Synthesis, Optical, Chemical and Thermal Characterizations of PMMA-PS/CeO2 Nanoparticles Thin Film

We report the synthesis of hybrid thin films based on polymethyl methacrylate) (PMMA) and polystyrene (PS) doped with 1%, 3%, 5%, and 7% of cerium dioxide nanoparticles (CeO2 NPs). The As-prepared thin films of (PMMA-PS) incorporated with CeO2 NPs are deposited on a glass substrate. The transmittance T% (λ) and reflectance R% (λ) of PMMA-PS/CeO2 NPs thin films are measured at room temperature in the spectral range (250–700) nm. High transmittance of 87% is observed in the low-energy regions. However, transmittance decreases sharply to a vanishing value in the high-energy region. In addition, as the CeO2 NPs concentration is increased, a red shift of the absorption edge is clearly observed suggesting a considerable decrease in the band gap energy of PMMA-PS/CeO2 NPs thin film. The optical constants (n and k) and related key optical and optoelectronic parameters of PMMA-PS/Ce NPs thin films are reported and interpreted. Furthermore, Tauc and Urbach models are employed to elucidate optical behavior and calculate the band gaps of the as-synthesized nanocomposite thin films. The optical band gap energy of PMMA-PS thin film is found to be 4.03 eV. Optical band gap engineering is found to be possible upon introducing CeO2 NPs into PMMA-PS polymeric thin films as demonstrated clearly by the continuous decrease of optical band gap upon increasing CeO2 content. Fourier-transform infrared spectroscopy (FTIR) analysis is conducted to identify the major vibrational modes of the nanocomposite. The peak at 541.42 cm−1 is assigned to Ce–O and indicates the incorporation of CeO2 NPs into the copolymers matrices. There were drastic changes to the width and intensity of the vibrational bands of PMMA-PS upon addition of CeO2 NPs. To examine the chemical and thermal stability, thermogravimetric (TGA) thermograms are measured. We found that (PMMA-PVA)/CeO2 NPs nanocomposite thin films are thermally stable below 110 °C. Therefore, they could be key candidate materials for a wide range of scaled multifunctional smart optical and optoelectronic devices.


Introduction
Nanocomposites based on blending polymers with inorganic nanoparticles have attracted much attention owing to their projected extraordinary thermal, optical, electrical and antibacterial properties [1][2][3][4]. The motivation for using inorganic materials stems from their high thermal stability, good electrical properties and high refractive index n [5,6]. However, previous studies indicate several drawbacks and insufficient capability of inorganic nanoparticles to serve a variety of modern device applications [7]. Of these disadvantages, there are the deficiency of elasticity, high cost and their high densities. As a result, several researchers were motivated to search for nanocomposite materials based on blending inorganic nanoparticles with organic materials to improve their properties

Experimental Details and Techniques
Polystyrene (PS) with a molecular weight 104.1 g/mol, polymethyl methacrylate (PMMA) with a molecular weight 3617 g/mol, and Ceria NPs with molecular weight 172 g/mol were purchased from Sigma Aldrich (St. Louis, MO, USA). Polystyrene (PS) solution was prepared in a conical flask by dissolving 2 g of PS in 200 mL of tetrahydrofuran (THF) Sol(A) and then placed on a stirrer for 1 h. Polymethyl methacrylate (PMMA) solution was prepared by dissolving 2 g of PMMA in 200 mL THF Sol(B) under continuous stirring for 1 h. Immediately after that, Sol (A) was added to Sol (B) under continuous stirring to synthesize 1:1 co-polymeric matrix. The polymeric mixture is expected to exhibit extraordinary physical, thermal and optical properties. Cerium oxide nanoparticles purchased from (Sigma Aldrich, St. Louis, MO, USA) of size  nm were added to as-prepared copolymers matrix with different concentration ratios (1%, 3%, 5% and 7%). To ensure that CeO 2 nanoparticles were incorporated homogenously into the PMMA-PS matrix, the solution was alternatively mixed on a magnetic stirrer and a sonication rod. The substrates were cleaned and rinsed using ethanol and distilled water. The PMMA-PS/CeO 2 nanocomposite thin films were synthesized by dip-coating technique. The two layers were dried at 70 • C for 30 min for each layer. The effect of introducing CeO 2 nanoparticles on the optical properties was performed using UV-Vis spectrophotometer (U-3900H) (Hitachi, Fukuoka, Japan) with a total internal integrating sphere. Particularly, transmittance T% (λ) and reflectance R% (λ) of PMMA-PS/CeO 2 NPs thin films at room temperature in (250-700) nm spectral range are measured and interpreted. Electron Scanning Microscope (SEM) (Quanta FEG 450) (FELMI-ZFE, Graz, Austria) is utilized to investigate the surface morphology of as-prepared thin films. Thermogravimetric analysis (TGA) technique is used to study thermal stability of as-synthesized doped polymeric thin films. To identify the major vibration modes and types of different bonding networks of the PMMA-PS/CeO 2 nanocomposites, Fourier transform infrared spectroscopy (FTIR) (Bruker Vertex 80 and Hyperion 2000 microscope) (Bruker Optics, Karlsruhe, Germany) analysis is conducted.

Result and Discussion
3.1. Optical Properties of PMMA-PS/Ce NPs Thin Film 3.1.1. Transmittance and Reflectance UV-Vis spectrophotometer was used to explore and investigate the optical properties of PMMA-PS thin films doped with various Ce NPs concentrations. Figure 1 shows the transmittance of PMMA-PS/Ce NPs thin films. Analysis and interpretation of transmittance data can be partitioned into two spectral regions. Namely, low energy region (700 ≥ λ ≥ 350) nm in which all samples exhibit a high transparency of about 87%. The high energy region (250 ≤ λ ≤ 350) nm is where transmittance starts to decay to a vanishing value. This region contains the absorption edge [46] that is red-shifted upon increasing the concentration of Ce NPs in the polymeric matrix suggesting a significant reduction of optical band gap energy of (PMMA-PS)/CeO 2 nanocomposite thin films [47]. The incorporation of CeO 2 NPs into polymeric matrix leads to a compression of the host matrix. Compressive strain introduced into PMMA-PS matrix can cause a red shift as a result of the changes of a built-in electric field. The polarization should be affected by doping and causes a red shift. Figure 2 shows the reflectance of (PMMA-PS)/CeO 2 nanocomposite thin films. It can be clearly observed that reflectance of PMMA-PS, PMMA-PS/1%, 3%, 5%, and 7% CeO 2 NPs thin film exhibit values of (7.6-10.1%), (9.2-9.8%), (9.3-10.2%), (8.7-10.4%), (9-11.5%), respectively.  Figure 2 shows the reflectance of (PMMA-PS)/CeO2 nanocomposite thin films. It can be clearly observed that reflectance of PMMA-PS, PMMA-PS/1%, 3%, 5%, and 7% CeO2NPs thin film exhibit values of (7.6-10.1%), (9.2-9.8%), (9.3-10.2%), (8.7-10.4%), (9-11.5%), respectively.

Extinction Coefficient and Refractive Index
The extinction coefficient k for all samples was calculated using the formula = /4 where is the absorption coefficient defined by = (1/ ) ln(1/ ) where d is the thickness of thin films estimated to be 250 nm [48,49]. The use of inorganic ceria nanoparticles into the polymer matrix can provide high-performance novel materials that find applications in many industrial fields. With this respect, frequently considered features are optical properties such as light absorption. Figure 3 shows the extinction coefficient k calculated in the spectral range (250-700) nm as a function of incident wavelength. For the spectral range 700 ≥ ≥ 350 nm, k exhibits a vanishing value for all investigated thin film samples; this means that thin films allow electromagnetic waves to pass through without any decay or damping for photons  Figure 2 shows the reflectance of (PMMA-PS)/CeO2 nanocomposite thin films. It can be clearly observed that reflectance of PMMA-PS, PMMA-PS/1%, 3%, 5%, and 7% CeO2NPs thin film exhibit values of (7.6-10.1%), (9.2-9.8%), (9.3-10.2%), (8.7-10.4%), (9-11.5%), respectively.

Extinction Coefficient and Refractive Index
The extinction coefficient k for all samples was calculated using the formula = /4 where is the absorption coefficient defined by = (1/ ) ln(1/ ) where d is the thickness of thin films estimated to be 250 nm [48,49]. The use of inorganic ceria nanoparticles into the polymer matrix can provide high-performance novel materials that find applications in many industrial fields. With this respect, frequently considered features are optical properties such as light absorption. Figure 3 shows the extinction coefficient k calculated in the spectral range (250-700) nm as a function of incident wavelength. For the spectral range 700 ≥ ≥ 350 nm, k exhibits a vanishing value for all investigated thin film samples; this means that thin films allow electromagnetic waves to pass through without any decay or damping for photons

Extinction Coefficient and Refractive Index
The extinction coefficient k for all samples was calculated using the formula k = αλ/4π where α is the absorption coefficient defined by α = (1/d) ln(1/T) where d is the thickness of thin films estimated to be 250 nm [48,49]. The use of inorganic ceria nanoparticles into the polymer matrix can provide high-performance novel materials that find applications in many industrial fields. With this respect, frequently considered features are optical properties such as light absorption. Figure 3 shows the extinction coefficient k calculated in the spectral range (250-700) nm as a function of incident wavelength. For the spectral range 700 ≥ λ ≥ 350 nm, k exhibits a vanishing value for all investigated thin film samples; this means that thin films allow electromagnetic waves to pass through without any decay or damping for photons with wavelengths λ ≥ 350 nm. In the high frequency regions, 250 ≤ λ ≤ 350 nm, k increases and attains a maximum value at 290 nm. This can be attributed to extremely high absorption of the energetic EM waves in this region. Figure 3 indicates that such energetic EM waves having energies very close to the optical band gap energy of the nanocomposite thin film are largely absorbed. Exceptionally, (PMMA-PS)/CeO 2 3% nanocomposite thin films exhibit the highest extinction coefficient indicating that energetic EM waves are completely absorbed in this case.
with wavelengths λ ≥ 350 nm. In the high frequency regions, 250 ≤ ≤ 350 nm, k increases and attains a maximum value at 290 nm. This can be attributed to extremely high absorption of the energetic EM waves in this region. Figure 3 indicates that such energetic EM waves having energies very close to the optical band gap energy of the nanocomposite thin film are largely absorbed. Exceptionally, (PMMA-PS)/CeO2 3% nanocomposite thin films exhibit the highest extinction coefficient indicating that energetic EM waves are completely absorbed in this case. Refractive index (n) is generally associated with the electronic polarization of ions and local field inside optical materials. Compared to inorganic solids, optical applications of polymers are often limited due to the relatively narrow range of the refractive index. Thus, the introduction of inorganic nanoparticles into a polymer matrix can result in polymeric nanocomposites with extreme refractive index, which finds potential applications in lenses, optical filters, reflectors, optical waveguides, optical adhesives, solar cells, or antireflection films. To elucidate a deeper insight into optical properties, refractive index (N) is essentially composed of real part (n) and imaginary part (k); Figure 4 shows that n of PMMA-PS exhibits values ranging between 1.76 and 2.13. Introducing 1% of CeO2 NPs into polymeric matrix leads to a slight increase of n (1.86-2.15). As the CeO2 NPs concentrations is increased to 3%, 5%, and 7%, n continuously increases to (1.88-2.15), (1.83-2.18) and (1.85-2.26). Consequently, (PMMA-PS)/CeO2 nanocomposite thin films could be potential candidates as excellent reflective material [51]. Refractive index (n) is generally associated with the electronic polarization of ions and local field inside optical materials. Compared to inorganic solids, optical applications of polymers are often limited due to the relatively narrow range of the refractive index. Thus, the introduction of inorganic nanoparticles into a polymer matrix can result in polymeric nanocomposites with extreme refractive index, which finds potential applications in lenses, optical filters, reflectors, optical waveguides, optical adhesives, solar cells, or antireflection films. To elucidate a deeper insight into optical properties, refractive index (N) is essentially composed of real part (n) and imaginary part (k); (N = n + ik) where [50]. Figure 4 shows that n of PMMA-PS exhibits values ranging between 1.76 and 2.13. Introducing 1% of CeO 2 NPs into polymeric matrix leads to a slight increase of n (1.86-2.15). As the CeO 2 NPs concentrations is increased to 3%, 5%, and 7%, n continuously increases to (1.88-2.15), (1.83-2.18) and (1.85-2.26). Consequently, (PMMA-PS)/CeO 2 nanocomposite thin films could be potential candidates as excellent reflective material [51].
related to the type of the thin film. Figure 5 shows the relationship between the energy of incident photons (E = hv) and (αhv) 2 . The optical band gap energy E g of (PMMA-PS)/CeO 2 nanocomposite thin films with various CeO 2 NPs concentrations is obtained by extrapolating the liner part of Tauc plot to the interception of the incident photon energy (hv). The obtained optical band gap energy of PMMA-PS is calculated to be E g = 4.03 eV consistent with previously reported values [52,53]. As the CeO 2 NPs concentrations is increased to 1%, 3%, 5%, and 7%, optical band gap decreases to 3.97 eV, 3.76 eV, 3.63 eV, and 3.6 eV respectively. Thus, band gap engineering could be achieved effectively by inserting a specific concentration of CeO 2 NPs in the polymeric thin films.

Band Gap Energy Eg
Optical band gap energy of as-prepared doped thin films is investigated using Tauc plot model. According to this model, ( ℎ ) = ℎ − ( / ) , where B is a constant related to the type of the thin film. Figure 5 shows the relationship between the energy of incident photons ( = ℎ ) and ( ℎ ) . The optical band gap energy Eg of (PMMA-PS)/CeO2 nanocomposite thin films with various CeO2 NPs concentrations is obtained by extrapolating the liner part of Tauc plot to the interception of the incident photon energy (ℎ ). The obtained optical band gap energy of PMMA-PS is calculated to be Eg = 4.03 eV consistent with previously reported values [52,53]. As the CeO2 NPs concentrations is increased to 1%, 3%, 5%, and 7%, optical band gap decreases to 3.97 eV, 3.76 eV, 3.63 eV, and 3.6 eV respectively. Thus, band gap engineering could be achieved effectively by inserting a specific concentration of CeO2 NPs in the polymeric thin films. Refractive index dispersion is one of the most crucial parameters. Moreover, calculating dispersion energies is essential to obtain a deeper insight into the applications of (PMMA-PS)/CeO 2 nanocomposite thin films for optical devices [51]. Therefore, refractive index and dispersion energies must be studied carefully to specify the potential application of the material [54]. Figure 6 shows optical band gap energy E g plotted versus CeO 2 NPs concentration (%). It can be noticed that E g decreases exponentially with ceria NPs concentration.

Wemple DiDomenico Model
Wemple DiDomenico model (WDD) is a classical single effective-oscillator model. This model can be utilized to calculate key optical dispersion parameters such as effective single oscillator energy E o and dispersion energy E d for certain optical materials. The E o parameter provides essential information about the band structure of the polymeric thin film, while E d is associated with the mean potency of interband photosensitive transitions and the structural fluctuations [55]. Furthermore, WDD model can be employed to estimate other optical parameters such as the zero frequency-refractive index (n 0 ), zero-frequency  Refractive index dispersion is one of the most crucial parameters. Moreover, calculating dispersion energies is essential to obtain a deeper insight into the applications of (PMMA-PS)/CeO2 nanocomposite thin films for optical devices [51]. Therefore, refractive index and dispersion energies must be studied carefully to specify the potential application of the material [54]. Figure 6 shows optical band gap energy Eg plotted versus CeO2 NPs concentration (%). It can be noticed that Eg decreases exponentially with ceria NPs concentration.

Wemple DiDomenico Model
Wemple DiDomenico model (WDD) is a classical single effective-oscillator model. This model can be utilized to calculate key optical dispersion parameters such as effective single oscillator energy and dispersion energy for certain optical materials. The parameter provides essential information about the band structure of the polymeric thin film, while is associated with the mean potency of interband photosensitive transitions and the structural fluctuations [55]. Furthermore, WDD model can be employed to estimate other optical parameters such as the zero frequency-refractive index ( ), zerofrequency dielectric constant , and the spectral moments and . The relationships of different parameters can be expressed as, Equation (1) can be rewritten as, The energy of incident photon (ℎ ) can be plotted against ( − 1) to obtain the values of dispersion parameters from the slope of the obtained straight line ( ) and Equation (1) can be rewritten as, The energy of incident photon (hv) can be plotted against n 2 − 1 −1 to obtain the values of dispersion parameters from the slope of the obtained straight line (E d E o ) −1 and the interception with the vertical axis (E 0 /E d ).
The obtained values of ε 0 are presented in Table 1 Table 1. Moreover, the effective single oscillator moments M −1 and M −3 can be correlated with dispersion parameters [59][60][61].
Polymers 2021, 13, x FOR PEER REVIEW 8 of 18 the interception with the vertical axis ( / ). Figure 7a,b display ( − 1) versus (ℎ ) and ( − 1) versus ( ) of (PMMA-PS)/CeO2 nanocomposite thin films incorporated with various concentrations of CeO2 NPs. The values of the two important dispersion parameters and obtained from the two plots are listed in Table 1. Careful inspection of the values of and parameters of PMMA-PS are found to be 6.893 eV and 4.063 eV, respectively. The corresponding attained values of (PMMA-PS)/CeO2 1% are 14.484 eV and 6.333 eV, indicating a significant increase as only a small concentration of CeO2 NPs are incorporated into polymeric films.    As demonstrated by Table 1 This behavior could be explained in terms of the significant decrease in the polarization of (PMMA-PS)/CeO 2 NPs nanocomposite thin films [62].

Sellmeier Oscillator Parameters
From another perspective, we employ Sellmeier oscillator model to elucidate the dispersion in thin films in terms of the average oscillator wavelength (λ 0 ) and on the oscillator length strength (S 0 ). Refractive index and the squared wavelength at higher wavelength are related to λ 0 and S 0 by the formula, By plotting n 2 − 1 −1 versus λ −2 , we calculate S 0 from the slope of the resulting straight line (1/S 0 ). The values of (λ 0 ) can be obtained from the intercept with the vertical axis 1/λ 2 0 S 0 as can be clearly seen from Figure 7b. It clearly shows that the refractive index at higher wavelength adopts Sellmeier's dispersion relation. The calculated values of S 0 and λ 0 are tabulated in Table 1. It reveals that S 0 and λ 0 of PMMA-PS are found to be 306.200 × 10 −5 and 306.200 nm, respectively. For PMMA-PS/CeO 2 NPs nanocomposites S 0 decreases and λ 0 increases. These tendencies hold up to 5% of CeO 2 NPs incorporated into polymeric films.

Urbach Energy
To obtain a deeper insight into optical properties of thin films, order of crystallinity for PMMA-PS/CeO 2 nanocomposite thin films is investigated by calculating Urbach energy E U . The absorption coefficient is related to E U via α = α 0 exp(hv/E U ), where α 0 is a constant. By plotting ln(α) versus incident photon energy (hv), E U can be determined by extrapolating the straight line below the absorption band edge. The estimated values of E U of PMMA-PS/CeO 2 nanocomposite samples are presented in Table 1. For unloaded PMMA-PS thin film, E U is found to be 182.495 meV. It is observed that value of E U of PMMA-PS/7% CeO 2 has increased to 207.675 meV suggesting a significant disorder and surface interactions in the polymeric thin films loaded with ceria nanoparticles.

FTIR Analysis
Fourier Transform Infrared Spectroscopy (FTIR) is employed to explore and identify the vibrational bands of the loaded PMMA-PS thin films. Figure 8 shows the FTIR spectra of PMMA-PS and PMMA-PS doped by CeO 2 NPs. The vibrational bands observed in the FTIR spectrum are typical of those of PMMA and PS polymers. The vibrational bands associated with bending of C-H bonds are registered in the 1000-700 cm −1 spectral range. The vibrational bands located in the 1000-1300 cm −1 range are assigned to C-O stretching. The vibrational bands recorded in between 1300-1400 cm −1 are assigned to -CH 3 bending, while a band at 1449 cm −1 could be ascribed to the -CH 2 bending. Band at 1484 cm −1 could be ascribed to the C=C bonds. The bands appearing between 1600-1800 cm −1 are associated with C=O bonds. Bands identified between 2800-3200 cm −1 are allocated to the C-H stretching. The six IR bands located in the 1000-1300 cm −1 spectral range are associated with C-O vibrational modes. As the dipole moment changes due to the vibrations of atoms, two IR bands are associated with symmetric stretch, two with asymmetric stretch and two with the C-O bending. The wide spectral range identifies the locations of different IR bands in the nanocomposite thin films. Finally, the peak appearing at 541.42 cm −1 in the nanocomposites is clearly associated with Ce-O suggesting homogenous incorporation of CeO 2 NPs into the co-polymer's matrices. Furthermore, significant changes observed in width and intensity of the vibrational bands of PMMA-PS upon addition of CeO 2 NPs indicate the strong influence of ceria NPs on the spectroscopy of the blended polymer. Table 2 presents the peak positions of all major vibrational bands of PMMA-PS doped by CeO 2 NPs. The two main factors that influence the intensity of an IR absorption band are the intermolecular bonding between PMMA-PS matrix and Ce NPs as well as the change in dipole moment that occurs during a vibration. ration of CeO2 NPs into the co-polymer's matrices. Furthermore, significant changes observed in width and intensity of the vibrational bands of PMMA-PS upon addition of CeO2 NPs indicate the strong influence of ceria NPs on the spectroscopy of the blended polymer. Table 2 presents the peak positions of all major vibrational bands of PMMA-PS doped by CeO2 NPs. The two main factors that influence the intensity of an IR absorption band are the intermolecular bonding between PMMA-PS matrix and Ce NPs as well as the change in dipole moment that occurs during a vibration.

Thermogravimetric Analysis (TGA)
To elucidate thermal stability of doped polymeric thin films investigated in this study, thermogravimetric analysis (TGA) (weight loss %) with respect to temperature and derivative thermogravimetric analysis (DTG) are measured for PMMA-PS, and PMMA-PS incorporated CeO 2 NPs. A weight loss and differential thermogravimetry curve (first derivative of the weight with respect to temperature) of PMMA-PS and PMMA-PS incorporated CeO 2 NPs are shown in Figure 9. Two main regions of weight loss and first derivative weight loss are observed. The first is identified in the 100-200 • C range. In this region, the estimated weight loss is estimated to be 3-12% that could be attributed to adsorbed water. In the second region, mainly observed between 300 • C and 400 • C, the weight loss decreases from 90% to 20%. Such a large weight loss is clear indication of thermal decomposition suggesting that doped polymeric thin films exhibit low chemical stability at high temperature. Furthermore, a maximum rate of weight loss is observed at 330 • C, for PMMA-PS thin films. This maximum rate shifts slightly towards a high temperature region as the concentration of CeO 2 NPs inserted into PMMA-PS matrix is increased. Figures 10 and 11 show the FTIR spectra of PMMA-PS and PMMA-PS/5%CeO 2 for thin film samples processed at different annealing temperatures.

Surface Morphology of PMMA-PS/CeO2 Thin Films
The ability to control the orientation of block copolymer thin film features relative to the surface is key to the material's usefulness for patterning. For example, a surface appears as meandering fingerprint line/space patterns for CeO2 to be homogenously inserted and distributed. For PMMA-PS, several well-established and effective surface pre-treatments for dictating the domain orientations of self-assembled patterns are essentially possible. Even with appropriate surface pre-treatments, self-assembly of PMMA-PS patterns are relatively sensitive to the concentration of CeO2 NPs. Exciting recent advances in block copolymer-based patterning have used self-assembly to achieve alignment and registra- Figure 11. The absorbance of PMMA-PS/5% CeO 2 processed at different annealing temperatures.

Surface Morphology of PMMA-PS/CeO 2 Thin Films
The ability to control the orientation of block copolymer thin film features relative to the surface is key to the material's usefulness for patterning. For example, a surface appears as meandering fingerprint line/space patterns for CeO 2 to be homogenously inserted and distributed. For PMMA-PS, several well-established and effective surface pre-treatments for dictating the domain orientations of self-assembled patterns are essentially possible. Even with appropriate surface pre-treatments, self-assembly of PMMA-PS patterns are relatively sensitive to the concentration of CeO 2 NPs. Exciting recent advances in block copolymerbased patterning have used self-assembly to achieve alignment and registration of features by directing meandering self-assembled fingerprint patterns. Surface morphology of (PMMA-PS)/CeO 2 NPs at 20 µm magnification are presented in Figure 12. Figure 12a shows that undoped PMMA-PS thin films exhibit an organized texture. Figure 12b

Conclusions
In summary, (PMMA-PS)/CeO2 nanocomposite thin films doped with different concentrations of CeO2-NPs (0 to 7%) are synthesized and deposited on glass substrates via dip-coating technique. As-grown thin films are investigated to elucidate the spectral behavior of key optical parameters such as transmittance, reflectance, absorption coefficient, refractive index, and extinction coefficient. Furthermore, a combination of classical models such as Tauc, Wemple DiDomenicol, and Sellmeier oscillator models are employed to calculate the optical band gap energy, dispersion parameters, and optoelectronic parameters of the loaded (PMMA-PS) thin films. Un-doped PMMA-PS exhibits a high transparency of about 87%. The transmittance decreases dramatically to a vanishing value in the

Conclusions
In summary, (PMMA-PS)/CeO 2 nanocomposite thin films doped with different concentrations of CeO 2 -NPs (0 to 7%) are synthesized and deposited on glass substrates via dip-coating technique. As-grown thin films are investigated to elucidate the spectral behavior of key optical parameters such as transmittance, reflectance, absorption coefficient, refractive index, and extinction coefficient. Furthermore, a combination of classical models such as Tauc, Wemple DiDomenicol, and Sellmeier oscillator models are employed to calculate the optical band gap energy, dispersion parameters, and optoelectronic parameters of the loaded (PMMA-PS) thin films. Un-doped PMMA-PS exhibits a high transparency of about 87%. The transmittance decreases dramatically to a vanishing value in the high energy region (250 ≤ λ ≤ 350) nm. Reflectance is found to increase as the concentration of ceria NPs loads increases. Furthermore, refractive index n of PMMA-PS exhibits values ranging between 1.76 and 2.13. Interestingly, introducing 7% of CeO 2 NPs into polymeric matrix leads to a slight increase of n to 1.85-2.26. Therefore, PMMA-PS/CeO 2 nanocomposite could be used for high reflective coatings and candidates for strong optical confinement applications. The optical band gap obtained of PMMA-PS copolymers thin films is ≈4.03 indicating that it is an insulating dielectric material. Introducing CeO 2 nanoparticles into the copolymers matrix decreases the optical band gap and thus it is possible to engineer the optical properties of this novel material. To elucidate a deeper understanding of the vibrational modes of PMMA-PS/CeO 2 nanocomposite thin films, we carry out FTIR measurements. We identify and interpret all vibrational bands associated with formation, rotation, and twisting of different bonds involved in the investigated polymerized thin film. Evidently, major changes are observed in width and intensity of the vibrational bands of PMMA-PS upon merging of CeO 2 NPs in copolymers matrix. In addition, TGA and DTG studies demonstrate that introducing higher concentrations of CeO 2 NPs into PMMA-PS nanocomposite enhances thermal stability significantly. Surface morphology of PMMA-PS/CeO 2 NPs at 20 µm magnification shows that PMMA-PS exhibit an amorphous nature with a smooth surface. The SEM images show homogenous dispersion of CeO 2 NPs on the surface of the PMMA-PS thin films. Having obtained an interesting result on exploiting and understanding the physical mechanisms behind tuning the optical parameters of the polymer-inorganic filler nanocomposites, we are motivated to investigate the effect of changing the types of inorganic fillers, as well as their compositional content on tuning optical parameters of different polymer nanocomposites. Such future investigations are predicted to yield organic-inorganic systems of prime importance for the fabrication of state-of-art optoelectronic multifunctional devices. Furthermore, we are planning to introduce transition metal oxides into different polymeric matrices to examine the possibility of inducing strong magnetic properties to fabricate onto magnetic devices.
Our detailed and comprehensive investigations of the optical, morphological, lattice dynamical, and thermal properties of PMMA-PS/CeO 2 NPs nanocomposite thin films reveal that they could be utilized in manufacturing realistic-scaled smart multifunctional devices.