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REVIEW OF SCIENTIFIC INSTRUMENTS 80, 083503 共2009兲 Operating a radio-frequency plasma source on water vapor Sonca V. T. Nguyen,1 John E. Foster,2 and Alec D. Gallimore1 1 Plasmadynamics and Electric Propulsion Laboratory, University of Michigan, Ann Arbor, Michigan 48108, USA 2 Plasma Science and Technology Laboratory, University of Michigan, Ann Arbor, Michigan 48108, USA 共Received 18 May 2009; accepted 17 July 2009; published online 24 August 2009兲 A magnetically enhanced radio-frequency 共rf兲 plasma source operating on water vapor has an extensive list of potential applications. In this work, the use of a rf plasma source to dissociate water vapor for hydrogen production is investigated. This paper describes a rf plasma source operated on water vapor and characterizes its plasma properties using a Langmuir probe, a residual gas analyzer, and a spectrometer. The plasma source operated first on argon and then on water vapor at operating pressures just over 300 mtorr. Argon and water vapor plasma number densities differ significantly. In the electropositive argon plasma, quasineutrality requires ni ⯝ ne, where ni is the positive ion density. But in the electronegative water plasma, quasineutrality requires ni+ = ni− + ne. The positive ion density and electron density of the water vapor plasma are approximately one and two orders of magnitude lower, respectively, than those of argon plasma. These results suggest that attachment and dissociative attachment are present in electronegative water vapor plasma. The electron temperature for this water vapor plasma source is between 1.5 and 4 eV. Without an applied axial magnetic field, hydrogen production increases linearly with rf power. With an axial magnetic field, hydrogen production jumps to a maximum value at 500 W and then saturates with rf power. The presence of the applied axial magnetic field is therefore shown to enhance hydrogen production. © 2009 American Institute of Physics. 关DOI: 10.1063/1.3202250兴 I. INTRODUCTION Plasma discharges operated on water vapor, in either liquid or vapor form, can potentially be used in a wide range of applications.1–10 For example, the decomposition of organic contaminants in waste water, such as phenol, into more benign byproducts has been studied using a pulsed streamer corona discharge.1 In the intermediate pressure regime between tens of millitorr to one torr, water vapor plasmas are used in plasma-assisted chemical vapor deposition for diamond film formation. Currently, CH4 and H2 are injected into a plasma chamber to fabricate diamond films. When O2 is introduced, the presence of O2 and OH radicals is stipulated to increase the rate of diamond growth. Instead of O2, other researchers have shown that addition of H2O vapor in the main gas feed favorably contributes to diamond growth.6,7 Ultraviolet 共UV兲 light source plasma is another example of an application of water vapor plasma. Oh et al.10 investigated the potential of using water vapor plasmas excited by microwaves as a UV light source. In the work presented here, the potential use of a radiofrequency 共rf兲 plasma discharge to directly dissociate water molecules for hydrogen production is investigated to address the need to reduce greenhouse gas emission and humanity’s dependence on nonrenewable natural resources. Hydrogen as an energy carrier has the potential to address many aspects of the energy problem, particularly in the transportation sector. Currently, 96% of hydrogen is produced from steam methane reformation, gasification, or oxidation. In an effort to address the energy and climate challenge, the production of hydrogen via renewable methods is researched. Hydrogen produced 0034-6748/2009/80共8兲/083503/8/$25.00 from electrolysis is still more expensive than hydrogen produced from reformation methods. Presently, only 4% of the total hydrogen produced worldwide is from electrolysis. It is argued that the widespread adoption of conventional electrolysis systems has a physical limitation. In these systems, hydrogen must diffuse in liquids, but their diffusion rate in liquids is slow compared to their diffusion rate in a gas.11 Chaffin et al.11 investigated hydrogen production via plasma electrolysis by placing metal electrodes above a liquid water surface. Through this proposed method, the cost of electrolytes and catalysts that are required in conventional electrolysis are removed and there is even the potential to increase hydrogen production rates. Yan et al.12 have produced hydrogen by using a plasma discharge operating on methanol solutions. Methanol is chosen instead of water because methanol is easier to vaporize. Both Chaffin and Yan attribute the presence of high-energy electrons as the key in electrolyzing water or methanol. In plasma electrolysis, plasma processing of the liquid is localized to the region within the gas bubbles around the electrodes. In contrast, the present work proposes to investigate a method of hydrogen production by dissociating water vapor 共as opposed to liquid water兲 in a high-density inductive plasma source. Givotov et al.13 investigated dissociating water vapor in a plasma using a microwave discharge in the 1980s. In their work, the plasma source was a quartz tube, 20 mm in diameter and 30 mm in length. The operating pressure was 50 torr and the power input was 2 kW at 2400 MHz. Similarly, this current work characterizes the behavior of a rf plasma discharge operating on water vapor, and evaluates its potential application as a renewable hydrogen production 80, 083503-1 © 2009 American Institute of Physics Downloaded 25 Jun 2010 to 141.212.191.3. Redistribution subject to AIP license or copyright; see http://rsi.aip.org/rsi/copyright.jsp 083503-2 Rev. Sci. Instrum. 80, 083503 共2009兲 Nguyen, Foster, and Gallimore FIG. 1. A photograph of the quartz tube and three solenoid magnets with one pulled away to show the antenna. method. The plasma source used in this experiment has a diameter of 15 cm, a length of 50 cm, and operates at 13.56 MHz. This source also has an electromagnet to allow the investigation of an applied magnetic field on hydrogen production. With the applied magnetic field, dissociative attachment is speculated to be enhanced by greater electron confinement. Although the current system is not optimized for energy efficiency, it has a potential to achieve higher efficiency than the method employed by Givotov using a microwave discharge because of this axial applied magnetic field. This rf source in principle is simpler than a microwave system, as it only requires a 13.56 MHz power supply. These supplies have efficiencies greater than 90% compared to 70%–85% of the microwave supplies. Further, the rf system does not require any waveguide, reducing the complexity of the overall system. II. EXPERIMENTAL SETUP Testing of the rf water vapor plasma source is performed at the plasmadynamics and electric propulsion laboratory 共PEPL兲 in the cathode test facility 共CTF兲. The vacuum facility utilized is a cylindrical aluminum chamber that is 2.44 m in length and 0.61 m in diameter. An Edwards XDS 35i dry pump is used to evacuate the chamber. With a maximum pumping speed of 35 m3 / h on N2, the base pressure is below 3 mtorr. The plasma source is attached to a 15-cmdiameter side port on the CTF. A. Plasma discharge A photograph of the plasma source is shown in Fig. 1. The source consists of a quartz tube that is 15 cm in diameter and 50 cm in length. Three magnetic coils connected in series to a 60 A dc power supply produces a peak axial magnetic field on axis of the plasma source of approximately 200 and 400 G at 30 and 60 A magnet current, respectively. Figure 2 shows the mapping of the magnetic field for the 60 A magnet current setting in the horizontal plane of the quartz tube at the centerline. The outline of the quartz tube and the flange that is used to connect the quartz tube to the CTF vacuum chamber are also shown in this figure. The magnetic field is measured by a three-axis Hall probe that is connected to a three-channel Gaussmeter from Lakeshore 共model 460兲. The mapping is achieved by placing the Hall probe on three motion tables. The magnetic field mapping for a magnet cur- FIG. 2. 共Color online兲 Mapping of magnetic field generated from three solenoid magnets at 60 A magnet current with an outline of the quartz tube and an adapter flange. rent of 30 A is exactly identical to that at 60 A, with the exception that the magnetic field strength is reduced in half. A double helical antenna circumscribes the quartz tube, and is sandwiched between the quartz tube and the magnetic coils, as shown in Fig. 3. A 13.56 MHz rf power supply is used to excite the antenna up to 1.5 kW. A -matching network is employed to match the impedance of the rf power supply output with the impedance of the antenna, reducing the reflected power to less than 5% of input power for all conditions investigated. B. Water feed system An Eldex water pump 共a positive displacement, reciprocating piston兲 with a flow rate range of 0.01–20 ml/min 关12.5 SCCM 共SCCM denotes cubic centimeter per minute at STP兲 to 25 slm H2O兴 is used to meter liquid water into the plasma source. A back pressure regulator from Upchurch Scientific is placed in the gas line between the water pump and the vacuum chamber to maintain a pressure of 250 psi 共1723 kPa兲. At room temperature, water is in the vapor phase at a pressure of hundreds of millitorr. Nonetheless, the line between the water pump and the quartz tube is heated with heating tape up to 400 K to ensure that water molecules are FIG. 3. Diagram of plasma source showing the rf power supply and matching network connecting to the double-helix antenna, three solenoid magnets connecting in series to a dc power supply, and the water pump connecting to the quartz tube. Downloaded 25 Jun 2010 to 141.212.191.3. Redistribution subject to AIP license or copyright; see http://rsi.aip.org/rsi/copyright.jsp 083503-3 Rev. Sci. Instrum. 80, 083503 共2009兲 Nguyen, Foster, and Gallimore FIG. 4. 共Color online兲 共〫兲 A typical Langmuir probe curve for water vapor plasma operating with 75 SCCM H2O and 10 SCCM Ar at 500 W rf power and 30 A magnet current. 共䊊兲 Probe current squared vs voltage for the same plasma, indicating the slopes in the ion and electron saturation regions taken to calculate ion and electron densities, respectively. not absorbed onto the metal surface of the feed line and that water remains in vapor state upon entry into the plasma source. C. Langmuir probe A commercial rf-compensated single Langmuir probe 共LP兲 system from Hiden Corporation is used to obtain plasma density, floating potential, plasma potential, and electron temperature. This commercial system includes a data acquisition software package, rf compensation circuitry, a driver power supply, and an ammeter. The LP collector is 0.12 mm in diameter and 3 mm in length. The probe sheath thickness is determined to be approximately over an order of magnitude smaller than the local electron and ion mean free paths. Therefore, a collisionless probe model is used. Further, magnetic effects are neglected because rLE ⬎ r P and rLE Ⰷ D, where rLE is the Larmor radius of the electron, r P is the probe radius, and D is the Debye length. LP data are analyzed using standard methods reported in a number of references.14–18 Figure 4 shows a typical LP trace. As shown, the floating potential is taken as the biased voltage where the net current to the probe is zero. The ion and electron number densities are calculated using the orbital motion limited analysis model because the ratio of the probe radius to Debye length, r P / D, is less than three for all operating conditions. This technique of calculating the number density assumes that the electron distribution is isotropic, Maxwellian, and that the sheath is collisionless.17,18 冑 冉 冊 冑 ni = Ap ne = Ap M i dI2i , 2e3 dV 共1兲 me dI2e . 2e3 dV 共2兲 In Eqs. 共1兲 and 共2兲, ni is the ion number density, A p is the probe surface area, M i is the ion mass, ne is the electron number density, me is the electron mass, and e is the electron FIG. 5. 共Color online兲 Semilog plot of Langmuir probe trace showing the linear region where electron temperature is calculated and the point where the plasma potential is derived from. charge. Finally, dI2i / dV and dI2e / dV are the slopes of current squared versus bias voltage for ion and electron, respectively, as shown in Fig. 4. In this work, an effective ion mass, M i, is calculated from a weighted average of the product of mass 共mi兲 and partial pressure 共pi兲 obtained from the residual gas analyzer 共RGA兲, which is to be discussed in Sec. IID, Mi = 兺 im i p i . 兺i pi 共3兲 Finally, the electron temperature is derived from the slope of the semilog plot, and the plasma potential is the biased voltage where the two lines intersect in the semilog plot, as shown in Fig. 5. D. Differential pump system and RGA A commercial RGA 共Stanford Research Systems RGA100兲 is used to identify gas species inside the chamber. The maximum operating pressure of the RGA is 10−5 torr, significantly lower than water vapor plasma pressure of a few hundred millitorr. Therefore, a differential pump system is utilized to reduce the pressure in the RGA chamber to allow for RGA operation. Figure 6 depicts the layout of this FIG. 6. Differential pump system including a variable leak valve, 70 l/s turbo pump, RGA, and pressure transducer. Downloaded 25 Jun 2010 to 141.212.191.3. Redistribution subject to AIP license or copyright; see http://rsi.aip.org/rsi/copyright.jsp 083503-4 Rev. Sci. Instrum. 80, 083503 共2009兲 Nguyen, Foster, and Gallimore FIG. 7. 共Color online兲 Calibration curves for hydrogen, oxygen, and water relating the RGA partial pressure ratio to the flow rate ratio. system. A variable leak valve isolates the RGA chamber from the plasma chamber. Without a proper calibration, the RGA only yields qualitative information, i.e., the presence of certain gas species in the plasma. To estimate the amount of hydrogen along with other gases produced in the plasma quantitatively, the RGA is calibrated by injecting a known amount 共10 SCCM兲 of argon. A calibration factor 共CF兲 relating the ratio of the partial pressure of the gas of interest to the partial pressure of argon could therefore be obtained from the ratio of the flow rates of the two gases. Figure 7 shows the calibration curves of hydrogen, oxygen, and water. The pressure ratio varied linearly with mass flow rate ratio as expected. With CF known for each gas, the mass flow rate of a certain gas produced in the water vapor plasma source is calculated using Eq. 共4兲. ṁi = ṁAr Pi CF PAr 共4兲 In this equation, PAr is the partial pressure of argon, Pi is the partial pressure of the gas of interest, ṁAr is the mass flow rate of Ar, and ṁi is the rate of production of the gas of interest. Effects of the addition of argon to the plasma properties and hydrogen production have been studied. As can be seen in Fig. 8, the rates of hydrogen production for the addition of 5 and 10 SCCM Ar are almost identical at all rf power levels except for 750 W. Even at this power level, however, the two results are within the uncertainty of the measurement technique. Furthermore, Figs. 9 and 10 illustrate the invariance of electron density, ion density, plasma potential, and floating potential to argon flow rate. Therefore, the addition of 10 SCCM Ar to calibrate the RGA is shown to have a negligible effect on the plasma. FIG. 8. 共Color online兲 Hydrogen production for 75 SCCM H2O with 5 and 10 SCCM Ar operating with 30 A magnet current. light into a fiber optic cable that is connected to the spectrometer via a SubMiniature version A⫽SMA connector. III. RESULTS In this section, results from a plasma source operating on argon and on water vapor are presented. The operating pressure for the two cases is ⬃300 mtorr. Results given in this paper are the mean values of a sample of measurements. Error bars represent one standard deviation among the spread in the measurements sample. For the Langmuir probe data, the sample size includes four sets of 5–10 Langmuir probe traces. The measurement is taken in a random order of rf power. While the absolute error in the Langmuir probe diagnostics is 20%–30% for electron temperature and 50%–60% for plasma densities,19 the relative error from point to point is small, which allows for a study of trends in plasma properties. For the RGA results, the sample size is four sets of three spectra, and the error bars also represent one standard deviation of spread in each set of measurement. Based on the calibration of the RGA, the error for determining hydrogen and oxygen production is 5%–10%, and for determining water vapor flow rate is 10%–20%. E. Spectrometer In addition to the RGA, two spectrometers from Ocean Optics are used to obtain optical emission spectra from the plasma: USB2000 and HR4000. The USB2000 model spectrometer has a 25 m entrance slit and a detector wavelength range of 200–850 nm. The HR4000 model spectrometer has a 5 m entrance slit and a detector wavelength range of 400–850 nm. A collimating lens is used to focus FIG. 9. 共Color online兲 Ion and electron densities for 75 SCCM H2O with 5 and 10 SCCM Ar operating with 30 A magnet current. Downloaded 25 Jun 2010 to 141.212.191.3. Redistribution subject to AIP license or copyright; see http://rsi.aip.org/rsi/copyright.jsp 083503-5 Rev. Sci. Instrum. 80, 083503 共2009兲 Nguyen, Foster, and Gallimore FIG. 10. 共Color online兲 Floating potential and plasma potential for 75 SCCM H2O with 5 and 10 SCCM Ar operating with 30 A magnet current. FIG. 12. 共Color online兲 Plasma and floating potentials of argon plasma operating with 400 SCCM Ar. The plasma potential is consistently 5 V higher than the floating potential. A. Argon plasma The ion densities for the argon plasma as a function of rf power for 0, 30, and 60 A magnet current setting are shown in Fig. 11. The magnetic field strength does not influence the ion density within the certainty of the measurement. The magnetic field also does not appreciably influence the plasma or floating potential, as shown in Fig. 12. These potentials increase linearly as a function of rf power. The plasma potential increases from 21 V at 250 W to 27 V at 1000 W. Similarly, the floating potential increases from 17 V at 250 W to 24 V at 1000 W. The plasma potential is consistently 5 V higher than the floating potential. Finally, the electron temperature ranges between 1.2–1.6 eV. Experimental results of electron temperature, plasma potential, and floating potential are consistent with the following relationship: 冉冑 冊 V p − V f = ln Mi Te , me 共5兲 where Te is the electron temperature, V p is the plasma potential, and V f is the floating potential. B. Water plasma Figure 13 shows two photographs of the water plasma operated at 500 W rf power and at 0 and 60 A magnet current FIG. 11. 共Color online兲 Plasma density of argon plasma operating with 400 SCCM Ar. setting. In the case of 0 A magnet current, the plasma is diffused throughout the quartz tube, but in the case of 60 A magnet current, the plasma is more concentrated near the edge of the quartz tube. The outline of the antenna is clearly observed in the presence of the applied magnetic field. Argon and water vapor plasma number densities differ significantly. Figures 14 and 15 show the electron and ion densities for the water vapor plasma. Here, both electron density and ion density are presented because attachment and dissociative attachment are expected to be nontrivial in electronegative water plasma. Under a similar operating pressure, the ion density for the water vapor plasma is approximately one order of magnitude less than that of the argon plasma. For the electron density, the difference is approximately two orders of magnitude. The reduced density in the water vapor plasma is attributed to the increase in number of modes of energy absorption relative to atomic argon including rotation, vibration, and dissociation. It is speculated that electron density of the water vapor plasma is lower than the calculated ion density because of attachment driven by high electron affinity species such as atomic oxygen and hydroxyl radicals. For the water vapor plasma, both plasma and floating potentials are higher than those of the argon plasma in the presence of a magnetic field as shown in Fig. 16. Without a magnetic field, there is a negligible effect of rf power on both the plasma and floating potentials. However, at 30 and 60 A magnet current, there is an increase in both plasma and float- FIG. 13. 共Color online兲 Photographs of water plasma operating with 75 SCCM H2O and 10 SCCM Ar at 500 W rf power and 共a兲 0 A magnet current and 共b兲 60 A magnet current. Downloaded 25 Jun 2010 to 141.212.191.3. Redistribution subject to AIP license or copyright; see http://rsi.aip.org/rsi/copyright.jsp 083503-6 Rev. Sci. Instrum. 80, 083503 共2009兲 Nguyen, Foster, and Gallimore FIG. 14. 共Color online兲 Ion number densities of water vapor plasma operating with 75 SCCM H2O and 10 SCCM Ar. FIG. 16. 共Color online兲 Plasma and floating potentials of water vapor plasma operating with 75 SCCM H2O and 10 SCCM Ar. ing potentials. Finally, electron temperature is not affected by rf power, but is a strong function of water vapor input mass flow rate, hence chamber pressure as well. The electron temperature first increases, then reaches a peak value, and finally decreases with water vapor input flow rate. The electron temperature ranges between 1.5 and 4 eV. trum confirms the dissociation of water molecules and substantiates the presence of electron affinity species such as OH. 2. Residual gas analyzer One way to identify the species inside a mixed gas, either neutral or charged particles, is by using a RGA. Another way to identify the plasma species is by using an optical spectrometer to capture the emission released when an excited atom or molecule is relaxed to a lower state. Both methods are employed for species identification in this work. Figure 17 shows a spectrum of a water vapor plasma with 75 SCCM water vapor and 10 SCCM argon flow rates, operating at 500 W rf power and 30 A magnet current. In this spectrum, the OH band is clearly identified with the intense peaks in the range 302.1–308.9 nm. H␣ at 656.3 nm and H at 486.1 nm are also clearly identified. The emission spec- The RGA allows for both qualitative identification of species and quantitative estimate of the amount of each gas species in the water plasma source. Figure 18 shows the RGA spectrum for a water vapor plasma operating in the same condition as that shown in Fig. 17. Quantitatively, the amount of each gas can be estimated using Eq. 共4兲 if the input argon flow rate and the partial pressures of argon and hydrogen are known. In Fig. 19, the production of hydrogen is characterized at different magnet current settings 共0, 30, and 60 A兲 and rf power levels 共250, 500, 750, and 1000 W兲 for again 75 SCCM water vapor and 10 SCCM argon gas flow rates. At maximum rf power and magnetic field strength, the water vapor plasma produced approximately 23 SCCM of hydrogen. With magnetic field, hydrogen production saturates at high rf power. Without an applied magnetic field, hydrogen production varies linearly with rf power in the range inves- FIG. 15. 共Color online兲 Electron number densities of water vapor plasma operating with 75 SCCM H2O and 10 SCCM Ar. FIG. 17. An optical emission spectrum identifying the presence of hydrogen and hydroxyl radicals in water vapor plasma operating with 75 SCCM H2O and 10 SCCM Ar at 500 W rf power and 30 A magnet current. C. Hydrogen production 1. Water plasma spectrum Downloaded 25 Jun 2010 to 141.212.191.3. Redistribution subject to AIP license or copyright; see http://rsi.aip.org/rsi/copyright.jsp 083503-7 Rev. Sci. Instrum. 80, 083503 共2009兲 Nguyen, Foster, and Gallimore FIG. 18. A RGA spectrum indicating the presence of hydrogen, hydroxyl, oxygen, and argon in a water vapor plasma operating with 75 SCCM H2O and 10 SCCM Ar at 500 W rf power, and 30 A magnet current. tigated, but the values are lower than those in the case with a magnetic field. When a magnetic field is applied, there is a 40% jump in hydrogen production, from 12 SCCM at 250 W to 17 and 18 SCCM for 30 and 60 A magnet current settings, respectively. This jump is observed in all rf power levels. Figure 20 shows a breakdown of gases for the 75 SCCM water vapor and 10 SCCM argon flow rates operating with a magnet current of 30 A. Most of the gases in the plasma source is in fact still water vapor. There is a small concentration of oxygen and hydroxyl radicals. However, when the input water flow rate is reduced to 25 SCCM, Fig. 21 shows that the dominant species is hydrogen. The optical emission spectrum shows a strong presence of atomic hydrogen, especially at 656 nm. However, in the RGA spectrum, only molecular hydrogen is detected. This is mostly due to atomic hydrogen recombining to become molecular hydrogen before entering the RGA’s detector. OH is detected by both the RGA and the spectrometer. Diatomic oxygen is detected by the RGA but the spectrometer only shows a faint signal of atomic oxygen 共777 nm兲. This is due to both the small relative intensity of oxygen lines within the spectrometer’s wavelength range 共200–850 nm兲 and the spectrometer’s low sensitivity at 777 nm. FIG. 19. 共Color online兲 Effect of rf power and magnet current on hydrogen production for water vapor plasma with 75 SCCM H2O and 10 SCCM Ar. FIG. 20. 共Color online兲 Production of all gases in water vapor plasma operating with 75 SCCM H2O and 10 SCCM Ar. Note that the dominant species is water. Although careful consideration has gone into the design of the differential pump system, it is inevitable that recombination occurs as the gas particles travel to the RGA chamber. Therefore, the results shown here are for the worst case scenario. It is expected that there is in fact more dissociation inside the plasma source. Nevertheless, the results presented here give general trends to show the effect of rf power and magnetic field strength on hydrogen production. The presence of the axial magnetic field enhances hydrogen production in the vapor plasma. However, with the magnetic field, hydrogen production saturates at high rf power due to the loss of electrons to attachment. ACKNOWLEDGMENTS Sonca Nguyen is grateful for the financial support of the National Science Foundation, Zonta International Foundation through the Amelia Earhart Fellowship and the Gates Millennium Scholars Program. We acknowledge the support of the technical staff in the Aerospace Engineering Department, especially Thomas Griffin, and from our colleagues at PEPL. FIG. 21. 共Color online兲 Production of all gases in water vapor plasma operating with a lower rate, 25 SCCM H2O and 10 SCCM Ar. Note that the dominant species is hydrogen. Downloaded 25 Jun 2010 to 141.212.191.3. Redistribution subject to AIP license or copyright; see http://rsi.aip.org/rsi/copyright.jsp 083503-8 1 J. Clements, M. Sato, and R. Davis, IEEE Trans. Ind. Appl. IA-23, 224 共1987兲. A. T. Sugiarto and M. Sato, Thin Solid Films 386, 295 共2001兲. 3 T. Maehara, H. Toyota, M. Kuramoto, A. Iwamae, A. Tadokoro, S. Mukasa, H. Yamashita, A. Kawashima, and S. Nomura, Jpn. J. Appl. Phys., Part. 1 45, 8864 共2006兲. 4 A. Ivannikov, V. Lelevkin, A. Tokarev, and V. Yudanov, High Energy Chem. 37, 115 共2003兲. 5 A. Samokhin, N. Alekseev, T. Korovkina, E. Troitskaya, and Y. Tsvetkov, Theor. Found. Chem. Eng. 41, 613 共2007兲. 6 R. Rudder, G. Hudson, J. Posthill, R. Thomas, R. Hendry, and D. Malta, Appl. Phys. Lett. 60, 329 共1992兲. 7 R. Singh, D. Gilbert, R. Tellshow, P. Holloway, R. Ochoa, J. 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Phys. 76, 4487 共1994兲. 18 F. Chen, in Plasma Diagnostic Techniques, edited by R. H. Huddlestone and S. L. Leonard 共Academic, New York, 1965兲, pp. 113–200. 19 I. Hutchinson, Principles of Plasma Diagnostics 共Cambridge University Press, Cambridge, England, 2002兲. 11 Downloaded 25 Jun 2010 to 141.212.191.3. Redistribution subject to AIP license or copyright; see http://rsi.aip.org/rsi/copyright.jsp