“…3+ ions are corresponding to transition from the 4 I 15/2 ground state to other higher levels. The 4 I 13/2 , 4 I 11/2 , 4 I 9/2 , 4 F 9/2 , 4 S 3/2 , 2 H 11/2 , 4 F 7/2 , 4 G 11/2 are labeled [16,17] in Figure 2. Table 3.The root-mean-squared error deviation of intensity parameters in samples are 0.26×10 -6 , 0.31×10 -6 and 0.21×10 -6 , respectively [18,19],which indicates that the validity of the calculations.…”