Table 1 Table of included chemical reactions for air.

From: A computational study on the effects of fast-rising voltage on ionization fronts initiated in sub-mm air and CO\(_{2}\) gaps

Reaction number

Description

Reaction

Rate

Unit

References

\(R_1\)

Impact ionization (15.6 eV)

\(\text {e} + N_2 \rightarrow N_2^+ + \text {e} + \text {e}\)

BOLSIG+

m\(^{3}\)s\(^{-1}\)

23

\(R_2\)

Impact ionization (18.8 eV)

\(\text {e} + N_2 \rightarrow N_2^+ + \text {e} + \text {e}\)

BOLSIG+

m\(^{3}\)s\(^{-1}\)

23

\(R_3\)

Impact ionization

\(\text {e} + \text {O}_2 \rightarrow \text {O}_2^+ + \text {e} + \text {e}\)

BOLSIG+

m\(^{3}\)s\(^{-1}\)

23

\(R_4\)

Attachment

\(\text {e}+\text {O}_2+\text {O}_2 \rightarrow \text {O}_2^- + \text {O}_2\)

\(f({\bar{\varepsilon }})\)

m\(^{6}\)s\(^{-1}\)

23

\(R_5\)

Rapid \(\text {O}_2^+\) production

\(N_2^+ + N_2 + \text {M} \rightarrow N_4^+ + \text {M}\)

\(5\times 10^{-41}\)

m\(^{6}\)s\(^{-1}\)

22

\(R_6\)

Rapid \(\text {O}_2^+\) production

\(N_4^+ + \text {O}_2 \rightarrow \text {O}_2^+ + N_2 + N_2\)

\(2.5\times 10^{-16}\)

m\(^{3}\)s\(^{-1}\)

22

\(R_7\)

Rapid \(\text {O}_2^+\) production

\(N_2^+ + \text {O}_2 \rightarrow \text {O}_2^+ + N_2\)

\(6\times 10^{-17}\)

m\(^{3}\)s\(^{-1}\)

22

\(R_8\)

\(\text {O}_2^+\) to \(O_4^+\) conversion

\(\text {O}_2^+ + N_2 + N_2 \rightarrow \text {O}_2^+N_2 + N_2\)

\(9\times 10^{-43}\)

m\(^{6}\)s\(^{-1}\)

22

\(R_9\)

\(\text {O}_2^+\) to \(O_4^+\) conversion

\(\text {O}_2^+N_2+N_2 \rightarrow \text {O}_2^++N_2+N_2\)

\(4.3\times 10^{-16}\)

m\(^{3}\)s\(^{-1}\)

22

\(R_{10}\)

\(\text {O}_2^+\) to \(O_4^+\) conversion

\(\text {O}_2^+N_2+\text {O}_2 \rightarrow O_4^+N_2\)

\(1\times 10^{-15}\)

m\(^{3}\)s\(^{-1}\)

22

\(R_{11}\)

\(\text {O}_2^+\) to \(O_4^+\) conversion

\(\text {O}_2^++\text {O}_2+\text {M} \rightarrow O_4^++\text {M}\)

\(2.4\times 10^{-42}\)

m\(^{6}\)s\(^{-1}\)

22

\(R_{12}\)

Electron-ion recombination

\(\text {e}+O_4^+ \rightarrow \text {O}_2+\text {O}_2\)

\(f({\bar{\varepsilon }})\)

m\(^{3}\)s\(^{-1}\)

22

\(R_{13}\)

Electron-ion recombination

\(\text {e}+\text {O}_2^+ \rightarrow \text {O}+ \text {O}\)

\(f({\bar{\varepsilon }})\)

m\(^{3}\)s\(^{-1}\)

22

\(R_{14}\)

Ion-ion recombination

\(\text {O}_2^- + O_4^+ \rightarrow \text {O}_2+\text {O}_2+\text {O}_2\)

\(1\times 10^{-13}\)

m\(^{3}\)s\(^{-1}\)

22

\(R_{15}\)

Ion-ion recombination

\(\text {O}_2^-+O_4^++\text {M} \rightarrow \text {O}_2+\text {O}_2+\text {O}_2+\text {M}\)

\(2\times 10^{-37}\)

m\(^{6}\)s\(^{-1}\)

22

\(R_{16}\)

Ion-ion recombination

\(\text {O}_2^- + \text {O}_2^+ + \text {M} \rightarrow \text {O}_2 + \text {O}_2 + \text {M}\)

\(2\times 10^{-37}\)

m\(^{6}\)s\(^{-1}\)

22

\(R_{17}\)

Excitation/emission

\(\text {e}+N_2 \rightarrow \text {e}+N_2+\gamma\)

Zheleznyak.

−

25

\(R_{18}\)

Photoionization

\(\gamma + \text {O}_2 \rightarrow \text {e}+\text {O}_2^+\)

Zheleznyak.

−

25

  1. M denotes \(\text {O}_2\) and \(\text {N}_2\). BOLSIG+ represents tabulated data computed using bolsig23. \(f({\bar{\varepsilon }})\) indicates that the reaction rate is an empirical function of the local mean energy.