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Polymer-based nanocomposites                                      145

                                                  Fig. 5.5 Multicore model for
                                    Bonded layer
                                      (~1 nm)     nanoparticle-polymer interfaces.
                                                  Reprinted with permission from Prateek
                                                  Thakur VK, Gupta RK. Recent progress
                     Nano            Bound layer  on ferroelectric polymer-based
                    particle          (2–9nm)     nanocomposites for high energy density
                                                  capacitors: synthesis, dielectric
                                     Loose layer  properties, and future aspects. Chem
                                  (several tens of nm)  Rev 2016;116:4260 317. Copyright
                                                  2016 American Chemical Society.
            Diameter of nanoparticle: 20–50nm
            Diameter of nanoparticle: 20–50nm
              Thickness of layers: 10–30nm
              Thickness of layers: 10–30 nm
           Inter-particle distance in polymer matrix
           Inter-particle distance in polymer matrix
                            :
                                  nm
              ( (Surface to surface): 40–100 nm
              Surface to surface
                           )
                             40–100
              The interface has been proposed to consist of a bonded bound and a loose layer. The
           bonded layer is produced when a polymer is tightly bonded to the particle as generally
           observed in case of nanocomposites. The bound layer that overlaps the bonded layer
           represents a strong bond between the polymer chains and the first layer. The third layer
           is a “loosely coupling interaction” layer that possesses free volume and the crystalline
           region of the polymer matrix. On the basis of this multicore model, Smith et al. gave a
           mechanistic hypothesis of the interface structure [33]. Due to the multilayer structure,
           a gradient in the charge mobility is created. The surface charge on the nanoparticle
           accumulates due to the differences in the Fermi levels between the nanoparticles
           and the polymer. And, a redistribution of charge occurs at the interface, forming a
           Helmholtz or Stern layer to maintain charge neutrality at the interface. A diffuse dou-
           ble layer of charge exists far away from the interface in the matrix polymer. To under-
           stand the positive role of the interfacial structure on the dielectric properties of
           nanocomposites, it has been proposed that the diffuse double layer is a region of higher
           charge mobility and strongly effects the dispersion and dielectric properties of the
           nanocomposite. The charge in the Stern layer influences this double layer, and hence,
           the suitable engineering of the interface results in changes in the free volume, mobil-
           ity, and trap sites for charge carriers. Ma et al. explained this phenomenon. They found
           a decrease in the charge mobility in titanium dioxide modified with a polar silane cou-
           pling agent [41]. The filler reduces overlapping of local conductive regions at lower
           concentrations and thus prevents premature dielectric breakdown. Ma et al. observed
           that the surface functionalization of nanofillers does not always enhance the disper-
           sion of fillers. Although, the addition of polar silane-modified TiO 2 nanoparticles in a
           polyethylene matrix lead to agglomeration, a higher breakdown strength was found in
           surface-modified TiO 2 nanocomposites than in the unmodified. The reason proposed
           was a decline in the degree of polymer crystallinity and increased electron scattering
           by the polar interfacial groups. Contrarily, Kim et al. modified the surface with phos-
           phonic acid groups and decreased the aggregation of BaTiO 3 nanoparticles [40]. They
           acquired better properties for the nanocomposite compared with the base polymer.
           Li et al. also got the same results who argued that, the improved energy density of
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