Rio Febrian1, Joseph P Roddy1,2, Christine H Chang2, Clinton T Devall1, Paul J Bracher1. 1. Department of Chemistry, Saint Louis University, 3501 Laclede Avenue, St. Louis, Missouri 63103, United States. 2. Division of Chemistry & Chemical Engineering, California Institute of Technology, 1200 E. California Blvd., Pasadena, California 91125, United States.
Abstract
This article describes a method for improving 1H NMR spectra of aqueous samples containing paramagnetic metals by precipitation of metal cations with a variety of counteranions. The addition of hydroxide, phosphate, carbonate, and arsenate to solutions of transition metals such as Fe2+ and Mn2+ can reduce line broadening and improve the ability of a spectrometer to lock on the signal of deuterium. The method is most effective under strongly alkaline conditions, and care must be taken to observe whether the organic substrates undergo side reactions or are themselves removed from solution upon addition of the precipitating salts. As a demonstration of the practical value of the method, we show that NMR spectroscopy can be used to monitor the transition-metal-mediated hydrolysis of glycylglycine (Gly2).
This article describes a method for improving 1H NMR spectra of aqueous samples containing paramagnetic metals by precipitation of metal cations with a variety of counteranions. The addition of hydroxide, phosphate, carbonate, and arsenate to solutions of transition metals such as Fe2+ and Mn2+ can reduce line broadening and improve the ability of a spectrometer to lock on the signal of deuterium. The method is most effective under strongly alkaline conditions, and care must be taken to observe whether the organic substrates undergo side reactions or are themselves removed from solution upon addition of the precipitating salts. As a demonstration of the practical value of the method, we show that NMR spectroscopy can be used to monitor the transition-metal-mediated hydrolysis of glycylglycine (Gly2).
NMR spectroscopy is
one of the most powerful methods for the characterization
of organic compounds and study of organic reactions. Paramagnetic
species can render NMR spectroscopy impracticable by broadening spectral
peaks and hindering the ability of spectrometers to lock on the signal
of deuterium. In this article, we explore the precipitation of paramagnetic
cations with a variety of counteranions as a means to improve 1H NMR spectra sufficiently to measure rates of organic reactions
in water. We show that—in certain circumstances—the
removal of paramagnetic ions by these methods can decrease line broadening
in spectra without initiating side reactions or affecting the concentration
of the organic solutes present. We demonstrate this method by using
it to measure the hydrolysis of a peptide in concentrated (1 M) solutions
of various transition metals, for which direct analysis by NMR spectroscopy
would otherwise be impossible. We discuss several significant limitations
to the method, particularly its requirement for strongly alkaline
conditions and the potential for the solid phase to adsorb organic
molecules from the mother liquor.
Background
We are interested in
studying the kinetics
of reactions of biologically relevant organic compounds in water to
evaluate theories that propose roles for these molecules in the origin
of life.[1,2] In a previous study, we measured rate constants
for the hydrolysis of thioesters using 1H NMR spectroscopy
to monitor the change in concentration of reactants over time.[3] The samples in this study were relatively simple
solutions in water with a buffer salt (to maintain a constant pH and
enable pseudo-first-order kinetics) and an internal standard (to measure
accurate concentrations of the thioester). Other studies have shown
that transition metal ions can affect the reactivity of peptides and
thioesters.[4−12] Given that the prebiotic ocean was unlikely to have resembled as
clean a system as water with a mild pH buffer,[7,13] we
wished to explore the effect of various dissolved metals on reactions
of prospective prebiotic relevance.The universal dependence
of modern biology on water suggests that life originated in an aqueous
environment. Scientists disagree over the composition of the prebiotic
ocean, but it is widely assumed that several aqueous metal ions were
present. In addition to diamagnetic metals such as Na+,
K+, Mg2+, and Ca2+, paramagnetic
metals such as Fe2+, Mn2+, and Co2+ are also conjectured to have been present in Earth’s ancient
ocean.[13,14] Many theories and experiments regarding
prebiotic chemistry invoke conditions where reaction mixtures are
subjected to wet–dry cycles of hydration (e.g., by rain) and
evaporation.[15−20] The process of evaporation of a trapped body of water introduces
the potential for significantly higher concentrations of metal ions
than in the prebiotic ocean itself—presumably approaching their
limit of solubility with whatever counteranions are present in the
system.Paramagnetic ions can present a considerable challenge
to analysis
by NMR spectroscopy. The broadening of peaks in samples containing
paramagnetic species has been studied extensively.[21,22] As the magnetic susceptibility (χ) of an aqua ion increases,
the broadening of peaks in the NMR spectrum of a sample also increases.
This broadening can complicate spectra by causing peaks to overlap
that would otherwise resolve cleanly. Figure documents how increasing the concentration
of Mn2+ from 0 to 10 mM broadens the signals in 1H NMR spectra of the simple peptide Ala2, whereas further
increases in concentration make the spectra unintelligible. Millimolar
concentrations of paramagnetic ions often make it difficult for spectrometers
to attain a stable lock because of the broadening of the deuterium
signal. The broadened signal for water can overrun signals of the
analyte.[23] To monitor the kinetics of reactions
in the presence of large concentrations of paramagnetic species, a
method to remove or quench these species prior to analysis is necessary.
Figure 1
Challenges
in monitoring reactions by 1H NMR spectroscopy
with paramagnetic ions present. 1H NMR spectra of l-alanyl-l-alanine (Ala2) in 1:1 D2O/H2O with varying concentrations of MnCl2.
The increasing concentration of paramagnetic Mn2+ progressively
broadens the signals of each spectrum. As [Mn2+] increases,
the methine quartets are quickly subsumed by the broadened water peak,
whereas the structure of the methyl doublets is lost.
Challenges
in monitoring reactions by 1H NMR spectroscopy
with paramagnetic ions present. 1H NMR spectra of l-alanyl-l-alanine (Ala2) in 1:1 D2O/H2O with varying concentrations of MnCl2.
The increasing concentration of paramagnetic Mn2+ progressively
broadens the signals of each spectrum. As [Mn2+] increases,
the methine quartets are quickly subsumed by the broadened water peak,
whereas the structure of the methyl doublets is lost.Strategies to remove paramagnetic species or reduce their
influence
during analysis by NMR spectroscopy have been described in the literature.[24−26] The general methods most commonly reported are chelation and precipitation.
Ding and co-workers improved 31P NMR spectra of environmental
samples that contained paramagnetic metal ions, including Fe3+ and Mn2+, by 8-hydroquinoline-assisted precipitation.[27] In another approach, Barge et al. removed Fe2+ and Fe3+ by precipitation with hydroxide prior
to analysis by 1H NMR spectroscopy.[28] Other approaches have attempted to improve NMR spectra
of paramagnetic samples by altering the parameters of the acquisition
experiment. Although helpful for qualitative measurements, these methods
are sometimes less effective for experiments that require quantitative
accuracy, such as kinetics measurements.[29,30]
Results and Discussion
In developing a method for the
analysis of organic reactions in
water containing paramagnetic transition metals, it was clear that
any method used to prepare samples for analysis by NMR spectroscopy
should: (i) be simple, (ii) be rapid, (iii) be inexpensive, (iv) remove
enough of the paramagnetic metal to enable the instrument to lock
on the signal of deuterium, (v) remove enough of the metal such that
at least one peak in the spectrum of the substrate was resolved from
the rest of the spectrum of the reaction mixture, and (vi) not affect
the concentration of the organic substrate present in the sample.In searching for a more straightforward alternative to adding new
reagents to our samples, we first attempted to precipitate the paramagnetic
species present by the addition of a less polar solvent that was miscible
with water (e.g., dimethylsulfoxide or tetrahydrofuran). We found
that adding quantities as high as 3:1 (v/v, organic solvent/water)
did not remove enough metal to be effective. Methods such as liquid–liquid
extraction into an organic phase or evaporation of the solvent followed
by solid–liquid extraction into a deuterated organic solvent
seemed too impractical to attempt.Inspired by previous reports,[27,28] we pursued
the idea of precipitating insoluble salts of the paramagnetic metals
as a means of preparing aliquots of reaction mixtures for subsequent
analysis by NMR spectroscopy. Our primary goal was to find alternatives
to the use of hydroxide, as we knew that many substrates of presumed
prebiotic importance—similar to thioesters—hydrolyze
rapidly in strongly alkaline conditions. For instance, thioesters
are not stable at high pH. S-Methylthioacetate, the
simplest example of an alkyl thioester, has a half-life of 43 s at
pH 13 and a half-life of 7.2 min at pH 12.[3] A quick survey of the solubility product constants (Ksp) for a variety of inorganic salts of our target metals
suggested that carbonate (CO32–), phosphate
(PO43–), and arsenate (AsO43–) could be particularly effective (see Table
S1 in the Supporting Information). Seeking
to extend our previous work,[1] we selected
the transition-metal-mediated hydrolysis of peptides and thioesters
as model reactions to monitor by the method.Figure depicts
the basic procedure for the precipitation method. A stock solution
of the precipitating agent was dispensed into an aliquot of a reaction
mixture, and the resulting solid was isolated by centrifugation. The
supernate was mixed with an equal volume of deuterated water (D2O) for analysis by NMR spectroscopy. In general, the method
was able to remove enough paramagnetic metal (e.g., Fe2+ or Mn2+) from the solutions to permit the NMR spectrometer
to lock on the signal of deuterium. The analysis of a sample of 25
mM Gly2 and 20 mM MnCl2 was enabled by the addition
of a variety of salts, including K3PO4, K2CO3, Na3HAsO4, and KOH (Figure ). For the spectra
without water suppression, the broadening of the peak for water extended
into the signals for the Gly2 substrate when 20 mM MnCl2 was in solution. Addition of the salts reduced the broadening
of the water peak such that integration of the signals for Gly2 was reliable. Importantly, the removal of Mn2+ from the solutions improved the spectral resolution without changing
the concentration of the peptide analyte, which was verified from
both the ratios of the peak integrations for t-butanol
(singlet, δ = 0.95 ppm) as an internal standard against the
Gly2 peaks (Table ) and by analysis of the sample using ion-pair high-performance
liquid chromatography (IP–HPLC, see the Supporting Information). Consistent with the idea that the
solid precipitate contained the paramagnetic metal that was previously
in solution, a significant reduction in paramagnetic broadening was
also observed in a sample to which we added Chelex, a metal–chelating
solid resin, rather than a precipitating anion.
Figure 2
Schematic summary of
the precipitation method. A schematic representation
of the procedure used to prepare samples for analysis by NMR spectroscopy.
Figure 3
Precipitation of Mn2+ from a sample of Gly2 by a variety of counteranions. 1H NMR spectra,
(A) without
and (B) with water suppression, of 25 mM Gly2 and 20 mM
Mn2+ following (from top-to-bottom) the addition of: no
precipitating anion, phosphate, carbonate, arsenate, hydroxide, and
Chelex resin.
Table 1
Comparison of 1H
NMR Spectral Integration
Following Treatment of a Sample Containing 25 mM Gly2 and
20 mM Mn2+a
sample
downfield peak integration (A)
upfield peak integration (B)
sum of Gly2 integration
full
width half maximum (Hz)
no
salt (control)
N/A
N/A
N/A
334.67
K3PO4 added
1.01
1.08
2.09
4.03
K2CO3 added
0.58
0.20
0.78
7.69
Na3HAsO4 added
0.58
0.63
1.21
5.52
KOH added
0.70
0.85
1.55
4.94
Chelex added
N/A
N/A
N/A
51.88
The spectrum of the nonprecipitated
control sample could not be integrated because of catastrophic line
broadening.
Schematic summary of
the precipitation method. A schematic representation
of the procedure used to prepare samples for analysis by NMR spectroscopy.Precipitation of Mn2+ from a sample of Gly2 by a variety of counteranions. 1H NMR spectra,
(A) without
and (B) with water suppression, of 25 mM Gly2 and 20 mM
Mn2+ following (from top-to-bottom) the addition of: no
precipitating anion, phosphate, carbonate, arsenate, hydroxide, and
Chelex resin.The spectrum of the nonprecipitated
control sample could not be integrated because of catastrophic line
broadening.To construct
a quantitative evaluation of the effectiveness of
phosphate as a precipitating agent, we screened its use against a
variety of paramagnetic metals. In these experiments, 250 μL
of 100 mM K3PO4 was added to 250 μL aliquots
of 25 mM Gly2 with 20 mM MnCl2, CuCl2, FeCl2, FeCl3, CoCl2, or NiCl2. The resulting NMR spectra appear in Figure S2 in the Supporting Information. We used inductively coupled
plasma–optical emission spectroscopy (ICP–OES) to measure
the concentration of the paramagnetic metals in solution both before
and after precipitation. In general, the samples that had lower remaining
concentrations of metals produced better spectra (e.g., Mn2+ and Co2+) than the samples that had larger residual concentrations
of metal (e.g., Fe3+). This observation is consistent with
both Mn3(PO4)2 and Co3(PO4)2 having Ksp values over 10 orders of magnitude lower that the Ksp value of FePO4.NMR spectra of the
same samples with water suppression made it
evident that the method is not without its faults. Some of the integration
ratios between the peptide and t-BuOH were thrown
off, suggesting that the solid phase might also contain some of the
peptide substrate and/or the internal standard used to monitor the
concentration of substrate present in solution. This problem was particularly
evident for the Chelex resin. We assume that the hydrophobic resin—a
copolymer of styrene and divinylbenzene-bearing iminodiacetic acid
groups—can bind nonspecifically to organic substrates, removing
an unpredictable amount of these compounds from the sample.[31]Keeping in mind the particular sensitivity
of thioester substrates
to strongly basic conditions, we explored the use of salts of the
same counteranions as mentioned previously but protonated (e.g., KH2PO4 and K2HPO4 rather than
K3PO4) so that they would not render the samples
as alkaline, following the precipitation reaction. In these cases,
at lower values of pH, the precipitation reactions were not sufficient
to enable a deuterium lock on the spectrometer, and no sensible spectra
could be obtained. These results are consistent with reports of higher Ksp values for metal salts of basic anions in
increasingly acidic solutions.[32,33]We treated a
mixture of 25 mM Gly2 + 28 mM MnCl2 with increasing
concentrations of K3PO4 to assess the effects
on the metal removed. The results summarized
in Table S7 and Figure S4 showed that increasing the concentration of the phosphate
stock from 10 to 100 mM resulted in a reduction of the concentration
of Mn2+ remaining in the precipitated sample from 14 mM
(at pH 6, giving a poor-quality spectrum) to 0.4 mM (at pH 12, giving
a spectrum that could be integrated). Increasing the equivalents of
precipitating ions to the metal removes an increasing amount of metal
but comes with the cost of raising the pH of the precipitated solution.Furthermore, we treated a mixture of 25 mM Gly2 + 28
mM MnCl2 with 100 mM of K3PO4, K2HPO4, or KH2PO4 to assess
the effects of pH on the metal removed. The results are summarized
in Table S6 and Figure S3. The pH of the final precipitated solutions were 12, 8,
and 5, respectively. The final concentrations of Mn2+ were
0.4, 1.2, and 22.3 mM, respectively. Thus, for equal concentrations
of phosphates, increasingly alkaline conditions favored removal of
more metal and significantly improved NMR spectra.These results
constitute a major limitation of the method: some Ksp values of the paramagnetic salts are not
sufficiently low to remove enough of the paramagnetic cation from
solution to enable analysis by NMR spectroscopy. The limitation becomes
a greater challenge as the pH of the solution becomes increasingly
acidic. We found it impossible to use the method to reliably analyze
reactions of thioesters because (i) at pH < 12, the precipitation
reaction did not remove enough of the paramagnetic metal from solution
and (ii) at pH > 12, although we could obtain better spectra, the
thioester hydrolyzed significantly during the analysis. Figures S10
and S11 in the Supporting Information show
that acetic acid (δ = 1.5–2.0 ppm)—the hydrolysis
product of S-methyl thioacetate (SMTA)—forms
immediately, following the addition of the alkaline precipitating
salts. These observations are consistent with SMTA’s half-life
of 7.2 min at pH 12.[3]For samples
tolerant of base, the improvement of NMR spectra can
be quite compelling. Figure demonstrates the improvement of the 1H NMR spectrum
of Ala2 obtained when 20 mM of Mn2+ is removed
by precipitation with potassium phosphate. Here, the Ala2 is stable to the strongly basic conditions required of the precipitation
reaction (we see no new peak for free alanine that would be the product
of hydrolysis). Indeed, this method is especially suitable for qualitative
characterization where there are no concerns if the precipitation
method removes a fraction of the organic compound(s) present from
the solution. Of course, we sought to develop a method that would
enable the measurement of reaction kinetics with quantitative accuracy,
and we found our method to be suitable for monitoring reactions with
organic substrates tolerant of basic conditions on short time scales,
such as peptides.[5]
Figure 4
1H NMR spectra
of Ala2 with Mn2+ improved by precipitation.
Demonstration of how precipitation of
a paramagnetic metal from a sample can improve the resolution of an
NMR spectrum of an organic compound in water. Top: spectrum of 50
mM l-alanyl-l-alanine (Ala2) with 20
mM Mn2+ in 1 M HCl. Bottom: spectrum of the same sample
following the addition of an equal volume of 1.5 M K3PO4 to precipitate most of the metal present.
1H NMR spectra
of Ala2 with Mn2+ improved by precipitation.
Demonstration of how precipitation of
a paramagnetic metal from a sample can improve the resolution of an
NMR spectrum of an organic compound in water. Top: spectrum of 50
mM l-alanyl-l-alanine (Ala2) with 20
mM Mn2+ in 1 M HCl. Bottom: spectrum of the same sample
following the addition of an equal volume of 1.5 M K3PO4 to precipitate most of the metal present.Figure summarizes
how the method was used to measure rate constants for the hydrolysis
of glycylglycine (Gly2) in aqueous 1 M HCl with 1 M FeCl2, 1 M MnCl2, and no transition metal. As the two
methylene signals for Gly2 gradually recede at longer reaction
times, a single peak for glycine (Gly) gradually appears. From the
integration values of these peaks, we constructed a linear plot corresponding
to pseudo-first-order kinetics, from which we obtained observed rate
constants for hydrolysis. The observed pseudo-first-order rate constant, kobs, is equal to the slope of the best-fit line.
Gly2 hydrolyzes more quickly in both FeCl2 or
MnCl2 solutions than in the control sample, where no additional
metal is present. The measured rate constants were 0.016, 0.019, and
0.019 h–1 for the standard, FeCl2, and
MnCl2 samples, respectively.
Figure 5
Kinetics of the hydrolysis
of Gly2 in the presence of
Mn2+ and Fe2+. (A) Hydrolysis of 50 mM Gly2 in 1 M HCl at 70 °C with no salt, 1 M Fe2+, and 1 M Mn2+. 1H NMR peak assignments of
the starting materials and products are indicated with red arrows.
(B) 1H NMR spectra for monitoring the Mn2+ reaction.
Aliquots were sampled at timed intervals and treated with K3PO4 to precipitate the paramagnetic metal prior to collection
of each spectrum. (C) Plots demonstrating the reactions are governed
by pseudo-first-order kinetics when [H+] and [M] ≫ [Gly2].
Kinetics of the hydrolysis
of Gly2 in the presence of
Mn2+ and Fe2+. (A) Hydrolysis of 50 mM Gly2 in 1 M HCl at 70 °C with no salt, 1 M Fe2+, and 1 M Mn2+. 1H NMR peak assignments of
the starting materials and products are indicated with red arrows.
(B) 1H NMR spectra for monitoring the Mn2+ reaction.
Aliquots were sampled at timed intervals and treated with K3PO4 to precipitate the paramagnetic metal prior to collection
of each spectrum. (C) Plots demonstrating the reactions are governed
by pseudo-first-order kinetics when [H+] and [M] ≫ [Gly2].
Guidance
to the Reader
This method for removing paramagnetic
metals to enable NMR spectroscopy functions best under strongly alkaline
conditions where the Ksp values for the
metal salts are favorably low. At lower values of pH, enough metal
persists in the supernate to broaden peaks in the NMR spectra. At
high pH, reactions such as hydrolysis might be more likely to occur.
Thus, this precipitation method tends to work best for substrates
that are not sensitive to high pH. For applications with substrates
that are sensitive to high pH, the use of Chelex can improve spectra
but may be accompanied by loss of quantitative precision, as the Chelex
resin appears to remove organic substances in addition to the metals.Although effective in removing Fe2+, Co2+, and Mn2+, we observed some limitations to our method
when it is applied to samples with Fe3+ and Ni2+ (see Figure S2 in the Supporting Information). Last, we note that HPLC, including IPC, is an alternative method
for monitoring the same peptide reactions studied here.[11]In many systems, detection by UV–vis
absorption or fluorescence
emission would be possible in the presence of paramagnetic metals.
UV–vis spectroscopy has been used to measure the rates of reactions
of thioesters, which are better chromophores than glycyl peptides.[6,34] Relative to these alternatives, the precipitation method described
here could be preferable when (i) researchers lack access to a reliable
HPLC instrument, (ii) the analytes lack chromophores, and (iii) the
analyte is compatible with the alkaline conditions required for precipitation.
Conclusions
We report a method for collecting NMR spectra
of organic compounds
and monitoring their reactions by precipitating any transition metals
present prior to analysis. This method for the removal of metals ensures
that the presence of paramagnetic metals does not broaden peaks in
the spectra. The principal advantages of our system are that it: (i)
removes paramagnetic ions, (ii) permits complex mixtures that absorb
all over the UV–vis spectrum, (iii) permits the NMR instrument
to lock on the deuterated solvent, (iv) allows higher spectral resolution
for 1H NMR, and (v) does not add new organic species that
could muddle the NMR spectra. Future efforts to identify precipitating
anions that function at less alkaline values of pH could lead to a
more versatile method.
Experimental Section
Standard Procedure for
Sample Preparation
A reaction
mixture was prepared for analysis by vortex mixing a vial with a 5
mL solution of known concentration (5, 10, 20 mM, or 1 M) of a metal
chloride [metal = manganese(II), copper(II), iron(II), iron(III),
nickel(II), and cobalt(II)], 10 mM of internal standard (t-BuOH), and 50 mM of analyte (a thioester or a peptide) in deionized
water. Each standard sample for NMR spectroscopy was prepared by vortex
mixing a 125 μL aliquot of the reaction mixture with 375 μL
D2O in an NMR tube. Each precipitation sample was prepared
by mixing 250 μL of the supernatant of the precipitated mixture
and 250 μL D2O. The precipitated mixture contains
a 250 μL aliquot of the reaction mixture with 250 μL of
the precipitating salt (KOH, K2CO3, or K3PO4) in excess concentration (e.g., 100 mM salt
for 20 mM metal samples, 1.5 M salt for 1 M metal samples) relative
to the metal ion concentration (or, in the case of Chelex, ∼2
g of the resin) in a microcentrifuge tube. Table S3 in the Supporting Information contains a summary of
precipitation experiments we conducted.
General Conditions for
Kinetics Experiments
The reaction
mixtures generally contained the peptide or thioester substrate, a
soluble salt of a transition metal, hydrochloric acid, and water as
the solvent. Aliquots of these mixtures were drawn at timed intervals
and diluted with an equal volume of a sufficiently concentrated solution
of the precipitating anion (CO32–, PO43–, or AsO43–) in D2O. Thus, the reactions were run in pure H2O, but the samples on which NMR spectra were collected had ∼1:1
H2O/D2O as the solvent.
NMR Spectroscopy
Samples were analyzed on a Bruker
(Billerica, Massachusetts) Avance III 400 MHz NMR spectrometer with
16 scans and a recycle delay (d1) of 15 s, which is greater than 7
times the T1 relaxation time of the methylene
protons of linear glycine peptides under the conditions of the analysis.[1] All spectra were collected using a standard 1-D 1H NMR and a 1-D excitation sculpting pulse programs (specifically,
“zg30” and “zgesgp” on Bruker’s
TopSpin 3.2 software). All spectral data were processed with MestreNova
software, version 11.0.3.
Kinetics of Hydrolysis of Gly2
In 20 mL
scintillation vials, 10 mL of aqueous solutions were prepared with
0.1 M Gly2, 1.0 M HCl, and one among 1 M MnCl2, 1 M FeCl3, or no metal (as a control). The reaction
mixtures were stirred at 70 °C for the duration of the experiment.
At intervals of 8–12 h, a 250 μL aliquot was removed
from each reaction and immediately subjected to precipitation by the
addition of 250 μL of 1.5 M K3PO4 in water.
After the solid precipitate was spun down by centrifugation at 12 000
rpm (13 500g) for 2 min, 250 μL of the
liquid supernate was mixed with 250 μL of D2O in
a standard 5 mm NMR tube for analysis by 1H NMR spectroscopy
at 400 MHz. Each reaction mixture was sampled at 5 time points, and
the relative ratio of the reactant to the hydrolyzed product was determined
and used to construct a plot of −ln([Gly2]/[Gly2]0) versus time. From
this plot, the rate constant (k) is derived by calculating
the slope of the best-fit line and dividing by the concentration of
acid and salt (here, 1 M for both), according to the integrated pseudo-first-order
rate law, as shown in eq S4 of the Supporting Information.
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