## 4 Conclusions
All authors have read and agreed to the published version of the manuscript. This research was funded by the National Natural Science Foundation of China, grant number 12002193, and the \"[PERSON]\" Project of Key laboratory of hypersonic aerodynamic force and heat technology, AVIC Aerodynamics Research Institute, grant number XFX20220102. Not applicable. The authors declare no conflict of interest. \begin{table} \begin{tabular}{c c c c c c c c} \hline
**No.** & **Reactions** & \(A_{fr}\) & \(B_{fr}\) & \(C_{fr}\) & \(A_{b,r}\) & \(B_{b,r}\) & \(C_{b,r}\) \\ \hline
18 & N + NO\({}^{+}\) = NO + N\({}^{+}\) & \(1.00\times 10^{13}\) & \(-0.93\) & \(6.10\times 10^{4}\) & \(4.80\times 10^{8}\) & 0 & 0 \\
19 & O + NO\({}^{+}\) = O\({}_{2}\) + N\({}^{+}\) & \(1.34\times 10^{7}\) & \(0.31\) & \(7.73\times 10^{4}\) & \(1.00\times 10^{8(7)}\) & 0 & 0 \\
20 & O + NO\({}^{+}\) = NO + O\({}^{+}\) & \(3.63\times 10^{9}\) & \(-0.60\) & \(5.08\times 10^{4}\) & \(1.50\times 10^{7(17)}\) & 0 & 0 \\
21 & N\({}_{2}\) + O\({}^{+}\) = O + N\({}_{2}^{+}\) & \(3.40\times 10^{13}\) & \(-2.00\) & \(2.30\times 10^{4}\) & \(2.48\times 10^{13}\) & \(-2.20\) & 0 \\
22 & N\({}_{2}\) + N\({}^{+}\) = N + N\({}_{2}^{+}\) & \(2.02\times 10^{5}\) & \(0.81\) & \(1.30\times 10^{4}\) & \(7.80\times 10^{5}\) & 0.50 & 0 \\
23 & N + N = e\({}^{-}\) + N\({}_{2}^{+}\) & \(1.40\times 10^{7}\) & \(0\) & \(6.78\times 10^{4}\) & \(1.50\times 10^{16}\) & \(-1.50\) & 0 \\
24 & O + O = O\({}_{2}^{+}\) + e\({}^{-}\) & \(1.60\times 10^{11}\) & \(-0.98\) & \(8.08\times 10^{4}\) & \(8.00\times 10^{15}\) & \(-1.50\) & 0 \\
25 & O\({}_{2}\) + NO\({}^{+}\) = NO + O\({}_{2}^{+}\) & \(1.80\times 10^{9}\) & \(0.17\) & \(3.30\times 10^{4}\) & \(1(2).80\times 10^{7}\) & 0.50 & 0 \\
26 & O + O\({}_{2}^{+}\) = O + O\({}^{+}\) & \(2.92\times 10^{12}\) & \(-1.11\) & \(2.80\times 10^{4}\) & \(7.80\times 10^{5}\) & 0.50 & 0 \\ \hline \end{tabular} 
\begin{tabular}{c c c c c c c} \hline
**No. ** & **Reactions** & \(A_{fr}\) & \(B_{fr}\) & \(C_{fr}\) & \(A_{b,r}\) & \(B_{b,r}\) & \(C_{b,r}\) \\ \hline
1 & O\({}_{2}\) + M\({}_{1}\) = 2O + M\({}_{1}\) & \(3.61\times 10^{12}\) & \(-1.00\) & \(5.94\times 10^{14}\) & \(3.01\times 10^{3}\) & \(-0.5\) & 0 \\
2 & N\({}_{2}\) + M\({}_{2}\) = 2N + M\({}_{2}\) & \(1.92\times 10^{11}\) & \(-0.50\) & \(1.13\times 10^{5}\) & \(1.10\times 10^{4}\) & \(-0.50\) & 0 \\
3 & N\({}_{2}\) + N = 3N & \(4.15\times 10^{16}\) & \(-1.50\) & \(1.13\times 10^{5}\) & \(2.32\times 10^{9}\) & \(-1.50\) & 0 \\
4 & NO + M\({}_{3}\) = N + O + M\({}_{3}\) & \(3.97\times 10^{14}\) & \(-1.50\) & \(7.56\times 10^{4}\) & \(1.01\times 10^{8}\) & \(-1.50\) & 0 \\
5 & O + NO = N + O\({}_{2}\) & \(3.18\times 10^{3}\) & \(1.00\) & \(1.97\times 10^{4}\) & \(9.63\times 10^{4}\) & 0.50 & 3600 \\
6 & O + N\({}_{2}\) = NO + N & \(6.75\times 10^{7}\) & \(0\) & \(3.75\times 10^{4}\) & \(1.50\times 10^{7}\) & 0 & 0 \\
7 & O + N = NO + e\({}^{-}\) & \(9.03\times 10^{3}\) & \(0.50\) & \(3.24\times 10^{4}\) & \(1.80\times 10^{13}\) & \(-1.00\) & 0 \\
8 & O\({}_{2}\) + N\({}_{2}\) = NO + NO + e\({}^{-}\) & \(1.38\times 10^{14}\) & \(-1.84\) & \(1.41\times 10^{5}\) & \(1.00\times 10^{12}\) & \(-2.50\) & 0 \\
9 & NO + M\({}_{4}\) = M\({}_{4}\) + NO + e\({}^{-}\) & \(2.20\times 10^{9}\) & \(-0.35\)