Quantifying Dissolved Transition Metals in Battery Electrolyte Solutions with NMR Paramagnetic Relaxation Enhancement Jennifer P. Allen, Christopher A. O’Keefe, and Clare P. Grey* Cite This: J. Phys. Chem. C 2023, 127, 9509−9521 Read Online ACCESS Metrics & More Article Recommendations *sı Supporting Information ABSTRACT: Transition metal dissolution is an important contributor to capacity fade in lithium-ion cells. NMR relaxation rates are proportional to the concentration of paramagnetic species, making them suitable to quantify dissolved transition metals in battery electrolytes. In this work, 7Li, 31P, 19F, and 1H longitudinal and transverse relaxation rates were measured to study LiPF6 electrolyte solutions containing Ni2+, Mn2+, Co2+, or Cu2+ salts and Mn dissolved from LiMn2O4. Sensitivities were found to vary by nuclide and by transition metal. 19F (PF6−) and 1H (solvent) measurements were more sensitive than 7Li and 31P measurements due to the higher likelihood that the observed species are in closer proximity to the metal center. Mn2+ induced the greatest relaxation enhancement, yielding a limit of detection of ∼0.005 mM for 19F and 1H measurements. Relaxometric analysis of a sample containing Mn dissolved from LiMn2O4 at ∼20 °C showed good sensitivity and accuracy (suggesting dissolution of Mn2+), but analysis of a sample stored at 60 °C showed that the relaxometric quantification is less accurate for heat-degraded LiPF6 electrolytes. This is attributed to degradation processes causing changes to the metal solvation shell (changing the fractions of PF6−, EC, and EMC coordinated to Mn2+), such that calibration measurements performed with pristine electrolyte solutions are not applicable to degraded solutions�a potential complication for efforts to quantify metal dissolution during operando NMR studies of batteries employing widely-used LiPF6 electrolytes. Ex situ nondestructive quantification of transition metals in lithium-ion battery electrolytes is shown to be possible by NMR relaxometry; further, the method’s sensitivity to the metal solvation shell also suggests potential use in assessing the coordination spheres of dissolved transition metals. ■ INTRODUCTION Understanding and preventing degradation in lithium-ion cells is vital to extending their lifetimes and increasing their applications. There are various causes of cell degradation, but one mechanism is the dissolution of transition metal ions from cathodematerials (e.g., Li[NixMnyCo1−x−y]O2 orNMC) into the electrolyte solution, followed by the deposition of those metal ions at the anode.1−6 Althoughmetal dissolution causes negative effects at the positive electrode due to the loss of active material and reconstruction of the cathode surface, the majority of transition metal-related capacity losses from NMC and similar cathodematerials arise frommetal deposition and reaction at the negative electrode.7−13 Once deposited at the anode, transition metals disrupt the solid electrolyte interphase (SEI), induce further electrolyte decomposition, consume cyclable lithium, and contribute to SEI thickening (with varying severity).7−30 The extent of dissolution from NMC, LiMn2O4, and LiNi0.5Mn1.5O4, ex situ (e.g., from cathode powders stored in electrolyte solutions) or in cells, varies widely depending on factors, including storage time,9,14,31−33 cycle number,33−39 electrolyte composition,7,34,40−49 use of cathode coat- ings,37,50−56 upper cutoff potential,8,12,13,29,36,38,40,44,57−61 and temperature.9,12,31,33,38,57 Dissolved transition metals in electrolyte solutions can be quantified in several ways. The two most commonly used methods are inductively coupled plasma optical emission spectroscopy (ICP-OES)14,31,33,38,40,62−64 and ICP mass spectrometry (ICP-MS),23,46−48,65−69 while ion chromatogra- phy,61,70−72 total reflection X-ray fluorescence,73−75 and ultra- violet−visible spectroscopy62,63,76−78 have also been applied. Electrochemical methods may also be used; differential pulse polarography experiments34,79 and electrodeposition onto a rotating ring disk electrode65 have been used to quantify Mn2+ dissolved from LiMn2O4. The above methods provide precise quantification of the metal concentration in solution; however, most of these destroy or alter the sample, either because the measurement itself is destructive or because chemical agents are added during sample preparation. By contrast, nuclear magnetic resonance (NMR) spectroscopy is a nondestructive technique that has been used to Received: February 28, 2023 Revised: April 20, 2023 Published: May 16, 2023 Articlepubs.acs.org/JPCC © 2023 The Authors. Published by American Chemical Society 9509 https://doi.org/10.1021/acs.jpcc.3c01396 J. Phys. Chem. C 2023, 127, 9509−9521 https://pubs.acs.org/action/doSearch?field1=Contrib&text1="Jennifer+P.+Allen"&field2=AllField&text2=&publication=&accessType=allContent&Earliest=&ref=pdf https://pubs.acs.org/action/doSearch?field1=Contrib&text1="Christopher+A.+O%E2%80%99Keefe"&field2=AllField&text2=&publication=&accessType=allContent&Earliest=&ref=pdf https://pubs.acs.org/action/doSearch?field1=Contrib&text1="Clare+P.+Grey"&field2=AllField&text2=&publication=&accessType=allContent&Earliest=&ref=pdf https://pubs.acs.org/action/showCitFormats?doi=10.1021/acs.jpcc.3c01396&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?goto=articleMetrics&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?goto=recommendations&?ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?goto=supporting-info&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=abs1&ref=pdf https://pubs.acs.org/toc/jpccck/127/20?ref=pdf https://pubs.acs.org/toc/jpccck/127/20?ref=pdf https://pubs.acs.org/toc/jpccck/127/20?ref=pdf https://pubs.acs.org/toc/jpccck/127/20?ref=pdf pubs.acs.org/JPCC?ref=pdf https://pubs.acs.org?ref=pdf https://pubs.acs.org?ref=pdf https://doi.org/10.1021/acs.jpcc.3c01396?urlappend=%3Fref%3DPDF&jav=VoR&rel=cite-as https://pubs.acs.org/JPCC?ref=pdf https://pubs.acs.org/JPCC?ref=pdf https://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/ https://acsopenscience.org/open-access/licensing-options/ study lithium-ion cells because of its chemical specificity and ability to provide information about both structure and dynamics. NMR-active nuclei present in most lithium-ion cells include 1H, 7Li, 13C, 17O, 19F, and 31P, among others. Solid-state NMR has been used to study the electrode materials80−86 and electrode−electrolyte interfaces,84,87−94 while solution NMR has been used to study the electrolyte decomposition products,95−101 transport properties,102−110 and solvation structure.109,111−116 In situ and operando NMR experiments have even been developed to probe chemical and electro- chemical processes occurring in custom cells.82−86,105,110,117−119 Although deuterated solvents may be added to electrolytes for solution NMR (irreversibly altering the sample and complicat- ing potential operando analysis if deuterated electrolytes are not available), this is not strictly necessary as these solvents may be incorporated instead by using a solvent capillary or coaxial tube. Because dissolved transition metals are paramagnetic, with very rapid nuclear relaxation rates,80,120 NMR is not well suited for the direct (e.g., 61Ni, 55Mn, 59Co) measurement of transition metal dissolution and deposition. However, the magnetic properties of other nuclei in the same sample are affected by the presence of paramagnetic species, and NMR experiments focusing on these other nuclides can reveal information about the metals, including their oxidation state and coordination environment. A key effect of paramagnetic species on NMR measurement is relaxation enhancement, where the unpaired electrons of the paramagnetic species create fluctuating magnetic fields that drive efficient relaxation of nearby nuclei.121−124 Relaxation times in both the longitudinal dimension (T1, along the applied magnetic field B0) and transverse dimension (T2, perpendicular to B0) are affected by this interaction. Critically, the relaxation enhancement is proportional to the concentration of paramagnetic species,121 so measurement of the NMR relaxation rate should enable quantification of the dissolved metals. NMR field-cycling relaxometry has recently been used to quantify dissolved Mn2+ in wine, an example of an application of the method to an “electrolyte” containing multiple dissolved components.125 The properties and equations governing paramagnetic relaxation enhancement are described in detail in the Discussion section. If nondestructive quantification is possible with NMR relaxometry, this would not only preserve samples for later analysis but also facilitate operando metal quantification with NMR.Operando quantification of metal dissolution in a lithium- ion cell has been achieved with ICP-MS coupled to an electroanalytical flow cell,68 but this method is invasive, requiring the electrolyte to be removed from the cell; thus, the effects of electrolyte degradation and transitionmetal deposition on cell performance are not captured. The use of relaxation- weighted magnetic resonance imaging (MRI) could be used not only to noninvasively quantify metal dissolution but also to visualize the distribution of dissolved transition metals in a cell, by mapping relaxation rates across the electrolyte volume (where faster relaxation rates indicate larger metal concen- trations). Such work has already been successfully performed to examine Cu2+ electrodissolution into an aqueous Na2SO4 electrolyte solution.126 This work analyses the relaxation rates of electrolyte solutions comprising LiPF6, carbonate solvents, and μM−mM quantities of Ni2+, Mn2+, Co2+ (which may dissolve from NMC cathodes), or Cu2+ (which may dissolve from copper current collectors), in order to establish whether relaxometry provides a viable method to quantify metal dissolution. This work follows from our previous studies: in the first, we explored the use of bulk magnetic susceptibility shifts to identify the oxidation states and concentrations of dissolved paramagnetic ions.127 In the second, we examined the line broadening induced by paramagnetic ions in pristine and degraded battery electrolytes,128 describing methods to mitigate this. Here, we analyze relaxation phenomena in greater detail, measuring and analyzing both transverse and longitudinal relaxation rates; we show that they are highly sensitive to the presence of Mn2+, especially with 19F and 1H measurements. Storage of LiMn2O4 powder with the electrolyte solution at ∼20 °C shows that Mn(TFSI)2 is indeed representative of Mn2+ dissolved from cathode materials, and metal quantification was successful. However, the quantification was far less accurate in a similar sample that had been stored at 60 °C, indicating that the species produced during the thermal degradation processes may change the transition metal coordination sphere and thereby reduce the applicability of the NMR calibration data acquired with the pristine electrolyte solutions. While potential operando applications face some complications (outlined in this work), ex situ relaxometry may be a valuable tool to nondestructively quantify dissolved metals in battery electrolyte solutions. Notably, the dependence of relaxation rates on metal solvation suggests that NMR relaxometry may also be applied to probe the coordination of dissolved metals to electrolyte species. ■ METHODS Preparation of Electrolyte Solutions. Electrolyte sol- utions comprised 1 M LiPF6 in 3:7 ethylene carbonate (EC)/ ethyl methyl carbonate (EMC) (v/v), a standard composition that was sourced premixed (soulbrain MI PuriEL R&D 280). Trifluoromethanesulfonimide (TFSI) salts were used to simulate dissolved transition metals and were dried under vacuum at 100 °C before use: Mn(TFSI)2 (Tokyo Chemical Industry UK Ltd., >97.0% and Solvionic, 99.5%), Co(TFSI)2 (Alfa Aesar, ≥95.0%), Ni(TFSI)2 (Alfa Aesar, ≥97%), and Cu(TFSI)2 (purchased as the hydrate, Sigma-Aldrich). NMR Measurements of Electrolyte Solutions. NMR relaxation measurements were performed at∼25 °C on a Bruker Avance III HD 300 MHz spectrometer using a Bruker double- channelMicWB40 probe.T1 measurements were acquired using the inversion recovery pulse sequence; T2 measurements were acquired using the Carr−Purcell−Meiboom−Gill (CPMG) pulse sequence129,130 with echo spacings of τ = 2 ms (with the exception of the 19FT2 measurement of 8.0 mMMn2+, where τ = 1 ms was used, due to very rapid relaxation). NMR spectra were acquired using a Bruker Avance III HD 500 MHz spectrometer equipped with a broadband observe (BBO) probe; NMR tubes contained sealed C6D6 capillaries for field locking. In all cases, NMR tubes were filled in an argon glovebox and sealed with J- Young valves or with poly(tetrafluoroethylene) tape over the cap. Measurements were conducted shortly after solution preparation, and no significant changes in relaxation rates were detected after some solutions were stored outside the glovebox for ∼4 days. LiMn2O4 Storage Experiment. To study Mn dissolution from electrode materials, 3 g LiMn2O4 was combined with 7 mL of the electrolyte solution and stored in an aluminum bottle under argon for 88 days at ∼20 °C or 77 days at 60 °C. The solution was then centrifuged and the supernatant was analyzed with NMR and ICP-OES. ICP-OES samples were prepared via the addition of trace metal grade nitric acid, and measurements The Journal of Physical Chemistry C pubs.acs.org/JPCC Article https://doi.org/10.1021/acs.jpcc.3c01396 J. Phys. Chem. C 2023, 127, 9509−9521 9510 pubs.acs.org/JPCC?ref=pdf https://doi.org/10.1021/acs.jpcc.3c01396?urlappend=%3Fref%3DPDF&jav=VoR&rel=cite-as were carried out using an iCAP 7400 Duo ICP-OES Analyzer (Thermo Fisher Scientific). ■ RESULTS Figure 1 shows diamagnetic 7Li, 31P, and 19F NMR spectra of LiPF6/EC/EMC solutions and relaxation measurements of solutions containing 0−8 mM dissolved Mn2+, Ni2+, and Co2+. 19F measurements are also shown for solutions containing Cu2+. Relaxation time constants are presented as relaxation rates in s−1, referred to as R1 (1/T1) and R2 (1/T2). An expanded view of the 7Li and 31P relaxation is provided in the Supporting Information (Figure S1). In all cases, the relaxation rates increase with the Figure 1. (a−c) 7Li, 31P, and 19F representative NMR spectra of diamagnetic 1 M LiPF6 in 3:7 EC/EMC (v/v) and (d−f) longitudinal and (g−i) transverse relaxation rates of electrolyte solutions containing dissolved Mn(TFSI)2, Cu(TFSI)2 (19F only), Ni(TFSI)2, or Co(TFSI)2. Only the spectral region showing the PF6− is shown in the 31P and19F spectra; the observed multiplets arise from the 31P−19F J-coupling. Relaxation rates of solutions containing Cu(TFSI)2, Ni(TFSI)2, andCo(TFSI)2 are plotted on the left y axes, while relaxation rates of solutions containingMn(TFSI)2 are plotted on the right y axes, as indicated by the arrows in panel (d). Error bars at 1 mM indicate the standard deviation of three measurements on the sample; they are difficult to visualize at this scale, but all 20 are <3%. The asterisk at 8 mMMn2+ in panel (i) indicates the use of a reduced echo spacing of τ = 1 ms due to very fast relaxation. An expanded view of the 7Li and 31P relaxation data in panels (d), (e), (g), and (h) is provided in the Supporting Information (Figure S1). Figure 2. (a) Representative 1H NMR spectrum of diamagnetic 1 M LiPF6 in 3:7 EC/EMC (v/v) and (b−e) longitudinal and (f−i) transverse relaxation rates of electrolyte solutions containing dissolved Mn(TFSI)2, Cu(TFSI)2, Ni(TFSI)2, or Co(TFSI)2. Relaxation rates of solutions containing Mn(TFSI)2 are plotted on the right y axes. The multiple relaxation rates arise from the different 1H environments in the solvent system, indicated in panel (a). Error bars at 1 mM indicate the standard deviation of three measurements on the sample; while difficult to visualize at this scale, all 32 are <6%. The Journal of Physical Chemistry C pubs.acs.org/JPCC Article https://doi.org/10.1021/acs.jpcc.3c01396 J. Phys. Chem. C 2023, 127, 9509−9521 9511 https://pubs.acs.org/doi/suppl/10.1021/acs.jpcc.3c01396/suppl_file/jp3c01396_si_001.pdf https://pubs.acs.org/doi/suppl/10.1021/acs.jpcc.3c01396/suppl_file/jp3c01396_si_001.pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig1&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig1&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig1&ref=pdf https://pubs.acs.org/doi/suppl/10.1021/acs.jpcc.3c01396/suppl_file/jp3c01396_si_001.pdf https://pubs.acs.org/doi/suppl/10.1021/acs.jpcc.3c01396/suppl_file/jp3c01396_si_001.pdf https://pubs.acs.org/doi/suppl/10.1021/acs.jpcc.3c01396/suppl_file/jp3c01396_si_001.pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig1&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig2&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig2&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig2&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig2&ref=pdf pubs.acs.org/JPCC?ref=pdf https://doi.org/10.1021/acs.jpcc.3c01396?urlappend=%3Fref%3DPDF&jav=VoR&rel=cite-as transition metal concentration. Generally, the relaxation rates follow the trend 19F > 31P > 7Li. Notably, relaxation rates in Mn2+-containing samples are 1−2 orders of magnitude faster than those in Cu2+-, Ni2+-, or Co2+-containing samples. Linear regression analysis shows that better fits are yielded for data with larger relaxation changes: the only datasets with R2 < 0.99 are those where very little change in relaxation is observed, namely, results from 7Li NMR and results fromCo2+-containing samples. The relationship between gradient and R2 for each nucleus is shown in Figure S2. Figure 2 shows 1H relaxation rates of electrolyte solutions containing added transition metal ions. The four longitudinal and transverse relaxation rates correspond to the four 1H environments in the solvent system, indicated in Figure 2a. The 1H relaxation measurements show linearly increasing relaxation rates, with Mn2+ inducing the greatest change. Among the three EMC environments, the slowest-relaxing 1H environment is the CH3 of the ethyl group (Figure 2e,i), which shows considerably slower relaxation rates than the ethyl CH2 (Figure 2c,g) and the methyl group (Figure 2d,h). Linear regression analysis of the 1H data shows that it is mainly Co2+-containing samples that yield poorer fits, while among the 24 Ni2+, Cu2+, and Mn2+ datasets, the smallest R2 value is 0.986. The relationship between gradient and R2 is shown in Figure S2, which also contains data for 7Li, 19F, and 31P relaxation. Figure 3 shows 19F and 1H relaxation measurements of electrolyte solutions containing both Mn2+ (0−4 mM) and Ni2+ (0−8 mM) ions. This experiment was performed to assess the suitability of the relaxometry method to determine whether concentrations of multiple metals can be detected in solution. While some differences are visible between samples containing different Ni2+ concentrations, such differences are small, and the magnitude of relaxation rates are not always in the anticipated order of increasing Ni2+ concentration (see, for example, the EC transverse relaxation at the highest Mn2+ concentration). Figure 4 shows 19F and 1H relaxation measurements of electrolyte solutions that contain very low concentrations of Mn2+ to estimate the method’s limit of detection (LoD). The measurements were performed at 0, 0.001, 0.005, 0.010, 0.050, 0.100, and 0.500 mM. (Although only 0−0.1 mM is shown in Figure 4, the lines of best fit include the 0.5 mM point, and the full 0−0.5 mM scale is shown in Figure S3.) These measure- ments show that the relaxation enhancement remains linear even at very low metal concentrations and that the method is highly sensitive to Mn2+. The 19F and 1H relaxation rates at 0, 0.001, and 0.005 mM Mn2+ are listed in Table S1. With both the 5σ criterion and the 5% error criterion, the LoD of the NMR relaxometry method is on the order of 0.001−0.005 mM (the limit for each of the 10 relaxation rates differs slightly). To determine whether these Mn(TFSI)2 results can be applied to Mn dissolved from battery materials, LiMn2O4 powder was soaked in the electrolyte solution and stored under argon at either∼20 °C for 88 days or at 60 °C for 77 days. Figure 5 compares the estimates for quantities of dissolved metals obtained via 19F relaxation, 1H relaxation, and by ICP- OES. Metals were quantified by relaxometry by using the linear Figure 3. (a) 19F and (b) 1H longitudinal and transverse relaxation rates of 1 M LiPF6 in 3:7 EC/EMC (v/v) electrolyte solutions containing both dissolved Mn(TFSI)2 (concentrations shown on the x axis) and Ni(TFSI)2 (concentrations indicated by the color of the points). The multiple relaxation rates in the 1H NMR arise from the different 1H environments in the solvent system. The Journal of Physical Chemistry C pubs.acs.org/JPCC Article https://doi.org/10.1021/acs.jpcc.3c01396 J. Phys. Chem. C 2023, 127, 9509−9521 9512 https://pubs.acs.org/doi/suppl/10.1021/acs.jpcc.3c01396/suppl_file/jp3c01396_si_001.pdf https://pubs.acs.org/doi/suppl/10.1021/acs.jpcc.3c01396/suppl_file/jp3c01396_si_001.pdf https://pubs.acs.org/doi/suppl/10.1021/acs.jpcc.3c01396/suppl_file/jp3c01396_si_001.pdf https://pubs.acs.org/doi/suppl/10.1021/acs.jpcc.3c01396/suppl_file/jp3c01396_si_001.pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig3&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig3&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig3&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig3&ref=pdf pubs.acs.org/JPCC?ref=pdf https://doi.org/10.1021/acs.jpcc.3c01396?urlappend=%3Fref%3DPDF&jav=VoR&rel=cite-as fits from Figure 4. The sample stored at 60 °C was also diluted 5×with pristine electrolyte to determine whether more accurate estimates of Mn2+ concentration could be obtained from more dilute solutions, and the NMR results were scaled by 5× for direct comparison with the results obtained from the undiluted sample. Six months later, two additional samples were prepared; these samples were analyzed 9 months after the calibration dataset was measured, and the results are discussed in the Supporting Information (Figure S4). For the sample stored at ∼20 °C for 88 days, the NMR estimates of Mn concentration are a good match with the ICP- OES measurement. However, for the 60 °C sample, all NMR Figure 4. (a) 19F and (b) 1H longitudinal and transverse relaxation rates of 1 M LiPF6 in 3:7 EC/EMC (v/v) electrolyte solutions containing small amounts of dissolved Mn(TFSI)2 to determine the limit of detection of the method. The multiple relaxation rates in the 1H NMR arise from the different 1H environments in the solvent system. Figure 5. EstimatedMn concentrations after (a)∼20 °C and (b, c) 60 °C storage of LiMn2O4 with 1 M LiPF6 in 3:7 EC/EMC (v/v), calculated from 19F and 1H longitudinal and transverse relaxation rates. In panel (c), the 60 °C sample was diluted 5× with the pristine electrolyte solution, and the resultingNMR concentrations were scaled by 5× for direct comparison with the results in panel (b). Black bars indicate the concentrationmeasured by ICP-OES, with error bars indicating the standard deviation of three samples. The Journal of Physical Chemistry C pubs.acs.org/JPCC Article https://doi.org/10.1021/acs.jpcc.3c01396 J. Phys. Chem. C 2023, 127, 9509−9521 9513 https://pubs.acs.org/doi/suppl/10.1021/acs.jpcc.3c01396/suppl_file/jp3c01396_si_001.pdf https://pubs.acs.org/doi/suppl/10.1021/acs.jpcc.3c01396/suppl_file/jp3c01396_si_001.pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig4&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig4&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig4&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig4&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig5&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig5&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig5&ref=pdf https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396?fig=fig5&ref=pdf pubs.acs.org/JPCC?ref=pdf https://doi.org/10.1021/acs.jpcc.3c01396?urlappend=%3Fref%3DPDF&jav=VoR&rel=cite-as estimates are considerably smaller than the ICP-OES measure- ment. The 60 °C sample contains almost 2 orders of magnitude more Mn than the 20 °C sample (4.67 ± 0.05 vs 0.066 ± 0.003 mM, respectively, from ICP-OES), and after dilution of the 60 °C sample with pristine electrolyte, theNMR estimates aremore consistent with the ICP-OES result, although the concentration is still underestimated by NMR. Among the different NMR estimates for Mn concentration, the least accurate values (smallest estimated concentrations) are obtained from the 19F PF6− relaxation rates, and the most accurate values are obtained when the concentration is estimated from the 1H EMC ethyl CH3 relaxation rates. The source of these deviations is addressed in the Discussion section. ■ DISCUSSION In this work, the Solomon−Bloembergen−Morgan model120−123,131 of relaxation is adopted to provide a framework within which to discuss our results. Equations 1 and 2 describe the relaxation rates of nuclei bound to paramagnetic ions (R1M andR2M or 1/T1M and 1/T2M, respectively), where the first terms describe through-space dipolar coupling of the nuclear and electron spins120−122 and the second terms describe the isotropic contact interaction.120,121,123 The paramagnetic relaxation enhancement is strongly affected by the ion−nucleus distance (1/r6) and the electron spin (S(S + 1)). Other values in eqs 1 and 2 include the permeability of vacuum (μ0), nuclear gyromagnetic ratio (γI), electron spin g-factor (ge), Bohr magneton (μB), Larmor frequencies for the nuclear spin (ωI) and electron spin (ωS), the hyperfine interaction constant (A/ ℏ), and correlation times for the dipolar (τcdip) and contact (τccon) terms. The timescales of the fluctuating magnetic fields are quantified by the correlation times, which differ depending on the mechanism of coupling between the fluctuating field and the nuclear spin. For the dipolar term, τcdip is determined by the molecular rotation (τr), electronic relaxation (τe), and chemical exchange (τM) correlation times, as shown in eq 3, while for the isotropic contact term, τccon is determined by τe and τM, as shown in eq 4.121 = + + + + + + + i k jjj y { zzz i k jjjjj y { zzzzz i k jjjjj y { zzzzz R g S S r S S A 2 15 4 ( 1) 3 1 ( ) 7 1 ( ) 2 3 ( 1) 1 ( ) 1M 0 2 I 2 e 2 B 2 6 c dip I 2 c 2 dip c dip S 2 c 2 dip 2 2 c con S 2 c 2 con (1) = + + + + + + + + + i k jjj y { zzz i k jjjjj y { zzzzz i k jjjjj y { zzzzz R g S S r S S A 1 15 4 ( 1) 4 3 1 ( ) 13 1 ( ) 1 3 ( 1) 1 ( )S 2M 0 2 I 2 e 2 B 2 6 c dip c dip I 2 c 2 dip c dip S 2 c 2 dip 2 2 c con c con 2 c 2 con (2) = + +( )c 1 dip r 1 e 1 M 1 (3) = +( )c 1 con e 1 M 1 (4) The above equations describe the relaxation of the paramagnetic complex; however, in dilute solutions, most observed NMR nuclei are not in ions or molecules bound to paramagnetic ions. We must therefore take into account the probability of a nuclide being adjacent to a paramagnetic ion and thus the probability that it will undergo the relaxation processes described in eqs 1 and 2. Equations 5 and 6 show the paramagnetic relaxation enhancement R1p and R2p, i.e., the difference between the observed relaxation rates of a paramagnetic sample and its diamagnetic analogue (or R1 − R1d and R2 − R2d). 121,132 The relaxation enhancement is proportional to fM, the molar fraction of nuclei that are bound to paramagnetic metal ions. (There is also a dependence on chemical exchange, with timescale τM, between the free species and the complex where the species is bound to the paramagnetic center; additionally, the transverse relaxation has a term that depends on the hyperfine shift ΔωM.) The measured relaxation rates can therefore be related to eqs 1 and 2, which are derived for a defined complex with a finite lifetime (hence, paramagnetic relaxation effects due to free diffusion are ignored). = = + R R R f R 1 (1/ )1p 1 1d M 1M M (5) = = + + + + R R R f R R R ( (1/ )) ( ) ( (1/ )) ( )2p 2 2d M 2M 2M M M 2 M 2M M 2 M M 2 (6) Equations 1−6 show that the effect of dissolved transitionmetals on the relaxation rate is highly specific to the system, with a dependence on molecular motion (rotation and exchange), metal−nucleus distance, and the degree of transition metal coordination, among other factors.121 If the metal concentration is already known, the relaxometry result does not necessarily provide a clear indication of which oxidation state is dissolved; instead, a reliable calibration is required to interpret the relaxometry results. While differences in relaxometry results could indicate the dissolution of one oxidation state vs another, it could also indicate changes to the metal solvation shell. Although the interpretation of relaxometry results is by no means straightforward, given the multiple correlation times and interactions, we attempt to draw simple trends from the data, which will inevitably require a number of assumptions that we, when possible, explore. Calibration curves of the NMR response to the presence of various transition metals are shown in Figures 1 and 2. In these figures, the limit of detection for the relaxometry method is observed to vary for each metal, nucleus, and environment. The method is most sensitive to paramagnetic species with more unpaired electrons (larger S) and slower electronic relaxation rates (longer τe). Typical Mn2+ electronic relaxation rates are one or more orders of magnitude slower than those of Cu2+, Ni2+, or Co2+.121 The slower electron spin relaxation for Mn2+ arises from the lack of orbital angular momentum of the state with symmetry A, and this long τe results in Mn2+ inducing especially rapid nuclear relaxation.120 The relaxation enhance- ment from Mn2+ (3d5) is also expected to be stronger than that of Cu2+ (3d9), Ni2+ (3d8), and Co2+ (3d7) due to the greater number of unpaired electrons in Mn2+, which yields a significantly larger S(S + 1) term. Nuclei that show a larger response to the metal concentration are likely in environments that are, on average, closer to the paramagnetic centers. The NMR nucleus may be closer to the The Journal of Physical Chemistry C pubs.acs.org/JPCC Article https://doi.org/10.1021/acs.jpcc.3c01396 J. Phys. Chem. C 2023, 127, 9509−9521 9514 pubs.acs.org/JPCC?ref=pdf https://doi.org/10.1021/acs.jpcc.3c01396?urlappend=%3Fref%3DPDF&jav=VoR&rel=cite-as metal binding site, as the dipolar relaxation enhancement of dissolved metals occurs through space with a 1/r6 dependence (eqs 1 and 2). Alternately, the fraction of the species coordinated to the transition metal may be larger (eqs 5 and 6). The 7Li, 31P, and 19F NMR results in Figure 1 indicate, reasonably, that the transition metal cations are found much closer to PF6− than to Li+, presumably due to electrostatic interactions. The larger relaxation effect on 19F vs 31P nuclei is explained by the larger γI of 19F and also by the PF6− structure, as P is surrounded by, and less accessible than, electron-rich F atoms. While paramagnetic relaxation enhancement applies to all nuclides in Figure 1, 19F NMR is therefore the most suitable of these for the measurement of dissolved transition metals, particularly Mn2+. As a result, the relaxationmethodmay be readily applied to other electrolyte solutions containing fluorinated salts or solvents because they are observable with 19F NMR and should, in many cases, experience some electrostatic attraction to metal cations. 7Li NMR is least suitable for the measurement of dissolved transition metals due to cation repulsion. Although 7Li relaxation of Mn2+-containing samples shows strong linearity with metal concentration, we note that quadrupolar relaxation mechanisms may become increasingly more important at low metal concentrations, particularly for samples containing Ni2+ and Co2+, potentially resulting in nonlinear behaviour. The 1H relaxation measurements (Figure 2) show the same general behavior as the 7Li, 31P, and 19F relaxationmeasurements (Figure 1). As EMC has three 1H environments, the differences among the relaxation rates reflect the relative distances between each environment and the coordinated metal ion (from the 1/r6 dependence of dipolar relaxation in eqs 1 and 2, although it is noted that binding to the metal ions is likely highly dynamic). Transition metal coordination to EMC occurs at the carbonyl oxygen: this is consistent with the observation of the slowest relaxation arising from the ethyl CH3 (Figure 2e,i) and the observation that the ethyl CH2 (Figure 2c,g) relaxes slightly faster than the methyl group (Figure 2d,h), since the ethyl CH2 hydrogens are, on average, closer to the C�O. (In the diamagnetic electrolyte solution, the three EMC 1H environ- ments do not show equal relaxation rates; however, the trends stated here also apply to the relaxation enhancement from the diamagnetic baseline�the gradients of the lines of best fit in Figure 2 follow the order EMC ethyl CH2 > EMC methyl > EMC ethyl CH3.) These results echo the finding from a computational study, which suggested that Mn2+ would coordinate at the EMC carbonyl oxygen.133 These results are also consistent with theoretical and experimental studies of Li+ solvation, which show that metal coordination occurs preferentially at C�O for EC and linear carbonates.112,134−139 For all transition metal solutions and all nuclides, R2 is larger than R1. But whereas R2 is ∼1−2 times larger than R1 for 1H relaxation in all solutions and for 19F relaxation in Co2+-, Ni2+-, and Cu2+ containing solutions, R2 is an order of magnitude larger than R1 for 19F relaxation in Mn2+-containing solutions (Figures 1 and 2). This is likely due to the electronic relaxation time of Mn2+, which is slower than the electronic relaxation times of the other three metals.121 Dipolar relaxation processes for Mn2+ are therefore far more likely to be limited by a different correlation time. This would be relevant if, for example, there were multiple relaxation processes occurring; these could affect the R1 and R2 terms differently due to a motional component, which would only become apparent when the electronic relaxation time is sufficiently slow. Another potential reason that R2 may be much larger than R1 is the involvement of a contact term. The contact term in R1M depends on the spectral density at the Larmor frequency of the unpaired electron spin, ωS, and the correlation time for the contact interaction, τccon (eq 1). Thus, in Mn2+- containing solutions, the R1M contact term may approach 0 due to the large Larmor frequency of the unpaired electron spin and the slow electronic relaxation of the Mn2+ ion. By contrast, the R2M contact term contains a frequency-independent component. If the R2M contact term is large, and the R1M contact term is negligible, then R2 can become much larger than R1. 123 We also note that the exchange times may not be equal for all metals, as the interaction strengths with electrolyte components may differ, and this may also affect the observed relationship between R2 and R1. Unraveling the different mechanistic contributions to exchange processes may require measurements at different temperatures and magnetic field strengths, and such efforts are beyond the scope of this work. In Figure 3, although the R1 measurements do show some differences between the samples containing different amounts of Ni2+, the difference between a sample containing 2 and 8 mM Ni2+ is too small to be quantified via R1, and even falls within the error of R2 measurements. The relaxation rates should be additive at these low metal concentrations; for a solution containing both Ni2+ and Mn2+, R1 = R1d + R1p,Ni + R1p,Mn. That is, the total relaxation is expected to comprise a diamagnetic relaxation component (small), a component for the para- magnetic relaxation induced by Ni2+ (small), and a component for the paramagnetic relaxation induced byMn2+ (large). For the samples used in this work, relaxation rates alone are not sufficient to distinguish the concentrations of Ni2+ and Mn2+ when both are in solution, due to the much larger effect of Mn2+. However, the low-concentration Mn2+ relaxation measurements in Figure 4 show the potential sensitivity of this method toward measuring realistic concentrations of dissolved Mn2+. Indeed, this is shown in Figure 5a, where the quantification of Mn dissolved from LiMn2O4 in the pristine electrolyte is a good match to the 0.066 ± 0.003 mM detected by ICP-OES. This suggests that the Mn dissolved from LiMn2O4 at ∼20 °C exists as Mn2+. Mn3+ has a different S and τe than Mn2+,121 in addition to likely having a different binding affinity for the electrolyte components; therefore, different R1 and R2 values would result if a significant fraction of dissolved Mn were present as Mn3+, likely requiring further study to explore Mn3+ relaxation phenomena. It is also promising that the calibration based on Mn(TFSI)2 could be successfully applied to a sample containing Mn dissolved from LiMn2O4, suggesting that the TFSI− anion did not affect the calibration. While M(TFSI)2 salts were used in this work due to their high solubility and ready availability, we anticipate that any model compound in which the paramagnetic metal does not form a long-lived ion pair with the counterion could be used to quantify dissolution in samples retaining the same paramagnetic metal solvation shell as the calibration set. After storage at 60 °C, the relaxation measurements provided a poor estimate of the actualMn concentration (Figure 5b). This is not due to any nonlinear relaxation behavior at large Mn concentrations, as the 4.67 ± 0.05 mM concentration is well within the linear behavior shown in Figures 1 and 2 for 0−8 mM Mn2+. Although higher temperatures drive changes in relaxation behavior due to shortening of rotational and chemical exchange times and changes in electronic relaxation times, the 60 °C sample was cooled to ambient temperature before the relaxation measurements were performed; temperature is therefore not the cause of this discrepancy. While we should consider whether the poor match between relaxometry and ICP-OES results for the The Journal of Physical Chemistry C pubs.acs.org/JPCC Article https://doi.org/10.1021/acs.jpcc.3c01396 J. Phys. Chem. C 2023, 127, 9509−9521 9515 pubs.acs.org/JPCC?ref=pdf https://doi.org/10.1021/acs.jpcc.3c01396?urlappend=%3Fref%3DPDF&jav=VoR&rel=cite-as 60 °C sample occurred due toMn3+ dissolution, the results from the ∼20 °C dissolution experiment show that Mn2+ is the dissolution species. Furthermore, our previous analysis of the high-temperature sample using NMR bulk magnetic suscepti- bility shifts to determine the metal oxidation state confirmed the presence of Mn2+ and not Mn3+ in the sample.127 The issue with relaxometry of the sample stored at 60 °Cmay therefore not be related to the Mn concentration or oxidation state but rather to the presence of degradation species in the electrolyte solution. This hypothesis is now explored. First, as shown in Figure 5c, the Mn concentration estimate was greatly improved by diluting the sample 5× with pristine diamagnetic electrolyte, i.e., the estimate was more accurate when concentrations of degradation species were reduced by 5×. The paramagnetic relaxation enhancement R1p and R2p are directly proportional to fM, the molar fraction of nuclei bound to paramagnetic species (eqs 5 and 6). The fraction of nuclei that are bound to paramagnetic metal ions is a function of the number of metal ions, the metal solvation number, and the total number of nuclei in the sample. Equations 5 and 6 can be rewritten as eqs 7 and 8, in the form y = mx + c. = + +R R f R1 (1/ )1 1M M M 1d (7) = + + + + +R R R R f R ( (1/ )) ( ) ( (1/ )) ( )2 2M 2M M M 2 M 2M M 2 M M 2 M 2d (8) In the pristine electrolyte calibration solutions (Figures 1 and 2), fM was increased via the metal concentration, while the solution composition remained the same. At these relatively low concentrations, the strength of binding of Mn2+ to each of the electrolyte components should not change, and the nature of the Mn2+ complexes and τM values should also remain unchanged. That is, in the pristine solutions, the only reason for a change in the relaxation rate is a change in fM, specifically arising from a differentMn2+ concentration. However, in the heated electrolyte solution (Figure 5b), new degradation species were generated, with potentially different binding affinities for Mn2+. The 1H EC R1 and R2 values predicted a Mn concentration of 2.58 ± 0.07 mM, while ICP-OES revealed an actual concentration of 4.67 ± 0.05 mM (predictions based on the relaxation rates of PF6− and EMC were also inaccurate, with the least accurate estimates arising from the 19F PF6− relaxation). Assuming, for simplicity, a constant chemical exchange correlation time in the pristine and degraded electrolyte solutions, the measured 1H EC R1 should only change when a change in fM (the x variable in eqs 7 and 8) occurs. In the case of the degraded electrolyte, based on the measured 1H EC relaxation rates, fM,EC was small�not because there were fewer Mn2+ ions in solution (as the calibration would predict) but, we suggest, because there were fewer Mn2+ ions bound to EC. It is possible that the relaxation measurement predicts only 55% of the actual Mn concentration because the other 45% of Mn ions that are bound to EC in the pristine electrolyte solution are instead bound to another species in the degraded solution (such as PO2F2−). This is consistent with our previous work showing that the addition of different solvents to electrolyte samples containing dissolved transition metals may dramatically affect transverse relaxation enhancement of electrolyte components, presumably by altering the metal coordination shell.128 Preferential coordination of transition metals by PF6− degradation species has also been previously proposed by us128 and by others;72,140 upcoming work will also explore transition metal coordination in detail using NMR and electron paramagnetic resonance (EPR) spectroscopy. Theo- retically, if the solvation shell surrounding the 4.67 mMMn (the concentration present in the degraded electrolyte solution) comprised 6 EC molecules, this would correspond to a total displacement of 12.6 mM EC, likely by 12.6 mM of one or several other species. This is not an unreasonable level of electrolyte degradation: to generate 12.6 mM of fluorophos- phate degradation species would require the decomposition of only 1.3% of all LiPF6 in a solution of 1 M LiPF6 in 3:7 EC/ EMC. That the relaxation rates in Figure 5 predict, on average, only 58% of the total Mn concentration measured by ICP-OES is therefore consistent with the proposal that electrolyte degradation species preferentially bind to Mn2+, reducing the fraction of EC, EMC, and PF6− in the Mn2+ solvation shell. Notably, this assumes that all change in the relaxation rate derives from a change in the coordinated fraction of EC, and that the effect of exchange is negligible. This smaller coordinated fraction results in longer 1H EC, 1H EMC, and 19F PF6− relaxation rates than those seen in pristine electrolytes with similar paramagnetic metal ion concentrations, lessening the applicability of the calibration dataset. Although the metal quantification in degraded samples is subject to inaccuracies arising from small changes in the metal solvation shell, conversely, this indicates that NMR relaxometry may be applied toward understanding the solvation shell in samples with a constant metal concentration. Such an application is common in the biochemical determination of protein structures, where spin labels are attached to particular protein sites, and the resulting differential relaxation enhance- ment provides information about distances between spin labels and other nuclei.141−143 The use of NMR relaxometry to decipher metal coordination in battery electrolytes may offer new insights into dissolution and deposition processes; while it is beyond the scope of this work to analyze metal solvation in detail here, such an analysis will be presented in upcoming work. That the quantification of transition metals is less accurate when degradation species affect the metal solvation shell is a complicating factor to using the NMR method because transition metal dissolution is inherently a degradation mechanism�in particular, one that may be enhanced by the acidification of the electrolyte solution40,64,144 and the release of singlet oxygen,145 which reacts with electrolyte components.146 The idea that transition metal dissolution occurs in batteries in a manner that leaves the electrolyte solution in pristine condition is not realistic in traditional LiPF6/carbonate solutions. Hence, metal quantification via relaxometry is likely most feasible in systems where metal dissolution is substantial and electrolyte degradation is minimal. Examples include cathode symmetric cells, cells with high-voltage anodes and/or dissolution-prone cathodes (especially if operated at moderate voltages, where dissolution may outpace electrolyte degradation), and cells with more thermally, chemically, and electrochemically stable electrolyte solutions. The results in Figure 5c also show that diluting the heat- degraded sample with pristine electrolyte increases the applicability of the pristine calibration data, returning the electrolyte and the Mn2+ coordination shell to a state closer to that found in the original calibration electrolyte. Similarly, if both the pristine calibration solutions and the experimental samples are manipulated to produce the same transition metal coordination shell�such as by adding a compound that is known to chelate the dissolved metals, and the compound is The Journal of Physical Chemistry C pubs.acs.org/JPCC Article https://doi.org/10.1021/acs.jpcc.3c01396 J. Phys. Chem. C 2023, 127, 9509−9521 9516 pubs.acs.org/JPCC?ref=pdf https://doi.org/10.1021/acs.jpcc.3c01396?urlappend=%3Fref%3DPDF&jav=VoR&rel=cite-as probed by NMR in addition to the electrolyte components� then it may be possible to apply the calibration to the degraded experimental samples without issue. However, both of these proposed adaptations of the method alter the electrolyte sample, and diluting the samples with pristine electrolyte obviously increases the minimum metal concentration required in the original sample. These adaptations may therefore not be feasible for metal quantification in operando NMR cells. Operando quantification is also further complicated by the possibility of multiple dissolved oxidation states (e.g., paramagnetic Mn2+ and Mn3+ or paramagnetic Co2+ and undetectable diamagnetic Co3+) or multiple dissolved metals (e.g., paramagnetic Fe2+ or Fe3+ from the dissolution of stainless steel cell parts). Caution is therefore needed in adapting the ex situ results presented here for any operando work. ■ CONCLUSIONS In this work, 7Li, 31P, 19F, and 1H NMR relaxation rates were used to indirectly quantify the concentration of dissolved transition metals in lithium-ion battery electrolyte solutions. Calibrations with M(TFSI)2 salts showed that NMR relaxation rates are proportional to the metal concentration and may be used to determine the concentrations of dissolved paramagnetic metals, with the Mn(TFSI)2 salt inducing the same relaxation behavior as Mn2+ dissolved from LiMn2O4 at ∼20 °C. In our solutions, 1H and 19F relaxation rates are more sensitive than 31P and 7Li relaxation rates to metal concentration, and Mn2+ induces faster relaxation rates than Co2+, Ni2+, or Cu2+; hence, the method is most sensitive to Mn2+. However, it is important that the solution composition and metal oxidation state are known and constant between the calibration and experimental samples: changes in the transition metal solvation shell, which may occur due to electrolyte degradation, impede the accuracy of relaxometric quantification. Relaxation rates also contain information about transition metal solvation, which may be another promising application of the method. Understanding transition metal dissolution behavior, including factors that enhance dissolution, may permit optimization of strategies to mitigate capacity losses induced by transition metal dissolu- tion−migration−deposition processes. ■ ASSOCIATED CONTENT *sı Supporting Information The Supporting Information is available free of charge at https://pubs.acs.org/doi/10.1021/acs.jpcc.3c01396. Expanded view of 7Li and 31P relaxation; relationship between determination coefficient and relaxivity in Figures 1 and 2; limit of detection results with scale extended to 0.5 mM Mn2+; tabulated relaxation rates of samples containing 0, 0.001, and 0.005 mM Mn2+; and discussion of second LiMn2O4 experiment (PDF) ■ AUTHOR INFORMATION Corresponding Author Clare P. Grey − Yusuf Hamied Department of Chemistry, University of Cambridge, Cambridge CB2 1EW, U.K.; The Faraday Institution, Didcot OX11 0RA, U.K.; orcid.org/ 0000-0001-5572-192X; Email: cpg27@cam.ac.uk Authors Jennifer P. Allen − Yusuf Hamied Department of Chemistry, University of Cambridge, Cambridge CB2 1EW, U.K.; The Faraday Institution, Didcot OX11 0RA, U.K.; orcid.org/ 0000-0002-9800-9382 Christopher A. O’Keefe − Yusuf Hamied Department of Chemistry, University of Cambridge, Cambridge CB2 1EW, U.K.; The Faraday Institution, Didcot OX11 0RA, U.K. Complete contact information is available at: https://pubs.acs.org/10.1021/acs.jpcc.3c01396 Notes The authors declare no competing financial interest. ■ ACKNOWLEDGMENTS J.P.A. thanks Nigel Howard of the Yusuf Hamied Department of Chemistry’s Microanalysis service for performing ICP-OES measurements; Josef Granwehr, Conrad Szczuka, Evan Zhao, and Zachary Ruff for helpful discussions; and the Natural Sciences and Engineering Research Council of Canada and the Royal Society for funding. This work was also funded by the Faraday Institution via grant number FIRG001. ■ REFERENCES (1) Li, W.; Song, B.; Manthiram, A. High-Voltage Positive Electrode Materials for Lithium-Ion Batteries. Chem. Soc. Rev. 2017, 46, 3006− 3059. (2) Xiao, B.; Sun, X. 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