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  <jats:front>
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        <jats:article-title>Probing the impact of oxygen negative ions on the self-organized pattern in 1 atm DC glow with liquid anode</jats:article-title>
      </jats:title-group>
      <jats:pub-date date-type="published">
        <jats:day>29</jats:day>
        <jats:month>01</jats:month>
        <jats:year>2025</jats:year>
      </jats:pub-date>
      <jats:ref id="">
        <jats:mixed-citation><jats:article-title>Probing the impact of oxygen negative ions on the self-organized pattern in 1 atm DC glow with liquid anode</jats:article-title>,
            <jats:name><jats:surname>Yang</jats:surname>,
        <jats:given-names>Zimu</jats:given-names></jats:name><jats:name><jats:surname>Yatom</jats:surname>,
        <jats:given-names>Shurik</jats:given-names></jats:name><jats:name><jats:surname>Foster</jats:surname>,
        <jats:given-names>John</jats:given-names></jats:name><jats:source/>,
            <jats:volume/>,
            <jats:page/> 
            (<jats:year>2025-01-29</jats:year>).
            <jats:pub-id pub-id-type="doi"/></jats:mixed-citation>
      </jats:ref>
      <jats:abstract>
        <jats:p>In an atmospheric DC glow discharge with a liquid anode, the plasma anode glow attached to the grounded liquid surface under certain conditions self-organizes into coherent patterns. Optical emission spectroscopy revealed that the emission consists primarily of the second positive system of nitrogen, N&lt;inf&gt;2&lt;/inf&gt;(C-B), whose excitation energy is low and sensitive to changes in the electron energy distribution. In addition to electrons, negative ions can accumulate in the anode sheath and affect the local space charge. It has been speculated that these negative ions play a role in pattern formation at the anode surface. In this work, the role of oxygen negative ions was explored. It was found that the formation of anode patterns requires at least a 7% volume fraction of oxygen in the ambient gas. Results showed that O&lt;inf&gt;2&lt;/inf&gt;&lt;sup&gt;&#8722;&lt;/sup&gt; is the dominant negative ion species in atmospheric DC glow discharge, with a density of &#8764; 10 12 cm &#8722; 3 . While the presence of oxygen appears to be crucial for pattern formation, this study indicated that patterns still formed without geometric changes even when 62% of negative ions in the plasma were detached by a laser. This suggests that negative ions do not support the patterns, while oxygen&#8217;s heating effect may induce instability at the anode.</jats:p>
      </jats:abstract>
    </jats:article-meta>
  </jats:front>
  <jats:body>
    <jats:sec>Introduction<jats:p>Self-organization is ubiquitous in nature and widely observed in plasma over a broad range of temperatures, densities, and pressures. In DC glow discharges, the glowing region near the cathode or anode develops inhomogeneous structures that depend on space charge distribution, gas pressure, and inter-electrode spacing <jats:xref ref-type="bibr" rid="b0">[1]</jats:xref>. In atmospheric pressure dielectric barrier discharge (DBD) plasmas, self-organization is also observed, forming filamentary ionization waves that create symmetric patterns on the dielectric surface as well as in the discharge gap <jats:xref ref-type="bibr" rid="b1">[2]</jats:xref>. Interestingly, a very similar coherent pattern can be found on an atmospheric glow discharge with a liquid anode, although no filaments form in the air gap <jats:xref ref-type="bibr" rid="b2">[3]</jats:xref>. The selforganized patterns on the liquid anode are highly dynamic and capable of forming more complicated shapes <jats:xref ref-type="bibr" rid="b3">[4]</jats:xref>.</jats:p><jats:p>According to the theory of reaction-diffusion systems <jats:xref ref-type="bibr" rid="b4">[5]</jats:xref>, coherent patterns result from phenomena in thermodynamically open systems where products flow out while new reactants are introduced. In such cases, the system is best described by non-equilibrium thermodynamics <jats:xref ref-type="bibr" rid="b5">[6]</jats:xref>. In these systems, energetic electrons <jats:xref ref-type="bibr" rid="b6">[7]</jats:xref>, ions <jats:xref ref-type="bibr" rid="b5">[6]</jats:xref>, and the sheath electric field <jats:xref ref-type="bibr" rid="b7">[8]</jats:xref> act as activators, while electronegative gases like oxygen <jats:xref ref-type="bibr" rid="b8">[9,</jats:xref><jats:xref ref-type="bibr" rid="b9">10]</jats:xref>, water vapor <jats:xref ref-type="bibr" rid="b10">[11]</jats:xref>, and liquid as leaky dielectric <jats:xref ref-type="bibr" rid="b3">[4]</jats:xref> serve as inhibitors. The role of these species as drivers of selforganization has been discussed in the aforementioned studies and is well understood in analogous purely chemical systems. However, the exact cause of pattern formation in plasma systems remains elusive. In the gas phase of DC glows with a liquid anode, it has been shown that a higher working gas flow or nitrogen shielding flow <jats:xref ref-type="bibr" rid="b8">[9]</jats:xref> can eliminate pattern formation. It is postulated that the shielding gas or higher flow rates may limit the entrainment of external species like oxygen, thereby preventing pattern formation by limiting the transport of negative ions into the discharge column. Additionally, higher flow rates introduce convective cooling of the discharge, reducing the local vapor density derived from evaporation at the liquid electrode surface.</jats:p><jats:p>To examine the impact of oxygen alone, we conducted an experiment where the oxygen fraction was artificially reduced. The results showed that oxygen is essential for pattern formation. This raises the question: What is the role of oxygen in pattern formation? Oxygen may be important for its lower ionization potential than nitrogen. In a simulation of simplified helium (50 mol%), nitrogen, and oxygen mixing gas, increasing oxygen mole fraction (from 0 to 50%) raises the ionization frequency by about three orders of magnitude, as calculated by Bolsig+ <jats:xref ref-type="bibr" rid="">[12]</jats:xref>. Note that increasing the helium fraction boosts ionization more prominently than oxygen but it suppresses the pattern formation in the experiment. In this scenario, oxygen not only elevates the ionization rate but also introduces more complex kinetics that consume energetic electrons <jats:xref ref-type="bibr" rid="b11">[13]</jats:xref>. Atomic oxygen contributes to many loss mechanisms, offsetting any increase in ionization frequency <jats:xref ref-type="bibr" rid="b12">[14]</jats:xref>. Additionally, oxygen can lead to electron collisional losses through processes like rapid gas heating and dissociative attachment, which are important in the pattern formation mechanism <jats:xref ref-type="bibr" rid="b13">[15]</jats:xref>. These electron loss mechanisms could induce local ionization instability, with oxygen negative ions being significant candidates that deplete electrons in atmospheric discharges.</jats:p><jats:p>Oxygen, an electronegative gas, can form anions with a high electron affinity, attracting electrons. This additional electron loss term due to attachment to electronegative neutrals significantly affects the electron charge flow balance. Negative ions formed from electron attachment can be quickly neutralized by recombination with positive ions. This volumetric process can drive the plasma into an attachment-controlled regime rather than a diffusion-controlled regime, which requires higher electron temperatures and a higher reduced electric field to sustain the discharge <jats:xref ref-type="bibr" rid="b14">[16]</jats:xref>. At atmospheric pressure, a noble gas feed glow discharge would exhibit a larger electron density gradient near its periphery, where negative ions form. Near the electrode or dielectric, negative ions can affect the sheath due to their low mobility, enhancing the local electric field radially <jats:xref ref-type="bibr" rid="b15">[17]</jats:xref>. The importance of negative ions in weakly ionized molecular gas discharges has been analyzed and found to stimulate an attachment instability wave mode <jats:xref ref-type="bibr" rid="b16">[18]</jats:xref>. Interestingly, pattern dynamics have proven sensitive to oxygen <jats:xref ref-type="bibr" rid="b8">[9]</jats:xref>. Acidic electrolytes such as H 2 SO 4 , HCl, HF have been found to lower pattern complexity, speculated to be due to electrolysis products like O 2 , Cl 2 , F 2 with high electron affinity restricting pattern formation <jats:xref ref-type="bibr" rid="b9">[10]</jats:xref>. Investigating the role of negative oxygen ions in plasma pattern mechanisms is therefore of interest.</jats:p><jats:p>Negative ion diagnostics include mass spectrometry <jats:xref ref-type="bibr" rid="b17">[19]</jats:xref> or the laser-induced photodetachment method <jats:xref ref-type="bibr" rid="b18">[20]</jats:xref>. Both methods are well-established in the study of low-pressure plasma. At atmospheric pressure, the thin sheath and less diffusive plasma make mass spectrometry more challenging, though skimmers and differential pumping methods can sample ion species. The laser photodetachment method involves using a tunable laser to illuminate a plasma with photon energy exceeding the negative ion's electron affinity. Free electrons formed in the detachment process are detected as an increase in electron density, typically measured with a Langmuir probe to detect changes in electron saturation current or as a temporal increase in discharge current within the circuit. Sasaki et al recently measured the negative ion species in an atmospheric glow discharge over metallic and liquid cathode <jats:xref ref-type="bibr" rid="b19">[21]</jats:xref>. Results suggested that O &#8722; and OH &#8722; , derived from the dissociative electron attachment of H 2 O 2 , were the dominant negative ions. It is notable that patterns are absent in glow discharges with liquid cathodes. However, the measurements of negative ion species and density have not been conducted for glow discharges with liquid anodes, and their role in pattern dynamics is unclear. Therefore, we aimed to investigate negative ions in glow discharges with liquid anodes.</jats:p><jats:p>In this work, we performed a laser photodetachment experiment on negative ions in atmospheric glow discharge plasma with a liquid anode, including the identification of the dominant negative ion species. We also examined the impact of negative ion depletion on self-organized pattern dynamics.</jats:p></jats:sec>
    <jats:sec>Discharge source for self-organized pattern and the importance of oxygen<jats:p>Self-organization can be observed in a multi-phase atmospheric pressure DC discharge when a liquid is used as the anode. The plasma setup consists of a gas-phase DC glow discharge with a pin-to-water configuration, as illustrated in figure 1. The plasma is powered by a high-voltage DC power supply (Gamma High Voltage Research RR3-333 R), which can output up to 3 kV (&lt;&#177;0.01%) and 333 mA (&lt;&#177;0.005%). Since the DC discharge voltage remains mostly independent of current after breakdown, a ballast resistor (15 k&#8486;) is used to accommodate the additional voltage drop when the plasma current increases. A high voltage differential probe (Tektronix P6015A, maximum error &lt;&#177;3%) measures the voltage at the cathode, while the current is recorded by measuring the voltage across a shunt resistor (45 &#8486;). The discharge operates at 700-1000 V, and the current is maintained within 100 mA. All resistors are non-inductive to minimize electrical resonance. Helium gas at a flow rate of 100 sccm is fed through an orifice at the bottom of the brass cathode, and an 8 mm discharge gap is maintained. Tap water (conductivity: 1.05 mS cm &#8722;1 ) is used as the liquid anode in this work. To compensate for water evaporation, the liquid is cycled by a peristaltic pump and over-flooded in the container to sustain a constant water level.</jats:p><jats:p>Among many variables that affect pattern dynamics, the oxygen volume fraction appears to be particularly important. This was initially demonstrated by applying a shielding nitrogen gas around the plasma column, which limited the entrainment of oxygen from ambient air, preventing any pattern formation <jats:xref ref-type="bibr" rid="b8">[9]</jats:xref>. However, using shielding gas also introduces additional convective cooling, shear flow instabilities, and changes in water vapor concentration near the plasmaliquid interface. Thermal dynamics and the presence of water vapor are both potential factors influencing the mechanism of pattern, thus the shielding gas method obscures the specific role of oxygen. Consequently, we conducted experiments in a gas-sealed box that could be flushed with dry nitrogen gas to reduce the oxygen volume fraction. The plasma is highly localized and sufficiently distant from the nitrogen feed gas, thereby avoiding additional convective cooling, shear instabilities, and impacts on water vapor.</jats:p><jats:p>Figure 2 compares the change in pattern shape, recorded by a CMOS camera with a 20 ms exposure time, at specific discharge currents and oxygen fractions. The complexity and size of the patterns both decrease with reducing oxygen fraction in the ambient gas, eventually degenerating into a featureless and diffusive 'disk'. Spatially-resolved emission spectroscopy revealed that the gas temperature remains high in the absence of oxygen, as the vibrational-translational relaxation of nitrogen also plays a significant role in gas heating reactions <jats:xref ref-type="bibr" rid="b20">[22]</jats:xref>. A similar level of volumetric heating should lead to similar water vapor density, and both conditions fail to support the pattern. These observations suggest the critical importance of oxygen and motivated a detailed investigation of the role of oxygen in the pattern mechanism.</jats:p></jats:sec>
    <jats:sec>Experimental setup and methods<jats:p>Figure 3 shows the schematic of the laser photodetachment experiment. A 3rd Harmonic Nd:YAG pulsed laser (Continuum Surelite III, wavelength of 355 nm, repetition frequency 10 Hz, photon energy 3.49 eV) with a maximum 100 mJ beam energy at a 4 ns pulse width is used to perform the detachment. Table 1 lists the major negative ions presumed to be present in a plasma running in humid air. O &#8722; 2 is produced by three-body electron attachment <jats:xref ref-type="bibr" rid="b24">[26,</jats:xref><jats:xref ref-type="bibr" rid="b25">27]</jats:xref>, while abundant singlet oxygen can participate in dissociative attachment with energetic electrons, yielding O &#8722; <jats:xref ref-type="bibr" rid="b26">[28]</jats:xref>. OH &#8722; is produced from the dissociative attachment of water molecules <jats:xref ref-type="bibr" rid="b27">[29]</jats:xref>. The photon energy at 355 nm is higher than the binding energy of attached electrons for all listed negative ions, thus enabling nonselective photodetachment. Other possible negative ions such as H &#8722; , O &#8722; 3 are negligible in the experiment. The theoretical ratio of the detached negative ions versus all negative ions &#945; can be calculated by:</jats:p>&#945; = &#8710;n &#8722; n &#8722; = 1 &#8722; exp ( &#8722; &#963;&#955;E hcS )(1)&#8710;I I &#8764; = &#8710;n &#8722; n e = n &#8722; n e &#215; &#8710;n &#8722; n &#8722; = A &#215; &#945; (2)<jats:p>where n &#8722; represents the negative ion density, &#963; is the photodetachment cross-section, E, S are the laser pulse energy and beam area, respectively; h, c are Planck constant and speed of light. The increase in the current ratio &#8710;I/I scales with the liberated electrons from photodetachment &#8710;n &#8722; /n e . This assumes that the discharge current increase is primarily due to these electrons. The detachment current ratio can be represented by the product of the negative ion detachment ratio &#945; and the local negative ion density relative to that of free electrons A = n &#8722; /n e , as shown in equation ( 2). The local density ratio A depends on both the density difference and the plasma volume illuminated by the laser. The current ratios measured at different laser energies are fitted with the theoretical detachment ratio multiplied by a constant representing the local density ratio A. When compared to curves of known species, A normalizes &#8710;I/I into &#8710;n &#8722; /n &#8722; , revealing relative differences in the detachment cross-section. Note that the detachment ratio &#945; depends on the laser fluence (energy per area) at a constant photon energy (wavelength) and will saturate at sufficiently high laser fluence. When higher laser energy is unavailable, a focusing lens is placed between the plasma column and laser output port to increase the laser fluence at the targeted volume.</jats:p><jats:p>A laser viewing card was used to measure the effective beam area. The laser beam energy injection is adjusted by a delay generator and measured by a laser power meter. A small portion of the laser beam is diverted by a beamsplitter toward a photodiode to correlate the laser pulse with the current perturbation using an oscilloscope. A beam dump is set at the back of the plasma to terminate the laser beam.</jats:p><jats:p>The detachment current signal occurs on a nanosecond timescale corresponding to the laser pulse, and such current changes are detectable only at the anode, where free electrons drift. A non-inductive shunt resistor is placed between the liquid anode and ground, with its voltage measured directly by an oscilloscope. Circuit impedance can significantly affect signal dynamics when components are mismatched. We found that a 45 &#8486; shunt resistor critically dampens the signal, providing a characteristic time closest to its physical relaxation time. An intensified CCD camera (PIMAX 4) is synchronized with the pulsed laser to observe pattern dynamics when negative ions are destroyed by photodetachment. A 300 ns gate width is used to capture sufficient emission from the pattern to record any changes.</jats:p></jats:sec>
    <jats:sec>Results and discussion</jats:sec>
    <jats:sec>Discharge current response to photodetachment<jats:p>The temporal dynamics of discharge current at different helium gas flow rates and oxygen volume fractions upon laser photodetachment are shown in figure 4. Note that the &#8710;I/I is plotted to unify the response across various conditions. The laser energy is 97 mJ, and the beam, with a diameter of 8.6 mm, is directed at the geometric center of the plasma. The beam covers the majority of the plasma column to detach as many negative ions as possible. Operating the plasma at a higher discharge power (current) increases the absolute detachment current without significantly affecting &#8710;I/I. A minor decrease in &#8710;I/I is observed only when the plasma's positive column expands beyond the laser beam diameter. The black curve represents the laser pulse, which starts 8 ns earlier than the detachment current signal due to the position difference between the photodiode and the plasma column. In principle, photodetachment occurs almost immediately after the laser illuminates the plasma. The current pulse has a rise time of &#8764;20 ns and then decays exponentially with a time constant on the order of 100 ns. This fast decay may imply that free electrons are reattaching to electronegative gas at a fast rate, predominantly through three-body processes when the partial pressure of oxygen is high <jats:xref ref-type="bibr" rid="b28">[30]</jats:xref>. Importantly, circuit impedance leads to transient responses, where the shunt's resistance alters the decay time. We found that a 45 &#8486; shunt achieves a critically damped response, meaning the measured decay is closest to the relaxation of detached electrons.</jats:p><jats:p>Remarkably, higher helium gas rates extend the decay time significantly. In figure 4, the decay time constant increases from 108 ns to 330 ns at helium flow rates of 100 sccm and 400 sccm, respectively. The attachment of electrons to oxygen molecules is a three-body reaction where the efficiencies of nitrogen and helium as third bodies are much   lower than pure oxygen <jats:xref ref-type="bibr" rid="b28">[30]</jats:xref>. A higher helium flow decreases the air concentration and slows down the reattachment rate. Furthermore, the attachment coefficient peaks at 0.1 eV and decreases with higher electron temperatures. Increasing the helium concentration increases the average electron energy in the plasma due to helium's high ionization potential, thereby slowing down the attachment rate. The lower detachment current ratio also suggests reduced negative ion density due to the decreased presence of oxygen. When plasma operates in a 2 vol% oxygen ambient air, the detachment current ratio (shown in the orange curve) drops substantially, indicating that the majority of negative ions in the plasma are produced from oxygen. Interestingly, the attachment rate is higher despite the expectation that a low oxygen concentration would decrease the reattachment coefficient. This is because the average electron energy decreases at lower oxygen mole fractions than nitrogen's <jats:xref ref-type="bibr" rid="b29">[31]</jats:xref>, which boosts the three-body attachment coefficient.</jats:p><jats:p>Note that there is also a slower-falling part of the curve, the origin of which is unknown. It is possible that additional electrons modify the plasma, potentially representing a hysteresis effect. Importantly, the current signal is not smooth but contains a series of peaks, a phenomenon observed in other research <jats:xref ref-type="bibr" rid="b30">[32,</jats:xref><jats:xref ref-type="bibr" rid="b31">33]</jats:xref>. External circuitry might precipitate this underdamped resonance due to its impedance <jats:xref ref-type="bibr" rid="b32">[34]</jats:xref>. Hypothetically, these peaks could also represent neutral oscillations or relaxation oscillations that damp over time as photodetachment electrons reattach. For instance, a burst of electrons can generate ion-acoustic oscillations <jats:xref ref-type="bibr" rid="b31">[33]</jats:xref>. Another possible source is the reflected laser rays shining on the plasma column later than the main beam, generating secondary peaks, as discussed in <jats:xref ref-type="bibr" rid="b33">[35]</jats:xref>. Curtains and masks were placed around the plasma to reduce this effect as much as possible. </jats:p></jats:sec>
    <jats:sec>Photodetachment current ratio<jats:p>According to equation ( 1), the percentage of detached negative ions should increase and then saturate if the laser pulse fluence is high enough. This percentage corresponds to the change of detachment current &#8710;I/I, where the largest &#8710;I/I is achieved when the detachment ratio &#8710;n &#8722; /n &#8722; saturates to unity. Figure 5 shows the change in the normalized detachment ratio as a function of pulse energy. Unfortunately, the detachment ratio only reaches 62% at the highest pulse energy and fails to saturate. The pulsed laser is expected to provide enough fluence for saturation if O &#8722; is the major negative species, as shown by <jats:xref ref-type="bibr" rid="b19">[21]</jats:xref>. Because the laser beam area and photon energy are known, the overall detachment cross-section can be deduced by fitting the data with equation ( 2), where the local density ratio A and effective photodetachment cross-section are set as unknown parameters. An atmospheric pressure glow discharge has electron density of 10 13 cm &#8722;3 <jats:xref ref-type="bibr" rid="b34">[36]</jats:xref>, thus a density ratio A = n &#8722; /n e 0.104 means a &#8764;10 12 cm &#8722;3 negative ion density present in the plasma column. It was also reported by <jats:xref ref-type="bibr" rid="b35">[37]</jats:xref> that the negative ion density should be two orders of magnitude smaller than the electron density. The fitted effective cross-section lies between that of O &#8722; 2 increases with the chamber pressure since the charge transfer between O &#8722; and O 2 (a 1 &#8710; g ) becomes more significant at higher pressure (&gt;10 mTorr) <jats:xref ref-type="bibr" rid="b36">[38]</jats:xref>. Another study also pointed out the importance of this reaction in conditions of larger reduced electric fields and small current densities (&lt;10 mA cm &#8722;2 ), making O &#8722; 2 dominant even at low pressures <jats:xref ref-type="bibr" rid="b37">[39]</jats:xref>.</jats:p><jats:p>In this work, we believe the bulk plasma column has a low electric field (&lt;30 Td), which does not favor the dissociative attachment of water and oxygen; thus, three-body attachment is dominant, producing O &#8722; 2 <jats:xref ref-type="bibr" rid="b38">[40]</jats:xref>. The low electric field also diminishes the contribution from the dissociative attachment of water molecules, which can be a more significant electron loss mechanism compared to oxygen <jats:xref ref-type="bibr" rid="">[41]</jats:xref>.</jats:p><jats:p>Although the laser pulse energy was limited, the detachment ratio correlates with the laser fluence, which is energy per area. Therefore, more negative ions per unit volume can be detached if the laser beam is focused into a smaller beam. On the other hand, a smaller beam would not cover the whole plasma, and the detachment current would only represent the negative ions detached from the plasma volume within the beam coverage. Therefore, a smaller local density ratio is expected. Figure 6 shows the detachment ratio at a beam diameter of 3.7 mm. As anticipated, the data is closer to saturation, but the detachment current abnormally increases beyond a certain beam energy, deviating from the theoretical trend. This anomaly was also found in similar research and is attributed to the laser ablation of the probe surface contacting the beam <jats:xref ref-type="bibr" rid="b33">[35,</jats:xref><jats:xref ref-type="bibr" rid="">42,</jats:xref><jats:xref ref-type="bibr" rid="">43]</jats:xref>. Indeed, a very strong current signal can be found when the laser beam contacts the cathode surface. A highly focused beam is particularly problematic as it can drive electron density and thus discharge current changes via photoionization electrons. Except for the anomaly, the data at smaller pulse energies follow the trend, and the fitted effective cross-section is very close to that of the unfocused beam.</jats:p><jats:p>Figure 7 shows the detachment ratio as a function of laser fluence for four different beam sizes. By plotting the data as a function of laser energy per area, different beam sizes can be compared with the theoretical curve together, with detailed fitting results found in table 2. The smaller the beam area, the higher the laser fluence, and the higher the chance of reaching photodetachment saturation. Although the anomaly persists at higher beam energies, the fitted effective photodetachment cross-sections across different beam sizes are narrowly dispersed. A smaller beam also limits the plasma volume undergoing photodetachment, resulting in a smaller  local density ratio. The effective cross-sections from the four different beam sizes all align closely with O &#8722; 2 , strongly indicating that O &#8722; 2 dominates the negative ions in the glow discharge at atmospheric pressure. However, the exact mechanism requires a kinetic model for full understanding. Note that data tends to deviate from the theoretical curve at smaller laser energies when using a smaller laser beam. Although the precise reason for this deviation is unclear, a tightly focused beam should be avoided in future photodetachment experiments.</jats:p></jats:sec>
    <jats:sec>Impact photodetachment on the self-organized pattern<jats:p>Identifying the dominant negative ion, O &#8722; 2 , again underscores the importance of oxygen gas in atmospheric glow discharge. However, the pattern shows no obvious change during or after photodetachment, as depicted in figure 8. The original images are in 16-bit grayscale and have been converted to color images for better contrast. Due to intense laser ray reflections toward the camera, the earliest image was taken at 23 ns after the laser pulse, and no prominent deviation is observed. Given that the rise time of the photodetachment current is 20 ns (see figure 4), at least 62% of negative ions should have been detached at this moment. The right image of figure 8 shows the pattern image at 1 &#181;s after the laser pulse, and no observable change exists. Various delays ranging from nanoseconds to a few hundred microseconds were examined, yet no impact on pattern morphology from photodetachment was found.</jats:p><jats:p>Based on these results, plasma self-organization does not appear to be correlated with the negative ion mechanism under the experimental conditions investigated here. Recently, a pulsed DC glow discharge experiment by Srivastava et al suggested that pattern development occurs on a timescale of &#8764;100 &#181;s and reaches a steady state on a millisecond timescale <jats:xref ref-type="bibr" rid="b10">[11]</jats:xref>. This timescale is three to four orders of magnitude longer than kinetic processes but is more comparable to gas convection, gas-phase diffusive transport, evaporation, and gas heating. Srivastava et al also showed that water vapor saturates at anode layer &#8764;500 &#181;s, which is similar to the millisecond establishment time for patterns <jats:xref ref-type="bibr" rid="b10">[11]</jats:xref>. Through measurements of electron density and temperature in the same plasma source, they concluded that the evaporation of water reduces the electron density through attachment and increases electron temperature via dissociative electron-ion recombination. This raises the voltage drop at the anode layer and supports pattern formation <jats:xref ref-type="bibr" rid="">[44]</jats:xref>.</jats:p><jats:p>When considering the importance of negative ions and the fact that the pattern requires &#8764;100 &#181;s to develop, it becomes apparent that photodetachment using a short pulse width (4 ns) laser running at 10 Hz is not performed frequently enough. The detached negative ion would reform on a 100 ns timescale, thereby sustaining the pattern again. Utilizing a highfrequency, long pulse width for photodetachment is impractical due to the laser's performance limitations. In addition to the temporal constraints, a Gaussian laser beam profile may not effectively photodetach at the liquid surface, where the plasma pattern at the anode glow could be influenced only locally by negative ions. Negative ions are also known to exist around the periphery of the plasma column, where ambient oxygen attaches to diffusing electrons. Consequently, these regions might require further probing. To address this issue, the laser beam was focused into a line shape and targeted at the plasma pattern, yet no significant change in the pattern was observed. This result also suffers from the temporal limitations of the laser.</jats:p><jats:p>Thus, using laser photodetachment is not ideal for investigating the role of negative ions in pattern formation. Instead, operating the plasma with ambient gases of varying electronegativities, such as SF 6 , Cl 2 , NF 3 could produce patterns at different volume fraction thresholds, thereby testing the hypothesis. In a recent study, Miyazaki et al showed that adding the other electronegative gases SF 6 and CO 2 as shielding gas does not form a pattern <jats:xref ref-type="bibr" rid="">[45]</jats:xref>. This suggests that oxygen does not support patterns through its electronegativity, and the underlying mechanism could be due to thermal instability caused by gas heating.</jats:p><jats:p>Both nitrogen and oxygen molecules induce considerable gas heating through vibrational excitation and vibrationaltranslational relaxation. Additionally, oxygen admixture induces extra heating from its electron impact dissociation and quenching processes of electronically excited nitrogen <jats:xref ref-type="bibr" rid="b13">[15,</jats:xref><jats:xref ref-type="bibr" rid="b29">31]</jats:xref>. In an atmospheric DBD experimental study, the power fraction consumed by fast gas heating processes rises from 43% to 80% after pure nitrogen is mixed with oxygen in a 1:1 ratio [46]. DC plasma over a liquid anode also exhibits lower gas temperature with nitrogen shielding gas, which reduces the oxygen concentration <jats:xref ref-type="bibr" rid="">[45]</jats:xref>. In this recent study, pattern formation was found to be associated with high gas temperature and wider radial spreading of positive columns. The gas temperature increases with discharge current, air gap, and oxygen shielding gas, all of which increase the oxygen concentration in the plasma.</jats:p><jats:p>The importance of gas heating in pattern formation may be related to thermal instability <jats:xref ref-type="bibr" rid="">[47]</jats:xref>. An oscillating increase in electron density leads to enhanced ohmic heating and higher gas temperature. This also causes a drop in neutral density and an increase in the reduced electric field (E/N), which further increases ionization and electron density. However, this mechanism was interrupted when the rising gas temperature generated additional vapor, which increased the anode voltage drop and E/N in the positive column, preventing the development of thermal instability and thus stabilizing the plasma <jats:xref ref-type="bibr" rid="">[44]</jats:xref>. In this case, the anode electric field increases with the gas heating and raises the energy of charged species. This would enhance evaporation and could in turn boost the anode electric field. The nonlinear feedback between the anode electric field and evaporation can shape the dynamics of the plasma pattern.</jats:p><jats:p>The Leidenfrost effect may be another mechanism that relates thermodynamics to plasma pattern formation. In the conventional Leidenfrost phenomenon, droplets exposed to extreme heat vaporize slowly and exhibit self-organized shapes <jats:xref ref-type="bibr" rid="">[48]</jats:xref>. The anode gas temperature is measured at 800 K, a condition in which an insulating vapor layer can form <jats:xref ref-type="bibr" rid="b20">[22]</jats:xref>. In this context, liquid subjected to intense gas heating forms a dynamic vapor layer, deforms, and oscillates, affecting charge transport and the local electric field. The interactions between liquid motion, the anode electric field, the non-uniform vapor layer, and localized space charge can be coupled, generating a sophisticated feedback mechanism that induces patterns. Verifying this hypothesis requires advanced comprehensive in situ diagnostics, and further discussion is beyond the scope of this work.</jats:p></jats:sec>
    <jats:sec>Summary<jats:p>A laser photodetachment experiment was conducted to investigate the role of negative ions in the mechanics of pattern. A noticeable increase in discharge current was detected when photodetachment was initiated, and this increase should continue with rising laser energy until saturation is reached. Although the laser energy employed was insufficient to achieve saturation, O &#8722; 2 was found as the dominant negative ion species based on the fitted effective photodetachment cross-section. The ratio between the current and the detachment ratio can be utilized to estimate the negative ion density, which is approximately 10 12 cm &#8722;3 . A focused laser beam increased the laser fluence, resulting in more intense photodetachment; however, an abnormal current spike was also observed, likely due to the ablation of the exposed electrode. Examination of the pattern dynamics using an ICCD camera revealed no change under the photodetachment conditions. This observation suggests that the self-organization at atmospheric glow discharge with liquid anode is not dependent on the 62% negative ions that are detached by the laser. Therefore, the presence of negative ions may not be crucial for pattern formation. Instead, the mechanism of pattern formation may rely on thermal instability caused by gas heating from oxygen. Future work should focus on identifying the thermal effects of oxygen gas and vapor in the mechanism of pattern formation. </jats:p></jats:sec>
    <jats:fig>
      <jats:label>Figure 1 .</jats:label>
      <jats:caption>
        <jats:p>Figure 1. Schematic diagram of glow discharge and liquid phase circulatory setup.</jats:p>
      </jats:caption>
    </jats:fig>
    <jats:fig>
      <jats:label>Figure 2 .</jats:label>
      <jats:caption>
        <jats:p>Figure 2. Plasma self-organized patterns at different oxygen volume fractions in the gas phase (8 mm discharge gap, 100 sccm helium feed gas, 20 ms exposure time).</jats:p>
      </jats:caption>
    </jats:fig>
    <jats:fig>
      <jats:label>Figure 3 .</jats:label>
      <jats:caption>
        <jats:p>Figure 3. Schematic diagram of laser photodetachment setup.</jats:p>
      </jats:caption>
    </jats:fig>
    <jats:fig>
      <jats:label>Figure 4 .</jats:label>
      <jats:caption>
        <jats:p>Figure 4. Photodetachment current temporal change at a 97 mJ laser pulse at different helium flow rate and oxygen volume fraction (discharge current 32 mA, beam diameter 8.6 mm).</jats:p>
      </jats:caption>
    </jats:fig>
    <jats:fig>
      <jats:label>Figure 5 .</jats:label>
      <jats:caption>
        <jats:p>Figure 5. Normalized photodetachment ratio at an 8.6 mm diameter laser beam (discharge current 32 mA, laser pulse 97 mJ, density ratio 0.104, effective cross-section 3.25 &#215; 10 &#8722;22 m 2 ).</jats:p>
      </jats:caption>
    </jats:fig>
    <jats:fig>
      <jats:label>2 and O &#8722; 2 &#8226;</jats:label>
      <jats:caption>
        <jats:p>(H 2 O), far below those of O &#8722; and OH &#8722; , suggesting that O &#8722; 2 is the dominant negative ions. Normally, in low-pressure plasma with oxygen, negative ions are dominated by O &#8722; . However, research suggests that the percentage of O &#8722;</jats:p>
      </jats:caption>
    </jats:fig>
    <jats:fig>
      <jats:label>Figure 6 .</jats:label>
      <jats:caption>
        <jats:p>Figure 6. Normalized photodetachment ratio at a 3.7 mm diameter laser beam (discharge current 34 mA, local density ratio 0.0434, effective cross-section 3.28 &#215; 10 &#8722;22 m 2 ).</jats:p>
      </jats:caption>
    </jats:fig>
    <jats:fig>
      <jats:label>Figure 7 .</jats:label>
      <jats:caption>
        <jats:p>Figure 7. Normalized photodetachment ratio as a function of laser fluence with various beam sizes.</jats:p>
      </jats:caption>
    </jats:fig>
    <jats:fig>
      <jats:label>Figure 8 .</jats:label>
      <jats:caption>
        <jats:p>Figure 8. Self-organized pattern with laser photodetachment (Laser pulse 97 mJ, beam diameter 8.7 mm, discharge current 52 mA, left: 23 ns after the laser pulse, right: 1 &#181;s after the laser pulse).</jats:p>
      </jats:caption>
    </jats:fig>
    <jats:fig>
      <jats:label/>
      <jats:caption>
        <jats:p/>
      </jats:caption>
    </jats:fig>
    <jats:table-wrap id="tab_0">
      <jats:label>Table 1 .</jats:label>
      <jats:caption>
        <jats:title>Table 1 .</jats:title>
        <jats:p>Electron affinity and photodetachment cross-section of major negative ions.</jats:p>
      </jats:caption>
      <jats:table>
        <jats:thead>
          <jats:tr>
            <jats:th/>
            <jats:th/>
            <jats:th>Cross-section at</jats:th>
            <jats:th/>
          </jats:tr>
        </jats:thead>
        <jats:tbody>
          <jats:tr>
            <jats:td>Negative ion</jats:td>
            <jats:td>Electron affinity (eV)</jats:td>
            <jats:td>355 nm (&#215;10 &#8722;22 m 2 )</jats:td>
            <jats:td>Reference</jats:td>
          </jats:tr>
          <jats:tr>
            <jats:td>O &#8722; 2 O &#8722;</jats:td>
            <jats:td>0.448 1.44</jats:td>
            <jats:td>3.64 9.52</jats:td>
            <jats:td>[23] [24]</jats:td>
          </jats:tr>
          <jats:tr>
            <jats:td>OH &#8722;</jats:td>
            <jats:td>1.83</jats:td>
            <jats:td>9.31</jats:td>
            <jats:td>[25]</jats:td>
          </jats:tr>
          <jats:tr>
            <jats:td>O &#8722; 2 &#8226; (H 2 O)</jats:td>
            <jats:td>2.25</jats:td>
            <jats:td>2.58</jats:td>
            <jats:td>[23]</jats:td>
          </jats:tr>
        </jats:tbody>
      </jats:table>
    </jats:table-wrap>
    <jats:table-wrap id="tab_1">
      <jats:label>Table 2 .</jats:label>
      <jats:caption>
        <jats:title>Table 2 .</jats:title>
        <jats:p>Effective photodetachment cross-section and negative ion density ratio from various beam size.</jats:p>
      </jats:caption>
      <jats:table>
        <jats:thead>
          <jats:tr>
            <jats:th>Beam diameter</jats:th>
            <jats:th>Local</jats:th>
            <jats:th>Effective cross-section</jats:th>
          </jats:tr>
        </jats:thead>
        <jats:tbody>
          <jats:tr>
            <jats:td>(mm)</jats:td>
            <jats:td>density ratio</jats:td>
            <jats:td>at 355 nm (&#215;10 &#8722;22 m 2 )</jats:td>
          </jats:tr>
          <jats:tr>
            <jats:td>8.6</jats:td>
            <jats:td>0.104</jats:td>
            <jats:td>3.25</jats:td>
          </jats:tr>
          <jats:tr>
            <jats:td>5.0</jats:td>
            <jats:td>0.0566</jats:td>
            <jats:td>3.28</jats:td>
          </jats:tr>
          <jats:tr>
            <jats:td>3.7</jats:td>
            <jats:td>0.0434</jats:td>
            <jats:td>3.28</jats:td>
          </jats:tr>
          <jats:tr>
            <jats:td>3.1</jats:td>
            <jats:td>0.0215</jats:td>
            <jats:td>3.12</jats:td>
          </jats:tr>
        </jats:tbody>
      </jats:table>
    </jats:table-wrap>
    <jats:table-wrap id="tab_2">
      <jats:label/>
      <jats:caption>
        <jats:title/>
        <jats:p>[41] Mladenovi&#263; &#381;eljko and Goci&#263; S 2022 Influence of air and water vapor on EEDF, plasma parameters and the main RONS in atmospheric pressure low temperature helium plasmas: global model approach Phys. Plasmas 29 103504 [42] Bradley J W, You S D, Dodd R and Bryant P M 2010 Negative ion density measurements by laser photo-detachment in RF and DC reactive magnetron discharges Laser 1 R1 [43] Sirse N, Oudini N, Bendib A and Ellingboe A R 2016 Measurement of electronegativity at different laser wavelengths: accuracy of langmuir probe assisted laser photo-detachment Plasma Sources Sci. Technol. 25 04LT01 [44] Yue Y and Bruggeman P J 2022 Electron density and electron temperature measurements in an atmospheric pressure plasma interacting with liquid anode Plasma Sources Sci. Technol. 31 124004 [45] Miyazaki T, Sasaki K and Shirai N 2024 Correlation between temperature distribution and changes in self-organized luminous pattern in an atmospheric pressure DC glow discharge with sheath gas flow Plasma Sources Sci. Technol. 33 115007 [46] Nudnova M M, Kindysheva S V, Aleksandrov N L and Yu Starikovskii A 2015 Fast gas heating in N 2 /O 2 mixtures under nanosecond surface dielectric barrier discharge: the effects of gas pressure and composition Phil. Trans. R. Soc A 373 20140330 [47] Yue Y, Kondeti V S S K, Sadeghi N and Bruggeman P J 2022 Plasma dynamics, instabilities and OH generation in a pulsed atmospheric pressure plasma with liquid cathode: a diagnostic study Plasma Sources Sci. Technol. 31 025008 [48] Paul G, Kumar Das P and Manna I 2015 Droplet oscillation and pattern formation during leidenfrost phenomenon Exp. Therm. Fluid Sci. 60 346-53</jats:p>
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      <jats:table>
        <jats:thead>
          <jats:tr/>
        </jats:thead>
        <jats:tbody/>
      </jats:table>
    </jats:table-wrap>
  </jats:body>
  <jats:back>
    <jats:sec>
      <jats:sec>Acknowledgments<jats:p>This work was supported by National Science Foundation ECosystem for Leading Innovation in Plasma Science and Engineering (ECLIPSE) program Award No. 2206039, Department of Energy, Office of Fusion Energy Sciences Grant DE-SC0024538, and the Princeton Collaborative Research Facility (PCRF https://pcrf.princeton.edu/), which was funded by the U.S. Department of Energy under Contract No. DE-AC02-09CH11466.</jats:p></jats:sec>
      <jats:sec>ORCID iDs<jats:p>Zimu Yang &#59865; https://orcid.org/0000-0003-4043-8413 Shurik Yatom &#59865; https://orcid.org/0000-0001-8716-8487 John Foster &#59865; https://orcid.org/0000-0001-8369-1828</jats:p></jats:sec>
    </jats:sec>
    <jats:sec>
      <jats:sec>Data availability statement<jats:p>All data that support the findings of this study are included within the article (and any supplementary files).</jats:p></jats:sec>
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