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* Department of Geology and ESSIC, University of Maryland, College Park, Maryland 20742
** DCESS and Institute of Biology, Southern Denmark University, Campusvej 55, 5230 Odense M, Denmark
Corresponding author: David Johnston, dtj{at}geology.umd.edu
| ABSTRACT |
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33S' and
) allow various metabolic processes to be distinguished from one another, even when
34S fractionations are similar, providing a tool that can be used to interpret and identify different types of biological sulfur fractionations in the geologic record.
| INTRODUCTION |
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Experimental studies of sulfate-reducing bacteria under different physical and chemical conditions have established a likely biochemistry for sulfate reduction (Peck, 1959, 1961; Rees, 1973; Castro and others, 2000; Detmers and others, 2001; Canfield, 2001). Rees (1973) described sulfate reduction using the network,
![]() | (1) |
34S (Harrison and Thode, 1958; Kaplan and Rittenburg, 1964; Kemp and Thode, 1968; Chambers and others, 1976; Canfield, 2001). Since sulfate reducing bacteria impart large sulfur isotopic fractionations, and considering that dissimilatory sulfate reduction accounts for over 50 percent of the organic carbon oxidation in modern marine sediments, this process is considered one of the most important controls on the sulfur isotope record (Jørgensen, 1982; Thamdrup and others, 1996; Canfield, 2001; Habicht and Canfield, 2002).
Our understanding of sulfur disproportionation is less well developed. Disproportionation uses various sulfur intermediates (elemental sulfur, sulfite, and thiosulfate) and produces both oxidized (sulfate) and reduced (hydrogen sulfide) end-members (Bak and Pfenning, 1987; Canfield and Thamdrup, 1994; Thamdrup and others, 1994; Canfield and Teske, 1996; Finster and others, 1997; Habicht and others, 1998; Cypionka and others, 1998). In the case where sulfite is disproportionated, the reaction proceeds as (Frederikson and Finster, 2003),
![]() | (2) |
![]() | (3) |
in
34S) on the sulfur isotope record (Thamdrup and others, 1993; Canfield and Teske, 1996; Habicht and others, 1998; Habicht and Canfield, 2002). Studies of modern seafloor ecosystems have used both microbial and geochemical techniques to examine the fractionation between product sulfides and residual pore water sulfate (Habicht and Canfield, 2002). This approach provides convincing isotopic evidence for the influence of disproportionation in some modern environments and further supports the argument that disproportionating bacteria played an important role in the geological record of sulfur isotope fractionations. However, it is not possible to apply this method directly to the ancient geological record due to a lack of contemporaneous sulfide and pore water sulfate, and because it is not possible to study cultures of the indigenous sulfate-reducing bacteria in the same way as Habicht and Canfield (2002).
Here we report on a new multiple isotope tool to study the relative influences of dissimilatory sulfate reduction and sulfur disproportionation on the sulfur isotope record. We demonstrate that 33S can be used in conjunction with 34S to differentiate the signatures of biological sulfate reduction and biological disproportionation. In the geologic record it is suggested that these variations can be distinguished from those produced by nonbiological processes and hence provide constraints on environmental evolution throughout the Proterozoic Eon. Our approach may allow for the evaluation of fractionation processes contributing to the sulfur isotope record in ancient and modern systems.
| ISOTOPIC NOTATION |
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![]() | (4) |
, noted as term
', was chosen to represent the isotopic composition of our samples to remain consistent with other notations (see below). Taken from Hulston and Thode (1965), we define
' logarithmically as,
![]() | (5) |
3xS', we note the difference in composition between two reservoirs (A and B) as
3xS'B
3xS'A.
We use
33S' to describe the deviation of a sample datum from a reference fractionation line and define
33S' as
![]() | (6) |
RFL defines the relationship between
34S' and
33S' for the reference fractionation line (Ono and others, 2003; Young and Galy, 2004).
33S' differs only slightly from
33S (=
33S 1000*[(1 +
34S/1000)
1]) used in previous studies when isotopic compositions are near zero (Farquhar and others, 2000; Farquhar and Wing, 2003). We use a value of 0.515 for 3334
RFL to remain consistent with prior studies (for example Hulston and Thode, 1965).
Many fractionation processes depend strongly on the relative mass difference between the isotopes, resulting in highly correlated variations for
33S' and
34S' (Hulston and Thode, 1965; Farquhar and others, 2003). These variations are described by
![]() | (7) |
) and reflects a specific fractionation process. Current convention describes observed variations for
33S' and
34S' using
![]() | (8) |
In this study there is a distinction between isotopic fractionation processes, which are described using
and
, and observed isotopic fractionations, which are described using
3xS' and
(Mook, 2000; Farquhar and others, 2003; Angert and others, 2003). We use
and
as input values in our modeling.
is largely a theoretical term because it is difficult to determine experimentally. In this study, we use
to describe both the fractionations we observe in our experiments and the fractionations predicted from our modeling.
3xS' and
are "net" quantities that can include the effects of many processes and mass-balance (Hayes, 2001; Farquhar and others, 2003). Logarithmic definitions of
3xS' and
33S' are used because they provide a straightforward way to relate
to isotopic compositions.
| MASS-DEPENDENCE |
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Isotopic fractionation processes have been traditionally grouped into several overarching categories that include both equilibrium and kinetic processes. Equilibrium fractionations described by Urey (1947) and Bigeleisen and Mayer (1947) reflect the minimization of free energy associated with isotopic exchange reactions. Kinetic fractionations comprise a much larger group of processes that are characterized by unidirectional reactions and transport. Transition state theory has been applied to kinetic fractionations by Bigeleisen and Wolfsberg (1958), who describe chemical kinetic isotopic fractionations in terms of the vibrational energies of the transition state, those of the reactants, and also the reaction path and its relationship to the potential energy surface that describes the different states. Other authors describe kinetic fractionations in terms of the relationship between velocity and kinetic energy for isotopically substituted species (Matsuhisa and others, 1978; Craig and others, 1988; Mook, 2000; Young and others, 2002; Schauble, 2004). It is important to recognize that each of these treatments applies in a different physical-chemical situation, and that each of these treatments has different implications for the isotopic fractionations. Further, some studies have referred to metabolic fractionation processes as kinetic fractionations (Kaplan, 1975). We prefer to make a distinction between fractionation effects that are produced by multi-step metabolic and biogeochemical processes and those that are intrinsic to individual chemical and physical processes (for example, Urey, 1947; Bigeleisen and Mayer, 1947; Bigeleisen and Wolfsberg, 1958; Matsuhisa and others, 1978; Craig and others, 1988; Mook, 2000; Young and others, 2002; Schauble, 2004).
The possibility of different mass-dependent fractionations arising from different equilibrium and kinetic fractionation processes is well documented (Bigeleisen and Wolfsberg, 1958; Matsuhisa and others, 1978; Mook, 2000; Young and others, 2002; Schauble, 2004; Young and Galy, 2004). Values of
produced by equilibrium isotopic exchange of sulfur between sulfur species have been constrained using the theoretical treatment of Urey (1947) and are generally near 0.515 for 3334
. Determinations of 3334
produced by kinetic processes are more variable, falling between 0.500 and 0.515 and depend on the nature of the fractionation process responsible for the isotopic fractionations.
Values of
produced by multi-step metabolic processes described by Farquhar and others (2003) depend on the structure of the network, the relative amounts of material that are transferred through the metabolic network, and on the isotopic fractionations (
and
) of its constituent steps. Because of the dependence on material transfer and network structure, the values of
can be more variable than the values of
for all constituent steps within any given network. All of the modeling efforts presented in the text assumes a 3334
= 0.5145, which is an equilibrium value for exchange between sulfate and hydrogen sulfide at 20 °C (Farquhar and others, 2003). We recognize that our calculations may later be refined with more precise assignments of 3334
for each of the constituent network steps, but do not explore this aspect in the present study.
| MODELING |
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3/(
3 +
2) and f5 =
5/(
5 +
3), where
j is a term describing the amount of material moving along pathway j. f3 indicates the relative amount of material leaving the cell as hydrogen sulfide (pathway 3 in equation 1) as opposed to leaving the cell as sulfate (pathway 2 in equation 1), whereas f5 represents the relative internal backflow of sulfur (pathways 5a and 5b in equation 1). These flow-nets illustrate the dependence of
on the intercellular recycling of sulfur (f5) and the internal/external exchange of sulfate (f3).
An important result from this treatment is that values for
will be less than
for all values of f other than 0 and 1 if the fractionation factors (
) are less than 1.00. The converse is true when the fractionation factors are greater than 1.00. In more complex networks with multiple fractionation factors, some of which are greater than 1 and some that are less than 1,
can be greater than or less than
depending on the values of f. When values of f = 0 or 1,
equals
. Another consequence from this treatment is that the solution to progressively more and more complex networks can be obtained by nesting the solutions for simple networks (see also Rees, 1973). In other words, the fractionation factors for multiple steps are multiplicative.
Modeling disproportionation networks can be undertaken by adapting a similar treatment to the disproportionation network structure. Farquhar and others (2003) examined a very simple branching network component without backflow and noted that the mass-dependent factor,
, between the products of this network would be a weighted average of the
s for each of the branches. This treatment can be expanded to branching networks with backflow by applying the ideas above. If the fractionation factors along a branch are greater than 1.00, such as is the case along oxidative branches for sulfur disproportionation, the net
values have the potential to be greater than the constituent
values for all values of f other than 0 and 1. For example, to produce
values greater than 0.5145 for a branching network with all
= 0.5145, a back reaction along the oxidative branch of the network (similar to those seen in equations 2 and 3) must be employed. These principles are used below to interpret our experimental results.
| METHODS |
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Sulfide concentrations (± 5% SD) are determined photometrically using a methylene blue technique (Cline, 1969), and later distilled in 6N HCl, liberating H2S, which was then reacted with AgNO3 to produce Ag2S. Sulfate and thiosulfate concentrations (± 1% SD) were determined via ion chromatography after the addition of a bicarbonate buffer. Sulfates were originally precipitated as BaSO4 and then further reduced (Thode and others, 1961; Forrest and Newman, 1977) to CdS, and then finally to Ag2S.
Cell growth was monitored through optical density measurements at 670nm. Optical density was calibrated to cell numbers by staining cells with DAPI and counting them under UV light. As published by Detmers and others (2001), cell specific reduction rates (csSRR) during exponential phase growth are represented by,
![]() | (9) |
The samples used for the disproportionation experiments were generated in the studies of Canfield and others (1998) for elemental sulfur disproportionation and Habicht and others (1998) for sulfite disproportionation. Product ratios (SO4:H2S) included in these publications serve as mass-balance parameters when interpreting isotope results.
For isotopic analyses, Ag2S was reacted with excess F2 at 200 °C in Ni-reaction vessel to produce SF6. SF6 was purified using cryogenic and gas chromatographic techniques. The isotopic composition of SF6 was determined using a dual inlet, ThermoFinnigan MAT 253 gas source mass spectrometer in the University of Maryland stable isotope laboratory.
Twenty-three fluorinations of an internal reference material yielded
33S of 0.32 ± 0.16 permil,
34S of 0.62 ± 0.34 permil, and
33S of 0.008 ± 0.014 permil (2
) relative to the UMd house SF6. Uncertainties for
33S are smaller than those for
33S because variability inherent in the measurement technique leads to correlated clusters of
34S with
33S that covary by
0.5. Uncertainties on single fluorinations of unknown silver sulfides are estimated to be comparable to those for our internal standard. This estimate of uncertainty does not include uncertainties that may arise from sampling procedures or wet chemical procedures associated with the collection and production of the silver sulfide for the analyses. For the purposes of estimating the uncertainties on
, we use the methods of Williams (1967) and assume uncorrelated uncertainties similar to those on individual fluorinations (0.34
and 0.014
for
34S and
33S, 2
).
Our modeling technique is presented in Farquhar and others (2003), and outlined earlier in this submission. The model network used for dissimilatory sulfate reduction is presented in Rees (1973) and can be seen in equation (1). In the case of dissimilatory sulfate reduction, we solved for the relationship between the initial sulfate and product hydrogen sulfide. For sulfur disproportionation, we use the networks presented in equations (2) and (3) and a stoichiometry of 4SO32 + 2H+
H2S + 3SO42 for sulfite disproportionation and 4So + 4H2O
3H2S + SO42 + 2H+ for elemental sulfur disproportionation to solve for both end-members (sulfate and sulfide) as well as the composition of the reactant pool (either elemental sulfur or sulfite) (Thamdrup and others, 1993; Finster and others, 1998; Canfield, 2001). All reactions are modeled with 3334
values at 0.5145. The individual fractionation factors for the sulfate reduction pathway are taken as
= 1.003 for diffusion of sulfate into the cell, and
= 0.975 for both the internal conversion of sulfate to sulfite and the enzymatic reduction of sulfite to hydrogen sulfide (Rees, 1973). Fractionation factors for the disproportionation networks were taken partly from the sulfate reduction literature (Rees, 1973), with the remaining
values being provided by theoretical calculations presented in table 1 of Farquhar and others (2003).
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| RESULTS |
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33S' and
values for each sample. The isotopic compositions of the sulfate reduction experiments were normalized to the starting sulfate composition and, when possible, sulfur disproportionation experiments were normalized to the composition of the starting sulfur compound. In the case of the Golfo Dulce samples, where no initial sample was available, values were normalized to house UMd SF6.
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Sulfate Reducing Bacteria
34S' and the residual sulfate was enriched with respect to the
34S' values for the starting sulfate (table 1). For longer duration experiments,
34S' values of both sulfide and sulfate are more positive.
33S' values record slight changes in both sulfate and sulfide compositions, with the sulfide becoming more positive and the sulfate becoming more negative. The
values for this experiment ranged from 0.5106 to 0.5114. Mixing lines between product sulfide and the residual sulfate intersected the initial sulfate composition, therefore satisfying mass balance.
Results for experiments run with D. autotrophicum illustrate a sulfide reservoir with depleted
34S' values and with an enriched
34S' composition in the sulfate reservoir (table 1). As the reaction proceeds, the sulfide composition grows more depleted and the sulfate composition becomes more enriched in
34S'. The
33S' values record slight changes in both sulfide and sulfate composition, with both species migrating towards more positive values.
values for this experiment evolved from 0.5103 to 0.5125. Mixing lines between the residual sulfate and product hydrogen sulfide intersect the starting composition of the initial sulfate and the data are therefore consistent with isotopic mass balance.
Sulfur Disproportionating Bacteria
Two experiments with freshwater sulfite disproportionator D. thiozymogenes yielded fractionations of up to 31 permil for
34S'H2S-
34S'SO4 (table 2). The sulfide pool showed strong
34S' depletions of 23 permil, whereas the sulfate pool was only enriched by 7 permil. The
33S' values of the two reservoirs is more positive than the starting sulfite by up to 0.15 permil and the average
SO4H2S was 0.5164.
Two sulfite disproportionating experiments with D. sulfodismutans produced large fractionations for
34S', with an average
34S'H2S-
34S'SO4 of
50 permil between the sulfides and sulfates (table 2). Longer duration experiments produced sulfides that were less depleted in
34S' whereas the sulfates became less enriched in
34S'. The
33S' values in both pools recorded significant enrichments of up to 0.16 permil, relative to the starting sulfite. The average observed
H2S-SO4 for this experiment was 0.5147.
Two experiments with an elemental sulfur disproportionator from Golfo Dulce, Costa Rica produced smaller
34S'H2S-
34S'SO4 fractionations, with an upper limit of
29 permil (table 2). We observe
34S' sulfide values of
4 permil, with the complimentary sulfate pool recording a
34S' enrichments of
30 permil. The
33S' values were enriched by up to 0.09 permil in the sulfates, and with
SO4-H2S of up to 0.5187.
34S' measurements highlight the large fractionations between products sulfide and sulfate that are produced by sulfur disproportionation (Thamdrup and others, 1993; Canfield and Teske, 1996; Habicht and others, 1998). The addition of minor isotope data also indicates variations in
33S', most notably between initial compositions and the products. When coupled, very large fractionations in
34S' and measurable
33S' allow for more precise determinations of
, and hence greater resolution from
RFL than for the sulfate reduction experiments.
| DISCUSSION |
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Interpretation of Experimental Data Using Flow Networks
and the
34S'H2S-
34S'SO4 produced during the reduction of sulfate by A. fulgidus. In this study, we additionally present the multiple sulfur isotope data from experiments with two other sulfate reducers, D. autotrophicum and D. jorgensenii (Fig. 2). The ranges of isotopic variations produced by these organisms yielded
values that range from 0.5103 to 0.5125. These
values are significantly less than those predicted for equilibrium exchange between hydrogen sulfide and sulfate between 0 and 120 °C (0.5146-0.5150), but similar to those predicted for dissimilatory sulfate reduction (0.512) (Farquhar and others, 2003). The relationship between
and the
34S'H2S-
34S'SO4 reflects changes in the flow parameters of the sulfate reduction network (eq 1). As described previously (Farquhar and others, 2003), the isotopic composition of experiments with A. fulgidus (culture grown as a continuous culture within a bioreactor) evolved along a contour that defines constant proportions of sulfur diffusion into and out of the cell (f3
0.4) and variable proportions of internal back reactions between sulfite, APS, and sulfate (f5 varies from 0.2 to 1.0) (see fig. 2).
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34S' fractionations typical of other sulfate reducing bacteria. This experiment evolved in a similar way to A. fulgidus along f3 (approximately 0.4), but produced fractionations that required f5 values from 0.6 to greater than 1.0 (Fig. 2). Since it is not possible for f5 to exceed 1, these experiments suggest that at least one of the input fractionation factors associated with the internal network steps is slightly incorrect. For instance, it is possible to account for the data using the Rees (1973) network by increasing the fractionation factor for the internal back reaction (SO3= to SO4 (in)=) to 35 permil in
34S' (originally at 25
). One possible explanation for the evolution along the f3 contour is that this organism is known to metabolize very slowly, as seen by the low specific rates calculated earlier. This may indicate a less dynamic sulfate exchange mechanism.
The isotopic relationships produced by D. autotrophicum evolve in a different way than A. fulgidus and D. jorgensenii, but the
34S' fractionations are still consistent with sulfate reduction. This experiment follows a contour that defines constant proportions of internal back reactions between sulfite, APS, and sulfate (f5
0.6) and variable proportions of transport of sulfate into and out of the cell (f3 varies from 0.3 to 0.6) (Fig. 2). We interpret variations in f3 as a response to the changes in the external sulfate concentration during the batch culture experiments.
The experiments described above represent two fundamentally different types of experiments. In the case of A. fulgidus, a bioreactor was used to maintain chemical equilibrium throughout the experiment whereas both D. jorgensenii and D. autotrophicum were grown in batch mode, where external conditions are constantly evolving and Rayleigh fractionation effects are more likely. However, since all these experiments produced similar
values, we exclude the discussion of Rayleigh distillation effects and conclude that Rayleigh fractionation only has small effects on these systems. Later, more refined studies should revisit this conclusion and test the role of Rayleigh fractionation effects on
in microbial experiments.
This analysis illustrates the potential applications for this approach. Experimental data provides a critical check of the validity of the structure, the fractionation factors, and the flow parameters used in the proposed biological networks. At present, our data do not allow us uniquely to constrain these parameters in the networks, but future work that includes experimental determination of the isotopic compositions of intermediate sulfur pools has the potential to provide this information.
Experiments with elemental sulfur and sulfite disproportionating bacteria.
We use a similar approach to understand the sulfur isotopic fractionations produced by disproportionation networks. In the case of sulfur disproportionation, we interpret the relationship between the products (sulfide and sulfate) rather than between reactant and product. The modeling treatment of these disproportionation networks (see eqs 2 and 3) describes the general features that are observed in the experiments, but the calculations can be sensitive to the input parameters, such as
and
, which remain to be further constrained.
Multiple sulfur isotope measurements from the disproportionation experiments produced
34S' fractionations that range from 23 to 55 permil, consistent with our understanding of disproportionation. The experiments yield
values between product hydrogen sulfide and product sulfate that range from 0.5145 to 0.5187 (Fig. 3). The sample pairs with the lowest values of
produced the largest
34S' fractionations. The models of Farquhar and others (2003) produce similar values when there is insignificant back reaction (unidirectional flow) after the disproportionation branching point. For sample pairs with more positive
values, the
34S' fractionations are smaller. We interpret these larger
values, in the context of the Farquhar and others (2003) model, as indicating a back reaction in the oxidative branch (pathways 5 and 7 in eq 2 and pathways 5, 7, and 9 in eq 3) of the disproportionation network. Although we view
= 0.516 as a natural upper limit for mass-dependent processes, branching networks have been shown to produce inverse fractionation effects, or in our case
> 0.516, associated with one product of a branching network (Fry, 2003). Back flow along the reductive branch of the disproportionation network conversely reduces the
values in a similar fashion to that of sulfate reduction (see fig. 2). The large range in
values may indicate that internal back flow, primarily along the oxidative branch, is a highly variable characteristic of disproportionation biochemistry. Although the modeling approach provides insight into the first-order fractionation affects, we have been unable to reproduce the data using fractionations similar to those in the sulfate reduction network. The model can be forced to reproduce the data, but requires large (
10
in 34S) fractionations associated with sulfite transport into the cell, and very large (40-50
in 34S) fractionations associated with the sulfite-APS-sulfate steps. We feel that the modeling methodologies are resilient, and the focus of future work rests on determining the appropriate network for these metabolisms.
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must also be considered in disproportionation experiments. Rayleigh fractionation was an important factor in sulfite disproportionation experiments (Habicht and others, 1998), whereas in elemental sulfur experiments it was not (Canfield and others, 1998). However, since the minor isotope data are similar for both styles of experiment, the fractionations observed are felt to be intrinsic to the process of disproportionation, and not a result of Rayleigh distillation.
Geological and Biological Applications
Our experiments and their evaluation in the context of metabolic networks demonstrate that it is possible to distinguish between signatures produced by dissimilatory sulfate reducers and sulfur disproportionators, even when the magnitude of the isotopic fractionation is similar.Figure 4 illustrates the relationship between
values and
34S' fractionations for hydrogen sulfide-sulfate pairs for experiments involving dissimilatory sulfate reducers as well as sulfite and elemental sulfur disproportionators. A line that represents calculated effects of equilibrium fractionations between H2S and SO4 from Farquhar and Wing (2003) is presented on figure 4 as well. Biological disproportionation processes produce
values that converge on equilibrium values for hydrogen sulfide-sulfate exchange (0.5147) when
34S' fractionations are large, but trends to values of
that are greater than 0.5150 when
34S' fractionations are less than approximately 35 permil. Fractionations between H2S and SO4 that are produced by dissimilatory sulfate reduction yield
values between 0.5125 and 0.5103, significantly lower than
values produced by either equilibrium exchange (0.5147-0.5150) or biological disproportionation (0.5147) at the same magnitude
34S' fractionation.
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associated with reduction be similar to that of the obligate sulfate reducers. Primary disproportionators will only reduce sulfate as a means of survival under conditions where disproportionation is less favorable. In interpreting the geologic record, a sulfur disproportionating bacteria reducing sulfate should be just as diagnostic of the environmental conditions as a sulfate reducing bacteria reducing sulfate.
The ability to distinguish isotopic fractionations produced by dissimilatory metabolisms from those produced by disproportionation metabolisms has potential application for testing hypotheses about the changing role of sulfur metabolisms in the terrestrial sulfur cycle over the course of Earths history. For instance, Shen and others (2001) have argued that large
34S' fractionations between pyrite and host barite in 3.45 Ga samples of the Pilbara Group of northwestern Australia reflect dissimilatory sulfate reduction by early bacteria. Moreover, it has been suggested that after 2.5 Ga, the record of sulfur isotopes on a global scale cycle bears the signature of sulfate reducing bacteria and that the imprint of disproportionation did not become significant until after approximately 1 Ga (Canfield, 1998, 2001). It has also been suggested that the large positive excursions for
34S following Neoproterozoic glaciations were caused by distillation of sulfur by sulfate reducing bacteria (Hurtgen and others, 2002). Our findings suggest that determination of the multiple isotope fractionations for these and related samples may provide a new test of these hypotheses as well as potential tests for evidence of metabolic activity and sulfur fractionations in samples relevant to astrobiological studies.
| ACKNOWLEDGEMENTS |
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