Yufei Wang‡
,
Natalie T. Rice‡,
Julia G. Knapp‡
,
Sara L. Adelman
,
Kelly E. Aldrich,
Brian T. Arko,
Manuel L. Besmer
,
J. Connor Gilhula
,
Christopher J. Godt,
Jan Klouda,
Stosh A. Kozimor
*,
Brian N. Long,
Molly M. MacInnes,
Travis Marshall-Roth
,
Alexandra L. Nagelski and
Ida D. Piedmonte
Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA. E-mail: stosh@lanl.gov
First published on 14th April 2025
Advancing understanding of aqueous chemistry for plutonium is important because it impacts energy production, environmental management, and national security. Unfortunately, plutonium's aqueous chemistry remains poorly characterized. We addressed this problem by characterizing Pu(IV) redox and coordination chemistry in aqueous solutions as a function of hydrochloric acid concentration using X-ray absorption spectroscopy, ultraviolet-visible near-infrared spectroscopy, and electrochemistry. The impact of Pu–Cl vs. Pu–OH2O bonding was correlated with the stability of different plutonium oxidation states. We discovered that anionic Cl1− ligands stabilized electron-deficient Pu(IV) over Pu(III) and neutral H2O ligands stabilized Pu(III) over Pu(IV). These findings offer a way to control plutonium electron transfer chemistry and imply that selective stabilization of Pu(IV) or Pu(III) may be achieved through tuning the electron donating ability of the ligand. Overall, this work advances predictive capabilities for aqueous plutonium chemistry, particularly within nuclear application spaces.
One aqueous matrix ubiquitously used in the nuclear industry is hydrochloric acid, HCl(aq). Surprisingly, many fundamental aspects about plutonium in this matrix are not well characterized. It is known that plutonium's coordination chemistry in HCl(aq) is defined by the plutonium oxidation state. However, plutonium can adopt four different oxidation states in aqueous media at the same time: Pu(III), Pu(IV), Pu(V) and Pu(VI).13,29 It is also unclear what chemical factors influence plutonium oxidation state stability within HCl(aq) solutions. These attributes engender plutonium with diverse reaction chemistry in HCl(aq) solutions that can be difficult to control and predict, e.g., disproportionation reactions, comproportionation reactions, hydrolysis, colloid formation, to name a few. As a result, there is dogma associated with HCl(aq) solutions that contain plutonium. When things go awry, many variables get blamed blindly (such as temperature, the concentration of plutonium in solution, radiolysis, photolysis, etc.). Better correlating chemical attributes with plutonium electron transfer chemistry would provide clarity and enable avoidance of deleterious side reactions accessible to plutonium in HCl(aq) solutions.
Motivated by the need to reduce the aforementioned knowledge gap, we set out to better define how Pu(IV) coordination chemistry and electron transfer reactivity varied in HCl(aq) solutions as a function of one important chemical factor, ionic strength [H1+(aq) and Cl1−(aq) concentrations]. The complexity of this system was outlined in Scheme 1. The Pu4+(aq) cation can undergo reduction to generate Pu3+(aq). Oxidation and Pu–O bond formation reactions can also occur to generate PuO2n+(aq) (n = 1, 2). In HCl(aq) solutions, plutonium can undergo complexation by neutral H2O and anionic Cl1− ligands. There are also numerous coordination numbers and geometries accessible to Pu4+(aq), Pu3+(aq), and PuO2n+(aq) in HCl(aq).30,31 To provide insight on this topic, we turned to four complimentary analytical methods that are exceptionally suited for speciation studies in aqueous media, namely cyclic voltammetry, X-ray absorption near edge spectroscopy (XANES), extended X-ray absorption fine structure (EXAFS), and Ultraviolet–Visible-Near Infrared (UV-Vis-NIR) spectroscopy. This technique quartet enabled electron transfer reactions, metal oxidation states, ligand identities, coordination numbers, and bond distances accessible to plutonium in HCl(aq) solutions to be rigorously defined.
Our results suggested that Pu(IV)–aquo ions [Pu(H2O)x4+] dominated the speciation profile in dilute HCl(aq) concentrations (≤3 M). The data also showed that plutonium speciation shifted to anionic chloride complexes (PuCly4−y) when HCl(aq) concentrations were high (>8 M). It was surprising to discover that conversion of the homoleptic Pu(H2O)x4+ aquo complex to the homoleptic PuCly4−y chloride complex occurred rather abruptly and over a relatively small HCl(aq) concentration range (∼4.5 to 8 M). Heteroleptic Pu(IV)-aquochloride complexes [PuCly(H2O)x4−y] were the dominant species present in solution over this HCl(aq) concentration regime. Evaluating the X-ray absorption speciation results alongside the electrochemical data provided additional insight regarding the Cl1− for H2O ligand substitution reaction. This analysis suggested that the plutonium speciation profile shifted suddenly from being dominated by Cl1− to dominated by H2O when the HCl(aq) content crossed the 5.5 M concentration value. Changing the plutonium ligand environment from being homoleptic in Cl1− to homoleptic in H2O also impacted the half-wave potential (E½) for the reversible Pu(IV) + e1− ⇌ Pu(III) (Pu4+/3+) one-electron transfer reaction. For example, the E½ potential was 0.572(2) V for PuCly4−y, 0.744(2) V for Pu(H2O)x4+, and at intermediate values for heteroleptic PuCly(H2O)x4−y species. No additional redox events, e.g., oxidation to PuO2n+(aq) or reduction of Pu2+(aq), were observed electrochemically over the surveyed potential window (ca. 0.4 to 1 V). We interpreted these data as suggesting that anionic Cl1− ligands stabilized more electron-deficient Pu4+(aq) over Pu3+(aq) and neutral H2O ligands stabilized more electron-rich Pu3+(aq) over Pu4+(aq). The data indicated that Pu4+(aq) was a reasonably strong oxidant and able to generate Pu3+(aq) in solutions over the sampled HCl(aq) concentration range. It also highlighted Pu4+(aq) stability toward losing electrons and generating PuO2n+(aq). These observations have general implications on plutonium behavior within aqueous solutions and may help explain unexpected plutonium fractionation that occurs during industrial-scale processing (e.g., using solvent extraction or ion exchange chromatography), while conducting small-scale radioanalytical separations, and in regard to the fate and transport of plutonium through the environment.
The UV-Vis-NIR spectrum collected in dilute HCl(aq) (1 M) was consistent with other spectra from Pu(IV) collected in dilute acid and reported previously.36,37 Most notable were the intense cluster of peaks centered at 15385 cm−1 (650 nm) and the sharp absorbance peak at 21
277 cm−1 (470 nm). Our interpretation of these data agreed with the aforementioned Pu L3-edge XANES spectrum and we concluded that Pu(IV) was the major species present in solution. In addition to these Pu(IV) absorption peaks were small features at 12
048 cm−1 (830 nm) and 16
639 cm−1 (601 nm) that indicated PuO22+ and Pu(III) were also present in small quantities. Reproducing the sample preparation procedure repeatedly generated PuO22+(aq) and Pu3+(aq) in the dilute HCl(aq) matrix. We estimated the amount of PuO22+ and Pu(III) to be at 5% and 10% of the total plutonium in the samples, respectively. Note, there was a high uncertainty associated with these estimates because the extinction coefficients (ε) used to quantify the relative plutonium concentrations were matrix mismatched, meaning that ε values were determined in HClO4(aq) (2 M)8 and the measurements were made in HCl(aq) (1 M). It was unclear what caused PuO22+(aq) and Pu3+(aq) to form in the dilute HCl(aq) (1 M) solution. We speculated that the redox reaction occurred during sample preparation and assume that the combination of heating the parent Pu4+(aq) stock solution to dryness for 12 hours, followed by dissolution in dilute HCl(aq) (1 M), forced disproportionation of Pu4+(aq) to make PuO22+(aq) and Pu3+(aq).
Increasing the HCl(aq) concentration to be >1 M had marked impact on the plutonium spectra. Most importantly, features associated with PuO22+ and Pu(III) were not detected. We also observed evidence for Cl1− complexation of Pu(IV) when the HCl(aq) was ≥5.5 M in three notable ways. The first change was that increasing the HCl(aq) concentration beyond 3 M caused the cluster of peaks centered at 15385 cm−1 (650 nm) to spread out. Their intensities also changed, such that the low energy absorbance peaks gained intensity relative to the high energy peaks. The second notable change was that a shoulder emerged near 14
500 cm−1 (670 nm); see the 5.5 M HCl(aq) spectrum. This feature gained intensity and shifted bathochromically (red) with increasing HCl(aq) content. The third notable observation was that the sharp peak at 21
277 cm−1 (470 nm) decreased in intensity and was swallowed by a broad absorption feature. This absorption band commenced near 19
000 cm−1 (526 nm) and gained intensity with increased HCl(aq) concentration. Our observations align well with previously reported UV-Vis data in HCl(aq) matrices.37–40
Taken as a whole, the optical and XANES measurements complemented one another. Both characterization techniques confirmed Pu(IV) was the dominant species present in each sample. The UV-Vis-NIR experiments enabled identification of PuO2n+(aq) (n = 1, 2) and Pu3+(aq) contaminants present in solution at quantities below the XANES detection limit (typically estimated at <10% of the total plutonium content in the sample). The Pu L3-edge XANES studies enabled us to conclude that the UV-Vis-NIR spectra obtained in 5.5, 8, and 11 M were characteristic of Pu(IV) dissolved in these higher concentration HCl(aq) solutions. It can be difficult to assign plutonium oxidation states based on UV-Vis-NIR data in concentrated HCl(aq) solutions because Cl1− ligands bind Pu4+(aq), displace neutral H2O, and alter the UV-Vis-NIR spectra. In this regard, the optical data in Fig. 2 provide Pu4+(aq) UV-Vis-NIR reference spectra paired with precise speciation profiles that can be used by those manipulating plutonium in HCl(aq) solutions in the future. This X-ray absorption and UV-Vis-NIR spectroscopy combination is absent from the literature at this time, to the best of our knowledge.
The impact of increasing the HCl(aq) concentration (1 to 11 M) on the Pu L3-edge EXAFS data was also evident in the Fourier transforms for the k3-weighted spectra (Fig. 4). In dilute HCl(aq), there was a single symmetric feature just below 2 Å. Increasing the HCl(aq) concentration to 5.5 M caused the feature to change: it broadened, became asymmetric, and its intensity decreased. In 11 M HCl(aq), the feature gained intensity, sharpened, and became symmetric again. Crossing the entire series from 1 to 11 M shifted the peak maximum to longer distances and increased R + δ from ca. 1.9 Å in 1 M HCl(aq) to 2.2 Å in 11 M HCl(aq) (R is the scattering pathway distance and δ is the phase-shift).
Qualitatively, we interpreted these data as follows. Plutonium speciation was dominated by homoleptic aquo tetracations, Pu(H2O)x4+, at low HCl(aq) concentrations (e.g., 1 M). The resulting single shell of H2O ligands manifested as a single scattering peak in the Fourier transform for the k3-weighted spectrum. Heteroleptic aquochloride species, PuCly(H2O)x4−y, existed at intermediate HCl(aq) concentrations (e.g., 5.5 M). Here, the plutonium primary coordination sphere contained H2O ligands with short Pu–OH2O distances and Cl1− ligands with longer Pu–Cl bond distances. The presence of these two coordination environments enabled two distinct scattering pathways (Pu → OH2O and Pu → Cl) that manifested as a broad asymmetric feature in the Fourier transform for the k3-weighted spectra. Moving to concentrated HCl(aq) (11 M) solutions increased the Cl1−(aq) content to the point that Cl1−(aq) outcompeted H2O for Pu4+(aq) complexation. Hence, under these conditions, homoleptic Cl1−(aq) coordination compounds of the general formula PuCly4−y dominated the Pu4+(aq) speciation profile. Having only Cl1−(aq) ligands in the primary coordination sphere manifested as a sharp single peak in the Fourier transform of the k3-weighted spectra that was reminiscent of the Pu(H2O)x4+ spectrum obtained at low HCl(aq) concentrations (e.g., 1 M). The major difference between the spectra obtained from Pu(H2O)x4+ vs. PuCly4−y was associated with the intensity (peak area) and R + δ value. The spectrum from PuCly4−y had a smaller intensity and larger R + δ value. This difference suggested that (1) the overall coordination number for PuCly4−y was smaller than that of Pu(H2O)x4+ – fewer Cl1− ligands bound to PuCly4−y than H2O ligands bound to Pu(H2O)x4+ – and (2) the bond distance between Pu(IV) and anionic Cl1− was longer than Pu(IV) bound to neutral H2O.
A more quantitative evaluation of the Pu L3-edge Fourier transforms of the k3-weighted spectra employed conventional shell-by-shell fitting methods.41–43 Those models were consistent with the qualitative interpretation described above. The energy ranges over which usable data were obtained spanned from ca. 3 to 11 Å−1, which limited the resolution in R-space to 0.2 Å (resolution = π/2Δk). Care was taken to constrain our models so that a reasonable number of variables were used, which protected against overparameterizing the fit (typically 75% of the maximum number of free variables allowed for the fitted region). Atomic coordinates from Pu(H2O)93+ and PuCl62− were used to calculate scattering pathways using FEFF8.44–46
The dilute HCl(aq) (1 M) data were fitted using a single scattering pathway associated with a shell of H2O ligands bound by Pu(IV). The obtained model returned 9(1) H2O ligands in the Pu(IV) inner coordination sphere at a Pu–OH2O distance of 2.37(11) Å. The parameters associated with this fit converged to reasonable values with acceptable error bars (Table 1). The measured Pu–O bond distance was consistent with our interpretation of the Pu L3-edge XANES data and suggested that the plutonium oxidation state was +4. For example, subtracting the 8-coordinate Pu(IV) ionic radius (0.96 Å)47 from our Pu–OH2O distance gave a value of 1.41 Å. This value was bracketed by the calculated (1.67 Å) and crystallographically measured H2O ionic radii (1.38 Å).48 The Pu–OH2O distance was shorter than the 2.476(2) and 2.574(3) Å bond distances determined for trivalent Pu(H2O)93+ aquo ion using single crystal X-ray diffraction, which was consistent with the 0.14 Å difference in Pu(IV) vs. Pu(III) ionic radii.45 Including a Pu → Cl1− scattering pathway did not significantly improve our model; hence, it was not included in our final fit. Our coordination numbers – and interpretation that Pu(H2O)9±14+ was the dominant species in solution – were in good agreement with other EXAFS analyses conducted in dilute HCl(aq) solutions. For example, Conradson and coworkers used EXAFS to determine that in dilute HCl(aq) (1.4 M) solutions Pu4+(aq) had a small number of Cl1− ligands (0.9) and that the rest of the coordination sphere was occupied by H2O ligands [Pu–OH2O = 2.39 Å].33
Pu HCl(aq) Solutions | |||||
---|---|---|---|---|---|
1 M HCl(aq) | 3 M HCl(aq) | 5.5 M HCl(aq) | 8 M HCl(aq) | 11 M HCl(aq) | |
O coordination number | 9(1) | 10(1) | 6(1) | 3(1) | — |
σ2 (O) | 0.009(2) | 0.007(2) | 0.007 | 0.007 | — |
An–O | 2.37(11) | 2.37(10) | 2.33(14) | 2.30(18) | — |
Cl coordination number | — | — | 3(1) | 5(1) | 6(1) |
σ2 (Cl) | — | — | 0.006 | 0.006 | 0.006(1) |
An–Cl | — | — | 2.598(6) | 2.588(4) | 2.594(3) |
Pu coordination number | — | — | — | — | — |
σ2 (Pu) | — | — | — | — | — |
S02 | 0.9 | 0.9 | 0.9 | 0.9 | 0.9 |
E° | 0.21 ± 0.97 | 0.3 ± 1.0 | −2.73 | −3.5 | 2.9 ± 0.9 |
Total variables used | 4 | 4 | 4 | 4 | 4 |
Independent variables available for the fitting range | 7.97 | 7.42 | 7.72 | 8.04 | 8.81 |
Reduced χ2 | 6049.24 | 5626.01 | 2418.60 | 2228.83 | 637.6129 |
R-Factor | 0.012 | 0.0092 | 0.0072 | 0.011 | 0.010 |
Our data from 3 M HCl(aq) solutions were also best modeled as having only H2O ligands in the inner Pu(IV) coordination sphere. The fit showed 10(1) H2O ligands with a Pu–OH2O distance of 2.37(10) Å. Incorporating a Pu → Cl scattering pathway did not provide a suitable model. The H2O coordination number and Pu–OH2O bond distance were statistically equivalent to that observed in 1 M HCl(aq) and discussed above. We interpreted these data as suggesting that the dominant Pu4+(aq) species present in dilute HCl(aq) (3 M) had an average stoichiometry of Pu(H2O)10±14+ and that the Pu(IV) aquo ion persisted in solution when HCl(aq) concentrations were between 1 and 3 M.
The Pu L3-edge EXAFS data from concentrated HCl(aq) (11 M) solutions were modeled using a Pu → Cl single scattering pathway. The obtained model returned 6(1) chlorides and a 2.594(3) Å Pu–Cl distance. Attempts to include a Pu → H2O scattering pathway into the model failed to converge. This Pu–Cl distance matched the average bond distance determined for PuCl62− using single crystal X-ray diffractometry (2.59 Å).46 Both of these distances were slightly shorter than the sum (2.67 Å) of the Pu(IV) 6-coordinate (0.86 Å) and the Cl1− (1.81 Å) ionic radii. Our Pu–Cl distance in HCl(aq) (11 M) was also in good agreement with other Pu–Cl bond distances determined in the solution phase by EXAFS, e.g., solution phase Pu–Cl distances of 2.63 Å and 2.61 Å have been reported previously.33 Hence, we concluded the dominant Pu4+(aq) species present in concentrated HCl(aq) (11 M) had an average stoichiometry of PuCl6±1(2±1)−.
Fitting the Pu L3-edge EXAFS from plutonium samples dissolved in intermediate concentrations of HCl(aq) (5.5 and 8 M) suggested both Cl1− and H2O ligands were bound to Pu(IV). Modeling data obtained from the 5.5 M HCl(aq) solution showed Pu(IV) was complexed by 6(1) H2O ligands [Pu–OH2O = 2.33(14) Å] and 3(1) Cl1− ligands [Pu–Cl = 2.598(6) Å]. Increasing the HCl(aq) concentration to 8 M decreased the H2O coordination number and increased the Cl1− coordination number: 3(1) H2O ligands [Pu–OH2O = 2.30(18) Å] and 5(1) Cl1− ligands [Pu–Cl = 2.588(4) Å]. We interpreted these data as showing that the dominant species present in 5.5 M HCl(aq) had an average chemical formula of PuCl3±1(H2O)6±1(1±1)+ and a charge that ranged from being neutral to dicationic, based on the uncertainty associated with the Cl1− coordination number. In 8 M HCl(aq), the dominant species in solution had an average chemical formula of PuCl5±1(H2O)3±1(1±1)− and a charge that ranged from being neutral to anionic.
In summary, the Pu L3-edge EXAFS experiments demonstrated that complexation of Pu4+(aq) in aqueous solutions could be controlled by altering the HCl(aq) concentration. The Pu4+(aq) speciation was dominated by the Pu4+-aquo ion in dilute HCl(aq) (between 1 and 3 M). Heteroleptic aquochloride species, PuCly(H2O)x4−y, were detected at intermediate HCl(aq) concentrations (between 4.5 and 8 M). Homoleptic Pu(IV)-chloride complexes, corresponding to PuCl6±1(2±1)−, were observed in concentrated HCl(aq) solutions (11 M). All recorded XANES, UV-Vis-NIR, and EXAFS data were self-consistent with the reduction potentials and Cl1− coordination numbers determined using electrochemical methods (vide infra).
Pu4+(aq) + e1− ⇌ Pu3+(aq) | (1) |
Closer inspection of the voltammograms obtained in HCl(aq) revealed how peak current (ip), anodic and cathodic peak separation (ΔEp), and the half-wave potentials (E½) varied as a function of scan rate and HCl(aq) concentration. These variations, in turn, informed on how changing the HCl(aq) concentration impacted plutonium speciation.
The influence of scan rate on peak currents (ip) was depicted in Fig. 6. This figure showed that ip varied with scan rate and ranged from ∼0.03 mA at a scan rate of 0.01 V s−1 to 0.6 mA at a scan rate of 10 V s−1. Current passed for the anodic wave (ipa) was nearly equivalent in magnitude to that for the cathodic wave (ipc) for a given HCl(aq) concentration and scan rate, i.e., the ratio of ipa/ipc was near one (see ESI†). We interpreted these data as indicating reversibility of the anodic, Pu(III) → e1− + Pu(IV), and cathodic, Pu(IV) + e1− → Pu(III), electron transfer events. This suggested that the number of electrons associated with the Pu4+(aq) reduction was equivalent to that of the Pu3+(aq) oxidation under all examined experimental conditions and that the primary coordination environment for Pu(IV) was similar to Pu(III) on the electrochemical time scale in HCl(aq).
Electrochemical reversibility suggested that the Pu(III) coordination environment was equivalent to that of Pu(IV) on the cyclicvoltammographic timescale in all HCl(aq) solutions tested. This observation was anticipated in dilute HCl(aq) solutions, where Pu(IV)-aquo and Pu(III)-aquo ions were both expected to exist. Reversibility was unexpected – however – in more concentrated HCl(aq) for the following reasons. Our Pu L3-edge EXAFS data showed that homoleptic PuCly4−y chlorides exist for Pu(IV) when HCl(aq) concentrations were high. It is also well established that Pu3+(aq) prefers binding H2O over Cl1− in aqueous media when the Cl1−(aq) concentration are similarly high.30 Hence, we expected electrochemical irreversibility for the Pu4+(aq) to Pu3+(aq) redox couple at high HCl(aq) concentrations because of the anticipated H2O for Cl1− ligand substitution reaction: e.g., Pu(III)-homoleptic chloride to Pu(III) heteroletpic aquochloride. Surprisingly, this was not observed. The ensuing electrochemical reversibility showed that the Cl1− for H2O ligand exchange was slow on the cyclicvoltammographic timescale and that electrochemical methods can be effectively used to probe species that contain Pu(III)–Cl bonds in aqueous media, even the illusive PuIIICl63− trianion.
The impact of scan rate on the anodic and cathodic peak separations (ΔEp) was depicted in Fig. 7A. The plot showed ΔEp was weakly dependent on the scan rate when the scan rate was relatively slow, ca. 0.06–0.08 V between 0.01 and 0.2 V s−1. We interpreted this near-independence on scan rate as indicating that a reversible and diffusion-controlled electron transfer processes occurred on the time scale of the experiment, a designation that was consistent with convention49 despite being slightly larger than the theoretical value for a reversible process: 0.057 V at 25 °C.50 At higher scan rates (>0.2 V s−1), more extreme potentials (increased ΔEp values) were needed to drive the Pu4+/3+(aq) redox reactions. This result indicated that the redox process became kinetically controlled, meaning that electron transfer to plutonium was faster than diffusion of plutonium away from the electrode.
Fig. 7A also documented impact of scan rate on ΔEp as a function of HCl(aq) concentration. The anodic and cathodic peak separations were essentially independent of the HCl(aq) content. For example, the ΔEp values were equivalent within measurement uncertainty for each given HCl(aq) concentration. However, we acknowledge that the ΔEp uncertainty increased with the scan rate and the error bars were large (as high as ±0.067 V) at fast scan rates (>1 V s−1).
Fig. 5 showed that the half-wave potentials between the cathodic and anodic peaks (E½) were positive, ranging from 0.57(1) V to 0.74(1) V as the HCl(aq) concentration decreased from 11 to 1 M. The E½ values were also independent of scan rate at each HCl(aq) concentration (Fig. 7b). Utilizing the E½ values in Fig. 5 as estimates for formal Pu4+/3+(aq) potential,51 we estimated Gibbs free energy values (ΔGest) for the reversible Pu4+/3+(aq) electron transfer reaction as a function of HCl(aq) concentration using Eq. 2. These calculations showed that decreasing the HCl(aq) concentration from 11 to 1 M decreased the ΔGest values from −55.2 to −71.8 kJ mol−1, respectively. Uncertainty was estimated to be ±0.1 kJ mol−1 at 1σ. We proposed that the major contributor for the E½ dependence on HCl(aq) was associated with a plutonium speciation change from Pu(H2O)x4+ to PuCly(H2O)x4−y to PuCly4−y that accompanied decreasing the Cl1− content in solution. These calculations also indicated that the Pu(H2O)x4+ aquo cation was more strongly oxidizing than the PuCly4−y anion and that Cl1− complexation stabilized substantially the plutonium +4 oxidation state over the plutonium +3 oxidation state.
ΔGest = −nFE½ | (2) |
The mathematical expression that relates the number of Cl1− ligands bound by plutonium to the E½ for the Pu4+/3+(aq) redox reaction is shown in eqn (3).
![]() | (3) |
The derivation of this equation is based on the Nernst equation, the steady-state mass transport equation, and the reaction equilibrium equation. For more details, we direct interested readers to the ESI† and the textbook “Electrochemical Methods: Fundamentals and Applications, second edition”, by Bard and Faulkner (pages 36–37 and 186–188) where this relationship was derived.50 Included here is a high-level description that shows how to relate E½ to coordination number within the context of Pu4+/3+(aq) redox reaction and Pu–Cl complexation reactions.
For this scenario, the Cl1− coordination number can be determined by plotting E½ vs. the natural logarithm of the chloride concentration, ln[Cl1−(aq)]. The E½ values should be linearly dependent on ln[Cl1−(aq)] and the slope of that relationship equal to x(RT/nF) when a single species is present as the Cl1−(aq) concentration changes (variables defined in eqn (2)). Fig. 8 showed two linear regimes when E½ and ln[Cl1−] were plotted accordingly. The first linear regime occurred at low HCl(aq) concentrations. Here, E½ was highest for the Pu4+/3+(aq) redox reaction in dilute HCl(aq) (1 M) at 0.744(3) V. This value dropped slightly and monotonically to 0.736(1) V when the HCl(aq) concentration was raised to 4.5 M, such that a near horizontal relationship existed between E½ and ln[Cl1−] as the HCl(aq) concentration was increased from 1 to 4.5 M. The slight decrease in E½ suggested that increasing the HCl(aq) concentration to 4.5 M slightly increased the propensity of Cl1−(aq) to complex Pu4+(aq); however, the speciation profile strongly favored Pu(H2O)x4+ over PuCly(H2O)x4−y. Consistent with that notion, we calculated the average Cl1− coordination number for Pu4+(aq) over this HCl(aq) concentration range using eqn (4) (variables defined in eqn (3)). Slope analysis returned a value of −0.0046(9) V, which corresponded to an average Cl1− coordination number of 0.18(3). This result was consistent with the Pu L3-edge X-ray absorption data (vide supra), which showed Cl1−(aq) was not bound by Pu(IV) in dilute HCl(aq). Instead, the homoleptic Pu4+-aquo ion, Pu(H2O)x4+, existed when HCl(aq) concentrations were ≤3(1).
![]() | (4) |
Linearity also occurred when HCl(aq) concentrations were high (4.5 to 11 M). Here, E½ dropped from 0.736(1) [4.5 M HCl(aq)] to 0.572(3) [11 M HCl(aq)]. Slope analysis of the concentrated HCl(aq) regime returned a value of −0.19(3) V, which corresponded to an average Cl1− coordination number of 7(1) (eqn (3)) over the 4.5 to 11 M HCl(aq) concentration range. This result was consistent with the Pu L3-edge X-ray absorption data (vide supra), which showed Cl1− coordination numbers ≥5(1) when HCl(aq) concentrations were high (≥8 M) and Cl1− coordination numbers ≤3(1) when HCl(aq) concentrations decreased to ≤5.5 M. Other important information extracted from Fig. 8 was related to the domain over which heteroleptic PuCly(H2O)x4−y complexes existed. The graph highlighted a clear and abrupt Pu4+(aq) speciation change when the HCl(aq) concentration was between 4.5 and 6 M.
![]() | (5) |
In Fig. 6, the peak current (ip) was plotted against the scan rate (v½) for each HCl(aq) concentration value. In all cases, there was a linear relationship between ip and v½ for both anodic Pu(III) → e1− + Pu(IV) and cathodic Pu(IV) + e1− → Pu(III) electron transfer events at scan rates < 1 V s−1. Hence, diffusion coefficients for Pu4+(aq) and Pu3+(aq)
could be extracted from the slope analyses in this regime using least squares fitting. The goodness of fit was assessed by the coefficient of determination, R2, which ranged from 0.987 to 0.998 for plutonium in HCl(aq) solutions (1–11 M) (see ESI†).
The diffusion coefficients were plotted as a function of HCl(aq) concentration in Fig. 9A. All diffusion coefficients were similar in magnitude and subtly varied from 3.5(2) × 10−6 to 5.5(1) × 10−6 cm2 s−1. These values agreed well with estimates we calculated using the Nernst–Haskell equation (eqn (6)). We note that the values determined from eqn (5) should be taken as a rough estimation, as this equation is only valid for ion-pair analytes dissolved in infinitely dilute solutions.
![]() | (6) |
The mathematical expression in eqn (6) related the diffusion coefficient for both Pu4+(aq) and Pu3+(aq) to the oxidation states of plutonium (m′ = +4 or +3) and chloride (m′′ = –1) and the limiting molar ionic conductivities of plutonium
and chloride
: such that
and 66.6 S·cm2 mol−1 for Pu4+(aq) and Pu3+(aq), respectively52 and
.46 The R, T, and F variables were defined above in eqn (5). This expression enabled the Pu4+(aq) and Pu3+(aq) diffusion coefficients to be estimated based on oxidation state and limiting molar ionic conductivity.
As the HCl(aq) concentration was increased from 1 to 11 M, plutonium species transitioned from Pu(H2O)xn+ (n = 4 or 3), to PuCly(H2O)x4−y, and PuCly4−y. Accompanying this speciation change was a slight decrease in the plutonium diffusion coefficients, such that PuCly4−y moved through the aqueous solution slower than Pu(H2O)x4+. The marginal decrease was attributed to the increased molecular weight of the plutonium species and the increased viscosity of the solution matrixes. Only minor differences between the diffusion coefficients for Pu3+(aq) vs. Pu4+(aq) species were observed.
The diffusion coefficients were used to calculate how the hydrodynamic radii of the Pu4+(aq) and Pu3+(aq) species varied as a function of increasing HCl(aq) concentrations (1 to 11 M) using the Stokes–Einstein equation (eqn (7)).
![]() | (7) |
This analysis assumed the plutonium species were rigid spheres and the experimentally determined hydrodynamic radii for the Pu4+(aq) and Pu3+(aq) species were plotted as a function of HCl(aq) concentration in Fig. 9B. Our experimentally determined hydrodynamic radii tended toward slightly smaller radii [5.1(2) to 2.6(1) Å] as the HCl(aq) concentration increased from 1 to 11 M. These values agreed well with the 3.7 Å theoretical hydrodynamic radius calculated by the group contribution method,53 which summed the atomic volume of each element (Pu and Cl1−). The experimental and theoretical radii were also consistent with the reported hydrodynamic radius of 4.6 Å for Pu(IV) in nitric acid solutions.54,55
These results did not follow the expected inverse relationship between hydrodynamic radii and diffusion coefficients. We suspected the origin of this deviation was related to significant changes in viscosity of the aqueous solutions that occurred when the HCl(aq) concentrations were increased from 1 to 11 M.56 Regarding the size difference between the Pu3+(aq) and Pu4+(aq) species at the same HCl(aq) concentration, there was no significant difference in hydrodynamic radius (t test, two-tailed p > 0.05), indicating the Pu(IV) chloride and aquo complexes were similar in size in solution.
Overall, these findings offer a simple way to control the electron transfer chemistry of plutonium in aqueous solutions. Changing the HCl(aq) concentration altered the coordination chemistry accessible to plutonium, which in turn changed potentials required to access the one-electron Pu(IV) + e1− ⇌ Pu(III) redox reaction. Based on these results, it seemed likely that increasing the electron donating ability of the complexing agent (stronger field than Cl1−) would shift E½ more negative and stabilize electron-deficient Pu4+(aq) further. Conversely, increasing the electron withdrawing properties of the complexing agent should shift E½ more positive and stabilize electron-rich Pu3+(aq) further. It is our hope that these results will help scientists working with plutonium in aqueous solutions by demystifying some of the unexpected electron transfer chemistry plutonium experiences under those conditions. This insight may also aid researchers in better controlling plutonium when conducteing separations for energy-related systems, evaluating the fate and transport of plutonium through aqueous solutions in the environment, and processing aqueous plutonium solutions relevant to national nuclear security missions.
Plutonium (a mixture of 238Pu, 0.02 wt%; 239Pu, 93.7 wt%; 240Pu, 6.1 wt%; 241Pu, 0.22 wt%; and 242Pu, 0.03 wt%) used in this study was obtained as either residues from previous experiments, plutonium oxide, or in metallic form dissolved as previously described.59 The NaClO2(s) reagent was obtained commercially (Sigma Aldrich) as a mixture of NaClO2 (80%) and NaCl (20%) and used as received. All water used in these experiments was deionized and passed through a Thermoscientific Barnstead Micropure water purification system until a resistivity of 18.2 MΩ cm was achieved.
The experiments described in this study relied on making aqueous solutions that contained varied amounts of hydrochloric acid, HCl(aq). These solutions were made from serial dilutions of commercially available concentrated HCl(aq) (OPTIMA Grade; Fisher Scientific). The HCl concentration for the concentrated HCl(aq) varied from batch-to-batch, ranging 10.8 to 11.1 M. Hence, we assigned the HCl content in the concentrated solutions as being 11 M and used this value to calculate the HCl(aq) content in all subsequently made serial dilutions.
The solutions used for the electrochemical assay in concentrated HCl(aq) (11 M) was recovered into a plastic Falcon cone (50 mL). The cone was heated (near 80 °C) on a hot plate under a stream of filtered air to evaporate the solution. The resulting residue was dissolved in HCl(aq) (4 mL; 8 M) and the electrochemical measurements were repeated in analogy to that described above in 11 M HCl(aq). This process was repeated with a series of HCl(aq) solutions: 6, 4.5, 3, and 1 M. Voltammetric measurements were collected in triplicate. This was achieved on three separate days by evaporating a Pu(aq) solution to dryness, dissolving the residue in fresh HCl(aq), and then recovering the Pu(aq) samples. The obtained voltammograms were corrected for the Ag/AgCl drift at non-standard conditions across different chloride concentrations using the Nernst equation.
The X-ray absorption sample holder was custom-made and designed for assaying solutions that contained radiological samples. These holders – and the associated handling procedures – provided adequate containment (three layers) for radiological samples. We additionally deployed appropriate administrative and engineering controls that guarded against the release of radiological material during shipment and data acquisition. The holder consisted of a Teflon body with a 5 mm well. It was equipped with a set of Teflon windows (1 mil thickness) and an additional Kapton window (1 mil thickness). These windows were secured by stainless-steel brackets. Solutions were introduced into the holder through an injection hole that was sealed with a Teflon plug. The plug was secured with an aluminum plate. This primary holder was held within a secondary container, which in turn was nested within the tertiary container. The secondary and tertiary containers were best described as a set of aluminum holders equipped with Kapton windows (2 mil thickness) and rubber gaskets. The assembly was shipped to the Stanford Synchrotron Radiation Lightsource (SSRL). Upon arrival, the samples were surveyed for contamination at the beamline within a radiological tent, placed in a cryostat (which provided tertiary containment), and attached to the SSRL Beamline's 11-2 rail.
Approximately 1 hour after oxidation, a solution of CsCl(aq) [30.1 mL; 3 M in 9.3 M HCl(aq)] was added to the Pu4+(aq) solution [82.1 mL; 1.97(1) × 10−4 M in 9.3 M HCl(aq)] described above. Upon combining these two solutions, a pale-yellow powder immediately precipitated. The slurry was mixed (30 min) and the precipitate was allowed to settle for 12 hours. This powder was isolated by vacuum filtration, washed with HCl(aq) (100 mL, 11 M), and dried in an oven (∼120 °C, 8 hours). Analysis of the filtrate by UV-Vis-NIR absorption spectroscopy showed no detectible plutonium dissolved in solution (see ESI†). Radiochemical analyses showed a precipitation yield of 99.9%. The compound was analyzed by powder X-ray diffraction (see ESI†), and its identity was confirmed as Cs2PuCl6(s) by comparison with previously published data.62
The Cs2PuCl6(s) sample was transferred to a negative-pressure, argon-filled glovebox. A small portion of the sample (3.7 mg, 5.3 μmol) was mixed with boron nitride powder (170.0 mg) in a polystyrene canister (0.5 × 1 inch) that contained a Teflon ball (1/8-inch diameter). The mixture was ground (5 min) using a Wig-L-Bug grinder. The resulting homogeneous powder contained 0.7 wt% Pu(IV), which was calculated to have a plutonium edge jump of 0.15 absorption length in transmission 500 eV above the Pu L3-edge. The fine white powder was loaded into a Teflon NMR tube liner that had been cut to a length of ∼1 inch. This powder was quite flocculant and the potential for spreading unwanted contamination throughout the glovebox was high. The dispersion hazard was mitigated by using a small funnel made from an automated pipette tip (5 mL) to aid in the sample transfer. Additionally, disposable Latex gloves were worn over the glovebox gloves (inside the box) during the solid transfer, and the glovebox floor was covered with aluminum foil to catch any straggling plutonium powder. The powder was packed with a stainless-steel shaft into the Teflon NMR tube liner to generate a tight cylindrical plug (ca. height = 20 mm; diameter = 3 mm). A Teflon stopper was inserted into the tube until it pressed against the plug, which in turn sealed the tube. The tube was transferred to a HEPA-filtered hood and loaded into a slotted aluminum plate. This plate was equipped with two windows made from Kapton tape (1 mil). This primary holder was nested within an additional aluminum sample holder that was equipped with Kapton windows (2 mil). These windows were sealed with indium wire and held in place by stainless-steel brackets and bolts. Care was taken to ensure that the outside of the primary and secondary holders was not contaminated. The sample holder was shipped to SSRL. Upon arrival, the samples were unpackaged at the beamline within a tented workstation and attached to the cold finger of a liquid N2(liq) cryostat, which served as a third layer of containment during the measurements. The cryostat was attached to the SSRL's Beamline 11-2 rail, such that the samples were held at 45° to the incident radiation. The cryostat was attached to a turbo pump and then placed under vacuum (10−6 torr) and cooled with N2(liq) prior to X-ray measurement.
Beamline 11-2 XAS rail (SSRL) was equipped with three ionization chambers, through which nitrogen gas continually flowed. One chamber was positioned before the sample (10 cm) to monitor the incident radiation (I0). A second chamber was positioned after the sample (30 cm) so that sample transmission (I1) could be evaluated against I0 and so that the absorption coefficient (μ) could be calculated as ln(I0/I1). A third chamber (I2; 30 cm) was positioned downstream from I1 so that the XANES of a calibration foil could be measured against I1. A potential of 1600 V was applied in series to the ionization chambers. The samples were positioned 45° to the incident radiation. Samples were measured in fluorescence. A Lytle detector was used for the HCl(aq) that had concentrations of 1, 3, 5.5, and 8 M. A 100-element Ge detector was used for the 11 M HCl(aq)-containing samples. A Sr (3 mm) filter mounted to Soller slits that were positioned in front of the detector to help remove unwanted X-ray scattering from the samples. All data were collected with vertical slits set at 0.5 mm and horizontal slits set between 7 to 9 mm. A zirconium foil (Zr) was placed between the I1 and I2 ion chambers so that plutonium samples could be calibrated in situ to the energy of the first inflection point of the Zr K-edge (17998 eV).
Footnotes |
† Electronic supplementary information (ESI) available: Additional UV-Vis spectra, PXRD pattern, and equation derivation. See DOI: https://doi.org/10.1039/d5qi00409h |
‡ These are co-first authors because they contributed equally to this manuscript. |
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