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In this section, representative results for the flowing plasma reactor are presented. It is found that the CO-conversion is shown to increase linearly with specific energy, until about 2.2 eV/molecule. The energy efficiency η is calculated as:

Here α is the measured conversion, q the molecular gas flow rate, ΔE = 2.7 eV the net dissociation energy, and Pin the input power. By using the measured conversion (explained in next paragraph), we can find the energy efficiency of the plasma reactor, which is plotted for a variety of pressures and powers and a fixed flow rate of 13 SLM in Figure 8A and 8B. The plasma proved capable of converting CO2 to CO with an energy efficiency of up to 49%, which is comparable to the maximal thermodynamic efficiency5. Although the efficiency reported here is close to that of thermal dissociation, it proves that a non-equilibrium plasma can produce a higher CO volume fraction than in equilibrium at the measured translational temperature.A great advantage over thermal dissociation is that the reaction can be turned on or off in a few seconds, which is needed for mitigating fluctuating power production. In addition, there is the potential to increase the efficiency further by tailoring the Electron Energy Distribution Function (EEDF).
We now focus on results obtained for the exhaust. The CO-concentration is measured by IR absorption spectroscopy. In Figure 9A and 9B, a representative spectrum is shown. The fit results in a temperature of 299.36 K and a conversion of 14.7%. The measured data (blue) is in good comparison with the fit data (green). Since the temperature in the exhaust is close to room temperature, it is feasible to leave the temperature as a fixed parameter in the fitting procedure. Next, the in situ measurements are discussed. When interpreting the Rayleigh light intensity, it must be taken into account that the Rayleigh cross sections of the reaction products - CO, O and O2 - differ significantly from that of CO215,16. This issue can only be solved if information of the sample volume composition is available. If the Raman spectrum can be recorded, it is suggested to monitor the Raman spectrum of the CO-molecule to estimate the local number density of the products. A polarizer could be used in this case to eliminate stray light, Thomson, and Rayleigh scattering, while reducing the intensity of the rotational Raman scattered light by only a factor 3/717. If the Raman spectrum cannot be measured because the Rayleigh peak is not sufficiently reduced, the conversion can be estimated based on equilibrium conversion (see references7,20). Though this ignores the enhanced production due to non-equilibrium conditions, the gas temperatures are high enough to justify this simplification. In Figure 10, the temperature data are shown with the different Rayleigh cross sections included. It was found that without any optimization to the plasma, the gas in the plasma center can reach temperatures of up to 5,000 K. It has been shown in Ar plasmas that the Thomson scattering and scattering from excited species becomes significant if the temperature reaches the order of 10,000 K 18,19,20, making the temperature measurement unreliable. Given the values of the differential cross sections for Rayleigh and Thomson scattering of 0.148·10-30 m2 and 7.94·10-30 m2, respectively, an ionization degree of 1.9·10-4 would be necessary for a Thomson contribution of 1%. This is much higher than the ionization degree predicted to be present in the plasma (Fridman5, p294) of 1·10-6 to 8·10-5.
The in situ FTIR-measurements were at a flow of 2.0 slm and a significantly lower pressure of 5 mbar to make a homogeneous plasma, which ensures a reliable path-integrated measurement. This also means that the plasma itself touches and heats the wall. To prevent the wall from becoming too hot, the power is reduced to only 30 W. Although CO-production is negligible at this low power and pressure, the in situ FTIR still provides relevant insights into the dynamics of the CO2 plasma. Spectra were recorded with a resolution of 0.125 cm-1. The spectrum was fitted with a model based on HAPI, the application programming interface of HITRAN12. The code was modified to include separate temperatures for the different vibrational normal modes. A single temperature T12 was used for both the symmetric stretch and bending mode, because the Fermi-resonance guarantees a rapid relaxation between the two normal modes.
The result of the fit is T = 700 K, T12 = 1,250 K, and T3 = 1,500 K, as shown in Figure 11. The fitted pressure was 10 mbar. This overestimation is likely to compensate for an underestimated temperature coefficient for the pressure broadening constants. The gas temperature found with Rayleigh scattering can differ from the one found with FTIR, since Rayleigh scattering measures local temperatures while the FTIR spectra are line integrated.

Figure 1: Temperature dependence of Rayleigh cross section
The Rayleigh cross section that results when from the different cross sections for reaction products. A conversion in the thermal equilibrium is assumed to calculate the relative species mole fractions. Please click here to view a larger version of this figure.

Figure 2: Optical setup for Rayleigh measurements
A lens focuses the laser light to the quartz tube center. The waveguide launches microwaves into the plasma, positioned in the focus of the laser. A hole in the plunger provides optical access for the laser chord. The spectrometer consists of (1) the entrance slit, (2) a steering mirror, (3) the Littrow lens, (4) dispersive grating, (5) image intensifier, (6) and (7) focusing lenses, and (8) CCD-camera. Please click here to view a larger version of this figure.

Figure 3: Pictures of setup
(A) Picture of the vacuum setup, including the microwave applicator and optical fibers. (B) Picture of the inside of the spectrometer, with the Littrow lens and diffraction grating visible. (C) Picture of the lens system used to image the intensified light to the CCD-camera. Please click here to view a larger version of this figure.

Figure 4: Measured intensity as function of pressure
The measured Rayleigh scattering as a function of pressure, for different points in time. The blue solid line represents a linear fit of the data. The error bars indicate the absolute error of the pressure gauge. Please click here to view a larger version of this figure.

Figure 5: Schematic drawing of FTIR gas exhaust analysis setup
A gas cell is placed in the sample compartment of the FTIR spectrometer. The cell is connected in series with the exhaust so that gas is flowing through it. Please click here to view a larger version of this figure.

Figure 6: In situ FTIR setup
Schematic pictures of the in situ FTIR setup. The flow tube is upright and gas flows from the bottom to top. The tube is in the focus of the FTIR beam. Please click here to view a larger version of this figure.

Figure 7: Pictures of the in situ FTIR setup
Side (A) and top (B) view of the waveguide in the sample compartment of the FTIR-spectrometer. The bellows on the top of the waveguide are connected to the vacuum pump and act as an exhaust for the reactor. Please click here to view a larger version of this figure.

Figure 8: Representative energy efficiency and conversion efficiency
In graph (A), the energy efficiency for a typical plasma is depicted as a function of applied microwave power, at pressures ranging from 127 to 279 mbar. In graph (B), the conversion efficiency is depicted. Please click here to view a larger version of this figure.

Figure 9: Representative infrared (IR) absorption spectrum of CO
Graph (A) shows the measured IR absorption spectrum of the gas exhaust (blue dots). The green solid line shows the is least squares fit to the data. The fit results are T = 299.36 K and α = 14.7%. A zoomed-in picture is shown in (B). Please click here to view a larger version of this figure.

Figure 10: Measured gas temperature
In this graph, the gas temperature of the plasma center as measured by Rayleigh scattering is shown as a function of energy input for different pressures. Please click here to view a larger version of this figure.

Figure 11: In situ IR absorption spectrum of the plasma discharge
Graph (A) shows the measured IR absorption spectrum of the CO2 discharge. The blue line gives the best fit to the data (green points) with T = 700 K, T12 = 1,250 K, and T3 = 1,500 K. The red line gives the residue of the fit. A zoomed in picture can be seen in (B). Please click here to view a larger version of this figure.
| Ionization | Dissociation |
| eV | eV |
| CO2 | 13.77 | 5.52 |
| CO | 14.01 | 11.16 |
| O2 | 12.07 | 5.17 |
| N2 | 15.58 | 9.8 |
| CH4 | 12.51 | 4.54 |
| CH3 | 9.84 | 4.82 |
| CH2 | 10.4 | 4.37 |
| CH | 10.64 | 3.51 |
| H2 | 15.43 | 4.52 |
Table 1: Ionization and dissociation energies of common species and products.