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Nitrogen in the Earth: abundance and transport

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Abstract

The terrestrial nitrogen budget, distribution, and evolution are governed by biological and geological recycling. The biological cycle provides the nitrogen input for the geological cycle, which, in turn, feeds some of the nitrogen into the Earth’s interior. A portion of the nitrogen also is released back to the oceans and the atmosphere via N2 degassing. Nitrogen in silicate minerals (clay minerals, mica, feldspar, garnet, wadsleyite, and bridgmanite) exists predominantly as NH4+. Nitrogen also is found in graphite and diamond where it occurs in elemental form. Nitrides are stable under extremely reducing conditions such as those that existed during early planetary formation processes and may still persist in the lower mantle. From experimentally determined nitrogen solubility in such materials, the silicate Earth is nitrogen undersaturated. The situation for the core is more uncertain, but reasonable Fe metal/silicate nitrogen partition coefficients (> 10) would yield nitrogen contents sufficient to account for the apparent nitrogen deficiency in the silicate Earth compared with other volatiles. Transport of nitrogen takes place in silicate melt (magma), water-rich fluids, and as a minor component in silicate minerals. In melts, the N solubility is greater for reduced nitrogen, whereas the opposite appears to be the case for N solubility in fluids. Reduced nitrogen species (NH3, NH2, and NH2+) dominate in most environments of the modern Earth’s interior except the upper ~ 100 km of subduction zones where N2 is the most important species. Nitrogen in magmatic liquids in the early Earth probably was dominated by NH3 and NH2, whereas in the modern Earth, the less reduced, NH2+ functional group is more common. N2 is common in magmatic liquids in subduction zones. Given the much lower solubility of N2 in magmatic liquids compared with other nitrogen species, nitrogen dissolved as N2 in subduction zone magmas is expected to be recycled and returned to the oceans and the atmosphere, whereas nitrogen in reduced form(s) likely would be transported to greater depths. This solubility difference, controlled primarily by variations in redox conditions, may be a factor resulting in increased nitrogen in the Earth’s mantle and decreasing abundance in its oceans and atmosphere during the Earth’s evolution. Such an abundance evolution has resulted in the decoupling of nitrogen distribution in the solid Earth and the hydrosphere and atmosphere.

Introduction

Nitrogen has been used as a tracer with which to connect surface reservoirs (atmosphere and the oceans) to the solid Earth. Adequate characterization of the nitrogen exchange within and between reservoirs relies, however, on knowledge of bulk nitrogen contents, nitrogen distribution among various reservoirs, and on nitrogen transport mechanisms within and between the reservoirs as a function of temperature, pressure, redox conditions, and composition of condensed and volatile components.

The bulk terrestrial nitrogen abundance is not well established in part because it depends on the precursor material of the Earth, in part because the nitrogen content of the Earth’s core is not well constrained, and in part because the nitrogen concentration in the various nitrogen reservoirs may vary over geologic time (Bebout et al. 2013; Johnson and Goldblatt 2015; Dalou et al. 2017). It has been suggested, for example, that the terrestrial abundance of nitrogen resembles that of chondrites or combinations of different chondritic materials (Fogel and Steele 2013; Dauphas 2017). With a single precursor component such as, for example, chondrite, its nitrogen content depends on processing of this material prior to formation of the Earth. Another possibility is that the Earth was formed with contributions from different embryos with different elemental and isotopic compositions some of which might also be parents of chondritic components (Dauphas 2017). Here, the embryos include major contributions from both carbonaceous and enstatite chondrite as well as other components including ordinary chondrite and a late veneer. The contributions occurred at different stages during Earth formation. Again, however, the nitrogen contents of the individual contributors are uncertain factors.

Nitrogen distribution among reservoirs reflects recycling mechanisms. A major contribution to nitrogen recycling is subduction zones (Goldblatt et al. 2009; Palya et al. 2011) where sediments comprising N-rich organic materials descend into the mantle. Redox conditions play a critical role in the descent process as oxygen fugacity governs the speciation of the nitrogen (Mysen and Fogel 2010). Redox conditions affect the initial recycling step, which is the breakdown of sedimentary organic materials. Redox conditions also govern subsequent nitrogen solubility in minerals, melts, and fluids because the solubility varies with nitrogen speciation. Some of the nitrogen in subducting materials is returned to the surface through devolatilization and nitrogen release. This occurs whenever conditions favor oxidized nitrogen (N2), which is not very soluble in magmatic liquids. However, nitrogen is not always oxidized. Under mildly reducing conditions, similar to those defined by the magnetite-wüstite (MW) to quartz-fayalite-magnetite (QFM) oxygen buffers, nitrogen can exist as various N–H complexes (Mysen et al. 2008), which can be significantly soluble in subduction zone silicate minerals (Honma and Itahara 1981; Watenphul et al. 2010) and silicate melt (magmatic liquids) (Mysen et al. 2008). Under such circumstances, nitrogen could be transported into the deep mantle. Therefore, there could be greater nitrogen input than output in the Earth, which accords with current observations (Sano et al. 2001; Mitchell et al. 2010; Busigny et al. 2011). Even when nitrogen output near mid-ocean ridges is taken into account, a large difference between nitrogen influx and outflux remains (Busigny et al. 2011). It follows that the nitrogen content of the Earth’s interior increased during Earth history while the nitrogen abundance of the oceans and atmosphere may have decreased. It also follows that with the redox-dependent nitrogen solubility in condensed and volatile components, nitrogen abundance (and isotopic compositions?) in the atmosphere, oceans, and crust is decoupled from nitrogen in the deep interior (mantle and core).

The factors that govern the nitrogen abundance and distribution in the Earth’s interior in time and space will be discussed in this review. To this end, observations of nitrogen abundance will be examined together with results from laboratory experiments relevant to nitrogen solubility and solution mechanisms in condensed (crystalline and molten materials) and volatile (C-O-H-N) fluids will be discussed. There will be particular emphasis on the consequences of redox-controlled nitrogen speciation as this may help understand the decoupling of terrestrial core and mantle versus crustal nitrogen reservoirs.

Review

The condensed Earth includes its crust, mantle, and core. Additional reservoirs are the oceans and the atmosphere. To address how nitrogen is distributed, current knowledge of nitrogen recycling and speciation within reservoirs will be summarized briefly first. This will be followed by a discussion of experimental data on nitrogen solubility and solution mechanisms necessary to characterize nitrogen transport behavior in molten silicate (magma).

Nitrogen cycle

The geological nitrogen cycle describes how nitrogen may be transported through the Earth’s interior either as a minor component in minerals or in solution in magmatic liquids and fluids. How nitrogen may be recycled and distributed is illustrated in Fig. 1 (simplified after Bebout et al. 2013). This scheme includes a biological and geological cycle. In the biological cycle, nitrogen is extracted from the atmosphere and used by nitrogen-fixing bacteria. Nitrogen controls both the amount and nature of biomass in aqueous and terrestrial environments (Fogel and Steele 2013). Nitrogen waste from these bacteria is released as NH4+, some of which is oxidized to nitrate and subsequently may be transformed to N2 and returned to the oceans and the atmosphere. Some nitrogen also remains as NH4+ initially dissolved in clay minerals and carbonates (Nieder and Benbi 2008, Chapter 1). This nitrogen joins the geological cycle. This cycle begins with sedimentation and diagenesis and ends with release of fluids and/or melting to yield felsic melts in the deep crust and perhaps uppermost mantle (see also Hall 1999, for discussion of nitrogen contents in granite as an indicator of their source material). The nitrogen dissolved in minerals in its reduced form, NH4+, can descend into the deeper mantle. The remainder is released as N2 gas, which is returned to the oceans and the atmosphere (Busigny and Bebout 2013; Li and Keppler 2014; Mallik et al. 2018). This release typically is associated with dehydration and melting of hydrous mineral assemblages in subduction zones, which occurs mostly at depths of about 100 km and shallower.

Fig. 1
figure1

Simplified schematic representation of integrated geologic and biologic recycling schemes of nitrogen in the Earth’s crust (modified from Bebout et al. 2013)

An interesting feature of calculated nitrogen transfer into and out of the Earth is that the input mass exceeds the output mass perhaps by a factor of as much as 2 or 3 (Table 1). Some nitrogen may return to the surface at or near ocean ridges, but the nitrogen output in those environments is insufficient to account for the difference. There are some variations in these numbers, but the general conclusion of a net nitrogen gain of the Earth’s interior over time appears real (Sano et al. 2001; Mitchell et al. 2010; Halama et al. 2014). This phenomenon may be related to the observation that mineral/melt (or fluid) NH4 partition coefficients are not greatly different from unity (Busigny and Bebout 2013). Therefore, even during melting or fluid release in the Earth’s mantle, some of the nitrogen brought to the deep mantle may not return to the Earth’s surface (see also Palya et al. 2011 and Busigny and Bebout 2013, for additional discussion of this).

Table 1 Terrestrial nitrogen reservoirs (modified after Goldblatt et al. 2009; Palya et al. 2011)

Nitrogen reservoirs

In terms of total mass, the main reservoir is the mantle (Table 1). However, the summary in Table 1 does not include the Earth’s core for which nitrogen estimates vary significantly (Dalou et al. 2017; Roskosz et al. 2013). Major uncertainties affecting assessment of the nitrogen abundance in the core are silicate/melt partition coefficients, the extent of pressure-dependent nitrogen partitioning between metal and silicate, and redox conditions during core separation. These variables are somewhat interdependent and are central factors governing nitrogen cycles in the Earth.

The agents for materials transfer within and between are silicate melts (magma) and sometimes COHN volatiles. Nitrogen and other volatiles would have been dissolved in the high-pressure silicate magma ocean of the early Earth in which the solubility of the volatile species likely greatly exceeded their abundance. This is because the solubility of volatiles in silicate melts, including nitrogen species, in the C-O-H-N system is on the order of several thousand ppm even at pressures corresponding to depths of a few kilometers. The solubility increases with increasing pressure (see Mysen and Richet 2019; Chapters 14–18, for detailed review of this information). A few thousand ppm is orders of magnitude greater than the content of these volatiles in the silicate Earth (Marty 2012; Halliday 2013; Armstrong et al. 2015).

Nitrogen in the crust

The oceanic sedimentary crust is dominated by shale, sandstone, and carbonate. Most of the nitrogen is found in sandstone (260 ± 10 ppm) and shale and silt with 860 ± 64 ppm nitrogen (Fig. 2; see also Johnson and Goldblatt 2015). In biogenic continental sediments, the nitrogen content averages at 1930 ± 1540 ppm. Sediments deposited in continental environments differ somewhat from oceanic materials both in their nature and nitrogen content. Clastic sediments from continental environments can be quite nitrogen-rich with an average abundance of 670 ± 56 ppm (Fig. 3).

Fig. 2
figure2

Distribution of nitrogen concentrations in various oceanic sedimentary rocks modified after Johnson and Goldblatt (2015)

Fig. 3
figure3

Distribution of nitrogen concentrations in various continental sedimentary rocks modified after Johnson and Goldblatt (2015)

Much of the nitrogen in crustal igneous rocks may be returned to the Earth’s interior in subduction zones. The nitrogen concentration in the igneous rocks varies widely. For example, granite formed by partial melting of biomass precursors typically is ammonium-rich with up to more than 100 ppm N held in mica and feldspar minerals, whereas granite formed by fractional crystallization or melting of mafic rocks is nitrogen poor with only several ppm N (Hall 1999). Other igneous rocks such as gabbro and tonalite contain on average 10 ppm or less N (Johnson and Goldblatt 2015).

The main influx of nitrogen to the Earth’s interior is from sediments in subduction zones (Busigny et al. 2011). Some nitrogen from the descending sediment column is released as N2 and returned to the oceans and the atmosphere. The proportion of nitrogen remaining in sedimentary and metamorphic rocks decreases with increasing depth (e.g., Plessen et al. 2010).

The extent to which release of N2 occurs instead of transport as NH4+ to greater depth in subduction zones depends on the thermal gradient and oxygen fugacity. Steep thermal gradients lead to N2 formation. Cold subduction zones lead to greater nitrogen loss (Bebout et al. 1999; Halama et al. 2014). Under oxidizing conditions such as those near the QFM-NNO range, which is typical for subduction zone magmatism (Carmichael and Ghiorso 1990), most of the nitrogen is released as N2. Under more reducing conditions, the nitrogen remains as NH4+ and descends into the deep mantle. Ammonia and derivative functional groups in this latter environment are retained in clay minerals, micas (phlogopite and phengite), and feldspars (Hall 1999; Elkins et al. 2006; Watenphul et al. 2009; Mitchell et al. 2010; Plessen et al. 2010; Palya et al. 2011; Yoshioka et al. 2018).

The metamorphic processes operating during subduction of sediments likely would lead to a gradual decrease with depth of bulk nitrogen content of subduction zone materials (increasing metamorphic grade). This effect has been seen, for example, in older exposed metamorphic terranes (Plessen et al. 2010; Busigny and Bebout 2013). It is particularly evident in the rapid loss of nitrogen from mica minerals, which are the primary carriers of nitrogen (Fig. 4). In addition, as subducting crust descends deeper into the mantle, a number of N-bearing phases can be stable with hollandite (a high-pressure K-feldspar analogue) as the highest-pressure N-bearing mineral (Watenphul et al. 2009).

Fig. 4
figure4

Nitrogen content of bulk rock and of its biotite in metamorphic rocks from Western Maine (USA) as a function of temperature (metamorphic grade) (data from Plessen et al. 2010)

Nitrogen in the mantle

The difference in nitrogen input and output (Table 1) may imply that nitrogen stored in the mantle and perhaps the core of the Earth may have increased through the Earth’s history. The nitrogen abundance in the modern mantle commonly is considered near 1 ppm (Fig. 5).

Fig. 5
figure5

Distribution of nitrogen concentrations in mantle rocks modified after Johnson and Goldblatt (2015)

Nitrogen solubility as high as near 25 ppm in forsterite, pyroxene, and garnet have been reported in an experimental study in the 1.5–3.0 GPa range with the oxygen fugacity controlled at those of the NNO and IW buffer (Li et al. 2013). From least squares fitting to all the data obtained, Li et al. (2013) derived the following expressions for solubility;

$$ \mathrm{forsterite}:{\mathrm{logC}}_{\mathrm{N}}=2.15-6.8\bullet {10}^3/\mathrm{T}\left(\mathrm{K}\right)+0.0027\mathrm{P}\ \left(\mathrm{GPa}\right)-0.43\Delta \mathrm{NNO}, $$
(1)

and

$$ \mathrm{pyroxene}\ \mathrm{and}\ \mathrm{garnet}:{\mathrm{logC}}_{\mathrm{N}}=6.48-8.7\bullet {10}^3/\mathrm{T}\left(\mathrm{K}\right)+0.00086\mathrm{P}\ \left(\mathrm{GPa}\right)-0.122\Delta \mathrm{NNO}, $$
(2)

where ∆NNO is the oxygen fugacity difference from that of the nickel/nickel oxide oxygen buffer [∆NNO = log fO2-logfO2(NNO)]. Partition coefficients among upper mantle minerals are summarized in Table 2.

The nitrogen solubility in garnet is the highest among upper mantle silicate minerals (olivine, pyroxenes, and garnet). Olivine dissolves the least nitrogen with about 2–3 ppm at the oxygen fugacity controlled by the Fe-FeO buffer (IW) (Fig. 6). The nitrogen solubility in these upper mantle minerals is, therefore, higher than the suggested upper mantle nitrogen concentration (≤ 1 ppm N). This means that the upper mantle is undersaturated with respect to nitrogen. Redox conditions are important, however, so that the more reducing the environment, the greater is the nitrogen solubility (Yoshioka et al. 2018). The NH4+ solubility can also depend on solid solutions. For example, there is a positive correlation between nitrogen content of enstatite and its Al2O3 concentration (Fig. 7).

Fig. 6
figure6

Summary of nitrogen solubility of forsterite at different oxygen fugacities indicated and fixed temperature and pressure (modified from Li et al. 2013)

Fig. 7
figure7

Nitrogen solubility in enstatite as a function of its Al2O3 content at fixed temperature, pressure, and oxygen fugacity as indicated on the figure (modified from Li et al. 2013)

The highest nitrogen content in upper mantle minerals is found in diamonds (Smith and Kopylova 2014) with an average N concentration of 235 ppm in diamonds from the lithosphere (≤ 200 km crystallization depth). This region also yields the smallest proportion of the nitrogen-poor type II (low nitrogen) diamonds. At greater depth, down to the transition zone near 410 km, the nitrogen concentration is less. The average nitrogen content of diamonds from the lower mantle is 17 ppm and the proportion of N-poor Type II diamonds is increased. It has been suggested that the differences between these latter diamonds and the upper mantle diamonds formed in the lithosphere reflect different redox conditions during diamond growth. The mantle appears to become increasingly reducing with depth (McCammon 2005). However, under such reducing conditions, nitrogen incorporation in diamond is lower than when oxidizing because there may be competition between solution of nitrogen in diamond and metallic Fe to form iron nitrides (Miyazaki et al. 2004; Zhang and Yin 2012). In laboratory experiments at high pressure and temperature, Polyanov et al. (2014) observed an order of magnitude higher nitrogen content in diamonds grown in equilibrium with carbonate melt compared with diamond grown in contact with metallic iron. The highest nitrogen contents recorded are from microdiamonds from the high-pressure metamorphic terrane of the Kokchetav massif in Kazakhstan where nearly 4500 ppm N in diamonds has been reported (De Corte et al. 1998).

Table 2 Nitrogen partition coefficients

The abundance of nitrogen in the transition zone of the Earth’s mantle (410–670 km depth) and below (> 670 km depth) is not easily determined, but has been suggested to be around 5 ppm (Marty 2012). The nitrogen solubility in the silicate phases in the pressure range corresponding to this depth is, however, considerably greater than such a value. For example, the nitrogen solubility in wadsleyite [a high-pressure polymorph of (Fe,Mg)2SiO4] exceeds 50 ppm at pressures corresponding to the top of the transition zone (near 410 km–15 GPa) and increases with increasing pressure (Fig. 8; see also Yoshioka et al. 2018). The nitrogen partition coefficients between wadsleyite and the other major lower mantle silicate phases (ringwoodite and bridgmanite) are between 2 and about 8 (Table 3), which means that all of the lower mantle silicates could accommodate several tens of ppm N. Based on this information, the Earth’s lower mantle is undersaturated with respect to nitrogen (Yoshioka et al. 2018).

Fig. 8
figure8

Nitrogen solubility in wadsleyite [(Fe,Mg)2SiO4] as a function of pressure (modified after Yoshioka et al. 2018)

Table 3 Nitrogen partition coefficients among lower mantle silicate phases (data from Yoshioka et al. 2018)

The discussion in the previous paragraph does not consider inclusions in diamond. Iron nitrides, Fe3N and Fe2N, have been reported as inclusions in diamonds from the lower mantle (Kaminsky and Wirth 2017). Among these inclusions, there appear to be complete solid solutions across from carbides to nitrides (Fig. 9). Such observations accord with experimental data, which indicate that (Fe,Ni) nitrides are stable under lower mantle temperature and pressure conditions (Adler and Williams 2005). Finally, there is also nitrogen in lower mantle diamonds with an average concentration of 17 ppm. This nitrogen abundance information lends further support to the conclusion that the lower mantle is undersaturated in nitrogen.

Fig. 9
figure9

Mineral phases in the system C-N-(Fe, Ni, Co, Cr) found as inclusions in lower mantle diamonds (data from Kaminsky and Wirth 2017)

Nitrogen in the Earth’s core

Nitrogen is one of the light elements proposed for the Earth’s core (Halliday 2013; Dalou et al. 2017; Grewal et al. 2019). Nitrogen also is an attractive core component because such a core might contain the so-called missing nitrogen of the silicate Earth (Fig. 10). Iron nitrides are possible candidates for the Earth’s core (Adler and Williams 2005; Litasov et al. 2017).

Fig. 10
figure10

Chondrite-normalized noble gas, carbon, and nitrogen content of the silicate earth (modified from Marty 2012)

Whether or not nitrogen could be a component of the Earth’s core depends on the variables that could govern its nitrogen content. The nitrogen abundance values are strongly dependent on silicate/metal partition coefficients (Roskosz et al. 2013; Dalou et al. 2017), which, in turn, are sensitive to temperature, pressure, redox conditions, core, and silicate composition. For example, Dalou et al. (2017) observed experimentally that metal/silicate partition coefficients vary by about 1.5 orders of magnitude (Fig. 11) within the 3–4 orders of magnitude oxygen fugacity range suggested to exist during formation of the Earth’s core (Li and Agee 1996; Wade and Wood 2005; Rubie et al. 2011). A metal/silicate partition coefficient for nitrogen above 10 appears needed in order to account for the N deficiency illustrated in Fig. 10 with the assumption of an early Earth nitrogen content near 30 ppm (Marty 2012). An oxygen fugacity about an order of magnitude more reducing than that of the iron-wüstite oxygen buffer would be necessary for metal/silicate partition coefficients to be in this range. However, Roskosz et al. (2013) observed that the nitrogen content of iron and iron-nickel alloys equilibrated with silicate increases significantly with increasing pressure and also is somewhat sensitive to nickel content (Fig. 12). This feature, in turn, would affect the oxygen fugacity necessary to obtain the appropriate metal/silicate partition coefficients.

Fig. 11
figure11

Fe-rich metal/silicate nitrogen partition coefficient, KD(N), as a function of oxygen fugacity expressed relative to the oxygen fugacity of the iron-wüstite (IW) buffer expressed as base10 log (data from Dalou et al. 2017)

Fig. 12
figure12

Nitrogen solubility in Fe-rich (Fe,Ni) metal as a function of pressure (a) and Ni content (b) (data from Roskosz et al. 2013)

Roskosz et al. (2013) estimated the nitrogen content of the core by using the expression;

$$ {C}_{\mathrm{Si}\ \mathrm{earth}}={C}_{\mathrm{protoearth}}/\left[1+{M}_{\mathrm{core}}/{M}_{\mathrm{Si}\ \mathrm{earth}}\left({K_{\mathrm{D}}}^{\mathrm{metal}/\mathrm{silicate}}\left(\mathrm{N}\right)-1\right)\right], $$
(3)

where KDmetal/silicate (N) is the metal/silicate partition coefficient, CSi earth and Cprotoearth are the nitrogen contents of the silicate earth and proto-Earth, and Mcore and MSi earth are the masses of the core and the silicate Earth. They assumed a proto-Earth comprising 2% carbonaceous chondrite material with 1500 ppm N. A partition coefficient near 20 would be needed to reach a nitrogen content of the silicate earth near 1–4 ppm and remove the nitrogen deficiency indicated in Fig. 12. However, the nitrogen content of the precursor material or materials is quite uncertain and depends on thermal history of the precursor materials prior to aggregation of the Earth (Cody et al. 2008) as well as proportions of several different precursor materials that may have contributed the proto-Earth over a period of time (Dauphas 2017).

The nitrogen abundance depends on the extent of processing undergone by a presumed starting material prior to accumulation to form the proto-Earth because of the nitrogen loss likely during such processes (Fig. 13; see also Alexander et al. 2007; Bergin et al. 2015). It is not well known, therefore, what KDmetal/silicate (N) values would be necessary to account for the nitrogen deficiency in the silicate Earth. In the Dauphas (2017) model, four precursor materials (carbonaceous chondrite, enstatite chondrite, ordinary chondrite, and late veneer) contributed to the overall composition. The nitrogen content of the resulting Earth clearly would be strongly dependent on the proportions of the contributing precursor materials.

Fig. 13
figure13

Relationship between N/C atomic ratios of carbonaceous chondrites and the maximum temperature experienced (temperature of processing) (data from Alexander et al. 2007; Cody et al. 2008)

Nitrogen transport

Evolution of the terrestrial nitrogen reservoirs following their original composition and volume in the proto-Earth was accomplished by mass transfer with magma (silicate melt) and fluids in the C-O-H-N systems. Characterization of these processes rely on understanding nitrogen solubility, solution mechanisms, and nitrogen partitioning between coexisting minerals, melts, and fluids.

Solubility and solution mechanisms

The nitrogen solubility and speciation in magmatic melts and aqueous fluids are sensitive functions of redox conditions, temperature, pressure, silicate, and fluid composition. These variables will, therefore, affect the distribution of nitrogen in the Earth. For example, redox conditions are important because N2 is incompatible in silicate minerals, whereas reduced nitrogen is compatible (Bebout et al. 2013). In this latter case, during melting and fluid release in the mantle, some nitrogen will, therefore, remain in crystalline mantle. This feature together with oxygen fugacity variations are key factors controlling temporal changes in mantle (and core?) nitrogen content.

Oxidizing conditions

Oxidizing conditions are defined as an fO2 near that of the QFM oxygen buffer and above. Nitrogen in fluids and melts exists principally as molecular N2 under oxidizing conditions (Mysen et al. 2014; Li et al. 2015).

The solubility of N2 in aqueous fluids at high temperature and pressure has not been studied extensively. However, fluid/melt partition coefficients for N2 ranges between 1.5 and 3 in the 500–800 °C temperature range (Fig. 14). The experimental results in Fig. 14 were recorded over a 0.1–1.5 GPa pressure range. There is a pressure range associated with this temperature range because in the diamond cell experiments used in those experiments, pressure is positively correlated with temperature (see also Bassett et al. 1994; for details of experimental procedures). At lower pressures, the partition coefficient increases and reaches values of several hundred in the 0.1–0.2 GPa range (Li et al. 2015). The N2 solubility in fluids is, therefore, considerably greater than in magmatic liquids (silicate melt).

Fig. 14
figure14

Fluid/melt partition coefficients at oxidizing and reducing conditions as a function of temperature (data from Mysen et al. 2014)

The N2 solubility commonly follows Henry’s Law with a Henry’s Law constant near 5•10−9 mol g−1 bar−1 (Javoy and Pineau 1991; Libourel et al. 2003; Roskosz et al. 2006). Some variations in the Henry’s Law constant may be ascribed to compositional dependence of the N2 solubility similar to the behavior of noble gases in silicate melts. These variables include extent of silicate polymerization (which is mostly linked to Si + Al contents), aluminum substitution of silicon, and the electronic properties and proportions of network-modifying cations (alkali metals and alkaline earths).

The N2 solubility increases as the concentration of three-dimensional cavities in the silicate structure increases, which is similar to the solubility behavior of noble gases (Carroll and Draper 1994; Zhang et al. 2010). The more polymerized a melt, the greater the concentration of three-dimensional cavities and, therefore, the greater the N2 solubility. The cavity abundance, in turn, is positively correlated with Si + Al concentration of melts. Moreover, the cavity size likely varies with the types of alkali and alkaline earth cation or cations in the structure (LeLosq et al. 2015) where larger cations favor larger cavities. Larger cavities would enhance the solubility of gas molecules and atoms (Zhang et al. 2010). The increase in N2 solubility in a silicate melt as the radius of the network-modifier cation increases is also consistent with this model (Roskosz et al. 2006). The N2 solubility in silicate melts falls on the line defining solubility of noble gases as a function of their atomic radius (Carroll and Draper 1994; see also Fig. 15) thus suggesting similar solution behavior of noble gases and molecular N2. The positive correlation between the extent of polymerization of silicate melts and nitrogen and noble gas solubility (Miyazaki et al. 1995; Roskosz et al. 2006) is consistent with this solubility model.

Fig. 15
figure15

Nitrogen solubility in basalt melt at ambient pressure shown together with solubility of noble metals as a function of their atomic/molecular radius (data from Carroll and Draper 1994; Roskosz et al. 2006)

There are, however, conditions under which additional nitrogen solution mechanism(s) may operate even under oxidizing conditions. Roskosz et al. (2006) found that when the silicate melt structure becomes sufficiently depolymerized, perhaps similar to the structure of basalt melt at or near ambient pressure, the nitrogen solubility does not follow Henry’s Law (Fig. 16). Furthermore, they observed that those deviations become less prevalent with increasing pressure, and more prevalent the more electronegative the network-modifier cations. Both variables probably lead to shrinkage and deformation of the cavity volumes in which N2 is dissolved. This likely explains the deviations from Henry’s Law behavior illustrated in Fig. 16.

Fig. 16
figure16

Solubility of nitrogen under oxidizing conditions in Na2O•2SiO2 and Na2O•4SiO2 melt as a function of pressure. Also shown is the portion of nitrogen that formed nitrosyl groups in Na2O•2SiO2 melts (data from Roskosz et al. 2006)

When the solubility deviates from Henry’s Law behavior, data from 15N magic angle spinning nuclear magnetic resonance (MAS NMR) of the melts indicate that nitrogen is dissolved as nitrosyl groups (Roskosz et al. 2006). Solution of this species in silicate glasses and melts may be expressed as (Mysen and Richet 2019; chapter 16);

$$ 12{\mathrm{Q}}^{\mathrm{n}}\left(\mathrm{M}\right)+{3\mathrm{O}}_2+{2\mathrm{N}}_2\iff {2\mathrm{Q}}^{\mathrm{n}-1}\left(\mathrm{N}\right)+{6\mathrm{Q}}^{\mathrm{n}-1}\left(\mathrm{M}\right). $$
(4)

where Qn(M) and Qn-1(M) represent silicate structures in which metal cations, M, are network-modifiers. The Qn-1(N)-species is a structural entity where nitrogen as N3+ is a network-modifying cation in the form of a nitrosyl group in replacement of a metal cation. In other words, formation of nitrosyl groups in a silicate melt and glass results in silicate depolymerization. This contrasts with solution of simple N2 molecules, which does not affect silicate melt polymerization. This is an example, therefore, illustrating how solution of volatiles not only depends on melt composition (and structure), but affects the silicate structure itself.

Reducing conditions

The fluid/melt partition coefficient for reduced nitrogen is temperature-dependent just as it is N2 (Fig. 14). The temperature-dependence results in a ∆H-value of − 5.9 ± 0.9 kJ/mol under the assumption of no pressure-dependence in the 0.6–1.4 GPa pressure range of those experiments (Mysen 2018a). This ∆H-value is significantly less than in the case of molecular N2 with its enthalpy value at − 20 ± 4 kJ/mol (Mysen 2018b) suggesting, perhaps, greater structural similarity between reduced nitrogen species in fluids and melts than is the case for molecular N2.

The nitrogen solubility in hydrogen-free silicate melt at or near ambient pressure, be they chemically complex natural magmatic liquids or chemically simpler silicate melts, is insensitive to oxygen fugacity at least from oxidizing conditions until redox conditions near those defined by the IW oxygen buffer (2Fe + O2 2FeO) are reached (near 10−10 MPa at the experimental temperature of 1425 °C of the experiments in Fig. 18; see Libourel et al. 2003; Miyazaki et al. 2004). With a further fO2 decrease, the nitrogen solubility increases rapidly (Fig. 17). These are conditions that may have existed during formation of chondrite, during proto-Earth formation, and early terrestrial evolution (Wade and Wood 2005; Cody et al. 2008).

Fig. 17
figure17

Nitrogen solubility in basalt melt as a function of oxygen fugacity at ambient pressure and high temperature (data from Libourel et al. 2003)

Under conditions more reducing than that defined by the IW oxygen buffer, absent hydrogen, nitrogen likely forms nitride complexes, either with Fe or with nitrogen replacing oxygen in silicate structures to create oxynitride complexes, or both. Oxynitride formation can be expressed as a redox-driven reaction that involves changes in silicate melt polymerization;

$$ {\mathrm{Q}}^{\mathrm{n}}\left(\mathrm{M}\right)+{\mathrm{N}}_2\iff {{\mathrm{Q}}^{\mathrm{n}-2}}_{\mathrm{N}}\left(\mathrm{M}\right). $$
(5)

In this expression, the Qn-2N(M) is an oxynitride complex. Its silicate structure is more depolymerized than Qn(M) (Mysen and Richet 2019; chapter 16), so this nitrogen solution mechanism is a depolymerization mechanism. That behavior contrasts with nitride formed by bonding with metal to create metal nitride complexes. In such a case, metal cations are extracted from their network-modifying role, thus resulting in silicate polymerization;

$$ 1/{2\mathrm{xN}}_2+{\mathrm{y}\mathrm{Q}}^{\mathrm{n}-1}\iff {\mathrm{M}}_{\mathrm{y}}{\mathrm{N}}_{\mathrm{x}}+{\mathrm{y}\mathrm{Q}}^{\mathrm{n}}, $$
(6)

where Qn-1 and Qn are silicate species and MyNx is a metal nitride complex.

The nitrogen solubility in hydrogen-bearing silicate melt-NOH and melt-COHN systems, whether under reducing and oxidizing conditions (Mysen et al. 2008; Mysen and Fogel 2010; Kadik et al. 2015) increases with increasing pressure (Fig. 18), but is greater under reducing conditions. When conditions are more reducing than those defined by the IW buffer, the nitrogen solubility does, though, continue to increase with increasing hydrogen fugacity (decreasing oxygen fugacity) (Kadik et al. 2011, 2013, 2015; see also Fig. 18) similar to that observed at ambient pressure in the absence of hydrogen (Fig. 17).

Fig. 18
figure18

Nitrogen solubility in alkali aluminosilicate melts as a function of pressure at different oxygen buffers. a At oxygen fugacity above that of the IW buffer (data from Mysen et al. 2008). b Data at oxygen fugacity below that of the IW buffer (data from Kadik et al. 2011, 2013, 2015)

Decreasing oxygen fugacity results in a gradual decrease in the abundance ratio between molecular nitrogen, N2, and more reduced N-bearing species, ΣNHn (Mysen et al. 2008; Li and Keppler 2014). There are several H-bearing reduced N-species. Their types and proportions depend on hydrogen fugacity (Fig. 19). Under reducing conditions such as those defined by the iron-wüstite buffer (IW), the N-bearing species in melts and fluids are almost exclusively ammine groups, NH2 and molecular NH3 (Mysen et al. 2014), whereas under intermediate redox conditions, illustrated with the magnetite-wüstite (MW) buffer in Fig. 19, molecular N2 is more abundant and the reduced nitrogen species is in the form of an amide group, NH2+.

Fig. 19
figure19

Raman spectra of quenched silicate melts as a function of the hydrogen fugacity at which they equilibrated at 2.5 GP and 1400 °C (modified after Mysen and Fogel 2010)

The simple equilibrium,

$$ 2{\left({\mathrm{SiO}}_3{\mathrm{NH}}_2\right)}^{4-}+{\mathrm{H}}_2={{\mathrm{SiO}}_4}^{4-}+{2\mathrm{NH}}_3, $$
(7)

describes the relationship between coexisting molecular ammonia and ammine groups in melts and coexisting COHN fluids (Fig. 20). In this expression, the (SiO3NH2)4− group represents an SiO44− tetrahedron with one of the oxygens replaced by the NH2 group (Mysen et al. 2014). Here, the NH2/NH3 abundance ratio decreases as a melt becomes more polymerized and as the temperature increases (Fig. 21). In other words, as a melt becomes more polymerized and, therefore, silicate-rich, the activity of oxygen increases. The abundance of NH2 groups, formed by exchange with oxygen in the silicate network, also increases. The solubility of NH2 likely is greater than molecular NH3 species. Therefore, the bulk composition of magma affects nitrogen transport capacity. A similar relationship exists for coexisting fluid, but in this case, the NH2/NH3 abundance ratio is more sensitive to temperature (∆H = 61 ± 9 kJ/mol) than is the case for melts (∆H = 19 ± 8 kJ/mol). It is possible that this difference reflects the increasing pressure with increasing temperature during the experiments summarized in Fig. 21 (see Mysen et al. 2014). Increasing pressure increases the silicate solubility in the fluids. Given that the NH2 groups form bonding with Si4+ in silicate tetrahedra, it is indeed possible that this is the reason for the apparent greater ∆H-value from the fluid experiments.

Fig. 20
figure20

NH3 /NH2 abundance ratio as a function of Temperature (1/T, kelvin) in sodium silicate melts (data from Mysen and Fogel 2010)

Fig. 21
figure21

Evolution of NH2/NH3 abundance ratio in melts as a function of degree of silicate polymerization, NBO/Si (data from Mysen and Fogel 2010)

Conclusions

The oxygen fugacity is the most important factor affecting nitrogen abundance and distribution in the Earth because nitrogen speciation depends on fO2 in the oxygen fugacity range of the Earth’s interior. The different nitrogen species, in turn, exhibit significantly different solubility behavior and partitioning behavior among minerals, melts, and fluids. These features need attention when the role of nitrogen in Earth formation and evolution is under consideration.

As an example, during the earliest stages of the Earth’s formation, the redox conditions likely were 1–3 orders of magnitude below that of the iron-wüstite buffer (O'Neill 1991; Righter and Drake 1999; Gessmann and Rubie 2000; Wade and Wood 2005). Under such conditions, NH3, CH4, H2O, and H2 are the dominant species in the C-O-H-N system (Mysen et al. 2008; Kadik et al. 2015). Nitrogen in the form of ammine groups, NH2, in equilibrium with NH3 replaces one or more of the oxygens in silicate tetrahedra. An equilibrium between the nitrogen species and the silicate structure in its simplest form in principle can be written as follows:

$$ {\mathrm{Si}}_2{{\mathrm{O}}_7}^{6-}+{\mathrm{NH}}_3\iff {\mathrm{Si}\mathrm{O}}_3{\left(\mathrm{OH}\right)}^{3-}+{\mathrm{Si}\mathrm{O}}_3{\left({\mathrm{NH}}_2\right)}^{3-}. $$
(8)

The oxygen fugacity conditions commonly considered for the interior of the modern Earth, which are between those of the QFM and IW oxygen buffer (Carmichael and Ghiorso 1990; Wade and Wood 2005; McCammon 2005), are several orders of magnitude more oxidizing than those existing during the Earth’s early formation. It follows that the solubility mechanism of nitrogen in magmatic processes in the interior of the modern Earth probably can be described with equilibria such as (Mysen et al. 2008);

$$ {{\mathrm{SiO}}_4}^{4-}\dots {{\mathrm{NH}}_2}^{+}+{\mathrm{H}}_2\iff {{\mathrm{SiO}}_4}^{4-}\dots {\mathrm{H}}^{+}+{\mathrm{NH}}_3. $$
(9)

In this expression, the NH2+ and H+ are linked to nonbridging oxygen in the silicate tetrahedra and serve, therefore, as network-modifiers.

The structural role of NH2 groups in Eq. (8) differs, therefore, from the behavior of NH2+ groups in expression (9). In Eq. (8), an Si-O-Si bridge is cleaved and the oxygen formerly forming a bridge is replaced by an OH group and an NH2 group. In Eq. (9), which describes moderately reducing conditions, replacement of a network-modifying cation with NH2+ as a modifier has no effect on the overall degree of polymerization of the silicate.

Under redox conditions more oxidizing that those defined approximately by the QFM buffer, the principal nitrogen species is molecular N2. In this form, nitrogen in fluids and melts are the same:

$$ {\mathrm{N}}_2\left(\mathrm{fluid}\right)\iff {\mathrm{N}}_2\left(\mathrm{melt}\right). $$
(10)

Expressions (8)–(10) illustrate mechanisms of nitrogen solubility and solution mechanisms in most magmatic environments in planetary interiors, be they modern or primordial. The nitrogen solubility in magma depends significantly on which of those solution mechanisms dominate.

The effect of solution mechanisms on nitrogen solubility, governed primarily by fo2, is well illustrated by the behavior of nitrogen in subduction zones in which the oxygen fugacity ranges from oxidizing to quite reducing. Subduction zones are major venues for nitrogen flux into and out of the Earth (Busigny et al. 2011) with oxygen fugacity during nitrogen release a major factor determining the fate of nitrogen (Li and Keppler 2014; Mallik et al. 2018). Under oxidizing conditions such as those defined by the QFM buffer and above [Eq. (10)], which is common in the upper 100 km of subduction zones (Carmichael and Ghiorso 1990), N2 is a principal nitrogen species. Nitrogen dissolved as N2 in subduction zone magmas likely is recycled and returned to the oceans and the atmosphere because molecular N2 is incompatible in silicate melts and minerals and is released, therefore, to a fluid phase, which ascends to the surface. Under more reducing conditions such as those of the MW buffer and below [Eq. (8) and (9)], nitrogen exists in reduced form where it dissolves in minerals as described above (mica, feldspar, garnet, pyroxene and shallow depth, and wadsleyite and bridgmanite at greater depth). This nitrogen descends into the lithosphere and below likely will not be released back into the oceans and the atmosphere. The different solubility behavior of oxidized (N2) and reduced (NH3, NH2+, NH2) nitrogen in mantle melts and minerals in the Earth’s interior would lead to an increase in mantle nitrogen through Earth history and a decrease in nitrogen abundance in its oceans and atmosphere. Because the Earth’s interior is undersaturated with respect to nitrogen (e.g., Yoshioka et al. 2018), this nitrogen is not returned to the Earth’s surface even during melting or fluid release because of the compatible nature of reduced nitrogen in silicate minerals at high temperature and pressure (Busigny et al. 2011). This is why nitrogen at or near the Earth’s surface cannot be used to characterize the behavior of nitrogen and its isotopes in the deep interior of the Earth.

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Acknowledgments

Instrument, electronics, and library support was provided by Geophysical Laboratory technical staff. The manuscript also was reviewed by Dionysis Foustoukos and two external reviewers.

Funding

The research in this review was supported by endowment funds from the Carnegie Institution of Washington, and grants EAR-1212754 and EAR-1250449 from the National Science Foundation.

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Correspondence to Bjorn Mysen.

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Mysen, B. Nitrogen in the Earth: abundance and transport. Prog Earth Planet Sci 6, 38 (2019) doi:10.1186/s40645-019-0286-x

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Keywords

  • Nitrogen
  • Recycling
  • Redox
  • Speciation
  • Solubility