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Supplementary Information
Organic complexation of trace metals in hydrothermal fluids, by Sander
SG, and Koschinsky A.
Index: page
SI 1 Description of the geochemical modeling procedures 2
SI Table 1 Composition of seawater and hydrothermal fluid 7
endmembers, as used for the modeling
SI Table 2 Results of modeling the Cu fluxes during mixing of hydrothermal 8
endmember
a) Rainbow, and 8
b) Turtle Pits with seawater 9
SI Figure 1 Graphic presentation of excerpts of the modeling results, 10
showing changes of temperature, redox potential, pH, dissolved Cu
concentrations, and mineral formation during mixing of 1 kg
hydrothermal fluid (Turtle Pits) with up to 1000 kg of seawater.
SI 2 Calculation of Cu and Fe fluxes from hydrothermal sources 11
SI References 12
Metal flux from hydrothermal vents increased by organic complexation
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SI 1. Description of the geochemical modeling procedures
Geochemical speciation and reaction path modeling with the REACT sub-program of
Geochemists Workbench (GWB) Standard version 8.0 (Bethke, 2008) was used to model the
effects of organic Cu and Fe binding ligands in both hydrothermal fluid and seawater. For
this purpose, an existing thermodynamic database had to be adjusted in order to include
organic metal complexes of relevance. We modified the thermodynamic database thermo.dat
(GWB) as it includes the largest number of inorganic metal species and minerals over the
temperature range 0-300°C, while the other data bases are much too restricted with respect to
aqueous species and minerals of Cu, Fe, and other metals that are of relevance in
hydrothermal fluids. We defined two new ‘elements’, one for the organic hydrothermal
ligand (Lhy) and one for the organic seawater ligand (Lsw). The respective charged ligands
were defined as ‘basis species’ and the complexes with Cu or Fe where added to the ‘aqueous
species’.
The dissociation constants for the Cu’-Lhy and the Cu’-Lsw complex were chosen to be 10-14
as a typical value for natural complexes found in hydrothermal systems (Sander et al., 2007;
Cu’ represents some of inorganic Cu species) and seawater (e.g. Leal and van den Berg,
1998, Moffett and Dupont, 2007). Both Cu’Lsw and Cu’Lhy stability constants have been
measured by voltammetry (e.g. Sander et al., 2007; Moffett and Dupont, 2007, Leal and van
den Berg, 1998,) at room temperature after equilibration for a minimum of 8 hours. This
setup does not allow to distinguish the valence of Cu in strong organic complexes at these
concentrations, however, while Cu(I) should be the dominant redox form in reducing
hydrothermal fluids, it is Cu(II) in oxic seawater. It has been shown that Cu(I) forms strong
complexes with thiols such as glutathione (Leal and van den Berg, 1998 and Laglera and van
den Berg, 2003). Moffett and Dupont (2007) also discussed the possibility that thiol
complexes in natural seawater and specifically at depth could in fact form strong Cu(I) and
Cu(II) complexes. We therefore chose to allow hydrothermal Cu complexes of both oxidation
states.
Realistic concentrations of both Cu organic ligands were also derived from literature as being
10 nM for deep-sea water and 1 μM for the hydrothermal fluid. The latter value is
extrapolated from concentrations found in two high-temperature samples and a larger number
of low temperature hydrothermal samples published in Sander et al. (2007) and own
unpublished data. Samples with a relatively high ratio of hydrothermal fluid to seawater had
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SI 1. Description of the geochemical modeling procedures
Geochemical speciation and reaction path modeling with the REACT sub-program of
Geochemists Workbench (GWB) Standard version 8.0 (Bethke, 2008) was used to model the
effects of organic Cu and Fe binding ligands in both hydrothermal fluid and seawater. For
this purpose, an existing thermodynamic database had to be adjusted in order to include
organic metal complexes of relevance. We modified the thermodynamic database thermo.dat
(GWB) as it includes the largest number of inorganic metal species and minerals over the
temperature range 0-300°C, while the other data bases are much too restricted with respect to
aqueous species and minerals of Cu, Fe, and other metals that are of relevance in
hydrothermal fluids. We defined two new ‘elements’, one for the organic hydrothermal
ligand (Lhy) and one for the organic seawater ligand (Lsw). The respective charged ligands
were defined as ‘basis species’ and the complexes with Cu or Fe where added to the ‘aqueous
species’.
The dissociation constants for the Cu’-Lhy and the Cu’-Lsw complex were chosen to be 10-14
as a typical value for natural complexes found in hydrothermal systems (Sander et al., 2007;
Cu’ represents some of inorganic Cu species) and seawater (e.g. Leal and van den Berg,
1998, Moffett and Dupont, 2007). Both Cu’Lsw and Cu’Lhy stability constants have been
measured by voltammetry (e.g. Sander et al., 2007; Moffett and Dupont, 2007, Leal and van
den Berg, 1998,) at room temperature after equilibration for a minimum of 8 hours. This
setup does not allow to distinguish the valence of Cu in strong organic complexes at these
concentrations, however, while Cu(I) should be the dominant redox form in reducing
hydrothermal fluids, it is Cu(II) in oxic seawater. It has been shown that Cu(I) forms strong
complexes with thiols such as glutathione (Leal and van den Berg, 1998 and Laglera and van
den Berg, 2003). Moffett and Dupont (2007) also discussed the possibility that thiol
complexes in natural seawater and specifically at depth could in fact form strong Cu(I) and
Cu(II) complexes. We therefore chose to allow hydrothermal Cu complexes of both oxidation
states.
Realistic concentrations of both Cu organic ligands were also derived from literature as being
10 nM for deep-sea water and 1 μM for the hydrothermal fluid. The latter value is
extrapolated from concentrations found in two high-temperature samples and a larger number
of low temperature hydrothermal samples published in Sander et al. (2007) and own
unpublished data. Samples with a relatively high ratio of hydrothermal fluid to seawater had
3
582 nM Lhy in 69% fluid at 294°C from Brother volcano (Sander et al., 2007) and 483 nM
Lhy in 54% fluid at 186°C from Red Lion (unpublished data cruise, M68/1, see cruise report
http://www.ifm-geomar.de/fileadmin/ifm-
geomar/fb4/fb4_fe2/spetersen/SPP_M68_1_cruise_report.pdf). Both values represent real
organic ligands after removal of acid volatile sulfides (AVS). Unfortunately, no more
measured data for organic ligand concentrations from hot and largely undiluted hydrothermal
fluids are available. In our attempts to measure Cu-binding ligand concentrations from hot
fluids of the Turtle Pits and the neighboring Red Lion vent, and from the hot vents of the
Nibelungen field (see cruise report M68/1, as above), precipitation in the voltammetric vessel
(due to the extremely high metal concentrations) prohibited a precise measurement in most
cases, and for several other samples Cu concentrations were higher than the ligand
concentrations. As the method measures the ligands in excess of the Cu concentrations,
ligand concentrations could not be determined in these samples. Only in one fluid sampled at
186°C from a chimney in the Red Lion field a ligand concentration of 483 nM (see above)
could be determined. All other successful measurements relate to more diluted or diffuse
fluids sampled at temperatures below 20°C. However, as they also reached ligand
concentrations >1 µM, similar to those found before (Sander et al., 2007), we consider a Cu-
binding hydrothermal ligand concentration of 1-10 µM a realistic range for our modeling
approach.
Ligand and complex dissociation constants for Fe were also derived from literature (Bennett
et al., 2008), with a concentration of hydrothermal ligand estimated to be 42 μM and a
seawater ligand being present at 1nM. The dissociation constants of the complexes were both
set to 10-22 (Bennett et al., 2008; Boyd et. al, 2010). We also allowed for either Fe(II) or
Fe(III) complexes with the hydrothermal ligand.
Additional to the organic ligands we modified the thermodat database by including dissolved
metal hydrosulfide species Cu(HS)+ Cu(HS)2 , Fe(HS)+, Zn(HS)+, Zn(HS)2, Mn(HS)+,
Mn(HS)2 as found by Al-Farawati and van den Berg (1999), using the same voltammetric
approach we used. These constants are comparable to the ones published by Luther et al.
(1996). Further stability constants of Cu sulfide clusters (CuS(aq) and Cu3S3(aq) ) were
included from Luther and Rickard (2005). Cu(HS) dissociation constants were from
Mountain and Seward (2003).
Despite the fact that field data and experimental evidence for the stability of organic metal
complexes at higher temperatures are largely missing, calculations of Shock and Koretsky
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(1995), e.g., of thermodynamic properties of metal-organic complexes at high temperatures
and pressures indicate that there is a moderate temperature effect on Cu and Fe organic
complexes at temperatures above 200˚C, while at lower temperatures the stability constants
do not vary strongly. As for the inorganic speciation of the transition metals in hydrothermal
fluids, chloride and hydrosulfide complexes are the most important ones (e.g., Etschmann et
al., 2010 for Cu). Experimental investigations of their respective stabilities (e.g., Mountain
and Seward, 1999, 2003) indicate that at high temperatures Cu chloride complexes dominate,
and Cu hydrosulfide complexes will become more important at temperatures <150°C. For the
mixing of hydrothermal fluid and seawater, the extreme temperature range is only
encountered directly at the vent orifice while already much less than a meter away from the
outlet, turbulent mixing with entraining seawater reduces the temperatures significantly
below 100°C. This means that for the by far largest range of the mixing zone, for which we
consider Cu (and other metal) transport from the vent into the ocean, the reactions take place
at moderate to ambient seawater temperatures (see temperature as function of increased
mixing in SI Figure 1). Therefore, we considered the stability constants of the Cu and Fe
organic complexes in our modeling scenarios to be quasi constant. For species for which
stability constants were missing for some temperatures in the range 0-300°C in the database,
we used the extrapolate option of GWB (i.e. constants are extrapolated beyond the listed
values by polynomal fit).
For the modeling of the chemical reactions during mixing of hydrothermal fluid with
seawater the approach described in ‘Geochemical and Biogeochemical Reaction Modeling’,
chapter 22.1 by Bethke (2008) was followed. The effects of organic complexation on Cu and
Fe speciation and transport were modeled separately for Cu and Fe; however, inorganic
reactions were possible for all metals present in the database in each modeled case.
Parameters for seawater used in this work are given in Supplementary Material Table 1. CO2
(g) was swapped for H+ and O2(g) was swapped for O2(aq) for the seawater as described in
Bethke (2008) chapter 6.1. Values for the fugacities were 10-3.5 for CO2 (g) and 0.2 for O2(g).
After seawater was equilibrated at 4°C, it was ‘picked up’ as reactant and then reacted into
the hydrothermal fluid which was equilibrated at 300°C. This temperature is lower than the
endmember temperatures of the fluids (see Table 1), however, it is the maximum temperature
for which thermodynamic data are available in the database. The ‘dump option’ was switched
on, allowing minerals to be dumped from the system before starting the reaction path. This
means that when the 365 or 407°C hot fluid is equilibrated at 300°C, a significant amount of
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minerals will precipitate and be removed from the system before the mixing with seawater
starts. We consider this to mimic the formation of smoker walls and black smoke particles
very close to the vent outlet when presumably, due to the high temperatures, organic
complexation does not yet have a strong influence. However, we have to keep in mind that,
as these precipitates are removed from the system in the initial step and are not allowed to
redissolve during further mixing, we might possibly underestimate the resulting metal fluxes
during mixing. This may be especially true for Cu, as Cu solubility is extremely temperature-
dependant, and while at temperatures >350°C large Cu concentrations are kept in solution,
cooling to 300°C already induces a significant decrease of dissolved Cu (Metz and Trefry,
2000). All but the minerals known to commonly occur in hydrothermal systems at the MAR
and that have also been observed at Turtle Pits (which are amorphous silica, anhydrite, barite,
birmessite, chalcocite, chalcopyrite, Fe(OH)2 (precipitated), Fe(OH)3 (precipitated), galena,
goethite, magnetite, nontronite (- Ca, K, Mg, Na), pyrite, pyrrhotite, sphalerite, rhombohedral
sulfur, talc and todorokite; K. Schmidt, S. Petersen, personal communication) were
suppressed.
‘Precipitation’ was switched on to allow the minerals to form and transform continuously
during mixing. Sorbed species were excluded. One kg of hydrothermal fluid was mixed in
10,000 linear steps with 1000 kg of seawater. The geochemical reaction paths were calculated
for both the Turtle Pits and the Rainbow fluids, without organic ligands, and including either
Cu-binding or Fe-binding hydrothermal ligands and/or seawater ligands. The reaction paths
were monitored and the results for mineral formation and Cu or Fe dissolved speciation and
concentrations recorded for different mixing ratios (see Supplementary Material Table 2).
Reactions were calculated using the flow-through model (Bethke, 2008) which means that
particles, once they are formed, are removed from the system and not allowed to re-dissolve
during the further modeling steps. This type of model represents a minimum approach for the
calculations of dissolved fluxes. As it is known that sulfide particles partly redissolve when
they are transported into the oxic zone during continuous mixing, the real system probably
lies between the two approaches (flow-through on and off). However, if the flow-through
option was switched off, the calculations resulted in unrealistically high dissolved metal
concentrations, due to the redissolution of sulfide minerals once the system becomes oxic.
This setting, although not entirely representing the full reality and accepting a number of
simplifications was found to be the most suitable way to demonstrate effects that have been
observed in case studies in the field, i.e. enhanced hydrothermal metal fluxes in the presence
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of organic complexing molecules. It also allows to investigate the effects of various
parameters (such as ligand, sulfide or metal concentrations) in a more systematic way than
this is possible in the field. Once more field or experimental data are available, it is
anticipated that this modeling approach can be better constrained than it is possible at the
moment.
For our model calculations we used the pH at standard conditions instead of the in-situ pH in
our model as input parameter for the following reasons: 1). Real in-situ pH data were not
measured in the fluids, and also all other endmember fluid data had been measured under
standard conditions in the lab (see also SI Table 1). 2.) As stated in our model description we
equilibrated the endmember fluid at 300°C. After this equilibration and dumping of all
minerals precipitating during this process the pH of Turtle Pits was 4.4 (instead of 3.1 at
standard conditions). This value is close to data from Ding et al. (2005) who found that the
in-situ pH of hot hydrothermal fluids is around 5. 3) We repeated the modeling of TP with an
in-situ pH of 5 as input pH value. This resulted in a pH after equilibration (and dumping of
minerals) of 4.8. This pH difference of 0.4 units (between input pH of 3.1 or 5) resulted in a
dissolved Cu concentration in the 1:1000 hydrothermal fluid:seawater mixture of 7.7 nM for
the cases that 7.43 nM dissolved Cu had been calculated (see table Box 2, and SI Table 1). In
the case of 1 μM or 10 μM hydrothermal Cu(I)-binding ligands were present, beside 10nM
seawater ligands, the dissolved Cu concentration changed from 9.64 or 9.68 at pH 3.1 to 8.73
or 14.1 nM at pH 5, respectively. Thus although the values change slightly they are on the
same order of magnitude. We can therefore assume that the initial equilibration of data at
standard conditions at 300°C is correcting the input pH in such a way that it is close to the
predicted in-situ pH.
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of organic complexing molecules. It also allows to investigate the effects of various
parameters (such as ligand, sulfide or metal concentrations) in a more systematic way than
this is possible in the field. Once more field or experimental data are available, it is
anticipated that this modeling approach can be better constrained than it is possible at the
moment.
For our model calculations we used the pH at standard conditions instead of the in-situ pH in
our model as input parameter for the following reasons: 1). Real in-situ pH data were not
measured in the fluids, and also all other endmember fluid data had been measured under
standard conditions in the lab (see also SI Table 1). 2.) As stated in our model description we
equilibrated the endmember fluid at 300°C. After this equilibration and dumping of all
minerals precipitating during this process the pH of Turtle Pits was 4.4 (instead of 3.1 at
standard conditions). This value is close to data from Ding et al. (2005) who found that the
in-situ pH of hot hydrothermal fluids is around 5. 3) We repeated the modeling of TP with an
in-situ pH of 5 as input pH value. This resulted in a pH after equilibration (and dumping of
minerals) of 4.8. This pH difference of 0.4 units (between input pH of 3.1 or 5) resulted in a
dissolved Cu concentration in the 1:1000 hydrothermal fluid:seawater mixture of 7.7 nM for
the cases that 7.43 nM dissolved Cu had been calculated (see table Box 2, and SI Table 1). In
the case of 1 μM or 10 μM hydrothermal Cu(I)-binding ligands were present, beside 10nM
seawater ligands, the dissolved Cu concentration changed from 9.64 or 9.68 at pH 3.1 to 8.73
or 14.1 nM at pH 5, respectively. Thus although the values change slightly they are on the
same order of magnitude. We can therefore assume that the initial equilibration of data at
standard conditions at 300°C is correcting the input pH in such a way that it is close to the
predicted in-situ pH.
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SI Table 1: Composition of seawater and hydrothermal fluid endmembers, as used for
the modeling.
Parameter unit Seawater Turtle Pits Rainbow T ˚C 4 407* 365* pH** (25°C) 8.1 3.1 2.8 CH4 mM/kg 0 0.045 2.5 H2 mM/kg 0 0.66 16 H2S mM/kg 0 4.2 1.0 SO4 mM/kg 28.2 0 0 Ba µM/kg 0.2 5.4 67 Ca mM/kg 10.3 8.8 67 Cl mM/kg 546 271 750 Cu µM/kg 0.007 76 140 Fe µM/kg 0.0007 3,940 24,000 K mM/kg 10.1 8.6 20 Mg mM/kg 54.5 0 0 Mn µM/kg 0.001 473 2,250 Na mM/kg 488 237 553 Si mM/kg 0.17 11.6 6.9 Sr µM/kg 90 254 200 Zn µM/kg 0.01 69 160 *modeled at 300°C **input pH represents pH measured at standard conditions Seawater data: Bethke et al. (2008), chapter 22.2 Black smokers Turtle Pits data: Koschinsky et al. (2008) and Haase et al. (2007) for CH4 and H2 Rainbow data: Douville et al. (2002) and Charlou et al. (2002) for CH4 and H2
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SI Table 2: Results of modeling the Cu fluxes during mixing of hydrothermal endmember a) Rainbow, and b) Turtle Pits with seawater. Model settings: precipitation on (allowing minerals to form), extrapolate thermodynamic data, step width of mixing 0.0001, dump minerals (removes minerals formed in the initial equilibrium step from the system). All calculations were made in the flow-through mode, which prevents minerals to re-dissolve once they precipitate, simulating fallout of particles from the plume. The flow-through model may lead to an underestimate of dissolved metal fluxes, thus representing a minimum scenario. The table lists a selection of minerals and their quantities formed at specific mixing ratios, and the resulting dissolved Cu concentrations at these mixing ratios.
a) Rainbow Mixing factor
Pyrite (moles)
Sphalerite (moles)
Chalcocite (moles)
Goethite (moles)
Todorokite (moles)
Birnessite (moles)
diss. Cu (moles/kg)
no Lhy no Lsw
0.4 3.33E-05 1 3.35E-04 2.33E-05
10 4.34E-03 1.09E-04 3.84E-05 2.97E-03 1.14E-08 100 4.34E-03 1.09E-04 3.84E-05 1.73E-02 7.38E-06 8.60E-08 7.50E-09
1000 4.34E-03 1.09E-04 3.84E-05 1.73E-02 7.38E-06 1.96E-07 7.05E-09 1µM Cu(I)Lhy 10nM Cu(II)Lsw
0.4 3.33E-05 1 3.35E-04 2.33E-05
10 4.34E-03 1.09E-04 3.81E-05 2.87E-03 6.30E-08 100 4.34E-03 1.09E-04 3.81E-05 1.73E-02 7.38E-06 8.59E-08 1.33E-08
1000 4.34E-03 1.09E-04 3.81E-05 1.73E-02 7.38E-06 1.96E-07 7.64E-09 10µM Cu(I)Lhy 10nM Cu(II)Lsw
0.4 3.33E-05 1 3.35E-04 2.34E-05
10 4.34E-03 1.09E-04 3.59E-05 5.30E-07 100 4.34E-03 1.09E-04 7.38E-06 3.59E-05 8.71E-08 6.48E-08
1000 4.34E-03 1.09E-04 7.38E-06 3.59E-05 1.97E-07 1.26E-02 1.29E-08
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a) Turtle Pits Mixing factor
Pyrite (moles)
Sphalerite (moles)
Chalcocite (moles)
Goethite (moles)
Todorokite (moles)
Birnessite (moles)
diss. Cu (moles/kg)
no Lhy no Lsw
0.2 2.11E-05 1 1.98E-04 1.33E-05
10 2.36E-03 6.04E-05 4.04E-05 1.58E-03 6.43E-05 2.90E-06 4.57E-08 100 2.36E-03 6.04E-05 4.04E-05 1.58E-03 6.43E-05 2.92E-06 1.12E-08
1000 2.36E-03 6.04E-05 4.04E-05 1.58E-03 6.43E-05 3.03E-06 7.43E-09 no Lhy 10nM Cu(II)Lsw
0.2 2.11E-05 1 1.98E-04 1.33E-05
10 2.36E-03 6.04E-05 4.04E-05 1.58E-03 6.43E-05 2.90E-06 4.57E-08 100 2.36E-03 6.04E-05 4.04E-05 1.58E-03 6.43E-05 2.92E-06 1.13E-08
1000 2.36E-03 6.04E-05 4.04E-05 1.58E-03 6.43E-05 3.03E-06 7.43E-09 1µM Cu(I)Lhy 10nM Cu(II)Lsw
0.2 2.11E-05 1 1.98E-04 1.33E-05
10 2.36E-03 6.05E-05 3.47E-05 1.64E-03 6.74E-05 1.65E-07 2.24E-07 100 2.36E-03 6.05E-05 3.47E-05 1.64E-03 6.74E-05 1.78E-07 3.30E-08
1000 2.36E-03 6.05E-05 3.47E-05 1.64E-03 6.74E-05 2.87E-07 9.64E-09 1µM Cu(II)Lhy 10nM Cu(II)Lsw
0.2 2.11E-05 1 1.98E-04 1.33E-05
10 2.36E-03 6.04E-05 4.04E-05 1.58E-03 6.43E-05 2.90E-06 4.98E-08 100 2.36E-03 6.04E-05 4.04E-05 1.58E-03 6.43E-05 2.92E-06 1.13E-08
1000 2.36E-03 6.04E-05 4.04E-05 1.58E-03 6.43E-05 3.03E-06 7.43E-09 Lhy = hydrothermal ligand, Lsw = seawater ligand, Cu(I)L = Cu(I)-binding ligand, Cu(II)L = Cu(II)-binding ligand Mineral formations and dissolved Fe concentrations were calculated correspondingly by including organic seawater and hydrothermal ligands for Fe.
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SI Figure 1: Graphic presentation of excerpts of the modeling results, showing changes of temperature, redox potential, pH, dissolved Cu concentrations, and mineral formation during mixing of 1 kg hydrothermal fluid (Turtle Pits) with up to 1000 kg of seawater.
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SI 2. Calculation of Cu and Fe fluxes from hydrothermal sources Hydrothermal fluxes of dissolved Cu and Fe into the deep ocean were calculated under the following assumptions: The global hydrothermal water flux is 7.2x 1012 kg/year (Nielsen et al., 2006). Assuming Cu hydrothermal endmember concentrations of 9.7 x 10-6 moles/kg as the minimum value (Elderfield and Schulz, 1996) and the Rainbow vent fluid as the maximum value (140 x 10-6 moles/kg) we calculated an annual hydrothermal Cu flux between 6.98 x 107 kg/year and 10 x 107 kg/year for the two extreme values. These values are multiplied by the % of dissolved hydrothermal Cu entering the deep ocean with respect to the endmember concentration (Box 2 table, values in parentheses). These values range between 0.04 and 0.56% when no organic ligands are present and between 0.45 and 4.12% when organic ligands where present. This results in values for dissolved Cu between 2.09 and 13.3 x 106 moles/year entering the deep ocean and originating from hydrothermal vents. Assuming now a deep-ocean volume of 2.6 x 1020 L and a dissolved Cu concentration of 0.7 x 10-9 moles/kg we can calculate the total amount of dissolved Cu in the deep ocean (1.82 x 1012 moles). Taking a residence time of Cu in the ocean of 6,400 years (Bewers and Yeats, 1977), we receive an annual Cu flux required to maintain the dissolved Cu concentration in the deep-ocean of 2.84 x 108 moles/year. Using now the values for dissolved Cu in kg/year entering the deep ocean and originating from hydrothermal vents we calculated a percentage of dissolved Cu in the deep ocean to originate for hydrothermal vents as being between 0.74% (assuming all minimum values) and 14.2% assuming values valid for the Rainbow hydrothermal vent field in case Cu(I) binding organic ligands are present in hydrothermal vent systems. In the absence of organic complexation (including those in seawater) only 0.14 % of dissolved Cu may originate from hydrothermal vents. Similar calculations were done for Fe assuming a minimum Fe concentration in hydrothermal endmembers of 0.75 x 10-3 mol/kg (Elderfield and Schulz, 1996) and a maximum of 24 x 10-3
mol/kg Fe as found in the Rainbow endmember (Douville et al., 2008). A residence time of 70 to 140 years (Bruland et al., 1994) and a deep-ocean dissolved Fe concentration of 0.7 x 10-9 mol/kg were assumed. As a result we calculated in the presence of 42 x 10-6 mol/kg Lhy values between 0.69 to 9.3% of all dissolved Fe in the deep ocean to be from hydrothermal sources. In the absence of hydrothermal ligands, but the presence of Fe-binding ligands in seawater (Lsw) a maximum of 0.01% of all dissolved Fe in the deep ocean to be from hydrothermal sources. In the absence of any organic ligand (i.e., no Lhy and Lsw) dissolved Fe is not stable in seawater.
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