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5.4. VIBRATIONAL ENERGY EXCHANGE IN CO2 2 10 0 10 10−2 10−4 10−6 10−8 10−10 0123456 E (eV) Boltzmann distribution (T =0.3 eV, T =0.3 eV) v0 Treanor distribution (T =0.3 eV, T =0.03 eV) v0 Treanor distribution (T =0.3 eV, T =0.07 eV) v0 Treanor distribution (T =0.3 eV, T =0.15 eV) v0 Treanor distribution (T =0.3 eV, T =0.30 eV) v0 Figure 5.1: Boltzamann and Treanor distributions calculated for asymmetric mode of CO2. Tv: vibrational temperature. T0: gas temperature. n0: density of ground state molecules nE: density of excited molecules. equating the flux of molecules from a given vibrational quanta to the dissociation flux rather than zero. In general the distributions differ depending on whether the dissociation from higher states is considered or not. However, in few molecules the dissociation event is very fast and its effect on the vibrational levels lower than the dissociation energy level can be considered insignificant and in cases where it is applicable dissociation rates is determined by VV fluxes and not the details of dissociation reaction itself [36]. CO2 is one such molecule and hence vibrational distributions calculated without explicitly considering dissociation do not significantly effect the vibrational distributions. 5.4 Vibrational energy exchange in CO2 Up till this point, the vibrational distributions of molecules in general case, that is, mo- lecules with one vibration mode are discussed. In a polyatomic molecule there are several modes of vibration, increasing the complexity of the analysis. In a non-linear polyatomic molecule of N atoms, there are 3N-6 modes of vibration and 3N-5 modes in a linear polyatomic molecule. Hence, CO2 being a linear molecule has 4 modes of vibration. These can be divided into symmetric modes of vibration, which are further divided into symmetric stretch (ν1) mode and two degenerate bending modes (ν2), and antisymmetric 115 n /n E0PDF Image | Understanding CO2 containing non-equilibrium plasmas
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