR excitation power (P NIR), n is the number of Yb 3+ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 When the concentration of Yb 3+ ions is adjusted at the same level (normalized with the same absorbance of Yb 3+ ions), Iem can be written as I'em∝N 1.29 Yb (the calculation details were shown in Supporting Information). Theoretically, the CSUC emission intensity of NaYF4:40%Tb,Yb@CaF2 with different doping concentrations of Yb 3+ ions (20,40 and 60 %) should enhance at least 1-, 2.44-or 4.13-fold, which agrees with the experimental results of 1-, 2.2-and 4.6-fold shown in Figure 4a. The slight differences between the theoretical inference and the experimental data was probably caused by the average distance reduction between the Yb 3+ and Tb 3+ ions, which influences the cooperative energy transfer efficiency.…”