Introduction

Low-temperature plasmas (LTPs) at atmospheric pressure have been extensively investigated during the past decade for various biological applications [1], and recently they have attracted significant attention for their potential in decontamination and disinfection applications, with the objective to achieve sterilization [2,3,4,5]. Today, autoclaves are the workhorse of sterilization facilities, which reprocess the utensils, reagents, and wastes, indispensable for research in life sciences. They run constantly throughout the day to meet the demands of the research laboratories. Unfortunately, not only can a large autoclave consume several hundred liters of water (in wet heat treatment) in just one sterilization cycle, leaving an enormous environmental footprint, but it also consumes massive amounts of energy in the process [6]. In comparison with autoclaving, LTP-based sterilization techniques may offer several benefits, including lower energy consumption, lower temperature requirements, no need for high pressure or vacuum conditions, short treatment times, and no long-lived harmful chemicals. Thanks to these advantages, LTP sterilization offer an effective solution for addressing the sterilization needs of thermo-sensitive materials, which are currently not suitable for autoclave sterilization. Although LTPs hold out great promise for novel sterilization techniques, a comprehensive understanding of both the physics and biological aspects is essential prior to the commercialization and scaling-up of this technology.

To advance the research in LTP-based sterilization techniques, multiple device configurations have been tested: from plasma jets [7, 8], where a LTP is blown to a localized area by a gas flow, to volume and surface dielectric barrier discharges (VDBD and SDBD) [9,10,11], where a LTP is generated within a volume or over a surface. Depending on the device configuration and the position of the biological target with respect to the plasma, the treatment is defined direct or indirect. If the target is in contact with the plasma the treatment is referred to as "direct", while if it is not in contact with the plasma, but close enough for by-products of the plasma to reach the target, then the treatment is called "indirect". Plasma jets and VDBDs are used in direct plasma treatments while SDBDs in indirect plasma treatments. Direct plasma treatments are in most cases faster [12], however, indirect plasma treatments are still proven effective with the advantage of simpler deployment [13]. In both cases the plasma produces ions, electrons, reactive oxygen and nitrogen species (RONS), UV radiation and electric fields, whose sinergy is believed to be the cause behind bacteria inactivation by LTPs. RONS play a critical role in the process [14], especially in indirect plasma treatments where the target is far from the plasma and only by-products, such as long-lived RONS, can reach it. Among the RONS generated by LTPs, ozone (O\(_3\)) stands out as a well-known antimicrobial molecule, as indicated by various studies [15,16,17]. The bactericidal effects of ozone have been extensively explored for different applications, including treatments on both dry and wet surfaces [18, 19], food decontamination [17], and bacteria bio-film inactivation [20]. Previous research has established a connection between ozone and bactericidal efficacy, with findings suggesting that ozone is a primary reactive species produced by LTPs in similar configurations, playing a crucial role in bacteria inactivation [21]. However, it is noteworthy that NO\(_x\) (nitrogen oxides) products also contribute significantly to the bacteria inactivation process during SDBD indirect plasma treatments, as evidenced in prior studies [22]. A pivotal molecule in this context, not only for its bactericidal properties but also as a precursor to other NO\(_x\) molecules, is nitric oxide (NO) [23, 24]. Although simulations suggest that NO concentration is minimal in the region adjacent to the plasma [25], experimental data on NO concentration and its kinetics are scarce in SDBD configurations. Previous studies of NO in SDBD plasmas have primarily relied on average measurements, which do not provide information on the concentration at specific distances from the plasma source or at specific time intervals between discharges [26, 27]. Thus, the current understanding of RONS produced by SDBDs is incomplete, particularly with respect to the influence of critical parameters such as power, applied voltage, relative humidity, and distance from the plasma surface.

To address this knowledge gap, we present a study of relevant RONS produced by an SDBD plasma operating at atmospheric pressure, using in-situ fourier transform infrared (FTIR) spectroscopy measurements. Additionally, we measure the NO concentration via picosecond laser induced fluorescence (LIF), with a focus on the impact of plasma discharge power, frequency, relative humidity, and distance from the plasma surface. These measurements allow for a better understanding of the role of NO and other species in the decontamination process by indirect plasma treatments. Special emphasis has been placed on maintaining consistent conditions, including factors such as relative humidity (RH), flow rate, and proximity to the plasma source, during the bacterial treatments as well as in both FTIR and LIF measurements.

Materials and Methods

Nanosecond-pulsed Surface DBD

The plasma discharge is produced using a SDBD powered by a custom-made nanosecond-pulsed high voltage power supply, able to generate monopolar pulses as short as 200 ns, up to 25 kV peak, at 100 to 2000 Hz frequency. In this work, if not stated otherwise, we use 4.7 kV and 400 ns long pulses, at 1 kHz repetition frequency, as shown in Fig. 1.

Fig. 1
figure 1

Voltage pulse waveform in kV and plasma emission in arbitrary units, showing the two plasma discharges in correspondence of the rising and falling edge of the voltage pulse

The SDBD is a printed circuit board (PCB) developed specifically for this application. The SDBD has a round geometry of 74 mm diameter (Fig. 2a) to fit inside a standard petri dish of 90 mm diameter. The 0.3 mm thick dielectric is FR4 (Flame Retardant 4) while the electrodes are 0.1 mm-thick Cu plating, treated with electroless nickel immersion gold (ENIG), resulting in a nickel plating to facilitate soldering, and a gold film coating intended to protect the copper electrodes against oxidation and corrosion. The high-voltage electrode is an array of flat fingers, each measuring 2 mm in width and spaced 2 mm apart. In contrast, the ground electrode on the opposite side is a solid flat plate. The multi-finger configuration of the substrate-exposed high-voltage electrode is chosen to have an homogenous plasma distribution over the Petri dish surface. The SDBD is placed upside down within a sealed stainless steel cylindrical reactor (Fig. 2b) of 15 cm internal diameter and a volume of approximately 2 ls.

Fig. 2
figure 2

Picture of operating SDBD with visibile multi-finger configuration (a) and of SDBD operating inside the reactor (b)

The reactor features eight lateral flanges that are symmetrically arranged to allow optical access to the plasma. Sapphire windows are positioned at 90-degree angles to allow the laser and fluorescence to enter and exit, respectively, the reactor, while keeping it sealed. On one flange the Vaisala HUMICAP HM42 probe [28] is installed to measure the relative humidity and temperature of the gas, whereas other two flanges allow for the inflow and outflow of the gas.

The gas flow is regulated by three Bronchorst mass flow controllers: one for pure nitrogen (N\(_2\)), one for pure oxygen (O\(_2\)), and one for dry synthetic air. The humid synthetic air is generated through the bubbling of dry synthetic air in deionized water. We use dedicated Bronkhorst gas-mixing junction/T-components to optimize the mixing of gases with significantly different flow rates. This method of producing humid synthetic air ensures a highly controlled and reproducible level of humidity in the gas mixture. The proportion of nitrogen to oxygen in the gas mixture is maintained at a ratio of 4:1, while the total flow rate is kept constant at 3000 sccm, with a passive exhaust. This methodology effectively minimizes the influence of flow rate variation and enables the precise assessment of changes in relative humidity. Three distinct flow configurations are investigated in this study:

  • RH \(\simeq \) 0\(\%\): 0 sccm humid synthetic air, 2400 sccm N\(_2\), 600 sccm O\(_2\).

  • RH = 13\(\%\) ± 2\(\%\): 500 sccm humid synthetic air, 2000 sccm N\(_2\), 500 sccm O\(_2\).

  • RH = 23\(\%\) ± 2\(\%\): 1000 sccm humid synthetic air, 1600 sccm N\(_2\), 400 sccm O\(_2\).

These three experimental conditions will be referred to as 0\(\%\) RH, 13\(\%\) RH and 23\(\%\) RH. The RH fluctuations are caused by the slight increase in temperature (< \({10}\,^\circ {\hbox {C}}\)) of the gas and by the operation of the plasma discharge.

The plasma discharge power is assessed using Lissajous figures [29, 30]. This approach provides a reliable means of measuring the plasma discharge power in DBD plasma sources and it has been widely adopted in plasma research. A monitor capacitor is placed in series with the SDBD, on the ground side of the circuit. The transferred charge Q(t) on the monitor capacitor is obtained through \(Q(t)=C_m V_m(t)\), where \(V_m(t)\) is the voltage measured across the monitor capacitor and \(C_m\) its capacitance. The energy per pulse is then computed integrating the voltage applied to the SDBD V(t) over the transferred charge Q(t): \(E_{pulse}=\oint V(t)dQ(t)\). This value is graphically represented by the area enclosed by the \(Q-V\) plot, also called Lissajous figure, as depicted in Fig. 3a. To obtain the average power dissipated by the plasma discharge the energy per pulse is multiplied by the frequency \(\overline{P}=E_{pulse} f\).

Fig. 3
figure 3

a Lissajous figures at increasing applied voltages, namely 2.1 kV, 4.7 kV and 5.7 kV. b Plasma discharge power at increasing applied voltages. The shaded area represents the error associated with the uncertainty on the synchronization of the signals

The fast rise time of the nanosecond voltage pulse results in stray capacitance and noise on the \(V_m(t)\) and V(t) signals, necessitating meticulous attention to circuit design, including cable length reduction to minimize circuit loops. Furthermore, the synchronization of signals at the nanosecond level is a challenging task and can cause significant measurement errors. To address this, the delay between the probes has been measured, and the signals have been shifted accordingly to improve the synchronization. The uncertainty on the delay between the probes, approximately 2 ns, translates in an error on the plasma discharge power, represented by the shaded area in Fig. 3b. The voltage on the capacitor is measured using a standard 10:1 attenuation voltage probe (Tektronix TPP0201), while the voltage on the SDBD is measured using a 1000:1 attenuation high voltage probe (PMK PHV 4002-3). The signals are acquired by a Teledyne Lecroy oscilloscope (Lecroy HDO LCRY3502N04187). As shown in Fig. 3a, the obtained Lissajous figures are similar to those reported in [31] for a nanosecond-pulsed SDBD plasma. The power used for the bacteria treatments and the FTIR and LIF measurements is \(\sim \)1.3 W, at 4.7 kV. Assuming the surface covered by the plasma is half the SDBD area \(8^2\pi /2 \sim 100\) cm\(^2\), the surface power density is \(\sim \)0.013 W/cm\(^2\), which is significantly lower than the \(\sim \)0.1 W/cm\(^2\) threshold value found in [32] separating the so-called ozone-mode from the nitrogen oxides-mode [22]. We thus expect the ozone production to be dominant with respect to the nitrogen oxides products in the present experiments. Additionally, the temperature of the substrate-exposed surface of the DBD was measured using a thermal camera (Teledyne FLIR E85). At an applied voltage of 4.7 kV, the maximum temperature of the DBD surface is approximately \({27}\,^\circ {\hbox {C}}\). Increasing the applied voltage to 6.8 kV, and consequently increasing the dissipated power, led to a temperature rise of approximately \({13}\,^\circ {\hbox {C}}\), deemed irrelevant for the conclusions of this work.

E. coli Culture Management and Plasma Treatment Protocol

Non pathogenic Escherichia coli K-12 strain MG1655 is used to test the decontamination efficacy of plasma treatments with this setup. \({100}\,\upmu {\hbox {L}}\) of the bacterial cell stock, preserved in a solution of Lysogeny Broth (LB) and glycerol (30\(\%\) v/v) at a temperature of \(-80\,^\circ {\hbox {C}}\), are inoculated into 10 mL of LB and then incubated at \({37}\,^\circ {\hbox {C}}\) and 180 rpm for a minimum of 8 h, to produce the overnight culture. To reactivate the bacteria culture, \({10}\upmu {\hbox {L}}\) of the overnight culture are inoculated into 10 mL of fresh LB and incubated at \({37}\,^\circ {\hbox {C}}\) and 180 rpm. To assess the growth phase of the cells, the optical density (OD) at 600 nm is measured. The bacteria are treated during the mid-log phase, which is characterized by favorable environmental conditions for bacteria replication. This phase corresponds to an OD between 0.2 and 0.3, indicating a concentration of approximately 10\(^6\) colony-forming units per milliliter (CFU/mL) [33, 34].

From the culture, 5 serial dilutions are obtained and plated in standard petri dish filled with agar. For each treatment time, all the 5 dilutions and the undiluted are treated with the same protocol inside the reactor. After the treatments the bacteria are incubated at \({37}\,^\circ {\hbox {C}}\) and 180 rpm for 24 h, after which the CFU/mL are counted. The results are plotted in logarithmic scale according to the following definition \(\log _{10}(N_0/N)\), with \(N_0\) being the initial bacteria population, counted on the control, and N the bacteria population after the plasma treatment. The log-reduction value shows the CFU/mL reduction after the plasma treatment. E. coli plasma treatments were performed in triplicates from 30 s to 10 min of continued plasma exposure, inside the reactor with the flow configuration 0\(\%\) RH, as shown in Fig. 4.

Fig. 4
figure 4

Schematics of the E. coli plasma treatments with the SDBD inside the reactor

The gas flow is controlled to have steady state conditions and avoid an increase in RH due to the water released by the agar plate. High levels of RH can lead to deterioration and/or damage of the SDBD [35]. This would prevent plasma ignition homogenously over the whole surface, leading to erroneous or misleading results. The RH is monitored during the treatments and it stabilizes at around 10–13\(\%\). The in-situ FTIR and LIF measurements are performed in the same RH and flow conditions to reproduce the same setup of the bacteria treatments.

Statistical Analysis

The statistical analysis was performed using the statistical program CoStat [36]. Analysis of variance (ANOVA) was used to compare different treatment times. Significant differences were identified by the Student-Newman-Keuls multiple range test [37, 38], with a confidence level at p \(\le \) 0.05. Different lowercase letters, from a to c, indicate significant difference.

In-situ FTIR Experimental Setup

The FTIR measurements are performed in-situ using a Bruker Vertex 80v [39]. The reactor is placed inside the sample compartment of the Vertex 80v, with the IR beam passing \(\sim \)1.5 cm in front of the plasma surface, as shown in Fig. 5, same distance at which E. coli is treated. To seal the reactor, two KBr windows, 30 mm diameter, are placed on the line of sight of the IR beam. The optics bench of the vacuum FTIR spectrometer is sealed, instead, by a 49.5 mm diameter ZnSe window on each side of the sample compartment. Because of the electrical connections and gas tubing to the reactor, the sample compartment remained open, hence the IR beam also traversed the ambient air outside of the reactor over a short distance, approximately 2 cm in total, causing fluctuations of CO\(_2\) and H\(_2\)O concentration.

Fig. 5
figure 5

Schematic of the in-situ FTIR measurements setup

A single FTIR measurement is averaged over 16 s, allowing for 20 s time-steps single measurements. The FTIR spectra is acquired over 10 min of plasma operation, which is the longest bacteria treatment performed. The spectra are analyzed and compared to reference spectra of specific gases, namely O\(_3\), NO\(_2\), N\(_2\)O, N\(_2\)O\(_5\) and HNO\(_3\).

The absolute calibration of the IR signal is performed using the Beer-Lambert law [40]. The concentration in ppm of a specific molecule is given by:

$$\begin{aligned} n_i=\frac{A(\nu )}{\sigma _i (\nu ) L}\left( \frac{10^{12}}{n}\right) \end{aligned}$$
(1)

where \(A(\nu )=\ln (I_0/I)\) is the absorbance as a function of wavenumber \(\nu \), with \(I_0\) being the radiant power of incident light on the sample and I the radiant power transmitted by the sample. Since the spectrometer absorbance measurement is defined as \(A(\nu )=\log (I_0/I)\), a correction factor equal to \(\ln 10\) must be taken into account. \(\sigma _i(\nu )\) is the absorption cross-section of species i as a function of \(\nu \) in cm\(^2\)molecule\(^{-1}\), L is the length of the absorbance pathway in cm. The last term \(10^{12}/n\) is a conversion factor needed to pass from molecule/cm\(^3\) to ppm, with n being the density of the gas, in our case air at room temperature and atmospheric pressure. The absorption cross-section values for particular molecules, such as O\(_3\), NO\(_2\), N\(_2\)O are obtained from the HITRAN database [41], with the exception of N\(_2\)O\(_5\), for which only the relative concentration is reported.

Nitric Oxide LIF Experimental Setup

LIF measurements are performed using a diode-pumped high energy picosecond Nd:YAG laser (PL2231-50 Ekspla [42]) to excite NO at 226.1 nm wavelength with a pulse duration (FWHM) of 28 ps ± 10\(\%\), at 50 Hz repetition rate. The optical setup for the LIF measurements is detailed in Fig. 6.

Fig. 6
figure 6

LIF experimental setup schematics

To detect the fluorescence we use a gated ICCD (PM4-1024f-RB-PS-18-P43 by Teledyne Princton Instruments [43]) with \(\sim \)12\(\%\) quantum efficiency in the UV. In front of the ICCD, we position a 248 nm long-pass filter to eliminate any scattered light originating from the laser beam. Additionally, we use a 257/12 nm band-pass filter to selectively capture the emission band of NO (X \(^2\Pi \), \(\nu \)=3) at around 257 nm. To collect the fluorescence, we employ two UV fused silica plano-convex lenses with a focal length \(f=\) 300 mm. The laser beam is focused inside the reactor using the same plano-convex lens. To monitor the synchronization between the ICCD, the laser pulse, and the plasma discharge, a photodiode (DET10A2 by Thorlabs) is placed in front of the focusing lens reflection. The energy of the beam is measured and monitored in real time with a pyroelectric detector (QE8SP-B-MT-D0 by Gentec-eo) to be approximately \(\sim \)\({40} \upmu {\hbox {J}}\). This particular energy level for the laser pulse is chosen to minimize noise caused by scattered light within the reactor and to maximize the signal-to-noise ratio.

Fig. 7
figure 7

LIF signal in arbitrary units at increasing laser pulse energy and linear fit of the data

We conducted a scan of the LIF signal, while gradually increasing the laser pulse energy, ensuring that we remained below the saturation regime. The data in Fig. 7 clearly demonstrates that we are operating comfortably within the linear regime. The synchronization between the plasma discharge, the ICCD and the laser is controlled by the nanosecond-pulsed power supply. The control system, made with a cRIO-9063, generates a TTL trigger which is fed to the laser. In turn, a TTL generated by the laser, triggers the ICCD for the gate synchronization. The relative position between the plasma surface and the laser beam is controlled with a motorized vertical translation stage (Thorlabs MLJ150/M) and an horizontal micrometer translation stage, to be able to accurately reconstruct a 2D image of the LIF measurements over a 4x4 mm area as shown in Fig. 8. The laser beam is parallel to the electrode fingers so to preserve the symmetry along the laser beam path and the beam width is \(\sim \)1 mm.

Fig. 8
figure 8

Vertical section of the experimental setup showing the relative position between the laser beam and the SDBD plasma for the 2D LIF measurements

Nitric Oxide LIF Theory

The time-integrated LIF signal \(I(\lambda )\), as a function of the excitation wavelength \(\lambda \), is a sum over all the rotational transitions i with wavelength \(\lambda _i\) exited by the laser wavelength \(\lambda \) [44],

$$\begin{aligned} I(\lambda )=ClE\frac{A_{det}}{A_{tot}+Q}n\sum _iB_if_i\Gamma (\lambda -\lambda _i), \end{aligned}$$
(2)

where C is a constant to take into account the efficiency of the detection system and the collecting optics; l is the length of the detection volume along the laser beam; E is the energy of the laser pulse; \(A_{det}\) is the Einstein emission coefficient of the NO A(\(\nu \) = 0) \(\rightarrow \) X(\(\nu \) = 3) fluorescence transition which is measured by the detection system; \(A_{tot}\) is the total emission coefficient of the NO A(\(\nu \) = 0) state; Q is the quenching rate of the NO A(\(\nu \) = 0) state, which depends on the gas temperature and composition; n is the density of the NO X(\(\nu \) = 0) ground state; \(B_i\) is the Einstein absorption coefficient of the transition i; \(f_i(T_{rot})\) is the Boltzmann factor of the rotational state of transition i, dependent on the rotational temperature \(T_{rot}\); \(\Gamma \) is the normalized line profile. The derivation of Eq. (2) is described in detail in [44], and a similar one is used in [45]. With a temperature variation between 300 K and 600 K [46], such that in the experiments herein, the sum over the rotational transitions does not vary significantly, hence the term

$$\begin{aligned} ClEA_{det}\sum _iB_if_i\Gamma (\lambda -\lambda _i) \end{aligned}$$
(3)

is constant for the plasma discharge measurement and the calibration. Time resolved measurements of the LIF are taken to measure the quenching rate Q of the exited state of NO (A \(^2\Sigma \)). The gate time of the ICCD is chosen to be 5 ns and delayed with respect to the laser pulse at 1 ns timesteps. Longer gate times did not improve the measurements, and shorter than 1 ns were insufficient to detect the fluorescence signal. The fluorescence decay is then fitted with an exponential function \(e^{kt+b}\), where \(k=A_{tot}+Q=\tau ^{-1}\) is the time decay constant of the fluorescence.

Fig. 9
figure 9

Example of a time resolved raw data set of the LIF signal, showing the fluorescence decay timing, and the exponential fit used to infer the quenching rate Q

In Fig. 9 is shown an example of the time resolved fluorescence decay, and the fitting exponential function used to measure the quenching rate Q. To determine the absolute density n from the time-integrated LIF signal I, the experimental setup requires calibration with a gas mixture containing a known density of NO. This calibration is performed by injecting 0.5, 0.6, 0.7, 0.8 and 0.9 ppm of NO in the reactor and measuring the LIF signal emitted. The data is then fitted, as shown in Fig. 10, and the calibration constant extrapolated.

Fig. 10
figure 10

LIF signal emitted by different concentrations of NO for absolute calibration. Raw data and linear fit are shown in the plot

The difference in the quenching of the LIF signal between the calibration and plasma measurement is corrected by taking into account the decay time \(\tau \). Fluctuations in the laser power are accounted for by measuring the laser energy E. The absolute density n of the NO X(\(\nu \) = 0) ground state can then be calculated as:

$$\begin{aligned} n=\frac{n_{cal}E_{cal}\tau _{cal}}{I_{cal}}\frac{I}{E\tau } \end{aligned}$$
(4)

where the subscript cal indicates the quantities obtained in the calibration.

Results and Discussion

E. coli Plasma Treatments

The plasma treatments of E. coli are performed in triplicates for each treatment time. The plot in Fig. 11 shows the mean and standard deviation of the CFUs log-reduction of E. coli for increasing plasma treatments time. Bacteria population is reduced by 4-log after 10 min of plasma exposure.

Fig. 11
figure 11

Log reduction of E. coli depending on the duration of plasma exposure. Mean and standard deviation of triplicates are represented. Different lowercase letters indicate significant differences (p \(\le \) 0.05)

The gas flow, perpendicular with respect to the plasma surface, did not affect significantly the disinfection efficacy of the treatments. To evaluate the isolated impact of nitric oxide on bacteria, E. coli was subjected to a 10-minute treatment of 1 ppm of NO in a 3000 sccm synthetic air flow, the same setup used for the plasma treatments. The nitric oxide treatments, carried out in triplicates, demonstrated that the exposure to 1 ppm of NO did not yield any discernible effect on the bacteria population.

In-situ FTIR Measurements

FTIR spectra were measured at a temporal resolution of 20 s for 10 min after the initiation of the plasma discharge, for the three distinct flow configurations.

Fig. 12
figure 12

In-situ FTIR absorption spectra at 0\(\%\) RH acquired at different time intervals from plasma start. The plot is trimmed to exclude non-relevant wavenumbers

Fig. 13
figure 13

10 min evolution of the concentration of O\(_3\), N\(_2\)O, NO\(_2\) in ppm and N\(_2\)O\(_5\) in arbitrary units obtained from FTIR absorption spectra. The measurements for the 3 different flow configurations are reported

Figure 12 presents a series of spectra obtained for the 0\(\%\) RH flow setup, wherein the background spectrum, at t = 0 s, was acquired prior to the initiation of the plasma discharge. A strong absorption peak at approximately 1352 cm\(^{-1}\) is caused by an irreversible surface transformation of the KBr windows, probably KNO\(_3\) [47], due to a reaction of the NOx species produced in the plasma with the KBr windows [48]. The characteristic peaks of N\(_2\)O, NO\(_2\), N\(_2\)O\(_5\), and O\(_3\) are distinctly observed. Nonetheless, the measured spectra did not exhibit any discernible signal for NO due to its insufficient concentration for the FTIR to be detected. The Bruker Vertex 80V detection limit for NO falls below 10 ppm, as confirmed by injecting 1 to 10 ppm NO inside the reactor. The characteristic peak of HNO\(_3\) is around 1720 cm\(^{-1}\), overlying the main peak of N\(_2\)O\(_5\) at the same wavelength. However, all the bands of N\(_2\)O\(_5\) are present, at 743, 1246 and 1720 cm\(^{-1}\) [49]. On the contrary, secondary peaks of HNO\(_3\) are absent, suggesting the peak at 1720 cm\(^{-1}\) is entirely N\(_2\)O\(_5\).

Figure 13 shows the time evolution of the concentration in ppm of O\(_3\), N\(_2\)O and NO\(_2\), and the relative concentration of N\(_2\)O\(_5\). As expected, the Ozone concentration is much higher with respect to the other species, since the SDBD is operated at a low surface power density. The trends show clear correlations of the aforementioned species dynamics, with respect to the RH. Ozone, N\(_2\)O and N\(_2\)O\(_5\) decrease with increasing RH, while NO\(_2\) follows the opposite trend. However, there is no significant difference between 13\(\%\) RH and 23\(\%\) RH, in the case of NO\(_2\), as well as in between 0\(\%\) RH and 13\(\%\) RH, in the case of N\(_2\)O\(_5\). It is also important to notice that while O\(_3\) and N\(_2\)O, after an initial build-up phase, reach a dynamic equilibrium, N\(_2\)O\(_5\) and especially NO\(_2\) keep increasing with a linear trend. This behavior suggests that 3000 sccm flow intensity is not enough, in this setup, to reach a dynamic equilibrium for all the species. It is possible that NO\(_2\) keeps increasing by depleting N\(_2\)O and O\(_3\).

Nitric Oxide LIF Measurements

LIF measurements to study the time evolution of NO concentration are conducted in a fixed position, closest to the plasma ignition area, in between the electrodes, approximately 1 mm from the DBD surface. Figure 14 shows the NO concentration in ppm at different delays from the plasma discharge, every \({100}\,\upmu {\hbox {s}}\) time-steps, at 0\(\%\) RH, 13\(\%\) RH and 23\(\%\) RH.

Fig. 14
figure 14

NO concentration between plasma discharges at 1 kHz frequency, 1 mm from the DBD surface, at 0\(\%\) RH, 13\(\%\) RH and 23\(\%\) RH

Fig. 15
figure 15

NO concentration in ppm over a 2D 4 \(\times \) 4 mm area, perpendicular to the DBD surface, at 0\(\%\) RH (a), 13\(\%\) RH (b) and 23\(\%\) RH (c)

The error bar represents the standard deviation resulting from the exponential fit of the fluorescence decay, attributed to slight variations observed during the individual measurement, which lasted over 6 min. The variations of RH and other quenchers, particularly in the vicinity of the plasma region, lead to slightly different decay times and consequently introduce errors in the measured concentrations. As depicted in Fig. 14, the NO concentration exhibits an increase with larger RH. However, it is stable over time, in between plasma discharges, throughout the operation of the SDBD. For the 2D reconstructions, measurements were taken \({500}\,\upmu {\hbox {s}}\) after the plasma discharge, as the concentration remains stable over time. This selection represents the midpoint between plasma discharges. The measurements shown in Fig. 15 reveal that the NO concentration follows the pattern of the electrodes, localized near the plasma and diffusing from the plasma surface. It rapidly decreases a few millimeters away from the plasma surface, and at a distance of 1.5 cm, where bacteria are treated, the concentration is approximately 50 ppb, as shown in Fig. 16.

Fig. 16
figure 16

NO concentration between plasma discharges at increasing distance from the plasma surface, at 0\(\%\) RH, 13\(\%\) RH and 23\(\%\) RH

To gain a better understanding of NO production by atmospheric pressure LTP, measurements of NO concentration were conducted at different plasma discharge powers by altering the voltage applied to the SDBD, as shown in Fig. 17. The results indicate that the NO concentration increases with increasing power at 13\(\%\) RH and 23\(\%\) RH, while it stays constant at 0\(\%\) RH. At 23\(\%\) RH value, an increase in NO production occurs even at lower power. To further confirm the correlation between NO production and plasma discharge power, the measurements were repeated at a frequency of 100 Hz, with the power reduced by a factor of 10 while maintaining the voltage at 4.7 kV.

Fig. 17
figure 17

NO concentration between plasma discharges at increasing plasma discharge power, 1 mm from the DBD surface, at 0\(\%\) RH, 13\(\%\) RH and 23\(\%\) RH. The measured NO concentration is reported for increasing plasma discharge power obtained varying the applied voltage to the SDBD at 2.7, 3.5, 4.4, 5.2, 6.0, 6.8 kV

Fig. 18
figure 18

NO concentration between plasma discharges at 100 Hz frequency, 1 mm from the DBD surface, at 0\(\%\) RH, 13\(\%\) RH and 23\(\%\) RH. The applied voltage to the SDBD is 4.7 kV, resulting in a plasma discharge power of 0.13 W

The concentration of NO, as demonstrated in Fig. 18, follows a similar trend with respect to RH but is higher at lower frequency. The frequency between discharges exhibits a notable influence on NO concentration, indicating that the correlation with power is not straightforward. Temperature is another factor that has a significant impact on the production of NO [46]. However, the gas temperature rose by less than \({10}\,^\circ {\hbox {C}}\) during the operation, and at lower frequencies, the temperature increased proved to be even more negligible. This suggests that such minor temperature fluctuations cannot be considered a substantial influencing factor on the concentration of NO in this particular case.

Conclusions

In this study, we present the first 2D spatially and time-resolved picosecond LIF measurements of nitric oxide concentration produced by a nanosecond-pulsed SDBD plasma. Our measurements show a low (<1 ppm), yet stable concentration of nitric oxide over time. The results are consistent with the NO concentration predicted by kinetic models [25], as the diffusion time of NO is slower than its decay time. However, we observe a notable increase in NO concentration in the vicinity of the plasma surface. The NO production also increases with plasma discharge power, but a non trivial correlation with power was found in this work, since lower frequencies yield higher NO concentrations at the same RH conditions. Furthermore, our findings establish a clear link between NO production and relative humidity, with higher RH values leading to increased NO concentrations. As we move farther away from the plasma surface the concentration of nitric oxide diminishes significantly. At a distance of 1.5 cm from the plasma surface, which corresponds to the location where the E. coli treatments are conducted, the measured NO concentration remains approximately 50 ppb. This concentration is notably lower than the suggested threshold of 160 ppm for effective antimicrobial action, as indicated by previous studies [50]. Indeed, this has been substantiated through treatments of E. coli with 1 ppm of nitric oxide for 10 min, demonstrating no noticeable effect on the bacteria’s survivability. Nonetheless, the observed substantial 4-log reduction in E. coli obtained through low-temperature plasma treatments suggests that other reactive species are contributing significantly to the inactivation mechanisms. In-situ FTIR measurements hint at the involvement of ozone (O\(_3\)) and by-products of NO, including NO\(_2\), N\(_2\)O, and N\(_2\)O\(_5\), in the bacterial inactivation process during indirect plasma treatments. However, further extensive investigations are essential to fully confirm and understand the role of these species in the inactivation process.