A carbonate-rich lake solution to the phosphate problem of the origin of life
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Edited by Jonathan I. Lunine, Cornell University, Ithaca, NY, and approved November 27, 2019 (received for review September 16, 2019)

Significance
Phosphate is crucial for the origin of life because it is ubiquitous in key biomolecules. A major issue is that prebiotic syntheses use concentrated phosphate to incorporate phosphate into biomolecules, whereas natural waters are generally phosphate-poor because phosphate reacts with calcium to form low-solubility apatite minerals. Here we show that carbonate-rich lakes can concentrate phosphate to >1 molal levels by locking up calcium in carbonate minerals, which prevents phosphate removal by apatite precipitation. Phosphate-rich lakes may have preferentially formed on the prebiotic Earth because of carbonic acid weathering under CO2-rich atmospheres and the absence of microbial phosphate consumption. This specifically points to an origin of life in carbonate-rich lakes, and so defines aqueous conditions that prebiotic chemists should consider.
Abstract
Phosphate is central to the origin of life because it is a key component of nucleotides in genetic molecules, phospholipid cell membranes, and energy transfer molecules such as adenosine triphosphate. To incorporate phosphate into biomolecules, prebiotic experiments commonly use molar phosphate concentrations to overcome phosphate’s poor reactivity with organics in water. However, phosphate is generally limited to micromolar levels in the environment because it precipitates with calcium as low-solubility apatite minerals. This disparity between laboratory conditions and environmental constraints is an enigma known as “the phosphate problem.” Here we show that carbonate-rich lakes are a marked exception to phosphate-poor natural waters. In principle, modern carbonate-rich lakes could accumulate up to ∼0.1 molal phosphate under steady-state conditions of evaporation and stream inflow because calcium is sequestered into carbonate minerals. This prevents the loss of dissolved phosphate to apatite precipitation. Even higher phosphate concentrations (>1 molal) can form during evaporation in the absence of inflows. On the prebiotic Earth, carbonate-rich lakes were likely abundant and phosphate-rich relative to the present day because of the lack of microbial phosphate sinks and enhanced chemical weathering of phosphate minerals under relatively CO2-rich atmospheres. Furthermore, the prevailing CO2 conditions would have buffered phosphate-rich brines to moderate pH (pH 6.5 to 9). The accumulation of phosphate and other prebiotic reagents at concentration and pH levels relevant to experimental prebiotic syntheses of key biomolecules is a compelling reason to consider carbonate-rich lakes as plausible settings for the origin of life.
Phosphate is central to the origin of life (1⇓⇓–4) because it is a key component of nucleotides, phospholipids, and metabolites such as adenosine triphosphate used in cellular replication, compartmentalization, and energy transfer, respectively (5). A major issue for prebiotic chemistry is that phosphate combines with Ca2+ down to micromolar levels to form apatite-group minerals [e.g., Ca5(PO4)3(OH,F,Cl)] or with Fe3+ and Al3+ in acidic solutions to form Fe/Al phosphates (6). However, laboratory experiments seeking to understand prebiotic phosphorylation (i.e., adding a phosphoryl group to an organic molecule) commonly use ∼1 molal phosphate to overcome phosphate’s poor reactivity with organics in water (2⇓–4, 7, 8). Concentrated phosphate also catalyzes acid/base and nucleophilic reactions and acts as a pH and chemical buffer (8). The geochemical difficulty of forming concentrated phosphate, combined with its central role in prebiotic syntheses, is a long-standing enigma known as “the phosphate problem” (1, 4).
Difficulties with using aqueous phosphate have motivated research on more reactive phosphorylating agents such as struvite (MgNH4PO4·6H2O), polyphosphates, and amidophosphates (9⇓–11), and alternative solvents such as formamide and urea (12, 13). These approaches are generally problematic because the proposed reagents would have been scarce in plausible early Earth environments (10, 14, 15). Reduced phosphorus compounds, such as phosphite
Here we to show that carbonate-rich lakes are an exception to the rule of low phosphate concentrations found in most natural waters. Using environmental data, laboratory experiments, and geochemical models, we find that >1 molal phosphate concentrations could have occurred on the early Earth in carbonate-rich lake environments. This provides a plausible geochemical source of concentrated, soluble phosphate needed in prebiotic syntheses, and points to a specific environment for the origin of life in carbonate-rich lakes.
High Phosphate Concentrations in Present-Day, Carbonate-Rich Lakes
Phosphate concentrations are remarkably high in closed-basin, carbonate-rich lakes and generally increase with increasing carbonate alkalinity (Fig. 1) (see SI Appendix, Appendix A for other dissolved species). Searles Lake, located within the Mojave Desert in California, is an economically important carbonate-, boron-, and sulfate-rich groundwater brine within a dry lake basin that contains 5 to 17 mM phosphate (19). Even higher total phosphorus concentrations are found in Goodenough and Last Chance Lakes in British Columbia, which can exceed 50 mM during periods of desiccation in the summer and autumn (20, 21). Other carbonate-rich lakes, such as Lake Magadi in Africa (22, 23) and Mono Lake in California (24), contain ∼1 mM phosphate.
Phosphorus concentrations in carbonate-rich lakes, including Searles Lake (19, 69), Lake Magadi (22, 23), Goodenough and Last Chance Lakes (20, 36), various other North American lakes (36, 69⇓–71), and various other African lakes (72⇓⇓–75). Inorganic phosphate was determined in most analyses; however, the Goodenough and Last Chance Lake analyses are for total phosphorus (inorganic + organic).
Closed-basin lakes accumulate high salt concentrations, including phosphates, from chemical weathering within their hydrologic basins, followed by the inflow of weathering products via streams to evaporating lake brines (25). Carbonate-rich lakes, in particular, develop when atmospheric or volcanogenic CO2 gas dissolves in water to form carbonic acid
Phosphate is thought to accumulate in carbonate-rich lakes because the carbonate alkalinity strongly precipitates Ca2+ from solution as low-solubility Ca2+ carbonates, which allows phosphate to reach much higher concentrations before saturating with respect to apatite (27, 28). However, the specific minerals that control Ca2+ and phosphate concentrations, and the maximum phosphate concentrations possible, are unknown because apatites and carbonates form poorly defined and/or metastable phases in carbonate-rich brines. Na+, Mg2+,
Experiments on Phosphate Accumulation in Carbonate-Rich Brines
The preceding considerations motivated a series of experiments to determine how much phosphate can accumulate by abiotic processes in carbonate-rich lakes. We start by noting that carbonate-rich lakes can only accumulate phosphate if Ca2+ precipitates in carbonates instead of apatites; otherwise, phosphate will be removed from solution by much higher Ca2+ influxes to lake basins. Consequently, how much phosphate can accumulate in carbonate-rich lakes is determined by what phases Ca2+ preferentially precipitates in. If Ca2+ precipitates as apatite, it will limit phosphate concentrations in the brine. On the other hand, if Ca2+ carbonates form, then phosphate can accumulate at higher concentrations.
To investigate Ca2+ precipitation in phosphate- and carbonate-rich brines, we slowly added Ca2+ using gypsum (CaSO4·2H2O) and phosphate using Na2HPO4 to various saturated Na2CO3/NaHCO3 brines in the laboratory at room temperature (∼23 °C). We then analyzed the salts that precipitated for mineralogy and chemistry (Methods). Results indicate that the formation of apatite and Ca2+ carbonate salts depends primarily on the relative concentrations of carbonate
Results from experiments on phosphate- and carbonate-rich brines. (A) The concentration of phosphate in saturated Na–HCO3–CO3 brines after 2 wk of equilibration with 50 to 100 mmol⋅kg−1 Ca2+ in the form of gypsum (CaSO4·2H2O) and initial phosphate concentrations from 10 to 100 mmol⋅kg−1. Solid circles indicate solutions saturated with respect to both apatite and calcite (determined via XRD; see Methods). Open circles indicate solutions that are saturated with respect to calcite and/or gaylussite (Na2CO3·CaCO3·5H2O); hence, phosphate must be more concentrated than these points for apatite to precipitate (indicated by the upwards arrows). The x axis gives the equivalent percentage of
At low
The relative proportion of
Evaporative Concentration of Phosphate-Rich Brines
Our experiments indicate that when Ca2+ is added to phosphate- and carbonate-rich brines, apatite minerals only precipitate above 10 to 100 mmol⋅kg−1 phosphate. Applied to a closed-basin lake setting, this means that phosphate delivered via streams can accumulate up to ∼100 mmol⋅kg−1; however, at higher phosphate concentrations, Ca2+ delivered by stream inflows will precipitate phosphate from solution as apatite. Given that streams have much more Ca2+ than phosphate (36), closed-basin lakes in hydrologic balance (i.e., stream inflows balance water loss via evaporation) are constrained to <100 mmol⋅kg−1 phosphate. However, once a phosphate-rich lake forms, the brine contains much more phosphate than Ca2+ because Ca2+ is sequestered into carbonate minerals (see SI Appendix, Appendix A for lake data). Consequently, in the absence of stream inflows, evaporating lake brines can reach much higher phosphate concentrations. Such evaporation may occur seasonally because of wet and dry cycles. Alternatively, lake brines may desiccate in shoreline environments by evaporation on rocks wetted by wave action or evaporation in local pools.
During lake evaporation (in the absence of Ca-rich stream inflows), phosphate will accumulate in the residual brine until it precipitates with a more concentrated cation as a salt. This phosphate-limiting salt cannot be a Ca2+ or Mg2+ phase because these ions are minor in carbonate-rich brines. We can also exclude K+ because it is minor relative to Na+ in carbonate-rich lakes and only precipitates phosphate salts at extremely high concentrations (37). The remaining major cation is Na+, which implies that phosphate concentrations will increase in evaporating lake brines until the brine reaches saturation with respect to sodium phosphate salts. In addition, high phosphate concentrations would only form after sodium carbonate/bicarbonate and chloride salts had precipitated because phosphate is minor relative to both carbonate alkalinity and chloride.
To determine the maximum phosphate concentrations possible in such brines, we model solutions saturated with respect to sodium phosphate, carbonate, and chloride salts at variable temperature (0 to 50 °C) and CO2 gas pressure (log pCO2 −3.5 to 0 bars). We find that up to 3 molal phosphate occurs in equilibrium with either Na2HPO4·7H2O or Na2HPO4·2H2O salts (Fig. 3A). Relative to pure sodium phosphate solutions (Fig. 3A, red lines), phosphate concentrations in saturated mixed brines (Fig. 3A, black lines) decrease by about one-third because the additional Na+ associated with chlorides and carbonates forces Na2HPO4 to precipitate from solution. The carbonate alkalinity precipitates as either nahcolite (NaHCO3), natron (Na2CO3·10H2O), or trona (Na2CO3·NaHCO3·2H2O) depending on the pCO2, and chloride ions precipitate as halite (NaCl).
Phosphate concentrations and pH modeled in saturated, carbonate-rich lake brines. (A) The concentration of phosphate in solutions saturated with respect to sodium phosphate. The red lines indicate the solubility of pure Na2HPO4·XH2O, where XH2O refers to the hydration state (X = 2, 7, and 12). The black lines indicate the solubility of sodium phosphate in solutions saturated with respect to sodium phosphate, chloride, and carbonate salts. Solid lines are for 1 bar atmospheric pCO2, and dashed lines are for log pCO2 = −3.5 bar (the pCO2 of present-day Earth). (B) The pH of solutions saturated with respect to sodium phosphate, chloride, and carbonate salts at variable temperature and pCO2. The range of pH and temperature of these solutions encompasses that of the black lines in A.
The modeled pH of saturated phosphate brines depends on the temperature and atmospheric pCO2 (Fig. 3B). At present-day pCO2 levels, solutions are highly alkaline (pH ∼ 10), consistent with high pHs measured in modern soda lakes (38); however, in CO2-rich atmospheres on the early Earth (log pCO2 = −2 to 0) brines range from moderately alkaline (pH 9) to slightly acidic (pH 6.5) because of acidification by CO2. These are maximum pH values because the solutions are saturated with respect to carbonate alkalinity; hence, for undersaturated solutions the pH will be lower. Temperature also affects the pH because CO2 is more soluble in solutions at lower temperatures. These results provide a plausible environmental scenario for molar phosphate concentrations at moderate pH levels used in prebiotic syntheses (8).
Carbonate-Rich Lakes on the Early Earth
Carbonate-rich lakes may have been relatively common on early Earth due to strong chemical weathering of abundant, fresh volcanic rocks (39) under early Earth’s CO2-rich atmosphere (40). Weathering would release phosphate from apatites and carbonate alkalinity from other minerals, which would accumulate in closed basins (41, 42). A potential analog for such carbonate-rich lakes on the early Earth is Lonar Lake in central India, a NaHCO3-rich lake formed from an impact crater in basalt host rock (43). Lonar Lake also precipitates gaylussite and calcite salts (44), but phosphate concentrations are relatively low (∼5 μM) because algal blooms consume the phosphate (45).
A consequence of early Earth’s CO2-rich atmosphere is that it would have enhanced the weathering of hydroxyl- and fluorapatites in mafic rocks by lowering the pH of surface waters (46, 47). Apatites are more soluble at lower pH and weather more rapidly in CO2-acidified stream and rainwater, resulting in potentially high phosphate fluxes to carbonate-rich lakes on the early Earth. By modeling the equilibrium solubility of fluorapatite and hydroxyapatite in the presence of calcite buffer as a function of temperature and CO2 pressure (Fig. 4 and Methods), we find that relatively low CO2 pressures on present-day Earth (log pCO2 = −3.5) limit phosphate to ≤1 μM, which is consistent with phosphate concentrations found in most present-day rivers and surface waters. However, in CO2-rich atmospheres relevant to the early Earth (pCO2 = 0.01 to 1 bar) (35, 40), modeled phosphate concentrations are 10 to 100 times higher, which implies a much higher phosphate weathering flux on the early Earth from streams into lakes.
Modeled phosphate concentrations (log PO4) in equilibrium with fluorapatite, hydroxylapatite, and calcite at variable pCO2 and temperature relevant to the release of phosphate into streams that supply lakes. The pH is given by dashed contours at 0.5-pH intervals.
Phosphate concentrations were likely higher in prebiotic, carbonate-rich lakes because microbial phosphate sinks were absent. Modern carbonate-rich lake environments are some of the most productive ecosystems on Earth in terms of biomass turnover because of high nutrient levels (38). As a result, phosphate measured in modern carbonate-rich lakes is probably a minimum because microbes consume the phosphate and eventually deposit it in organic matter. This may explain why Lake Magadi in Africa, a surface lake with high biomass turnover, has over 10 times lower phosphate concentrations than Searles Lake (which cannot support photosynthetic microbes because it is a groundwater brine), despite the much higher carbonate alkalinity found in Lake Magadi (Fig. 1). Consequently, in the absence of microbial consumption, carbonate-rich lakes on the prebiotic Earth may have hosted higher phosphate concentrations than typically occur today.
A potential sink for soluble phosphate on the early Earth is reduced soluble iron (Fe2+), which precipitates with phosphate as the low-solubility mineral vivianite [Fe3(PO4)2·8H2O]. However, Fe2+ also precipitates as siderite (FeCO3) in carbonate-rich brines, which limits Fe2+ to low levels and increases the solubility of phosphate from vivianite, similar to solubility relations in the CaCO3–apatite system shown in Fig. 2. Furthermore, siderite is less soluble than calcite, and unlike calcite, the nucleation and growth of siderite is not inhibited by phosphate. Although siderite crystallizes relatively slowly from solution at low temperatures (48), near-equilibrium conditions occur on a timescale of hours to days, which is fast relative to inflow and evaporation processes in closed-basin lakes. This implies that Fe2+ concentrations in anoxic, phosphate- and carbonate-rich brines will be lower than Ca2+, which suggests that Ca2+, not Fe2+, would have controlled phosphate concentrations in carbonate-rich lakes on the early Earth.
Implications for Prebiotic Chemistry
Our experiments and model results show that carbonate-rich lakes on the early Earth would have accumulated phosphate at concentration and pH levels relevant to laboratory prebiotic syntheses. Molar phosphate concentrations can occur during evaporation in lake marginal pools, on rocks wetted by wave action, and in shore sediments. Drying promotes condensation reactions such as phosphorylation by removing water (49), as well as more generally facilitating polymerization reactions (50). Condensation reactions may also have been promoted by deliquescence of highly soluble evaporites (51). Furthermore, carbonate-rich lakes are rich in clay, zeolite, and silica mineral assemblages that catalyze phosphorylation reactions because of their high reactive surface areas (52). Once phosphate reacts, changing lake levels or wave action could reintroduce the reaction products to the lake, or reaction products could undergo successive wet–dry cycles.
More broadly, closed-basin lakes are ideal sites for “one-pot” organic syntheses because they accumulate and concentrate reagents via evaporation across hydrologic basins (41, 49, 53). As a result, closed-basin lakes may have accumulated organic precursors for phosphorylation, as well as condensation agents that promote phosphorylation by forming reactive intermediate
A difficulty for an origin of life in saline lakes is that high salt concentrations tend to destabilize lipid vesicles (56) and inhibit RNA oligimerization (57), but these issues are potentially resolvable. For example, lipid vesicles can stabilize in high-salt environments by binding to nucleotides and/or amino acids (58, 59). Given that concentrated prebiotic reagents and wet/dry cycles often used in the laboratory imply saline environments, more research is needed on prebiotic chemistry in salty solutions.
Recent attempts at “one-pot” syntheses have proposed closed-basin lakes as sites for the formation of amino acids, nucleotides, and lipid precursors in reaction networks involving ultraviolet light, phosphate, sulfur, and cyanide (53, 60). Our results indicate that high phosphate concentrations used in these reaction networks (8) plausibly occurred in carbonate-rich lake environments. Furthermore, the key cyanide component needed for this chemistry also preferentially accumulates in carbonate-rich lakes to make sodium ferrocyanide evaporites, which thermally decompose to sodium cyanide above 700 °C (possibly via magmatic activity or flash heating from asteroid impacts) (42, 53, 61). Concentrated sulfur needed for prebiotic syntheses may also have accumulated as sulfite ions (62). Consequently, carbonate-rich lakes accumulate a number of key reagents at high concentrations relevant to experimental prebiotic syntheses.
Conclusions
The results presented here show that carbonate-rich lakes accumulate phosphate because Ca2+ preferentially precipitates in gaylussite and/or calcite, which increases the solubility of apatites. In carbonate-rich lakes influenced by stream inflows, phosphate levels are limited to <0.1 molal because excess Ca2+ in stream water precipitates apatite above this phosphate concentration threshold. However, in the absence of stream inflows, phosphate can enrich to >1 molal levels during evaporation because phosphate concentrations exceed Ca2+ in carbonate-rich lakes. Such evaporation could occur continuously along lake margins, or during dry seasons.
Carbonate-rich lake environments were likely common on the early Earth due to chemical weathering of mafic rocks in early Earth’s CO2-rich atmosphere, and would have been relatively phosphate-rich compared to the present day because of efficient weathering of apatite minerals and the lack of microbial phosphate sinks. Furthermore, phosphate-rich brines on the early Earth would have had slightly acidic to moderately basic pH (pH 6.5 to 9) because of elevated atmospheric CO2 levels. Thus, carbonate-rich lakes are highly plausible environments for accumulating phosphate at concentration and pH levels relevant to laboratory syntheses of prebiotic organophosphate compounds. Given the central importance of phosphate in cellular processes, and that phosphate occurs at micromolar concentrations elsewhere, our results specifically point to carbonate-rich lakes as sites for prebiotic chemistry and the origin of life.
Methods
Experimental Ca2+ and Phosphate Precipitation in Carbonate-Rich Brines.
The goal of these experiments was to determine which salt phases precipitate Ca2+ and phosphate ions in phosphate- and carbonate-rich brines. To achieve this, we added gypsum (CaSO4·2H2O) to phosphate- and carbonate-rich brines prepared in the laboratory, and allowed the mixtures to react over 1 to 4 wk. The rationale behind this methodology is that the gypsum will slowly dissolve because it is sparingly soluble, gradually adding Ca2+ to solution, which approximates the slow addition of Ca2+ via inflow waters to closed-basin lakes. A potential complication to using gypsum as the Ca2+ source is that gypsum will also add
To prepare phosphate- and carbonate-rich brines, we gravimetrically added NaHCO3, Na2CO3, Na2HPO4, and NaF reagents to 150 mL of deionized water in 250-mL polyethylene bottles. We added the NaHCO3 and Na2CO3 reagents in varying proportions ranging from pure NaHCO3 to pure Na2CO3 to make nearly saturated solutions (i.e., the concentration just below the point at which salt precipitates). We determined the saturation point for each Na–HCO3–CO3 mixture at 25 °C using the THEREDA Pitzer model described in Geochemical Models. We added the Na2HPO4 reagent at concentrations ranging from 10 to 500 mmol⋅kg−1, and the NaF reagent at 0 and 10 mmol⋅kg−1. Finally, we added Ca2+ in the form of gypsum, capped the solutions, and agitated them with an orbital shaker for 1 to 4 wk.
We performed 4 series of experiments using the brine mixtures described above:
1) We varied the initial NaHCO3:Na2CO3 ratio at constant equilibration time (2 wk) and initial phosphate concentration (50 mmol⋅kg−1, the highest concentration measured in carbonate-rich lakes).
2) We varied the equilibration time at constant initial NaHCO3:Na2CO3 ratio (0.6:0.4) and initial phosphate concentration (50 mmol⋅kg−1).
3) We varied the initial phosphate concentration at constant equilibration time (2 wk) and initial NaHCO3:Na2CO3 ratio (0.6:0.4).
4) We repeated experiments 1 and 3 described above with the addition of 10 mmol⋅kg−1 F−. These experiments are motivated by relatively high F− concentration commonly found in carbonate-rich lakes (SI Appendix, Appendix B), and because F− strongly precipitates with Ca2+ and phosphate in natural systems to form fluorapatites.
Analysis of Solids after Equilibration.
After the brine/salt mixtures equilibrated, we removed the solid phases by filtering. We then removed excess brine from the filtered solids by rinsing with ethanol and dried them in air for ∼10 min. We then powdered the solid samples and analyzed them using a Bruker D8 Discover XRD from 10 to 60° 2θ. Furthermore, we analyzed the solids for Na, Ca, S, and P using ICP-OES. To prepare the solid samples for ICP-OES analysis, we first dried the samples in a vacuum oven at 60 °C overnight, and then acidified weighed aliquots of the dried samples (∼50 mg) with 1 mL of ∼2 M nitric acid (which completely dissolved the solid). The acid-dissolved samples were then diluted as needed for ICP-OES analysis.
We calculated the
The total calculated weight percent of Ca2+, Na+,
Calculation of Aqueous Species after Equilibration.
To calculate ion concentrations in the solutions after equilibration, we assumed that all of the Ca2+ had completely precipitated as solid phases; consequently, the total concentration of all other ions precipitated from solution may be determined relative to Ca2+. We also tested this assumption on a representative suite of samples and found that ∼99.9% of the Ca2+ remained in solid phases over the course of the experiments (see discussion in SI Appendix, Appendix B). For any given ion X, the concentration in solution after equilibration is given by
where subscripts indicate concentrations in the equilibrated solid, the initial, and the final solutions. We neglect F− concentrations because this ion is minor in the experimental solutions. Finally, to determine the pH, pCO2, and inorganic carbon speciation of the equilibrated solutions, we modeled the solution composition determined above in equilibrium with 100 mL of headspace gas, which is the headspace volume in our experiments, using the THEREDA Pitzer model at 25 °C (described in Geochemical Models).
Geochemical Models.
We use two approaches to model phosphate solubility at variable temperature and composition. To model solution chemistry at relatively low concentrations in Fig. 4, we use the phreeqc.dat database in the geochemical program PHREEQC (63). We supplemented phreeqc.dat with temperature-dependent equilibrium constants for fluorapatite [Ca5(PO4)3F] (64) and hydroxylapatite [Ca5(PO4)3OH] (65). To model concentrated solutions in the Na–Cl–P–CO2–H–OH system from 0 to 60 °C in Fig. 3, we developed a Pitzer model in PHREEQC using parameters from several existing models. The resulting PHREEQC database file, as well as a detailed description of the Pitzer model equations and the model fits to literature data, are given in SI Appendix, Appendix C.
For Pitzer parameters involving NaCl, NaHCO3, and Na2CO3 salts, we use Pitzer parameters and solubility products from CHEMCHAU (66), which is parameterized from 0 to 100 °C. We include NaCl, Na2CO3·7H2O, Na2CO3·H2O, NaHCO3, Na2CO3·10H2O, NaHCO3·Na2CO3·2H2O, and CO2 gas phases from CHEMCHAU. For phosphate Pitzer parameters, we use parameters from the THEREDA R-12 Pitzer database (37, 67, 68), and assume that Pitzer parameters involving phosphate are temperature-invariant. To model the temperature-dependent solubility of Na2HPO4·12H2O, Na2HPO4·7H2O, Na2HPO4·2H2O, Na2HPO4, NaH2PO4·2H2O, NaH2PO4·H2O, and NaH2PO4 solid phases, we fit literature data on the solubility of these salts to the temperature-dependent expression for equilibrium constants in PHREEQC, using the THEREDA solubility product at 25 °C as a basis. Finally, to model the dissociation constants of phosphoric acid (H3PO4) to
Data Availability.
Experimental data from this study are available in SI Appendix, Appendix B, Tables S1 and S2. The PHREEQC database file used to make Fig. 3 is given in SI Appendix, Appendix C.
Acknowledgments
We thank 2 anonymous reviewers for their constructive comments. This research was funded by the Simons Collaboration on the Origin of Life grant 511570 (to D.C.C.).
Footnotes
- ↵1To whom correspondence may be addressed. Email: toner2{at}uw.edu.
Author contributions: J.D.T. designed research; J.D.T. performed research; J.D.T. analyzed data; and J.D.T. and D.C.C. wrote the paper.
The authors declare no competing interest.
This article is a PNAS Direct Submission.
This article contains supporting information online at https://www.pnas.org/lookup/suppl/doi:10.1073/pnas.1916109117/-/DCSupplemental.
- Copyright © 2020 the Author(s). Published by PNAS.
This open access article is distributed under Creative Commons Attribution-NonCommercial-NoDerivatives License 4.0 (CC BY-NC-ND).
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- High Phosphate Concentrations in Present-Day, Carbonate-Rich Lakes
- Experiments on Phosphate Accumulation in Carbonate-Rich Brines
- Evaporative Concentration of Phosphate-Rich Brines
- Carbonate-Rich Lakes on the Early Earth
- Implications for Prebiotic Chemistry
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