Optical, Structural, and Dielectric Properties of Composites Based on Thermoplastic Polymers of the Polyolefin and Polyurethane Type and BaTiO3 Nanoparticles

In this work, new films containing composite materials based on blends of thermoplastic polymers of the polyurethane (TPU) and polyolefin (TPO) type, in the absence and presence of BaTiO3 nanoparticles (NPs) with the size smaller 100 nm, were prepared. The vibrational properties of the free films depending on the weight ratio of the two thermoplastic polymers were studied. Our results demonstrate that these films are optically active, with strong, broad, and adjustable photoluminescence by varying the amount of TPU. The crystalline structure of BaTiO3 and the influence of thermoplastic polymers on the crystallization process of these inorganic NPs were determined by X-ray diffraction (XRD) studies. The vibrational changes induced in the thermoplastic polymer’s matrix of the BaTiO3 NPs were showcased by Raman scattering and FTIR spectroscopy. The incorporation of BaTiO3 NPs in the matrix of thermoplastic elastomers revealed the shift dependence of the photoluminescence (PL) band depending on the BaTiO3 NP concentration, which was capable of covering a wide visible spectral range. The dependencies of the dielectric relaxation phenomena with the weight of BaTiO3 NPs in thermoplastic polymers blends were also demonstrated.


Introduction
Thermoplastic polyurethane (TPU) is a linear elastomer with both non-polar soft and polar hard segments, resulting from the polymerization reaction of diisocyanates having diols with short-and long-chains, respectively [1,2]. The main interest in TPU and its nanocomposites lies in the fabrication of fused filaments, electronic devices, automotive panels, sporting goods, belts, profile, tubes, hoses, and so on [2][3][4]. Depending on the soft segments, polyester-or polyether-based TPUs are differentiated by abrasion resistance, mechanical properties, hydrolysis resistance, heat aging, injectability, and so on [5][6][7]. The heat resistance as well as the stiffness of TPU are relatively low and therefore blending them with other polymer matrices is seen as an attractive way to improve these properties [8,9]. In this context, blends of TPU with insulating macromolecular compounds such as polyamide [10], polylactic acid [11], polycaprolactone [12], and polyolefins [13,14] have been intensively studied. Thermoplastic polyolefin (TPO), known as polyethylene-polyoctene rubbers, is one of the most common and commercial thermoplastic polymers used due to its high rigidity and good chemical resistance [15,16]. In TPU:TPO mixtures, the polarity and fragility of the TPO are improved, while the low thermal stability, processability, and some mechanical properties of TPU are considerably enhanced [17][18][19].
Since 2013, a continuous effort has been devoted in the development of new composites based on BaTiO 3 NPs, thermoplastic polymers such as polyvinylidene fluoride (PVDF), and various carbon NPs such as graphene [20] or carbon nanotubes [21] for applications in the field of 3D printing devices [3,22], medical devices [21], and textile fibers [21].
As is well known, BaTiO 3 is characterized by a high permittivity of about 10 5 and a low dielectric loss of~0.05 [23]. Due to the low polarization ability and high dielectric loss of thermoplastic elastomers, the incorporation of a highly polarizable filler like BaTiO 3 NPs in the thermoplastic polymer matrix promotes interfacial (exchange coupling) effects that could significantly enhance the final dielectric performance of the resulting blends for specific electro-active applications [20].
The most widely used solvent mixing techniques for BaTiO 3 nanocomposites are based on the solution casting method or in situ polymerization [20]. At the industrial level, the improvement of the manufacturing performance of polymer blends has led to a melting mixing technique using a co-rotating twin screw extruder for the fabrication of BaTiO 3 -elastomer nanocomposites [24]. In this context, we note that it has already found a high real dielectric permittivity (ε r = 5.06) and a low dielectric loss (less than 0.05) in the case of BaTiO 3 incorporated poly(styrene-ethylene/butylene-styrene)-grafted-maleic anhydride elastomers [24] and a significant dielectric permittivity at low frequency (values exceeding 10 4 ) in the PVDF/BaTiO 3 composites [20].
The realization of applications presupposes a good knowledge of the crystallization process of BaTiO 3 in the PVDF matrix. [25] In the case of PVDF/BaTiO 3 composites, the addition of inorganic particles to the matrix of the macromolecular compound has been demonstrated to induce a change in the interfacial polarization process and in the crystallization kinetics of heterogenous nucleation when a wider range of polymer melting temperatures in the presence of BaTiO 3 NPs has been reported [20,25]. Knowledge of the crystallization process of BaTiO 3 NPs in the matrix of TPU and TPO thermoplastic polymers can open perspectives for new applications such as for 3D and 4D printed devices [4,26]. Therefore, preliminary studies focused on the optical, structural, and dielectric properties of composites based on TPU:TPO blends and BaTiO 3 NPs will be shown in this work.

Materials
Thermoplastic elastomers (i.e., TPU and TPO including a hardener, which corresponds to polydimethylsiloxane, marketed under the name of Sylgard TM 186 Silicone elastomer curing agent) were purchased from the Elastollan-BASF Chemical Company (Cleveland, OH, USA). BaTiO 3 nanopowder, N,N -dimethyl formamide (DMF), and C 2 H 5 OH were purchased from Sigma Aldrich (St. Louis, MO, USA).

The Preparation of TPU:TPO Films in the Absence and Presence of BaTiO 3 NPs
The TPU:TPO blends were prepared as free films as follows. In the first stage, a solution of TPU in dimethylformamide (DMF) (0.5 g/8 mL) and another of TPO in C 2 H 5 OH (0.5 g/10 mL), to which was added 0.1 g of the TPO hardener in 2 mL DMF, were prepared under ultrasonication. After ultrasonically mixing them for 5 min, the resulting solution was placed in a Petri dish and dried for 2 h at 100 • C. The resulting film was peeled off the Petri glass and labeled as a TPU:TPO 1:1 blend, this being dried under vacuum to constant weight. Using this protocol and changing the mass ratio of the two thermoplastic polymers, five other free films labeled as blends of TPU:TPO 1:3, TPU:TPO 1:2, TPU:TO 2:1, TPU:TPO  4:1, and TPU:TPO 6:1 were prepared. The thickness of all blends was ca. 43 µm.
The composites based on the TPU:TPO 1:1 blends and BaTiO 3 NPs were prepared as described above, with the only difference being that after mixing the TPU and TPO solutions, the various weights of the inorganic particles (i.e., 0.05, 0.1, 0.23, and 0.3 g) were added under ultrasonication for 10 min. After the thermal treatment at 100 • C and drying under vacuum to constant weight, films labeled as composites based on TPU:TPO 1:1 and BaTiO 3 , having the concentration of inorganic NPs equal to 6.25, 12, 25, and 30 wt.%, respectively, were obtained. As the BaTiO 3 NP concentration in the polymer weight increased from 6.25, 12, 25, and 30 wt.%, the thicknesses of the films changed tõ 43.4, 44.0, 44.6m and 45 µm, respectively.
BaTiO 3 NPs were studied by high-resolution transmission electron microscopy (HRTEM) (JEOL Ltd., Tokyo, Japan). In this order, a suspension of BaTiO 3 NPs in C 2 H 5 OH was prepared and successively transferred onto a copper grid coated with an amorphous carbon support. HRTEM images of the BaTiO 3 NPs were recorded with a JEOL JEM ARM 200 F electron microscope working at 200 keV.

X-ray Diffraction Analysis
X-ray diffraction (XRD) patterns of TPU, TPO, BaTiO 3 , and their composites were performed in a theta-theta configuration in the angular range of 2θ = 5 • -65 • with a Bruker D8 Advance diffractometer (Bruker, Hamburg, Germany).

Fourier Transform Infrared (FTIR) Spectroscopic Analysis
The IR spectra of TPU, TPO, BaTiO 3 , and their composites were recorded using a FTIR spectrophotometer, Vertex 80 model from Bruker (Billerica, MA, USA) with a resolution of 2 cm −1 .

FT-Raman Spectroscopic Analysis
The Raman spectra of TPU, TPO, BaTiO 3 , and their composites were recorded with a FT-Raman spectrophotometer, RFS 100S model, from Bruker (Ettlingen, Germany) with a resolution of 1 cm −1 .

Dielectric Properties
The dielectric properties of composites based on the TPU:TPO blends and BaTiO 3 NPs were examined using dielectric spectroscopy (DS) with the equipment having a high resolution Alpha-A Analyzer from NOVOCONTROL GmBH. The electrical properties were determined at room temperature with the frequency being between 0.01 Hz and 10 MHz and the alternating voltage having the value of 0.3 V. The samples were in the form of platelets with a diameter of approximately 13 mm and their thicknesses varied between 0.095 mm and 0.160 mm. The samples were placed between two circular metal electrodes in a capacitor configuration with plane-parallel armatures.

Differential Scanning Calorimetry (DSC) Analysis
Differential scanning calorimetry (DSC) measurements were performed with a DSC 204 F1 type from Netzsch (Selb, Germany). The experiments were conducted at room temperature to 500 • C in an inert atmosphere of helium (40 mL/min flow gaze rate) and a heating rate of 5 • C/min. The samples were sealed by pressing and an empty Al crucible= was used as the reference. The accuracy of the heat flow measurements was ±0.001 mW. The SEM micrograph of the films based on the TPU:TPO 1:1 blends and the BaTiO 3 NPs are shown in Figure 1. At present, it is necessary to note that TPO is a material that combines crystalline or semi-crystalline thermoplastic components made of polyolefins (hard domain) with amorphous elastomeric components of polyethylene-polyoctene rubbers (soft structure) [27]. Figure 1a reveals a complex morphology consisting of continuous phases of TPO and TPU films, accompanied by a discrete phase that is randomly distributed. Taking into account the TPU composition, it is composed of hard polar segments (urethane component) and soft less-polar segments (long-chain diol) with glassy and rubbery characteristics, respectively. Such a structure is described by a high and low glass transition temperature that induces the thermodynamic incompatibility between hard and soft segments. In this context, the self-assembly of hard segments through physical bonds causes the Gibbs free energy of the film to become positive, inducing a two-phase separation with the formation of a hard-micro-domain aggregation of the urethane segments [28]. Simultaneously, a discrete phase is expected to appear in the TPO film due to a crystalline form of isotactic polypropylene, most often used as the polyolefin thermoplastic phase in the TPO composition [27]. Consequently, the discrete phases of approximately spherical shape belong to both TPO and TPU and they are randomly distributed to form the cross-physical contacts between the amorphous segments of TPU and TPO. A uniform dispersion of BaTiO 3 NPs in the structure of thermoplastic polymers is observed as the amount of BaTiO 3 increases. Most likely, the urethane polar group of TPU ensures good interfacial adhesion and a better dispersion of the polarizable microparticles of BaTiO 3 in the TPU:TPO blends with the increase in BaTiO 3 concentration.

Results and Discussions
In order to show additional information concerning the size of the inorganic NPs, Figure 2 shows the HRTEM image of the BaTiO 3 NPs. The analysis of Figure 2 indicates that in the case of the particle count equal to 100, values of the minimum, maximum, and mean size of the BaTiO 3 NPs equaled 30.04 ± 9.89 nm, 79.93 ± 9.89 nm, and 53.35 ± 9.89 nm, respectively.   (Figure 3c), respectively. In addition, Figure 3b shows a series of small maxima, most probably corresponding to a minor ordered phase formed inside the TPU polymer. The most prominent maximum from this series was the first one, at around 29.3 • , followed by smaller ones at 35.9 • , 39.3 • , 43.1 • , and 47.3 • . These data correlated rather well with a TPU diffraction pattern reported in [29]. In contrast with TPU, significant differences were observed for the XRD pattern of TPO in the 2θ angular domain between 40 • and 65 • . The presence of peaks from 2θ equal to 44.3 • and 64.5 • in the XRD pattern of TPO have also been reported by Z.J. Zhang et al. [30]. These can be correlated with both propylene chains of TPO (hard segments) and carbon black, which is incorporated in the TPO fabrication as an additive in order to stabilize the membrane against UV irradiation or as a filler to increase the hardness of the membrane [31].
As expected, the XRD pattern of the TPU:TPO 2:1 blend (Figure 3d) contained all the peaks of the two thermoplastic polymers. Figure 3e shows the XRD pattern of the composite based on the TPU:TPO 2:1 blend and BaTiO 3 NPs when the inorganic compound concentration was equal to 30 wt.%. In this last case, a sum effect of the three constituents, without disturbing the tetragonal structure of the BaTiO 3 NPs, can be remarked.  Figure 4 shows the Raman spectra of films based on the TPU and TPO thermoplastic polymers as well as their blends. According to Figure 4, the Raman spectrum of TPO can be characterized by lines located at 2908-2968 cm −1 , assigned to the C-H stretching vibrational mode [32]. In the case of the TPU:TPO blend, Figure 4 highlights the following Raman lines located at 1300, 1440, 1618, and 2864 cm −1 , which are attributed to the vibrational modes of deformation of CH-urethane amide, symmetrical stretch of N=C=O + CH 2 deformation, aromatic stretching structure, and CH stretching in the aromatic structure, respectively [33,34].  According to Figure 5, depending on the BaTiO 3 concentration in the film containing the TPU:TPO 2:1 blends, we observed: (i) a gradual increase in the intensity of the Raman lines related to the guest inorganic particle as their concentration increased; (ii) a change in the position of the Raman line from 520 cm −1 (Figure 5e) to 513 cm −1 (Figure 5a) at a lower concentration of BaTiO 3 in the TPU:TPO 2:1 blend (6 wt.%); (iii) an up-shift of the Raman line from 1300 cm −1 (Figure 4b) to 1307 cm −1 (Figure 5d) as the BaTiO 3 concentration increased in the films' structure; and (iv) a down-shift of the Raman line at 2918 cm −1 (Figure 4b) to 2910 cm −1 (Figure 5d). These changes suggest an adsorption of the thermoplastic polymers on the surface of BaTiO 3 NPs via C-H bonds of the TPU amide groups. Complementary information on the vibrational properties of BaTiO 3 , TPU, TPO, and their composites are presented by IR spectroscopy. According to Figure 6, the main IR absorption bands of TPO are located at 787, 1009, 1258, and 2963 cm −1 (Figure 6a); the absorption band of 787 cm −1 can be attributed to the complex vibration mode of CH 2 rock + C-C chain stretching + CH bending [36], and the bands of 1009 and 1258 cm −1 correspond to the -CH 3 rocking vibrational modes and CH bending vibrations, respectively [37]. The last absorption band at 1258 cm −1 can be assigned to the asymmetric stretching vibration modes of the CH 3 -groups [37] and the stretching vibrations of the C-H bonds [32]. The TPUs are located at 816, 1076-1103, 1221, 1310, 1414, 1530, 1597, 1701-1730, 2853-2938, and 3300-3728 cm −1 (Figure 6b). According to the studies reported thus far, the IR band of bending vibrational modes of N-H can be observed at 816 cm −1 , while the absorption bands from 1000-1150, 1202, 1597, and 3100-3600 cm −1 are attributed to the vibrational modes of stretching C(O)-OC, CO stretching in the ether group, C-C + C=C in the benzene ring, and the stretching vibrational modes of the NH group, respectively [38][39][40]. The IR bands of 2853 and 2938 cm −1 are attributed to the anti-symmetrical and symmetrical vibrational modes of the CH bonds, respectively [41,42]. The absorption band located at 1701 cm −1 is assigned to the hydrogen-linked urethane carbonyl group (C=O) [43,44], while the free carbonyl vibration modes are attributed to the IR band located at 1730 cm −1 [41][42][43][44][45]. Moreover, the IR band at 3300 cm −1 is associated with the NH group [45], which means that a partial inter-and intra-molecular hydrogen linkage of NH group is made between the adjacent urethane segments. The advantage of the inter-molecular hydrogen bonds between neighboring polyurethane groups consists of more stable and segregation-free TPU segments. Due to the interconnected effects between TPU and TPO, in the TPU/TPO blend (Figure 6c,d), the IR absorption band at 3300 cm −1 decreased completely in the TPU:TPO 1:2 blend, while the IR vibrational modes of the hydrogen bond-CO group showed a continuous decrease in its corresponding IR band located at 1701 cm −1 with an increase in the TPO concentration in the TPU:TPO blend. This means that the hydrogen bonds between the adjacent urethane groups are significantly suppressed by the surrounding polyolefins segments of TPO, which are likely similar to a wrapped membrane that isolates the CO and NH groups. According to Figure 6, as the mass ratio of the two polymers is changed in favor of TPU, a modification in the ratio between the absorbance of the IR bands from 1009 and 1076 cm −1 can be observed. With an increase in the BaTiO 3 NP concentration in the TPU:TPO 1:1 blend, the following changes can be reported: (i) a downshift of the IR bands from 800, 1018, and 1074 cm −1 (Figure 6e) (Figures 6c and 7). Such a variation can also be observed in Figure 6, when the mass ratio between the two thermoplastic polymers changed. This variation can be explained by taking into account an exchange reaction between TPU and TPO, as shown in Scheme 1.  Returning at Figure 7, the above variations indicate a chemical interaction between TPU and BaTiO 3 NPs, which can be described as an exchange reaction that takes place according to Scheme 2. Regardless of the BaTiO 3 NP concentration in the TPU:TPO 2:1 blend, the increase in the absorbance of the IR band localized in the spectral range 750-900 cm −1 indicates the steric hindrance effects induced in the macromolecular chain of TPO as a consequence of the chemical transformations shown in Scheme 2. Figure 8 presents the PL spectra of TPU, TPO, and the BaTiO 3 NPs recorded at the excitation wavelength equal to 350 nm. The PL spectra of TPU, TPO, and the BaTiO 3 NPs showed a band with the maximum centered at 412 nm (Figure 8a), 441 nm (Figure 8b), and 530 nm (Figure 8c), respectively. The PL band of TPU at 412 nm (Figure 8a) was situated very close to the PL band of polyurethanes containing diphenylmethane 4,4diisocyante at 412 nm [46]. The origin of the PL band of TPU is probably due to the intrinsic chromophore centers based on benzene rings and carbonyl groups from the urethan segment of TPU, determining the appearance of a strong intensity of~3.97 × 10 6 counts/s. Contrary to expectation, TPO also showed a strong PL band, reaching a maximum intensity of~2.38 × 10 6 counts/s, even if the intrinsic chemical structure did not have luminous centers. However, one possible speculation of this result may be the material surface oxidation or the formation of extrinsic carbonyl groups at the TPO surface due to the recorded PL spectrum under normal conditions, namely in the presence of O 2 and water vapor. A strong PL was also observed in polyethylene and propylene [47,48] and the explanation was reported taking into account the susceptibility of O 2 in the air to the surface of these polymers. In turn, the broad PL band of BaTiO 3 in the visibly wide range has also been reported in the literature [49,50], and was attributed to the electron-hole recombination from the predominant TiO 6 clusters observed in the ordered crystalline structure of BaTiO 3 responsible for the weak PL band of the material [50]. From a careful analysis of Figures 8 and 9, the PL band becomes wider for films based on the TPU: TPO blends than the TPU and TPO counterparts, most probably due to the intermembrane transitions and interconnected effects between TPU and TPO. Figure 9 shows the dependence of the PL spectra of the films based on the TPU:TPO blends with the TPU concentration in the mixture of the two thermoplastic polymers. The following variations are highlighted in Figure 9: (i) an enhancement in the intensity of PL spectra of the TPU:TPO 2:1, TPU:TPO 4:1, and TPU:TPO 6:1 blends of 1.25, 4, and 7 times higher than that of the TPU-TPO 1:1 and (ii) a down-shift of the maximum of the emission band from 486 nm to 462 nm, 433 nm and 425 nm, when the concentration of TPU increased in the mixtures of the two thermoplastic polymers labeled TPU:TPO 1:1, TPU:TPO 2:1, TPU:TPO 4:1, and TPU:TPO 6:1, respectively. The intensity of the PL spectrum of the TPU:TPO 2:1 blend with the maximum at 462 nm was equal to 3.01 × 10 7 counts/s (red curve in Figure 9). As the BaTiO 3 NP concentration in the TPU:TPO 2:1 blend increased, the following variations can be observed in Figure 10: (i) a gradual down-shift of the PL band to 459, 445, 439, and 420 nm, when the concentration of BaTiO 3 NPs in the TPU:TPO blend was equal to 6.25, 12, 25, and 30 wt.%, respectively; and (ii) a progressive decrease in the intensity of the PL band at 2.85 × 10 7 , 1.6 × 10 7 , 8.41 × 10 6 , and 5 × 10 6 counts/s, when the concentration of BaTiO 3 NPs in the TPU:TPO blend was equal to 6.25, 12, 25, and 30 wt.%, respectively. These changes have their origin in the recrystallization process of BaTiO 3 NPs in the matrix of thermoplastic polymers, when an uneven crystallization and aggregation of the BaTiO 3 NPs in different places of the membrane matrix and/or the interfacial electron transfer efficiency between BaTiO 3 and the TPU:TPO blends occurs.

Photoluminescence Properties of the Composites Based on the TPU:TPO Blends and BaTiO 3 NPs
A down-shift of the PL band of the film based on the TPU:TPO 4:1 blend and BaTiO 3 NPs with the concentration of 12 wt.% was noted to take place from 433 nm (green curve in Figure 9) to 425 nm ( Figure 11). This behavior was not observed in the case of the film based on the TPU:TPO 6:1 blend and the BaTiO 3 NPs with the concentration of 12 wt.%. In both cases, as shown in Figure 11, the presence of BaTiO 3 NPs induced a decrease in the intensity of the PL band of the TPU:TPO 4:1 and TPU:TPO 6:1 blends. This process is more intense when the TPU weight in the TPU:TPO blend increases. An explanation for this process must consider the intrinsic influence of the chromophore groups of TPU. Considering the intermolecular interaction in TPU, the π electrons of the phenyl rings in the adjacent urethane segments located above and below the TPU sheets tend to overlap with an increase in the TPU concentration in the composite films, thus favoring these non-covalent interactions. Moreover, the π-π interactions of phenyl groups are connected with the carbonyl units coming from the intrinsic chemical structure of TPU, being stabilized and isolated by the surrounding polyolefins segments similar to a coiled membrane. This explanation takes into account the PL generation of polymers [51]. High-mobility π electrons absorb more light and therefore emit a strong PL after relaxation of the photoexcited electrons. We suppose that this is the reason why the PL is suppressed at a low concentration of TPU in the TPU:TPO blends as well as in the films based on the TPU:TPO blends and BaTiO 3 NPs.

Dielectric Properties of the Composites Based on the TPU:TPO Blends and BaTiO 3 NPs
The studied samples show a great variation of the real and imaginary components of the complex dielectric permittivity, ε * = ε − iε , both depending on the frequency and concentration of the BaTiO 3 NPs. The real part, ε , is called the dielectric constant while the imaginary part, ε , is called the dielectric loss. In order to observe the influence of the composition of the sample through the concentration of the BaTiO 3 NPs, we chose an electrical quantity suitable for this purpose. Experimental data on electrical properties of the films containing the TPO:TPU blends and BaTiO 3 NPs are suggested by means of dielectric loss spectra depending on the frequency: ε = ε ( f ), or ε = ε (ω), where ω = 2π f . For both variables, the logarithmic scale is used.
BaTiO 3 is one of the most important ferroelectric materials with a high dielectric constant, high performance of piezoelectricity, and electro-optical effect [56]. High dielectric constant, behavior in frequency and temperature makes it a preferred material in the electronics manufacturing industry, suitable for the manufacture of ceramic miniaturized capacitor, frequency-adjustable devices, or as relaxors [57][58][59]. Figure 12 shows the experimental spectra of dielectric losses (black curves) and H-N fit functions (red curves) in the case of the films containing the TPU:TPO 2:1 blend in the absence and in the presence of the BaTiO 3 NPs when the concentration of the inorganic compound was equal to 6.25, 12, 25, and 30 wt.%. Figure 12 indicates the existence of two maximum points in the dielectric loss spectra, which indicates the presence of two dielectric relaxation processes, one at low frequency below 3 Hz, and the other at high frequencies over 50 kHz. The first dielectric relaxation process was dominant and its maximum point changed depending on the BaTiO 3 NP concentration. In the low frequency region, the H-N functions have a very good overlap on the experimental data, indicating a correct fit. The shape parameters' value, exponents α 1 and β 1 , are close to the unit, indicating Debye-type dielectric relaxation processes. In the order to observe the influence of the concentration of the BaTiO 3 NPs on the electrical properties of the TPU:TPO 2:1 blends, we superimposed on the same graph the spectra of dielectric losses for all the studied samples in Figure 13. The spectrum of the TPO:TPU 2:1 blend showed a maximum point at a frequency of about 2 Hz (black curve). From Figure 13, it can be observed that the maximum point "moves" to a lower frequency when the concentration of BaTiO 3 NPs increased. Characteristic time, τ max , is an important parameter of the dielectric relaxation process. It has two properties that make it important to consider: (a) its value does not depend on the geometric dimension of the sample; in other words, the measurement error for the sample thickness or diameter does not influence it; and (b) the maximum point location in the dielectric loss spectra, with the help of fitting functions, is done with highest precision in comparison with other dielectric relaxation process parameters; the fitted value of relaxation time has the highest confidence.   The experimental results allowed us to assume that the dielectric relaxation processes are dipolar in nature. We considered the electric dipoles of some segments of the polymer chain and the permanent electric dipoles of the BaTiO 3 NPs. The shape of the dielectric permittivity spectra depends on the interaction between the two electrical moments of the TPU:TPO 2:1 host matrix and the BaTiO 3 guest NPs. As the concentration of BaTiO 3 NPs increases, the interaction energy with the polymer chain (segments) increases, which causes the host molecular mobility to decrease. The effect is to increase the characteristic time of the TPU:TPO 2:1 blend with the increase in BaTiO 3 NP concentration.   According to Figure 15, the results of the DSC analysis showed that the incorporation of the BaTiO 3 NPs into the TPU:TPO matrix influenced the thermal stability of the samples. It was observed that the sample with 12 wt.% BaTiO 3 was the most stable, having the highest value of melting temperature (Tm = 330.4 • C). The maxima of melting peaks corresponding to the samples with 25 wt.% BaTiO 3 and 30 wt.% BaTiO 3 were very close ( Table 1), but lower than that of the sample with 12 wt.% BaTiO 3 . On the other hand, at 6.25 wt.% BaTiO 3 , Tm = 306.5 • C, lower than the melting temperature of the TPU:TPO 2:1 blend. It can be seen that the thermal stability of the TPU:TPO 2:1 blend to which was added the BaTiO 3 NPs did not increase proportionally to the amount of inorganic compound, but a critical amount of the BaTiO 3 NPs can lead to an increase in the thermal stability of the macromolecular compounds, as observed in the case of the sample TPU:TPO + 12 wt.% BaTiO 3 . Regarding the melting enthalpies, the TPU:TPO 2:1 blend with 12 wt.% BaTiO 3 had the lowest value (∆H = 33.14 J/g) confirming the stability of the material.

Conclusions
In this work, we reported new results concerning the optical, structural, and dielectric properties of the films containing the TPU:TPO blends and BaTiO 3 NPs. Using SEM, Raman scattering, FTIR spectroscopy, photoluminescence, XRD, and dielectric analysis, the following conclusions can be drawn: (i) the SEM images highlighted that the free films of TPU and TPO are characterized by discrete phases of spherical shape, which are randomly distributed to form the cross-physical contacts between the amorphous segments of TPU and TPO; (ii) XRD analysis demonstrated that the BaTiO 3 NPs had a tetragonal structure that was not disturbed when they were dispersed in the films based on the TPU:TPO blends; (iii) according to the Raman scattering and FTIR spectroscopy studies, an exchange reaction was invoked to take place during the preparation of the films based on the TPU:TPO blends; in the presence of the BaTiO 3 NPs, this exchange reaction induces the appearance in the addition of the compound BaTiO 3-m ; (iv) an enhancement in the PL bands intensities of the TPU:TPO 2:1, TPU:TPO 4:1, and TPU:TPO 6:1 blends of 1.25, 4, and 7 times higher than that of the TPU-TPO 1:1 accompanied by a down-shift of the maximum of the emission band from 486 nm to 462 nm, 433 nm and 425 nm, when the TPU concentration increased in the two thermoplastic polymer blends labeled TPU:TPO 1:1, TPU:TPO 2:1, TPU:TPO 4:1, and TPU:TPO 6:1, respectively, were reported; our studies indicate that the BaTiO 3 NPs play the role of the PL quenching agent of the TPU:TPO blends; and (v) the host matrix of the TPO:TPU 2:1 blend and their composites with the BaTiO 3 NPs showed two distinct processes of well separated dipolar relaxation: one at low frequencies and another at high frequencies. For low frequency relaxation process, the characteristic time increased with an increase in the BaTiO 3 concentration.