V-V state-to-state rate constants in N$_{2}$ --N$_{2}$ and N$_{2}$-CO collisions in a wide temperature range: semiclassical calculations and analytical approximations

Accurate semiclassical collision data for single- and multi-quantum vibrational state-selected V-V exchanges in N$_{2}(v)$-N$_{2}(u)$ and N$_{2}(v)$-CO($u)$ collisions have been calculated over a large range of vibrational quantum numbers ($v,u)$ and gas temperature. Analytic approximations are also proposed that agree well with the semiclassical [1] calculations performed for different classes of vibrational exchange processes, from near-resonant to far-from -resonance processes. The newly proposed analytical rate constants, together with the numerical \textit{ab initio} rates, can be used with confidence in vibrational kinetic modeling of nitrogen and carbon monoxide-based gaseous systems, including plasmas sources in laboratory and in nature, under non-thermal equilibrium conditions. \\[4pt] [1] Kurnosov A K, Napartovich A P, Shnyrev S and Cacciatore M, 2007 \textit{J.Phys.Chem. A} \textbf{111}, 7057