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Page 8 of 13           Liu et al. Microstructures 2023;3:2023008  https://dx.doi.org/10.20517/microstructures.2022.31

               most significant enhancement was observed at 8 wt% monolayer BNT-BST/PVDF nanocomposites, i.e.,
               from 9.53 for pure PVDF to 12.12 at 1 kHz, which is a 27% improvement. It is important to note that the
               dielectric loss of monolayer BNT-BST/PVDF nanocomposites was consistently larger than that of trilayer
               nanocomposites at the same mass fractions. The dielectric loss of 1 wt%, 2 wt%, 4 wt%, 6 wt%, and 8 wt%
               monolayer BNT-BST/PVDF nanocomposites was 0.0199, 0.0201, 0.0228, 0.0253, and 0.0288, respectively, as
               shown in Figure 5E. Figure 5F shows the dielectric loss at 1 kHz for 0-1-0, 0-2-0, 0-4-0, 0-6-0, and 0-8-0
               trilayer BNT-BST nanocomposites to be 0.0165, 0.0172, 0.0206, 0.0243, and 0.0261, respectively. This is
               primarily attributable to the trilayer structure. Compared to the BNT-BST/PVDF nanocomposite layer, the
               pure PVDF outer layer in the symmetric trilayer nanocomposites had lower electron mobility and greater
               insulation, as well as limited charge injection at the dielectric/dielectric interface. In addition, a high number
               of deep traps existed at the interlayer interface of the trilayer structure, thereby impeding the long-distance
               migration of electrons and reducing the leakage current considerably [15,29,38] .

               Figure 6A and B show the corresponding P-E loops for each nanocomposite at the maximum breakdown
               electric field. The BNT-BST nanofibers can enhance saturation polarization at high electric fields due to the
               wide enclosed area between the P-E loop and the vertical P axis, which is advantageous for attaining a larger
               discharge energy density in the nanocomposite. In addition to high saturation polarization, achieving high
               breakdown strength (E ) is crucial for obtaining a high discharge energy density. The effect of BNT-BST
                                   b
               nanofibers with a high aspect ratio on the breakdown strength of nanocomposites is effectively illustrated
               here using the Weibull statistical Equation (1):






               where P(E), E, E , and β are the cumulative failure probability, breakdown electric field of the experimental
                             b
               test sample, breakdown strength with a nanocomposite breakdown probability of 63.2%, and shape
               parameter or slope obtained by fitting, respectively. As shown in Figure 6C and D, the breakdown electric
               field was measured at least nine times for each nanocomposite, and the results were calculated using
               Weibull statistics. The Weibull distribution breakdown electric field for each nanocomposite sample is
               displayed in Figure 6E and F. For example, the E  of pure PVDF, 1 wt%, 2 wt%, 4 wt%, 6 wt%, and 8 wt%
                                                         b
               monolayer  BNT-BST/PVDF  nanocomposites  was  431.3  kV/mm,  432.5  kV/mm,  445.7  kV/mm,
               401.1 kV/mm,  344.6  kV/mm,  and  332.5  kV/mm,  respectively.  In  monolayer  BNT-BST/PVDF
               nanocomposites, the BNT-BST nanofibers with a high aspect ratio and small specific surface area were
               easily dispersed and distributed along the plane during the solution-casting process. When oriented
               perpendicular to the direction of the electric field, BNT-BST nanofibers can provide an ordered electron
                             [39]
               scattering center . The BNT-BST nanofibers extended a tortuous breakdown path in the growth of the
               electrical tree over the breakdown process, thereby limiting the transfer of charges to the electrode,
               hindering the extension of the electrical tree, and resulting in an increase in E b [39,40] . However, the
               overlapping interfaces between PVDF and BNT-BST nanofibers, particularly when the overloaded BNT-
               BST nanofibers aggregate in the PVDF matrix, result in an uneven distribution of the electric field, thus
               providing conducting routes for carriers. In addition, the incorporation of BNT-BST nanofibers leads to
               defects such as air porosity and inorganic-organic interface, which increases the leakage current of BNT-
               BST/PVDF  nanocomposites  and  decreases  E .  Contrary  to  monolayer  nanocomposites,  trilayer
                                                          b
               nanocomposites may spatially modify the distribution of the electric field and have a higher E  despite a
                                                                                                 b
               high filler loading. Specifically, the E  and β of pure PVDF, 0-1-0, 0-2-0, 0-4-0, 0-6-0, and 0-8-0 samples are
                                              b
               431.3  kV/mm  (β~20.7),  535.5  kV/mm  (β~25.3),  568.0 kV/mm  (β~33.3),  524.0  kV/mm  (β~28.8),
               516.7 kV/mm (β~20.5), and 494.7 kV/mm (β~16.1), respectively. The justifications are as follows: first, the
               BNT-BST nanofibers aligned perpendicular to the direction of the electric field increase the electron
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