## 7 Conclusions
\begin{table}
\begin{tabular}{l l l l} \hline \hline
**No.** & **Reaction** & **Type of Reaction** & **Rate Expression** \\ \hline (1) & \(N_{2}+e\,\rightarrow\,N_{2}^{+}+2e\) & Ei & \(k\,(\bar{\epsilon})\) \\ (2) & \(O_{2}+e\,\rightarrow\,O_{2}^{+}+2e\) & Ei & \(k\,(\bar{\epsilon})\) \\ (3) & \(N_{2}+e\,\rightarrow\,N_{2}(A^{3}\Sigma)+\epsilon\) & Ee & \(k\,(\bar{\epsilon})\) \\ (4) & \(N_{2}+e\,\rightarrow\,N_{2}(B^{3}\Pi\Pi)+\epsilon\) & Ee & \(k\,(\bar{\epsilon})\) \\ (5) & \(N_{2}+e\,\rightarrow\,N_{2}(C^{3}\Pi)+\epsilon\) & Ee & \(k\,(\bar{\epsilon})\) \\ (6) & \(N_{2}+e\,\rightarrow\,N_{2}(a^{4}\Sigma)+\epsilon\) & Ee & \(k\,(\bar{\epsilon})\) \\ (7) & \(N_{2}+e\,\rightarrow\,2N+e\) & Ee & \(k\,(\bar{\epsilon})\) \\ (8) & \(O_{2}+e\,\rightarrow\,2O+e\) & Ee & \(k\,(\bar{\epsilon})\) \\ (9) & \(O_{2}+e\,\rightarrow\,O+O(^{1}D)+e\) & Ee & \(k\,(\bar{\epsilon})\) \\ (10) & \(O_{2}+e\,\rightarrow\,2O(^{3}P)+e\) & Dis & \(k\,(\bar{\epsilon})\) \\ (11) & \(O_{2}+e\,\rightarrow\,O(^{3}P)+O(^{1}D)+e\) & Dis & \(k\,(\bar{\epsilon})\) \\ (12) & \(O_{2}+e\,\rightarrow\,O(^{3}P)+O(^{1}S)+e\) & Dis & \(k\,(\bar{\epsilon})\) \\ (13) & \(N_{2}+e\,\rightarrow\,N(^{4}S)+N(^{2}D)+e\) & Dis & \(k\,(\bar{\epsilon})\) \\ (14) & \(O_{2}+e\,\rightarrow\,O_{2}(a^{4}\Delta)+\epsilon\) & Ee & \(k\,(\bar{\epsilon})\) \\ (15) & \(O_{2}+e\,\rightarrow\,O_{2}(b^{4}\Sigma)+e\) & Ee & \(k\,(\bar{\epsilon})\) \\ (16) & \(N+e\,\rightarrow\,N(^{2}D)+e\) & Ee & \(k\,(\bar{\epsilon})\) \\ (17) & \(O_{2}+e\,\rightarrow\,O_{2}^{-}\) & Att & \(k\,(\bar{\epsilon})\) \\ (18)–(25) & \(N_{2}+e\,\rightarrow\,N_{2}(v=1\)–\(8)+e\) & Ve & \(k\,(\bar{\epsilon})\) \\ (26) & \(N+O_{2}\,\rightarrow\,NO+O\) & Ges & \(k=1.1\times 10^{-14}T\cdot\exp(-3150/T)\) \\ (27) & \(N+NO\,\rightarrow\,N_{2}+O\) & Ges & \(k=1.1\times 10^{-12}T^{0.5}\) \\ (28) & \(O+O_{3}\,\rightarrow\,O_{2}+O_{2}\) & Ges & \(k=2.0\times 10^{-11}\cdot\exp(-2300/T)\) \\ (29) & \(O+O+N_{2}\,\rightarrow\,O_{2}+N_{2}\) & Ges & \(k=2.8\times 10^{-34}\cdot\exp(720/T)\) \\ (30) & \(O+O+O_{2}\,\rightarrow\,O_{2}+O_{2}\) & Ges & \(k=2.5\times 10^{-31}T^{-0.63}\) \\ (31) & \(O+O_{2}+N_{2}\,\rightarrow\,O_{3}+N_{2}\) & Ges & \(k=5.6\times 10^{-29}T^{-2}\) \\ (32) & \(O+O_{2}+O_{2}\,\rightarrow\,O_{3}+O_{2}\) & Ges & \(k=8.6\times 10^{-31}T^{-1.25}\) \\ (33) & \(N_{2}(A^{3}\Sigma)+O_{2}\,\rightarrow\,N_{2}+O+O\) & Q & \(k=1.7\times 10^{-12}\) \\ (34) & \(N_{2}(A^{3}\Sigma)+O_{2}\,\rightarrow\,N_{2}+O_{2}\) & Q & \(k=7.5\times 10^{-13}\) \\ (35) & \(N_{2}(A^{3}\Sigma)+O\,\rightarrow\,N_{2}+O(^{1}D)\) & Q & \(k=3.0\times 10^{-11}\) \\ (36) & \(N_{2}(A^{3}\Sigma)+N_{2}(A^{3}\Sigma)+N_{2}+N_{2}(B^{3}\Pi)\) & Q & \(k=7.7\times 10^{-11}\) \\ (37) & \(N_{2}(A^{3}\Sigma)+N_{2}(A^{3}\Sigma)\,\rightarrow\,N_{2}+N_{2}(C^{3}\Pi)\) & Q & \(k=1.6\times 10^{-10}\) \\ (38) & \(N_{2}(B^{3}\Pi)\,\rightarrow\,N_{2}(A^{3}\Sigma)\) & Q & \(k=1.5\times 10^{5}\) \\ (39) & \(N_{2}(B^{3}\Pi)+O_{2}\,\rightarrow\,N_{2}+O+O\) & Q & \(k=3.0\times 10^{-10}\) \\ (40) & \(N_{2}(a^{1}\Sigma)+N_{2}\,\rightarrow\,N_{2}+N_{2}\) & Q & \(k=2.0\times 10^{-13}\) \\ (41) & \(N_{2}(A^{3}\Sigma)+O_{2}\,\rightarrow\,N_{2}+O+O(^{1}D)\) & Q & \(k=2.8\times 10^{-11}\) \\ (42) & \(N_{2}(C^{3}\Pi)+N_{2}\,\rightarrow\,N_{2}(B^{3}\Pi)+N_{2}\) & Q & \(k=1.0\times 10^{-11}\) \\ (43) & \(N_{2}(C^{3}\Pi)\,\rightarrow\,N_{2}(B^{3}\Pi)\) & Q & \(k=3.0\times 10^{7}\) \\ (44) & \(N_{2}(C^{3}\Pi)+O_{2}\,\rightarrow\,N_{2}(A^{3}\Sigma)+2O\) & Q & \(k=3.0\times 10^{-10}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Details of reactions of \(R99\). Units are consistent with number densities in cm\({}^{-3}\), temperature in \(K\), one-body rates in s\({}^{-1}\), two-body rates in cm\({}^{-3}\) s\({}^{-1}\), and three-body rates in cm\({}^{6}\) s\({}^{-1}\). The medium M can be neutral molecules \(N_{2}\) and \(O_{2}\). \begin{table}
\begin{tabular}{l l l l} \hline \hline
**No.