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Specimen preparation and binder incorporation
For comparisons of MgO- and CuO-based binder systems, polyvinyl alcohol (PVA) polymer nanocomposite specimens were prepared. A homogenous polymer solution was obtained by dissolving 5 g of PVA in 100 mL of distilled water under continuous magnetic stirring at 600 rpm and 70 °C for 60 min. At 1 wt%, 3 wt%, and 5 wt% binder loading percentages, MgO and CuO nanoparticles with average particle sizes of 40–60 nm were independently integrated into the polymer matrix. Probe ultrasonication at 40 kHz and 200 W for 30 min reduced nanoparticle aggregation and improved dispersion uniformity. After casting the suspensions into Teflon molds and drying at 60 °C for 24 h, they were cooled to room temperature to make homogeneous nanocomposite films for production applications. . PVA (molecular weight: 85,000–124,000 g/mol, 99% hydrolyzed) was the polymer matrix. Comparative binder assessment used MgO and CuO nanoparticles with typical particle sizes of 40–60 nm and purities higher than 99%. Gravimetric proportioning estimated 1 wt%, 3 wt%, and 5 wt% binder concentrations relative to polymer mass. Nanocomposite suspensions were cast into 100 mm × 100 mm × 2 mm Teflon molds, resulting in films with a thickness range of 1.5–2.0 mm. The specimens were conditioned at room temperature for 48 h after drying before characterization and analysis. Comparative statistical assessment and validation applied to five duplicate specimen batches.
Mechanical, thermal, and morphological characterization
Tensile testing under ASTM D638 standard conditions assessed the reinforcing and load-transfer properties of the nanocomposites. Thermogravimetric analysis (TGA) was used to analyze thermal stability at 30–600 °C at 10 °C/min in nitrogen. To evaluate thermal-transition behavior, DSC measurements were performed from 30 to 200 °C. SEM was used to assess polymer matrix interfacial distribution and agglomeration trends regarding morphology and nanoparticle dispersion. Tensile testing was conducted using an Instron 3365 Universal Testing Machine under ASTM D638 standards, with specimen dimensions of 100 mm × 15 mm × 2 mm and a crosshead speed of 5 mm/min. TGA/DTG (PerkinElmer TGA 4000) was used to analyze thermal stability from 30 to 900 °C at 10 °C/min in a nitrogen environment (50 mL/min). From 30–200 °C at 10 °C/min, TA Instruments Q2000 DSC readings were taken. SEM (JEOL JSM-7610F) was used to characterize specimens following gold sputter coating. Electrical conductivity was measured using a four-point probe, and antibacterial performance was assessed utilizing a dataset-supported comparative framework, normalized reduction-efficiency analysis.
Dataset source and computational workflow
The comparative computational analysis was performed using the Metal-Oxide Dataset as the primary external data source for evaluating MgO- and CuO-related material-property behavior. The dataset comprised 120 material-property observations associated with structural, thermal, mechanical, electrical, and functional performance descriptors. Comparative performance evaluation was implemented using Python 3.11 with NumPy, Pandas, SciPy, and Matplotlib libraries for preprocessing, statistical computation, equation-based performance-index analysis, and figure generation. The analytical workflow integrated dispersion uniformity analysis, thermal stability indexing, mechanical–thermal performance evaluation, and functional-property comparison using dataset-driven computational interpretation.
Statistical analysis and validation
For repeatability and partition-dependent variation reduction, 5-fold cross-validation with five different computational runs was used for statistical validation. Results are presented as mean ± standard deviation (SD). An independent two-sample t-test was used to compare MgO- and CuO-based systems, with statistical significance set at p < 0.05. The computational methodology was verified by normalized performance comparison and consistency analysis across binder concentration ranges.
Comparative performance framework
Polymer nanocomposite synthesis, binder-assisted nanoparticle incorporation, characterization analysis, and computational interpretation for MgO- and CuO-based systems are integrated in the framework. The MgO route evaluates structural, thermal, and mechanical properties, whereas the CuO pathway evaluates conductivity and antibacterial action. Both methods' outputs are compared to determine binder-specific performance trends and application-oriented material compatibility.
Mechanical–thermal performance enhancement index (MTPI) computed by equation 1
(1)
The term σc denotes the tensile strength of the composite, while σp is the tensile strength of the neat polymer. The parameter Td,c refers to the decomposition temperature of the composite and Td,p to that of the polymer matrix. The variable Xc represents the degree of crystallinity of the composite, and Xp is the crystallinity of the base polymer. The weighting factors α, β, and γ define the relative contribution of strength, thermal stability, and crystallinity, respectively, with α + β + γ = 1. For MTPI in Equation (1), the weighting factors were set as α = 0.40, β = 0.35, and γ = 0.25, representing the relative emphasis on tensile strength, thermal stability, and crystallinity, respectively, with α + β + γ = 1.
For MTPI, the weighting coefficients were assigned as α = 0.45, β = 0.35, and γ = 0.20, representing the relative contributions of tensile strength, thermal stability, and crystallinity, respectively. For the Functional Performance Index (FPI), the weighting parameters were defined as δ = 0.60 for electrical conductivity and
= 0.40 for antimicrobial reduction efficiency. The dispersion-efficiency factor used in Equation (4) was assigned as η = 0.85 for MgO systems and η = 0.72 for CuO systems based on normalized dispersion-consistency analysis. The surface-treatment modulation constant in Equation (5) was fixed at ks = 1.15 following comparative interfacial-interaction scaling. In the multi-head attention framework, the learning rate was maintained at 0.001, the number of attention heads was fixed at H = 4, the training epoch count was set to 100, and the random seed value was fixed at 42 for reproducibility. Sensitivity analysis was conducted by varying each weighting parameter within ±10% of its baseline value, resulting in less than 5% deviation in the final comparative performance scores across five replicate computational runs.
Functional performance index for CuO-based nanocomposites
defined by equation 2
(2)
The σe variable represents the electrical conductivity of the CuO-based nanocomposite, while σe,p is the conductivity of the pristine polymer. The term Ar indicates the antimicrobial reduction efficiency, and Ar,max is its maximum observed value. The coefficient of friction is denoted by μ, with μmax being the maximum reference value. The weighting parameters δ,
, and ζ control the influence of electrical, antimicrobial, and tribological behavior on the overall functional performance. For the Functional Performance Index (FPI) in Equation (2), the parameters were assigned as δ = 0.40, ∈ = 0.35, and ζ = 0.25, corresponding to electrical conductivity, antimicrobial reduction efficiency, and tribological response.
The Functional Performance Index (FPI) was introduced as a normalized comparative analytical parameter to evaluate the relative functional behavior of CuO-based polymer nanocomposites within the adopted computational framework. The index integrates normalized conductivity and antimicrobial-performance descriptors after min–max scaling to provide a unified comparative functional score ranging from 0 to 1. The weighting coefficients were determined through comparative sensitivity analysis and literature-supported contribution evaluation, where the conductivity contribution coefficient was assigned as δ = 0.60 and the antimicrobial-performance coefficient as
= 0.40.
Comparative binder performance ratio
CBPR) is defined by equation 3

The term MTPIMgO corresponds to the mechanical–thermal performance index of MgO-reinforced polymer nanocomposites, while FPICuO denotes the functional performance index of CuO-reinforced systems. Supplementary File 1 shows the MgO/CuO Binder-Based Nanoparticle Dispersion Evaluation.
Supplementary File 1 measures the dispersion quality of metal oxide nanoparticles in a polymer network using MgO or CuO binders. The interfacial energy of every nanoparticle with the polymer is calculated, and pairwise similarity is compared with the help of an exponential function. The dispersion quality measure is uniformity, and binder-specific scaling reflects the high dispersion achieved with MgO binders. The dispersion quality index dq is now computed directly from the normalized pairwise interfacial energy similarity matrix, expressed as
(4),
where
.
Electrical conductivity evaluation was performed using a comparative four-point probe–based analytical framework supported by normalized conductivity descriptors extracted from the Metal-Oxide Dataset and corresponding computational performance-index analysis. Antimicrobial activity was interpreted using comparative reduction-efficiency descriptors derived from literature-supported oxide-property trends and normalized analytical scaling within the dataset-driven framework.
Effective modulus enhancement due to nanoparticle reinforcement
Ec dealt by equation 5

In this equation, Em denotes the modulus of the polymer matrix. The term En corresponds to the elastic modulus of the metal oxide nanoparticles. The volume fraction of nanoparticles is denoted by
, and is the dispersion efficiency factor that accounts for nanoparticle distribution quality and interfacial adhesion between the polymer and the nanoparticles. The dispersion efficiency factor η in Equation (4) was fixed at 0.85 for MgO-based systems and 0.78 for CuO-based systems, based on assumed relative nanoparticle dispersion uniformity and binder–matrix interaction efficiency.
Interfacial bonding strength enhancement model
τi depend on equation 6

Here, τ0 is the intrinsic interfacial strength of the untreated polymer–filler interface. The parameter ks is the surface treatment efficiency constant, and As denotes the specific surface area of the nanoparticles. The nanoparticle volume fraction is represented by
. This equation highlights the role of surface modification in strengthening load transfer across the interface.
Thermal stability improvement index
Td,c defined by equation 7

Td,m represents the degradation temperature of the neat polymer matrix. The constant reflects the thermal barrier effect of the nanoparticles, and ξ is a dispersion uniformity coefficient that accounts for homogeneous nanoparticle distribution. The variable again represents the nanoparticle volume fraction.
Uniform distribution of nanoparticles throughout the polymer film volume was controlled using a combined magnetic-stirring and probe-ultrasonication process during specimen preparation. Initially, the polymer solution was subjected to continuous magnetic stirring at 600 rpm and 70 °C for 60 min to ensure homogeneous dissolution of the PVA matrix. Subsequently, MgO and CuO nanoparticles were incorporated gradually into the polymer solution and dispersed using probe ultrasonication at 40 kHz and 200 W for 30 min to minimize nanoparticle agglomeration and improve interfacial distribution within the matrix. In addition, the suspensions were maintained under continuous low-speed stirring during nanoparticle addition to prevent localized clustering. The resulting nanocomposite mixtures were then cast into Teflon molds followed by controlled drying at 60 °C for 24 h to reduce sedimentation-induced phase separation.
Functional property enhancement factor
Fp computed by equation 8

The term σe represents the electrical conductivity of the nanocomposite, while σe,m is the conductivity of the base polymer. The variable Ar refers to antimicrobial reduction efficiency, and Ar,max is its maximum reference value. The magnetic response of the composite is denoted by Mc, with Mmax as its maximum achievable value. The weighting coefficients μ1, μ2, and μ3 define the relative importance. The parameter FP represents the normalized functional-property contribution obtained from individual conductivity- and antimicrobial-related descriptors, whereas the Functional Performance Index (FPI) represents the final integrated comparative analytical score derived after a weighted combination of the normalized functional-property components. Supplementary File 2 shows the Multi-Head Binder–Matrix Interaction Attention Model.
In Supplementary File 2, a multi-head attention mechanism is used to model complex interactions between binders, nanoparticles, and the polymer matrix. Structural, mechanical, and functional features are converted into query, key-value representations. Parallel attention heads detect various interaction patterns, and their combination yields a merged representation of the overall effect of MgO or CuO binders. Supplementary File 3 shows the Property Prediction and Application Classification.
Supplementary File 3 estimates the prevalent application area of the nanocomposite based on the features of fused interactions. Mechanical, thermal, and functional property weighted scores are calculated and compared.
For the multi-head attention model, the feature matrix
is defined using normalized mechanical strength, thermal stability, electrical conductivity, and dispersion-quality descriptors, where d = 4. The number of attention heads is fixed as H = 4, with each head dimension
. Projection matrices WQ, WK, and WV are initialized using Xavier uniform initialization and optimized through supervised training with the Adam optimizer (learning rate = 0.001, 100 epochs, batch size = 32). The fused representation is validated using 5-fold cross-validation on the comparative binder-performance dataset. For application classification, the weight vectors e are explicitly defined as
,
, and
corresponding to the relative influence of structural, thermal, functional, and dispersion features.