Introduction

Up to 60% of primary production of atmospheric hydroxyl (OH) radicals can be attributed to photolysis of nitrous acid (HONO)1. Hydroxyl radicals are vital for the removal of pollutants and reactive gases, such as carbon monoxide and methane2,3 from the atmosphere, and they are also an essential precursor of cloud formation by transforming volatile organic compounds into secondary organic aerosols4,5. The current global HONO budget is not balanced when all known sources and sinks are included, which suggests that there is a missing source of HONO6,7,8. Although soils have only recently been identified as important HONO emitters9,10,11,12,13,14,15,16,17, soils have been proposed as a key component of this missing HONO source. Soil nitrite (NO2) may be the key HONO precursor9 but this has not yet been directly demonstrated using 15N tracer approaches and accounting for primary microbial pathways producing it. Nitrite is mainly produced during microbial ammonia (NH3) oxidation (autotrophic and heterotrophic nitrification) and nitrate (NO3) reduction (denitrification and dissimilatory nitrate reduction to ammonium (DNRA)) pathways18,19,20. In addition, direct release of HONO by NH3 oxidizers (autotrophic nitrifiers) has also been demonstrated10,21. Although the mechanisms that underpin HONO production are not yet fully understood, several studies have demonstrated the importance of microbial pathways in soil HONO production9,10,11,12,13,14,15,16,17. However, abiotic pathways (e.g., hydroxylamine+water = HONO) have been proposed but have not been investigated in soils to date21.

The first evidence on a potential link between soil HONO emissions and underlying microbial processes was provided conducting 15N tracer experiments, showing that nitrifiers outpaced denitrifiers in soil HONO emissions22. Another study23, proving the concept, also provided evidence on the participation of microbial processes in soil HONO emissions, especially the involvement of NH3 oxidizers (nitrifiers) by using 15N-labeled urea. To date, only one systematic study has addressed the pathways of soil HONO formation using a tracer approach (labeled ammonium (15NH4+)), highlighting the sole importance of NH3 oxidizers in HONO production and excluding the role of NO3 reduction in aerobic soils11. However, microbial NO3 reduction is a widespread phenomenon in soils of many ecosystems24, with NO2 produced as an intermediate of the process. Recently, the participation of denitrification processes in water-saturated soils (~100% water-holding capacity (WHC)) was demonstrated for soil HONO formation, suggesting that NO3 reduction to NO2 under anoxic conditions could be crucial for soil HONO emissions25. Nevertheless, besides water-saturated conditions, soil aggregates can also generate anoxic microsites that can favor microbial NO3 reduction in water-unsaturated soils, e.g., in agricultural soils26,27. In addition, the relative contribution of different microbial pathways to HONO production may vary in soils, as—beyond soil moisture and oxygen saturation—microbial activity is also influenced by soil pH, organic matter (OM) content, soil carbon to nitrogen (C:N) ratio, and temperature19,28,29. Thus, HONO production could occur at the microscale level and by contrasting pathways that need to be further investigated. Moreover, the proposed abiotic pathway21 needs to be addressed in soils. Thus, in order to get a better understanding of the processes that contribute to HONO emissions from soils and their impact on the global HONO budget, the expected link between the soil inorganic N cycle and HONO formation requires further investigation9,30,31. Agricultural soils, which cover 50% of the global habitable land area32,33, possess a strong potential to release HONO because of enhanced N fertilizer use, which is expected to increase by ~2–4-fold by 205034. Therefore, it is crucial to understand HONO production pathways in agricultural ecosystems.

This study focused on the understanding of HONO production and emissions from agricultural soils of the boreal region, which are typically acidic (pH < 7)9. To date, only three studies12,13,15 have investigated HONO emissions from boreal agricultural soils. Yet, the processes and pathways behind those HONO emissions have not been demonstrated. In this study, we performed a series of 15N tracer experiments to understand HONO production pathways in two distinct boreal agricultural soils in Finland; one with a low organic matter (LOM) content and the other with a high organic matter (HOM) content (Supplementary Table 1). First, we aimed to distinguish between biotic and abiotic HONO production pathways by adding 15N-labeled NO2(LNi) to both, live, and sterile soils. Second, to determine the contribution of the two main biotic HONO production pathways (microbial NH3 oxidation and NO3 reduction), we performed separate experiments using 15N-labeled ammonium (NH4+, LA) and NO3 (LNa) in live (non-sterilized) soils. The HONO flux rates were then compared with data compiled in a global HONO flux rate synthesis, which was generated for the first time here. In addition, gross NO2 production rates across soil pH levels, and the contribution of nitrification and denitrification to the soil NO2 pool were also compared with published data.

Results

Time kinetics of added 15NO2 and HO15NO production in live and sterile soils

We sterilized the soil samples by autoclaving to ensure that the biotic pathways that produce HONO via NO2 or NH3-oxidizing microbes were completely blocked. Autoclavation is the most effective sterilization method in soils, though autoclavation can alter the structure of OM content and cause disaggregation, for example, increasing the availability of dissolved organic matter35. We examined the 15N atom percent excess (APE) of emitted HONO (HO15NO APE) and of soil NO2 (15NO2 APE) in live and sterile soil samples from time zero to 240 minutes, after the addition of labeled 15NO2 (LNi) and unlabeled NO2 (control) (Fig. 1).

Fig. 1: The 15N atom percent excess (APE) of nitrous acid (HONO) and soil nitrite (NO2) in labeled 15NO2 (LNi) and control treatments.
figure 1

The 15N enriched HONO and NO2 produced over time (x axis) after the addition of labeled (treatment LNi; pink) or unlabeled NO2(treatment control; light green) is shown as 15N APE of HONO and NO2 on the y axis. At zero min, labeled 15NO2 was added to increase APE to 50% in the live (a, b) and sterile (c, d) high organic matter soils (a, c) and low organic matter soils (b, d). The square and triangle symbols indicate 15N APE of HONO and NO2, respectively. The data points show the mean values, and error bars denote standard deviation (n = 3). Note: the error bars, in some cases, are smaller than the size of the symbols. Statistical results are shown in Supplementary Tables 23.

In the LNi treatment under live conditions, labeled 15NO2 gradually declined (Fig. 1a, b), indicating the presence of active microbial pathways that produce and consume NO2. Further, 15NO2 consumption was not equally accompanied by 15NO3production (by nitrifiers) under live conditions (Supplementary Figure 1). Microbial NO2 production pathways led to a 50% decrease in 15NO2 APE by the end of the experiments in both soils (Fig. 1a, b, Supplementary Table 23). Both soils also showed a steady decrease in HO15NO APE under live conditions, with the HOM soils exhibiting a stronger decrease than the LOM soils. Under sterile conditions, 15NO2APE remained stable at the approximate initial values during the whole incubation period, confirming the blockage of biotic pathways that produce NO2 (Fig. 1c, d). Despite stable 15NO2 APE, HO15NO APE decreased towards the end of the incubation period under sterile conditions (Fig. 1c, d), although the 15N depletion of HO15NO occurred later in time and was less pronounced (at least for LOM) than under live conditions.

Relationship between biotic pathways and HONO production

To further disentangle the biotic HONO production pathways (in addition to 15NO2 (LNi; see experiment above)), we added 15NH4+ (LA) and 15NO3 (LNa) to the live soil samples and measured the subsequent change in 15NO2 and emissions of HO15NO. We also quantified gross production and gross consumption rates of NH4+, NO2, and NO3 in the live soil samples, based on 15N pool dilution approaches, to better explain the relationship between the microbial pathways that use 15NH4+ and 15NO3 to produce HONO. Production (i.e., N mineralization) and consumption rates of NH4+ were relatively low and did not differ between soils. Production (i.e., nitrification) and consumption rates of NO3 were 6–24 times higher than gross NH4+ turnover rates and were significantly higher in the HOM soil than the LOM soil (Fig. 2a). Gross NO2 production and consumption rates ranged between the values observed for nitrification and mineralization, and were not significantly different between the two studied soils. Production of 15NO2 increased gradually in the LNa treatment in both soils, which exhibited high NO3 consumption rates (Fig. 2a–c, Supplementary Table 4), indicating that the reduction of NO3 to NO2 is a crucial biotic pathway in both water-unsaturated soils. Despite high nitrification rates (22 µg N gdw−1 d−1) in the HOM soil, the magnitude of 15NO2 and HO15NO production during nitrification was smaller compared with NO3 reduction (Fig. 2b, treatments LA vs. LNa), which suggests that the capability to nitrify by the NH3 oxidizers, which reside in the HOM soil, was lower compared with the NO3 reducers that shared the same environment.

Fig. 2: Gross transformation rates of mineral nitrogen and production of 15NO2 and HO15NO in live soils.
figure 2

Gross consumption and production rates (µg N gdw−1 d−1) of NO2, NO3, and NH4+ in the live soil samples from the high (HOM; sky blue bar) and low (LOM; turquoise bar) organic matter soils are shown on the x axis of a. a also shows the maximum biotic HONO emission rates expressed in the same units as gross nitrogen transformation rates. For clarity, it is shown as an inset figure. 15N enriched HONO (squares) and NO2 (triangles) production over time (x axis) after the addition of 15NH4+ (treatment LA; dark brown), 15NO3 (treatment LNa; dark orange), and natural 15N abundance (treatment control; light green) in the live soil samples from the HOM (b) and LOM (c) soils are shown as 15N atom percent excess (APE) of HONO and NO2 on the y axis. Bars and data points in ac show the mean values, and error bars denote standard deviation (n = 3). Nitrification (F = 9.00, P = 0.03) and NO3 consumption (F = 8.98, P = 0.04) rates were significantly higher in the HOM soil than in the LOM soil, which is shown by asterisks. The absence of an asterisk right to the bars in a indicates no statistical difference in corresponding rates between the soils. Statistical results for b and c are shown in Supplementary Tables 23. a n.d. denotes not detected.

The contribution of the microbial pathways that use NH4+ and NO3 to total production and emissions of HONO was evident. In general, reduction of 15NO3 affected the production of HO15NO via 15NO2 formation, as 15N APE values of HONO (on average ~1–18% in the LOM soil and 1.2–18% in the HOM soil) and of NO2 increased gradually with time only in the LNa treatment in both soils (Fig. 2b–c). The strong relationship between produced HO15NO and added 15NO2 (LNi treatment), or with 15NO2produced from 15NO3 (LNa treatment) (Supplementary Figure 2), further confirmed that HONO was generated mostly from NO2 produced via microbial NO3 reduction in both soils. In addition, the observation that HONO emission rates decreased with decreasing NO2 concentrations (Supplementary Figures 36 and Supplementary Table 4) would also suggest that HONO production and emissions are directly linked to soil NO2, especially in LOM soil. The HOM soil showed a curvilinear relationship between HONO emissions and soil NO2 concentrations (Supplementary Figure 6a), indicating rapid NO2 consumption processes that competed tightly with HONO production via the soil NO2 pool. In contrast, microbial NH4+ oxidation occurred only in the HOM soil but not in the LOM soil. Production of HO15NO (from 0.1 ± 0.1 at 30 min to 0.4 ± 0.1% 15N APE at 240 min) and 15NO2 (from 0.2 ± 0.3 at 90 min to 1.6 ± 1.3% 15N APE at 240 min) from 15NH4+ (LA treatment) was less than NO3 reduction (LNa treatment), and showed a weak, insignificant association (Supplementary Figure 2).

Quantification of HONO emissions by biotic and abiotic processes

In the presence of microbial activity in the live soil samples, a two-source isotope mixing model36 showed that NO2 contributed 100% to HONO production in the LOM soil and 81% in the HOM soil. In the latter, (in addition to NO2) an additional biotic HONO source contributed 19% to HONO production towards the end of the incubation period (Fig. 3a). Despite the presence of a consistent HONO precursor (i.e., NO2), the dynamics of biotic HONO emissions in the LOM soil differed from the HOM soil (Fig. 3b). Biotic HONO emissions in the LOM soil peaked at 180 min and then decreased slightly until the end of the incubation, whereas biotic HONO emissions increased gradually in the HOM soil, and saturated after 180 min (Fig. 1, Fig. 3b). Microbial processes produced 10.5 ng N m−2 s−1 and 24.3 ng N m−2 s−1 of HONO in the HOM and LOM soils, respectively (Fig. 4).

Fig. 3: Source contribution and nitrous acid (HONO) emission rates from biotic and abiotic sources.
figure 3

a, c Show the fraction of source contributions in live and sterile soil samples, respectively, from the high organic matter (HOM; sky blue) and low organic matter (LOM; turquoise) soils. b, d Show the biotic and abiotic HONO emission rates (ng N m−2 s−1), respectively, in both soils. The symbols in a and c indicate the HONO sources, nitrite (NO2; triangles), sources other than NO2 (empty diamonds), and unknown (filled diamonds). Data points with error bars in a, c and filled areas in b and d show the mean values and standard deviation (n = 3). Source contributions to soil HONO emissions at 180 and 240 min in a are the maximum values from a single replicate in HOM soil. ad were created using the data from the LNi treatment of the respective soils and conditions (see the Methods section for details).

Fig. 4: Total soil nitrous acid (HONO) emission rates via abiotic and biotic processes, with the relative contribution of biotic pathways to HONO production as inset.
figure 4

Total HONO emissions represent the rate of soil HONO production averaged over 240 minutes of HONO flux measurements. Total HONO production rates (ng N m−2 s−1) for the soils with high organic matter content (HOM, sky blue bar) and low organic matter (LOM, turquoise bar) are shown on the y axis. Bars show the mean values, and the error bars denote the standard deviation (n = 3). Inset shows the fractional contribution of microbial ammonium (NH4+) oxidation (dark red), nitrate (NO3) reduction (light brick red), and organic nitrogen (org. N) oxidation to nitrite (purple) pathways in each soil.

Although 15N enrichment of NO2 remained constant in the sterile soil samples (as expected if only biotic processes form NO2), HO15NO declined, which indicates the presence of an unknown abiotic HONO source (Fig. 3c, d). In the absence of microbial activities in the sterile soils, the unknown HONO production source increased with time (Fig. 3c). Furthermore, the unknown HONO source was more pronounced in the HOM soil than in the LOM soil (Fig. 3c). In the latter, the contribution of the unknown source to total HONO flux peaked at the end of the incubation, reaching a maximum of 22%. In the HOM soil, the contribution from the unknown source increased gradually, exceeding HONO production from soil NO2 at the end of the incubation, and contributed up to 52%. In both soils, the fractional contributions of the unknown source and abiotic HONO emissions showed similar increasing trends (Fig. 3c, d). In comparison with the LOM soil, the HOM soil had a greater contribution of an unknown source and also greater abiotic HONO emission rates (Fig. 3d).

Discussion

Soil HONO emissions in our boreal agricultural soils (10.5–24.3 ng N m−2 s−1, Fig. 4) were relatively high compared to a global synthesis of soil HONO emission rates (median 5.0 ng N m−2 s−1, n = 199; Fig. 5, Supplementary Data 1), but were reflective of managed soils, where fertilization or grazing promote N cycling, which increases soil HONO emissions (cropland ≥ grassland ≥ forest, and peatland, Fig. 5). Only deserts showed greater HONO emissions, indicating arid biological soil crusts being hotspots of HONO emissions globally37.

Fig. 5: Global synthesis of soil nitrous acid (HONO) emissions rates, gross nitrite (NO2) production, and the contribution of biotic pathways to the soil NO2 pool.
figure 5

a Shows log-transformed HONO emission rates (ng N m−2 s−1) from the soils of a number of ecosystems under different management practices. Each yellow box denotes interquartile range (IQR; 25th percentile at lower end to the 75th percentile at upper end) with a central black line as median, lower whisker as a minimum (25th percentile — 1.5 × IQR), upper wisher as a maximum (75th percentile + 1.5 × IQR), and filled black circle as an outlier of sample numbers presented above the boxes of respective soil management practices. See Supplementary Data 1 for more details. Different letters in a indicate significant differences between means (F = 22.64, P < 0.05) in HONO emissions in different ecosystems. The correlation in b shows the relationship between gross nitrite production rates (µg N gdw−1 d−1) and soil pH in this study (pink triangle) and from synthesized data (light brown), i.e., Supplementary Data 2. The slope in b is marginally significant (P < 0.1), whereas the intercept is significant at P < 0.05. c Shows the percentage (%) contribution of different biotic pathways, organic nitrogen oxidation (white bar), nitrification (light gray bar), denitrification (dark gray bar), and ratio of denitrification to sum of nitrification and denitrification (black bar) to the soil NO2 pool. See Supplementary Data 2 for more details.

Biotic pathways of soil HONO formation and significance

A consistent decrease in the 15N enrichment of HONO, in parallel with that in NO2 in the live soil samples, and much higher rates of HONO production in the live soil samples compared with the sterile soil samples confirmed that microbial processes are the most important HONO sources in soils. Although soil HONO emissions have been previously linked to soil NO2 based on physicochemical reasoning (acid-base equilibria between H+ and NO2-producing HONO)9, here for the first time we unequivocally and causally link the soil NO2 pool with HONO emissions, based on 15N tracing and liquid chromatography-high resolution mass spectrometry. The findings further demonstrate that microbial NO3 reduction dominated HONO production and by far exceeded the concurrently accepted major HONO production pathway, i.e., NH3 oxidation by autotrophic nitrifiers, in aerobic, water-unsaturated soils, here boreal agricultural soils (Figs. 2a–c, 3b). Among the three soil NO2-producing microbial pathways, only NO3 reduction triggered significant 15NO2 and HO15NO production in both soils. Soil NO3 reduction was solely linked to the presence of the periplasmic NO3 reductase (napA) gene, as the cytoplasmic NO3 reductase (narG) gene38 was absent in both soils (Supplementary Figure 7). The lack of 15NH4+ production from 15NO3 in the LNa treatment (Supplementary Figure 1) suggests that DNRA (dissimilatory nitrate reduction to ammonium) was absent and that denitrification dominated microbial NO3 reduction and soil HONO emissions. This is further confirmed by the absence of the key DNRA gene, i.e., nitrite reductase (nrfA)18,39, whereas the genes of key denitrifying genes were abundant, e.g. napA, nirK, nirS, and nosZ (Supplementary Figure 7). Nitrification only contributed to a small extent to soil HONO production (Fig. 4), and was only found in the HOM soil (Fig. 2b). Nitrification could be attributed to the presence of bacterial and archaeal NH3 oxidizers10,21, as suggested by higher gene copy numbers of bacterial (and archaeal) ammonia monooxygenase (amoA) in the HOM soil (Supplementary Figure 7), and these are capable of directly producing HONO10 before accumulating NO2 (Supplementary Figure 2). Decoupling of microbial NO3 reduction (high 15NO2 output, Fig. 2a) and biotic HONO production (Fig. 4) in the HOM soil could be associated with the combined effect of microbial NO2 consumption and abiotic NO2 reactions with soil OM via nitration and nitrosation40. In these soils, we observed a curvilinear relationship between soil NO2 concentrations and HONO emission rates (Supplementary Figure 6a), which indicates a gradual conversion of NO2 to NO3 (Supplementary Figure 1) and concurrently occurring chemical reactions between NO2 and soil OM40, the latter of which surpass HONO formation via NO2 after reaching an optimum.

Soil moisture is an important environmental driver of soil HONO emissions. Maximum soil HONO emissions were identified in a wide range of ecosystems under low soil moisture contents (“dry” peak at 20–30% WHC)9,10,25. Such HONO emission peaks occurred during progressive reduction in soil moisture in the experiments and were linked to nitrifiers as NH3 oxidation is an aerobic pathway and requires oxygen. Therefore, it was assumed that with soil moisture reduction and progressively developing the aerobic condition, NH3 oxidation10,21 dominates soil HONO production and emissions. However, the 15NH4+ supplemented LOM soil did not emit HO15NO, even until the end of the experimental period, despite a slight reduction in soil moisture (from 60%start to 51%end WHC; Supplementary Figure 8). In contrast, 15NH4+ supplemented HOM started to emit HO15NO, presumably by NH3 oxidizers10,21, from the middle of the experiment (Fig. 2b, Supplementary Table 23), despite a smaller reduction in soil moisture (from 60%start to 54%end WHC) compared with the LOM soil (Supplementary Figure 8). In our study, we did not measure HONO emissions for longer periods and therefore did not reach lower soil moisture regimes, for example, 20–30% WHC, at which the contribution of nitrifier pathways could increase10,21. For example, Wu et al.23 showed that soil HONO emissions (at 20–30% WHC) were driven by NH3 oxidation in a pH neutral soil from the temperate region. On the other hand, Kubota and Asami22 estimated that ~69% of the soil emitted HONO originated from NH3 oxidation at 60% WHC from sub-tropical acidic soils (pH = 4.8–5.8) incubated at 30°C for 30 days. Our estimation shows that NH3 oxidation contributed only 0–10% to the total biotic HONO emissions (at 60–54% WHC range) from slightly acidic (pH = 6.1) boreal agricultural soils incubated at 21 °C for 48 hours. The likely reason for higher contributions of nitrifiers to soil HONO emissions in the two earlier studies22,23 could be differences in soil moisture and temperature between studies, which are known to control the activities of NH3 oxidizers29 and thereby of soil HONO emissions10,23,25. Nevertheless, our results obtained from the LA treatments in two boreal agricultural soils suggest that the capabilities of NH3 oxidizers to produce HONO10,21 vary according to soil type and/or climatic zone, which requires further studies.

Besides soil moisture, soil pH also has a significant role in HONO emissions. Although nitrification (especially by bacterial ammonia oxidizers) decreases towards low soil pH levels41, at the same time, regardless of its source, rapid protonation of NO2 in acidic soils9 can promote soil HONO formation and release. The reported HONO release from soils by acidophilic and high NH3 affinity archaea11,41,42 was lower than HONO emissions via microbial NO3 reduction (Supplementary Figure 9), further supporting our finding that soil NO2 via microbial NO3 reduction is crucial for HONO production, especially in soils with pH < 7. In addition, denitrification demands the presence of protons (2NO3 + 10e + 12H+→N2 + 6H2O) and therefore shows a pH optimum under acidic conditions unlike nitrification, which does the opposite, i.e., it releases H+ (NH3 + 2O2 → NO3 + H+ + H2O) into the soil and therefore shows a pH optimum at neutral to alkaline conditions. Therefore, acidic soils are likely to favor NO3 reduction via denitrification under suitable conditions, such as ample NO3 availability and anoxic microsites. Moreover, our data synthesis clearly shows that gross NO2 production rates increase in acidic soils (Fig. 5b, Supplementary Data 2). In published studies that have examined the contribution of nitrifiers and denitrifiers to soil NO2 production, an average 48% and 57% of the NO2 source was contributed by denitrifiers (n = 82, Fig. 5c, Supplementary Data 2), when organic N oxidation to NO2 by heterotrophic nitrifiers was included or excluded. The relationship between soil NO3 reduction by denitrifiers and soil HONO emissions as found in our study is in agreement with Wu et al.25 who recently demonstrated high HONO emissions from soils under water-saturated, anaerobic conditions (“wet” peak caused by microbial NO3 reduction at ~100% WHC). However, here we show the importance of microbial NO3 reduction for HONO production under water-unsaturated, aerobic soil conditions (between 51% and 60% WHC). This suggests that not only water-saturated, anoxic soils, but also anoxic microsites in aerobic soils that are commonly generated in the interior of soil aggregates26 are key to the promotion of microbial NO3 reduction and soil HONO formation. Therefore, soil HONO production via microbial NO3 reduction in aggregates is likely a more widespread phenomenon because of the anoxic soil microsites and the ubiquity and diversity of NO3 reducers (archaea, fungi, bacteria) in a wide range of ecosystems24,43, and across a wide range of soil pH and moisture contents.

Abiotic pathway of soil HONO formation

Decreasing 15N enrichment in HONO in sterile soils, despite the constant 15N enrichment in NO2, suggests the presence of an abiotic HONO production pathway. With consistent 15N enrichment in NO2 and zero microbial production and consumption of NO2 (Fig. 1), we can only assign the observed HONO flux to an unknown abiotic source, not related to the soil NO2 pool. As our HONO measurements were conducted in Teflon coated (inner wall) chambers in the dark, heterogeneous reactions that require nitrogen dioxide (NO2) and light conditions to form HONO44,45 are expected to be insignificant. Also, the absence of microbial NO2 production in sterile conditions precludes the possibility of HONO production via self-decomposing HNO2, as its products (NO2 and nitric oxide (NO) gases) must pass through the soil NO2 pool46. Recently, a reaction between soil hydroxylamine and H2O has been suggested to produce HONO abiotically on glass beads21, although there is little evidence for this phenomenon in soils. Nevertheless, abiotic production of HONO was twofold higher (Fig. 4) in the HOM soil (1.3 ng N m−2 s−1) compared with the LOM soil (0.6 ng N m−2 s−1), which indicates that soil OM may play a role in the abiotic formation of HONO. This unidentified abiotic HONO pathway, which does not require passage through the soil NO2/HNO2 pool, clearly needs further investigation.

Conclusion

We confirmed that microbial processes are essential for HONO emissions from agricultural soils, as they contributed 8–42 times more to soil HONO emissions than abiotic processes (Fig. 4). Using 15NO2, 15NO3, and 15NH4+ tracers, we showed, for the first time, that microbial NO3 reduction (denitrifiers) is driving soil HONO emissions in aerobic soils, by fueling the soil NO2. Other microbial pathways contributed little or not to HONO production, i.e., nitrification (NH3 and organic N oxidation) and DNRA (Figs. 4, 6). We conclude that microbial processes are essential for soil HONO emissions, and that the microbial NO3 reduction pathway could be a significant contributor in aerobic soils of many ecosystems. Moreover, abiotic HONO production pathways that have remained elusive could exist in soils, thereby contributing to notable emissions of HONO to the atmosphere, although microbial pathways are dominant. Therefore, in order to better understand the impact of soil emitted HONO on the seasonally changing atmospheric HONO budget, atmospheric OH radical production and associated atmospheric chemistry30,31,50 (at present and in the future under a changing climate), we suggest that future studies should assess the relative contribution of microbial pathways, in tandem with concurrent abiotic processes (Fig. 6), to soil HONO production, by applying appropriate 15N tracer approaches.

Fig. 6: Conceptual model showing nitrous acid (HONO) production pathways associated with the nitrogen cycle in agricultural soils.
figure 6

Pathways associated with HONO production are indicated with solid colored arrows and are defined at the bottom left of the figure. Pathways that are yet to be confirmed (e.g., NH2OH + H2O and DNRA) or having potential but were not studied yet, i.e., chemo-denitrification concerning HONO production in soils, are indicated by dotted colored arrows and with question marks (?). Chemo-denitrification is a process associated with the abiotic reaction of nitrite or nitrate in the presence of amines, reduced metals (e.g., Fe2+), and high soil organic carbon47,48,49 to gaseous nitrogen forms. Arrows denoting denitrification are thickest, indicating denitrification to be the most significant pathway of HONO production via the soil nitrite (NO2) pool in soils with pH <7. This conceptual model is based on findings here, and literatures published earlier.

Methods

Soil sampling and sample preparation

Two soils (HOM and LOM) with distinct edaphic properties (Supplementary Table 1) were sampled from two separate agricultural fields maintained by the Natural Resources Institute Finland (LUKE) in eastern Finland, Maaninka (63°09ʹ N, 27°20ʹ E). According to the World Reference Base of soils51, the LOM soil is classified as a Dystric Regosol, which covers 2% of the global land surface and the HOM soil is classified as a Histosol, typical of the northern latitudes, and covers 2.5% of the global land area, though 30% in Finland. The sampled bulk soils (0–20 cm soil depth) were immediately transported to the laboratory where the roots and remaining plant parts were removed manually. Then the soils were homogenized, sieved (4 mm), and stored at 4 °C until the start of the experiments. 15N tracer experiments were conducted with live (non-sterile) and sterile (autoclaved) soil conditions. More details are described in the Supplementary Methods.

15N tracer experiments

In all, 100 g of soil (live or sterilized) were transferred to a sterile petri dish (Ø 0.137 m, h = 0.017 m) with a sterilized spatula, and 15N tracer solution was added evenly to the soil surface with a pipette, immediately prior to the HONO measurements. We used three different tracers, 15NO2, 15NH4+, and 15NO3, thereby establishing three different treatments: labeled nitrite (LNi), labeled ammonium (LA), and labeled nitrate (LNa), respectively. We also established a control treatment, where live and sterile soil samples received all three N forms at natural 15N abundance. More details are described in the Supplementary Methods.

HONO flux measurements and flux calculation

The 15N-amended samples were immediately transferred inside an opaque dynamic chamber, and HONO concentrations were measured with a Long Path Absorption Photometer instrument (LOPAP)52. The HONO flux was measured as described in Bhattarai et al.15. More details are provided in the Supplementary Methods.

Isotope pool dilution assays and determination of isotope ratios

The Isotope pool dilution (IPD) assays53 were performed for all three N pools in live and sterile soil samples. For IPD assays, 4 g fresh soil (live or sterile) were weighed into 50 ml sterile polypropylene tubes (CELLSTAR®, Greiner BIO-ONE) and supplemented with 300 µl 15N tracer mix. Here, concentrations and atom% of tracer solutions and the soil moisture content were the same as used in the HONO flux experiments. After tracer addition, the tubes were vortexed for 2 minutes to allow the tracers to mix sufficiently in the soil matrix. The incubations were stopped by extraction with 30 ml cold (4 °C) 1 M KCl at zero, 30, 60, 90, 120, 180, and 240 minutes. The isotope ratios (15N/14N) in NH4+ and NO3 were determined using the micro-diffusion method53 in the soil extracts collected at zero, 90, 180, and 240 during the IPD experiment. More details are provided in the Supplementary Methods.

Collection and purification of HONO and NO2 azo dyes

The collection and purification of HONO and NO2 azo dyes were performed following Wu et al.23, who established a method to analyze 15N APE in gaseous HONO. In the LOPAP instrument, HONO is reacted to an azo dye (C18H19O2N5S). Gaseous HONO is scrubbed in two sequential reactions, first with acidic sulfanilamide solution (R1) in a two-channel striping coil, and second with N-(1-Naphthyl)ethylenediamine solution (R2), which was collected separately from channel 1 and channel 2 after photometric detection in the LOPAP52. Each 5 ml of HONO azo dye solution was collected in 15 ml sterile polypropylene tubes (CELLSTAR®, Greiner BIO-ONE) at six sampling points that ended at 30, 60, 90, 120, 180, and 240 minutes after connecting the soil samples to the LOPAP. In parallel, NO2 azo dyes were produced from the soil extracts collected during the IPD experiment and standards using an identical approach for preparing azo dye23. Immediately upon extract collection at each time point, 5 ml azo dye was generated by reacting 2.5 ml R1 + R2 mix (mixed at 1:1 (v:v) ratio) with 2.5 ml soil extract or standards. The R1 and R2 solutions used in the LOPAP instrument and for generating NO2 azo dyes in the soil extracts were of the same concentrations and the same chemical brand. The generation of NO2 azo dye from the soil extracts in the IPD assays was done for the first time in this study to understand the dynamics in the isotope ratios (15N/14N) of NO2 produced by different microbial N cycling pathways and to relate them to the isotope dynamics of HONO emitted from soils. HONO and NO2 azo dyes were purified by a reversed-phase extraction, according to Wu et al.23, except for the volume of acetonitrile and milli-Q H2O used for the preconditioning and final washing step of SPE (Solid Phase Extraction) columns. We used 1 ml acetonitrile and 2 ml milli-Q H2O more than used by Wu et al.23, to ensure the best cleaning of SPE columns (during preconditioning) and to maximize the removal of inorganic ions (in the final washing step). In brief, the pH of the azo dye solutions was adjusted to ~5 with 2 M sodium hydroxide and loaded onto 6 ml pre-conditioned SPE columns (Discovery® DSC-18 6 ML/500MG SPE, Sigma-Aldrich). The SPE columns were pre-conditioned by washing with 3 ml acetonitrile (HPLC grade, ≥99.8%, Thermo fisher Scientific) followed by 4 ml milli-Q H2O (18.2 MΩ). The SPE columns loaded with azo dye were then washed with 4 ml milli-Q H2O and stored at −20 °C for further analyses.

Elution and analyses of HONO and NO2 azo dyes

The frozen SPE columns were transported to the Terrestrial Ecosystem Research laboratory, University of Vienna, Austria, within one month after collection, where elution and analyses were performed. To avoid temperature effects (if any) during transportation, the frozen samples were transported in a sealed cooling box that contained ice bags. Immediately upon arrival, they were transferred to a −20 °C freezer until elution. The elution and analyses of HONO and NO2 azo dyes were different from those in Wu et al.23. The fundamental difference was the instrument used to analyze the isotope ratios (15N/14N) in HONO and NO2 azo dyes. In our study, we analyzed HONO and NO2 azo dyes with an UPLC system (Ultimate 3000, Thermo Fisher Scientific, Bremen, Germany) coupled to an Orbitrap Exactive HCD MS (Thermo Fisher Scientific) with a mass resolution of 50,000. The choice of the device was made to optimize the detection of the 15N signal in azo dyes, as suggested by Wu et al.23. The high resolution, high mass accuracy, and sensitivity of the Orbitrap-MS allowed us to separate the 15N and 13C isotopologue peaks that have a very small mass difference (∆mass of 0.00632 Da)54,55. This and similar instruments are widely used to study metabolites, including those in soil extracts56. The choice of instrument (with electrospray ionization) eventually also led us to use eluents and reagents different from Wu et al.23 for elution and chromatographic separation. Prior to elution, the SPE columns were transferred to room temperature for 20 minutes. Azo dyes were eluted with 5 ml eluent [80% methanol (HPLC grade, Sigma-Aldrich, ≥99.9%)+1% formic acid (98–100%, Merck Pro analysis)] using SPE vacuum manifolds. The eluates were diluted at 1:1 (v:v) ratio with milli-Q H2O and analyzed on the same day of elution. More details are provided in the Supplementary Methods.

Calculation of 15N enrichment in HONO and NO2 azo dyes

The 14N and 15N peak areas in the samples and calibration standards were integrated manually with Xcalibur software and exported into Microsoft Excel sheets for further calculations. After blank correction of the 14N and 15N peaks of the samples and standards, we then calculated the concentrations (µM) of the samples using the peak area sum (area of 14N plus area of 15N peaks), based on the slope and intercept build from the unlabeled concentration calibration standards using equation 1. Next, we calculated the percentage (%) of isotopically heavy (i.e., 15N) molecules of total molecules by dividing the peak area of the heavy isotopologues by the peak area sum of heavy and light isotopologues, as shown in Eq. 2. The atom% 15N of the azo dyes of HONO and NO2 were quantified from a series of polynomial functions generated from % of the heavy atoms (theoretical 15N in NO2 azo dye of isotope calibration standards) and atom% 15N measured in NO2 azo dyes by LCMS at two concentration levels of nitrite, 1.56 µM and 25 µM, and their average. These polynomial functions were applied depending upon the concentration and % of heavy isotopologues in the azo dye samples, which adapted within and between samples over time (e.g., LA vs. LNa vs. LNi treatments). The calibration curves for concentration from natural abundance calibration standards and theoretical 15N atom% 15N in NO2 azo dyes and atom% 15N as measured by LCMS at 1.56 and 25 µM labeled calibration standards are shown in the Supplementary Methods and in Supplementary Figure 10.

$${\mathrm{Azo}}\,{\mathrm{dye}}\,{\mathrm{concentration}}\,(\mu {\mathrm{M}}) = \frac{{{\mathrm{peak}}\,{\mathrm{area}}\,{\mathrm{sum}} - {\mathrm{intercept}}}}{{{\mathrm{slope}}}}$$
(1)
$$\% {\mathrm{of}}\,15{\mathrm{N}}\,{\mathrm{atom}} = \frac{{{\mathrm{peak}}\,{\mathrm{area}}\,{\mathrm{of}}\,15{\mathrm{N}}\,{\mathrm{atom}}}}{{\left( {14{\mathrm{N}} + 15{\mathrm{N}}} \right){\mathrm{peak}}\,{\mathrm{area}}}} \times 100$$
(2)

Gross rates

Gross production and consumption rates of NO2, NH4+, and NO3 were calculated according to Kirkham and Batholomew53. More details are provided in the Supplementary Methods.

Source contribution and determination of abiotic and biotic HONO fluxes

The contributions (%) of NH4+ oxidation, NO3 reduction, and organic nitrogen oxidation (the inset in Fig. 4) were calculated using the slopes (Fig. 2b–c) generated between 15NO2 and HO15NO from the live soil samples of the LNi, LNa, and LA (only in the HOM soil) treatments. The contribution of NH4+ oxidation and NO3 reduction was obtained by dividing the respective slopes by the slope between 15NO2 and HO15NO in the LNi treatment. The contribution of organic N oxidation was obtained by subtracting the sum of NH4+ oxidation and NO3 reduction from 100%. The contribution of a potentially unknown abiotic HONO source was quantified from the LNi treatment using Eqs. 3 and 4.

$${\mathrm{atom\% }}_{{\mathrm{mixture}}} = \left( {{\mathrm{atom\% }}_{{\mathrm{source}}1}} \right) \times f_1 + \left( {{\mathrm{atom}}\% _{{\mathrm{source}}2}} \right) \times f_2$$
(3)
$$f_1 = \frac{{({\mathrm{atom}}\% _{{\mathrm{mixture}}} - {\mathrm{atom}}\% _{{\mathrm{source}}2})}}{{({\mathrm{atom}}\% _{{\mathrm{source}}1} - {\mathrm{atom}}\% _{{\mathrm{source}}2})}}$$
(4)

In Eqs. 3 and 4, atom% represents the values of the mixture and the sources (i.e., source 1 and source 2), and the fractional contributions of source 1 and source 2 are represented by f1 and f2, respectively. Here, the mixture was HONO, source 2 was NO2 and source 1 assumed to be at natural 15N abundance, i.e., 0.3663 atom% 15N. The fractional contribution of an unknown source (i.e., f1) was determined using Eq. 4, with the assumption that the sum of fractional source contributions is 1, and that the contribution of NO2 (f2) is determined by 1−f1. The abiotic and biotic HONO emissions were quantified using the HONO emissions from live and sterile LNi treatment. To obtain an estimate of the abiotic HONO flux, we quantified the HONO flux, which solely originated from NO2 and was subtracted from the total HONO emitted there, in the LNi treatment that used fractional contributions of NO2 to HONO emissions (ng N m−2 s−1) in the sterile soil samples. For the biotic HONO flux, HONO that originated from the NO2 added to the sterile soils was subtracted from the HONO measured from the live soil samples.

Total HONO

Total abiotic and biotic HONO represents the emission rates of soil HONO production averaged over 240 minutes of HONO flux measurements. To do that, first, total HONO in ng N m−2 was obtained for all replicates separately. Here, the HONO emission rates (in µg N m−2 s−1) at each sampling point were multiplied by the time in seconds between the two consecutive sampling points, and their sum was calculated to obtain the total HONO. The total HONO (ng N m−2) thus obtained was divided by 14,400 (240 × 60) for all replicates separately to get the HONO emissions rate averaged over 240 minutes in ng N m−2 s−1. Finally, mean values and standard deviations were calculated for the abiotic (sterile soil samples) and biotic (live soil samples) sources.

Soil analyses

A detailed description of basic soil properties (Supplementary Table 1) and mineral N concentrations (Supplementary Figures 45) are provided in the Supplementary Methods.

Nucleic acid extractions, purification, and gene quantification

Nucleic acids in both soils were extracted from the control samples, which were used for HONO flux measurements in accordance with a protocol based on Yeates and Gillings57 and Griffiths et al.58. Real time quantitative polymerase chain reactions were used for gene quantification. Details on nucleic acid extractions and gene quantification are explained in the Supplementary Methods and in Supplementary Tables 56.

Statistics

Statistical analysis and graphical presentations were performed in R statistical software (R version 3.6.1), unless otherwise specified. Before performing a statistical test, the distribution of the data was assessed using the Shapiro–Wilk test, Q–Q plots, and histograms, and were transformed (log or square root) when required. More details are provided in the Supplementary Methods.