## 3 Results and Discussion
### Thermodynamic Behavior Characterization
\[\ln\left(\frac{\beta}{T_{p}^{2}}\right)=\ln\left(\frac{RA}{E_{a}}\right)-\frac {E_{a}}{R}\frac{1}{T_{p}} \tag{1}\]  
In the equation, \(\beta\) is the heating rate, K-min\({}^{-1}\); \(T_{p}\) is the peak temperature of the exothermic peak in the DSC curve, K; \(R\) is the universal gas constant, \(8.314\cdot\mathrm{mol}^{-1}\cdot\mathrm{K}^{-1};A\) is pre-exponential factor, s\({}^{-1}\); and \(E_{a}\) is the activation energy, kJ-mol\({}^{-1}\). The linear fitting plots of the two exothermic processes are shown in Figure 6b,c, respectively. For both fittings, the correlation coefficients were higher than 0.98. The intercept and slope for the two fitting lines were 27.381 and \(-\)17,878.897, 33.868 and \(-\)35,756.592, respectively. Hence the activation energy for the first and second exothermic peaks should be 148.654 kJ-mol\({}^{-1}\) and 297.280 kJ-mol\({}^{-1}\), respectively. The activation energy  
Figure 5: Thermal DSC and TG curves of the samples at a heating rate of 20 °C-min\({}^{-1}\) within an argon atmosphere: (**a**) NC; (**b**) Al/MoO\({}_{3}\)-M; (**c**) Al/MoO\({}_{3}\)-E; (**d**) MoO\({}_{3}\) nanostrips (in each figure, “exo” is short for “exothermic”, and the upward vertical arrow alongside “exo” indicates that the upward peaks in DSC curves are the exothermic peaks). was comparable to that of the electrospray Al/PVDF/MoO\({}_{3}\) in work [39], in which both Al and MoO\({}_{3}\) were the shape of a sphere less than 100 nm. It indicated that the boost effect of NC was more efficient than PVDF. And the corresponding lg(\(A\)) for them was 14.3657 and 17.4839, respectively. Furthermore, the kinetic equations of the two exothermic processes were acquired by analyzing the TG data. The Coats-Redefern integral method was applied to investigate the activation energy and pre-exponential factor from mass loss data using 41 major reaction mechanisms; the fitting results are shown in Table 2.  
For exothermic peak I, the reaction mechanism was conformed to the Avrami-Erofeev equation of \(n=4\), and the exothermic process was controlled by nucleation and the growth rate [40]. The integral formula was \(G(\alpha)=\left[-\ln(1-\alpha)\right]^{4}\), and the corresponding differential form was \(f(\alpha)=\frac{4}{1-\alpha}\left[\ln(1-\alpha)\right]^{3}\), in which \(\alpha\) was the conversion degree of the reactant. For this case, due to the intense connection of NC and the solid phase of Al/MoO\({}_{3}\), the decomposition of NC relied on the solid particles due to the intense connection between the NC and the solid phase of Al/MoO\({}_{3}\). Under such conditions, the reaction of NC started and concentrated on the surface of the solid phases. And the decomposition of NC could keep going on with continuous accumulation of heat and mass. The reaction rate of NC relied on the nucleation and growth rate on the surface of the solid phase. Therefore, the most probable mechanism function was a differential equation \(f(\alpha)\). By substituting \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline \multirow{2}{*}{**Exothermic Peak**} & \multicolumn{6}{c}{**Peak Temperatures (\({}^{\circ}\)C)**} & \multirow{2}{*}{\(E_{\alpha}\) (**k**)-mol\({}^{-1}\))} & \multirow{2}{*}{**lg(\(A\)(**s**\({}^{-1}\)))**} & \multirow{2}{*}{**\(R\)**} \\ \cline{2-2} \cline{5-8}  & 5 \({}^{\circ}\)C-min\({}^{-1}\) & 10 \({}^{\circ}\)C-min\({}^{-1}\) & 15 \({}^{\circ}\)C-min\({}^{-1}\) & 20 \({}^{\circ}\)C-min\({}^{-1}\) & 25 \({}^{\circ}\)C-min\({}^{-1}\) & 25 \({}^{\circ}\)C-min\({}^{-1}\) & \\ \hline I & 197 & 204 & 210 & 212 & 217 & 148.645 & 14.3657 & 0.99002 \\ \hline II & 512 & 522 & 531 & 532 & 540 & 297.280 & 17.4839 & 0.98170 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Kinetic parameters of exothermic reactions of electrospray Al/MoO\({}_{3}\) based on the Kissinger method.