Open Access Article
Sophie M.
Gutenthaler
a,
Satoru
Tsushima
bc,
Robin
Steudtner
b,
Manuel
Gailer
a,
Anja
Hoffmann-Röder
a,
Björn
Drobot
*b and
Lena J.
Daumann
*a
aDepartment of Chemistry Ludwig-Maximilians-University Munich Butenandtstraße 5-13, 81377 München, Germany. E-mail: lena.daumann@lmu.de
bInstitute of Resource Ecology Helmholtz-Zentrum Dresden-Rossendorf e.V. Bautzner Landstraße 400, 01328 Dresden, Germany. E-mail: b.drobot@hzdr.de
cInternational Research Frontiers Initiative, Institute of Innovative Research, Tokyo Institute of Technology, Meguro 152-8550, Tokyo, Japan
First published on 30th June 2022
Lanmodulin (LanM), a naturally lanthanide (Ln)-binding protein with a remarkable selectivity for Lns over Ca(II) and affinities in the picomolar range, is an attractive target to address challenges in Ln separation. Why LanM has such a high selectivity is currently not entirely understood; both specific amino acid sequences of the EF-Hand loops and cooperativity effects have been suggested. Here, we removed the effect of cooperativity and synthesised all four 12-amino acid EF-Hand loop peptides, and investigated their affinity for two Lns (Eu(III) and Tb(III)), the actinide Cm(III) and Ca(II). Using isothermal titration calorimetry and time-resolved laser fluorescence spectroscopy (TRLFS) combined with parallel factor analysis, we show that the four short peptides behave very similarly, having affinities in the micromolar range for Eu(III) and Tb(III). Ca(II) was shown not to bind to the peptides, which was verified with circular dichroism spectroscopy. This technique also revealed an increase in structural organisation upon Eu(III) addition, which was supported by molecular dynamics simulations. Lastly, we put Eu(III) and Cm(III) in direct competition using TRLFS. Remarkably, a slightly higher affinity for Cm(III) was found. Our results demonstrate that the picomolar affinities in LanM are largely an effect of pre-structuring and therefore a reduction of flexibility in combination with cooperative effects, and that all EF-Hand loops possess similar affinities when detached from the protein backbone, albeit still retaining the high selectivity for lanthanides and actinides over calcium.
As nature has always been an inspirational source for scientists, it is convenient that Lns were found to be biologically essential less than 10 years ago with the finding of Op den Camp and co-workers, who first reported a Ln-dependent methanotrophic bacterium in 2014, opening up a completely new research field.8 Nakagawa and co-workers had demonstrated earlier in 2012 that M. extorquens AM1 (abbreviated to AM1) can express a previously uncharacterised methanol dehydrogenase (MDH) upon addition of La(III) to the growth medium.9 Along with SolV, this organism belongs to the ones best studied for their lanthanide metabolism.10 In particular, M. extorquens AM1 is already strongly linked with bio-inspired REE-recycling strategies as it can, for example, directly leach Lns from magnet swarf.11 Furthermore, AM1 has also been evolved to tackle the rising gadolinium levels in waterways, stemming from the widespread use of MRI contrast agents.12
In the past decade, it has been firmly established that Ln-using bacteria incorporate Lns in the active site of quinone-dependent MDH,13,14 an enzyme class formerly only associated with calcium.15–18 As calcium and Lns have similar ionic radii, chemists have used Lns as substitutes for calcium to investigate Ca(II)-binding proteins and enzymes by using the excellent spectroscopic properties of these metals long before it was discovered that Lns are biologically relevant.19,20 Therefore, it is not surprising that the first discovered naturally occurring Ln(III)-binding protein, lanmodulin (LanM), isolated from M. extorquens AM1, belongs to the class of EF-Hand proteins, a protein class usually associated with binding strongly to calcium (see Fig. 1). The EF-Hand motif refers to a structural helix–loop–helix unit in which two alpha-helices are linked by a short 12-amino acid calcium(II)-binding loop.21 LanM has four EF-Hands with metal-binding loops of which three have been reported to have a picomolar affinity for Lns and the fourth has lower, micromolar affinity.22–24 The affinity for Lns has been demonstrated to be 100-million-fold higher for Lns than for calcium.22 In addition, it was recently shown that LanM has a high affinity not only for Lns, but also for actinides (Ans).25–27 Interestingly, all conducted studies observe a higher affinity of LanM for the Ans than for the Lns.25–27
![]() | ||
| Fig. 1 The protein LanM (PDB 6mi5) and the four synthesised EF-Hand loop peptides (named after the four EF-Hands of the full protein LanM) investigated in this study. | ||
Due to the aforementioned similarities between calcium and Lns, calcium-binding proteins such as calmodulin (CaM) have been used in the past as template for specific Ln-binding peptides.28–31 Particularly noteworthy are lanthanide-binding tags (LBTs), which have been developed starting from EF-Hand binding loop sequences as a tool for analysing protein structures and protein–protein interactions by incorporating those short Ln-binding amino acid sequences (the LBTs) into the protein structure, which enables analysis via methods involving luminescence, NMR spectroscopy and others.19,32–37 Additionally, uranyl-binding peptides, based on the EF-Hand sequences of CaM, are known.38–40
LanM, a protein, designed by nature to bind Lns with a high affinity for Ans, is an attractive target for the development of REE-recycling and Ans-separation methods.24,26,27,41,42 With LanM as inspiration, de novo proteins,43 peptides44 and organic ligands can be envisioned. An example of such a bio-inspired approach is the use of pyrroloquinoline quinone (PQQ; the cofactor of the aforementioned Ln-MDHs) in the separation of Lns by precipitation in aqueous solution.45 A key step in using natural ligand design as a foundation to develop potent Ln-binding ligands is understanding why, for example, certain amino acid sequences or structural motifs are beneficial. For CaM numerous extensive studies and systematic analyses of which amino acid combinations in which positions are most common in CaM and related proteins were conducted.21,46 Features that decrease Ca(II) affinity while increasing the affinity towards Lns or other trivalent ions have already been reported in the literature.47–49 Remarkably, some of these features can be found in lanmodulin. For example, aspartic acid can be found in the ninth position in all four EF-Hands of lanmodulin22 and the presence of an acidic amino acid in this specific position has already been shown to be beneficial in order to decrease the Ca(II) selectivity and increase the affinity for trivalent ions.47–49 However, aspartic acid in position nine is not highly uncommon in canonical EF-loops as this position is occupied by Asp in almost a third of CaMs and CaM-like proteins.21 More unusual is the presence of proline in position two (again in all four LanM EF-Hands), which is why it was suggested by Cotruvo and co-workers22 that this might be one reason for lanmodulin's unique features. This has already been investigated on the protein level via molecular dynamics simulations and 2D IR.50 The authors found when exchanging the proline in position two against an alanine that the selectivity for the early lanthanides decreases. This was attributed to the resulting higher flexibility of the binding site, which can bind to a broader range of ions, highlighting the proposed role of proline. Interestingly, this is also supported by a study published in 2004
51 in which 36 amino acid-long helix–loop–helix peptides derived from a Ca(II)-binding EF-Hand protein were investigated, revealing that by replacing a proline residue with glycine, the affinity for Ca(II) can be further increased, demonstrating that the presence of proline decreases the selectivity for Ca(II) and increases the selectivity for trivalent ions. The lower affinity of EF-Hand 4 in LanM is suggested to be mainly due to the presence of an asparagine residue in position one (EF1–EF3, D at position 1), which is normally occupied by an aspartic acid residue in EF-Hand proteins.21
One possibility to take a closer look at the differences between LanM's four binding loops fully detached from cooperativity and other effects generally observed in proteins, such as pre-structuring etc., is to take the protein apart and look at it on the peptide level.
Therefore, this study brings us one step closer to understanding LanM high affinity for Lns by comparing the EF-Hand-binding loops as four isolated 12-amino acid peptides (see Fig. 1). We use time-resolved laser-induced fluorescence spectroscopy (TRLFS), circular dichroism (CD) spectroscopy, isothermal titration calorimetry (ITC) and molecular dynamic (MD) simulations to investigate the metal-binding properties of the four LanM-based peptides with Eu(III), Tb(III), Cm(III) (selected as representatives of Lns and Ans based on their excellent fluorescence properties) and Ca(II) and thereby contribute to understanding of the differences between the four metal-binding sites in the full protein.
The data can be fully explained by the formation of three species: a 2
:
1, a 1
:
1 and a 1
:
2 peptide to Eu(III) complex. The formation of the 2
:
1 peptide to Eu(III) complex is suggested by the slight increase in enthalpy at the beginning of the titration. With increasing Eu(III) concentration the first dominant species is the 1
:
1 peptide to Eu(III) complex, whereas at high Eu(III) concentration a 1
:
2 peptide to Eu(III) complex seems to be formed, which is responsible for the slight offset between the initial fit and the raw data when only considering a 1
:
1 complex. However, the 2
:
1 peptide to Eu(III) complex is not dominant and not present in significant amounts, which is why it was not possible to fully thermodynamically characterise it (compare with Section 4.3 of the ESI and Fig. S4† for more details). Therefore, this species was neglected during the final analysis by excluding the second titration step and only fitting the 1
:
1 and 1
:
2 peptide to Eu(III) complexes (see Fig. 2 and Fig. S6–S9† for the 2-component analysis). For the 1
:
1 peptide to Eu(III) complexes the reaction enthalpy (ΔH) is slightly higher than for the 1
:
2 complexes. In general, for all four peptides very similar values (ΔH1:1 = 20–24 kJ mol−1 for EF1–EF4; ΔH1:2 = 21–19 kJ mol−1 for EF1–EF3) were obtained. Solely for the 1
:
2 complex of EF4, a lower reaction enthalpy can be observed (13 kJ mol−1). For the 1
:
1 complexes the Gibbs energy (ΔG) is around −29 kJ mol−1 and for the 1
:
2 complexes it is around −20 kJ mol−1, showing that for both the complex formation is thermodynamically favourable, which suggests, together with the observed endothermic behaviour, an entropy-driven binding event. Not only the metal-binding process, but also the stripping of the first and second hydration shells of the Eu(III) aquo ion (increase in entropy),49 as well as the presumed dehydration of the peptide (increase in entropy) in addition to structural changes upon metal binding, contribute to the final thermogram. As the complex formation is similarly exergonic for all peptides, the lower enthalpy of the 1
:
2 EF4 to Eu(III) complex goes hand in hand with a lower entropic component (ΔH, ΔG, and −TΔS for both species are shown in Table S4†). In addition to the thermodynamic variables, the determined complex binding affinities (KD) show very similar values for all four peptides. For the formation of a 1
:
1 complex the Eu(III) affinity is in the lower micromolar range (around 8.5 μM), while the affinity for the formation of a 1
:
2 complex is significantly lower (see Table 1). This is interesting as at least for EF4 – the proposed low-affinity site in LanM22 – a lower affinity was expected. However, on the amino acid level no significant differences between the four EF-Hands could be determined. This suggests that the different binding affinities for the four binding loops in LanM are not primarily caused by differences in the amino acid sequences, but dominated by cooperative effects.
| EF–Eu(III) complex | K D (μM) measured by ITC | K D (μM) measured by TRLFS | ||
|---|---|---|---|---|
1 : 1 |
1 : 2 |
1 : 1 |
1 : 2 |
|
| EF1 | 8.55 ± 0.17 | 325 ± 93.0 | 4.39 ± 2.21 | 30.5 ± 12.7 |
| EF2 | 8.61 ± 0.04 | 309 ± 49.5 | 4.44 ± 0.82 | 36.9 ± 3.17 |
| EF3 | 8.02 ± 1.23 | 511 ± 169 | 3.05 ± 2.83 | 20.5 ± 10.7 |
| EF4 | 8.85 ± 0.16 | 456 ± 229 | 2.42 ± 1.94 | 50.5 ± 19.3 |
The observations made by ITC were confirmed and investigated in depth by TRLFS titration experiments. One advantage of this method is that very low concentrations can be used, perfectly suited to investigating affinities in the micromolar or even nanomolar range while using only small sample amounts. Furthermore, the number of bound water molecules can be estimated, giving first hints towards how many amino acid residues are involved in the metal binding as well as structural insights. This method has already been applied successfully for the investigation of CaM and LanM in the literature.25,57 In general, the metal-binding information is obtained due to spectral deconvolution by parallel factor analysis (PARAFAC), which is a robust analytical tool for determining unique explanatory factors directly.
For comparison the first set of experiments was performed by adding an Eu(III) solution to the respective peptide in solution (the analysed data for the Eu(III)/EF1 experiment are shown in Fig. 3A and B). The analysis of these experiments strongly supports the formation of two different peptide to Eu(III) complexes, as suggested by ITC. A comparison of the chemical species distribution obtained by those two methods is shown in Fig. 4. The species distributions are, especially for the 1
:
1 complex, in good agreement and show in general a similar trend for both methods. The KD values determined by TRLFS (see Table 1) for the 1
:
1 complex are of the same order of magnitude as the values obtained for the ITC experiment while a larger offset for the 1
:
2 complex can be observed. In general, the accuracy of stability constants for stepwise complexation decreases with increasing stoichiometry, since the value for the complex with higher stoichiometry depends on the value of the precursor complex. Furthermore, differences in the KD values (and thus speciation) between the two methods are likely due to the different set-ups. Since there are no precise pKa values for the coordinating functional groups, we are providing KD values instead of log(β) values – such affinities depend on system compositions, e.g. concentration regimes.
![]() | ||
| Fig. 4 Chemical species distribution observed in Eu(III) to EF1 titration experiments via ITC (A) and TRLFS (B), the corresponding ITC and TRLFS data are shown in Fig. 2 and 3A/B. | ||
The formation of a 2
:
1 peptide to Eu(III) complex as indicated by ITC could not be confirmed by TRLFS. This is not unexpected as this complex would be expected to only form at very low Eu(III) concentrations in comparison with the respective peptide, thus this species remains elusive with this method.
Generally, it is more beneficial for TRLFS experiments to titrate the peptide to the metal solution. Using this set-up solely the 1
:
1 complex could be observed (see Fig. 3C and D). The obtained lifetimes match those found in the reverse titration experiment for the 1
:
1 complexes described earlier (compare Fig. 3B and D and Table S5† and Table 2).
EF–Eu(III) 1 : 1 complex |
EF–Tb(III) 1 : 1 complex |
EF–Cm(III) 1 : 1 complex |
||||
|---|---|---|---|---|---|---|
| K D (μM) | τ (μs)/qwater | K D (μM) | τ (μs) | K D (μM) | τ (μs)/qwater | |
| EF1 | 5.50 ± 0.57 | 186.2 ± 3.7/5.1 | 8.47 ± 0.325 | 450 ± 18.0 | 2.28 ± 0.104 | 143.1 ± 19/3.7 |
| EF2 | 6.52 ± 0.48 | 181.8 ± 8.6/5.3 | 8.24 ± 1.31 | 469 ± 5.30 | 2.86 ± 0.084 | 147.7 ± 18/3.5 |
| EF3 | 7.42 ± 1.04 | 182.1 ± 2.2/5.3 | 8.46 ± 0.864 | 502 ± 11.0 | 2.77 ± 0.229 | 137.4 ± 15/3.9 |
| EF4 | 7.56 ± 1.49 | 186.3 ± 4.3/5.1 | 7.85 ± 1.23 | 502 ± 4.00 | 2.34 ± 0.088 | 142.7 ± 3.0/3.7 |
Next, the Ca(II)-binding affinity of the four peptides was examined using ITC, TRLFS and CD titration experiments. In contrast to the ITC experiments with Eu(III), the addition of Ca(II) to the peptide solutions showed no complex formation, even though the added Ca(II) concentration was five times the amount used in the Eu(III) set-up. The obtained thermograms hardly deviated from the background titrations (Fig. S10 and S11†). This clearly shows that via ITC no Ca(II) binding to the peptides could be observed. However, an affinity in the molar range cannot be fully ruled out with this technique, as ITC is better suited to systems with an affinity in the millimolar to nanomolar range. One could conclude, based on this first comparison between Ca(II) and Eu(III), that the high selectivity for Lns over Ca(II) for which LanM is known22 is preserved in the short amino acid sequences of the binding loops. However, a significantly lower Ca(II) affinity of short EF-Hand-based peptides is to be expected, based on the available literature on Ca(II)-binding protein-inspired small peptides. It has been shown multiple times that the Ca(II) affinity is significantly reduced in such peptides and strongly depends on the length of the amino acid chain. For most of the reported 12 AA peptides no Ca(II) affinity or solely a low affinity in the millimolar range is reported while longer peptides (starting at around 20 AA) have affinities in the higher micromolar range.58–61 One reason for the absence of even a millimolar affinity between Ca(II) and the LanM peptides could be the proline residue at position two. It was shown as early as 2004 that the presence of a proline residue significantly reduces the affinity for Ca(II) in protein-inspired peptides.51
The observations made using ITC for the Ca(II) binding affinity were further confirmed by TRLFS experiments. For this, Eu(III) was added to a sample containing EF1 and a high excess of Ca(II). The analysis showed no significant differences for the Eu(III) to EF1 dataset (compare Fig. 3A/B and Fig. S13†) despite the high concentration of Ca(II) present. The spectral deconvolution yielded again the presence of three species, the free Eu(III) aquo ion, a 1
:
1 and a 1
:
2 peptide/Eu(III) complex, each with lifetimes matching the values obtained earlier within the experimental error (compare Table S5, Table S6† and Table 2).
In addition, the influence of Eu(III) and Ca(II) on the structure of the four peptides was investigated via CD spectroscopy. For this, titration experiments in which the peptide concentration was kept constant while the metal concentration was increased were performed. The obtained spectra are shown in Fig. 5. In the absence of Ca(II)/Eu(III) the CD spectrum shows for all peptides a distinct minimum around 200 nm and a slight shoulder at 222 nm, suggesting a random-coil conformation with very few secondary structure elements.62 The addition of Eu(III) in increasing amounts leads to a slight decrease in (molar) ellipticity at 222 nm and a slight increase in (molar) ellipticity at around 200 nm. Isodichroic points are visible around 210 nm. The decrease in (molar) ellipticity at 222 nm is associated with an increase in α-helicity caused by metal binding, as reported in the literature.28,29,31,63,64 The observed changes appear to increase within the peptide series from EF1 to EF4. The first two EF-Hand peptides as well as EF3 and EF4 show very similar changes in the CD upon Eu(III) addition. EF4 shows slightly more secondary structure content at an excess of Eu(III) in comparison with e.g. EF1 when looking at the (molar) ellipticity at around 220 nm and 222 nm. However, no shift in the minimum at 220 nm towards 210 nm, which would be typical for larger peptides/proteins with a high α-helical content, can be observed.62 When normalising the change in ellipticity at 222 nm with respect to the Eu(III) amount, a very similar progression for all four peptides can be observed (Fig. S5C†), suggesting that the peptides undergo structural changes to a similar degree at the same Eu(III) equivalents, supporting the observed similar binding affinities. In contrast to Eu(III), the addition of Ca(II) does not trigger any conformational change for any of the peptides. This again strongly supports the conclusions drawn from the ITC and TRLFS experiments: at the tested conditions the LanM peptides do not bind Ca(II) to a significant degree.
![]() | ||
| Fig. 5 CD spectra of Eu(III) (top) and Ca(II) (bottom) titration experiments with all four EF-Hand peptides at pH 6.6 (10 mM MOPSO, 100 mM KCl). | ||
As the CD experiment clearly showed a structural change upon Eu(III) addition, the experimental observations were further investigated by molecular dynamics simulations. Calculations of the four EF-Hand loop peptides were performed using two different sets of initial structures. A first set of MD simulations was performed by taking the local structures of the EF-Hand loop from the NMR structure of LanM23 (PDB 6mi5) and removing the residual protein. As the metal-binding loop of EF-Hand 4 is not occupied with a metal in the structure for the peptide EF4, the NMR structure of EF-Hand loop 1 was taken and the sequence “mutated”. These calculations converged to structures (Table S9†) in which Eu(III) is fully coordinated by amino acid residues and there is virtually no water except for EF4 in which two water molecules are coordinated to Eu(III). These calculations show the high potential of the amino acid sequence for Ln(III) coordination, but from our experimental observations it became clear that these calculations do not match the experimental evidence. From the experiments we observed micromolar binding affinity for Eu(III) with about 5 water molecules completing the Eu(III) coordination sites when in a 1
:
1 complex (calculated from the luminescence lifetimes, see Table 2 and Table S5†) as well as very few secondary structural elements in the absence of metal, which increases upon Eu(III) binding (Fig. 5). Therefore, a more realistic set of simulations was performed in the presence and absence of Eu(III) without any initial restraints. Each peptide was initially prepared as a “string” having the sequences of the corresponding EF-Hand loop and was allowed to freely wrap around Eu(III). This second set of simulations converged to a totally different set of structures than the first simulation experiment, thereby better matching the experimental data. Eu(III) is coordinated over fewer amino acid residues and on average by about four to five water molecules (Table S10†). RMSD (root-mean-square deviation) plots of the simulations for EF1 with and without Eu(III) show that that the structure with Eu(III) has converged well (Fig. S19†). The coordination of EF1 to Eu(III) based on the simulations is shown in Fig. 6.
![]() | ||
| Fig. 6 Representative ball-and-stick drawing of Eu(III)-bound EF-Hand 1 from the MD trajectory. Grey ribbon depicts the peptide backbone (orange, Eu; blue, N; black, C; red, O; white, H). | ||
Even though the association of the peptides with the metal is only through 2 to 4 residues (in contrast to 5 to 6 residues in structures obtained when starting from the NMR solution structure), the peptide structure is well preserved during the simulation in comparison with those without metals (Fig. 7). In the absence of Eu(III) the peptide flexibility is very high and retains ill-defined secondary structures, and only after the addition of Eu(III) upon metal binding is a more organised structure obtained, which is in good agreement with the observations made using CD spectroscopy (compare Fig. 5 and 7). This observation is also further confirmed through DSSP analysis (Define Secondary Structure of Proteins, a hydrogen bond estimation algorithm) of the MD trajectories (Fig. S18†). At this point a recently published new set of 12-6-4 Lennard–Jones-type parameters should be mentioned, which has been developed to reproduce binding energies for La(III), Y(III), Ca(II) and Mg(II) and tested on the EF-Hand loop EF1 of LanM and CaM.65 However, as these simulations were not performed for Eu(III) and starting from the NMR solution structure geometry, no comparison can be drawn here.
:
1 complex. The obtained KD values are also in the lower micromolar range, suggesting a very similar binding affinity for Tb(III) as well as Eu(III) (see Table 2). Overall, the Tb(III) titrations strongly support the observations already made with Eu(III).
The analogously conducted experiment with Cm(III) again pointed out the similarity of the four different peptides: the binding affinities for Cm(III) are in the same range (Table 2). A comparison of Cm(III) and Eu(III) luminescence lifetimes after interaction with the full protein25 and isolated EF-Hand loop peptides further supports the current conclusions from experiment and simulation. The luminescence lifetimes were significantly shorter for the EF-Hand loop peptides compared with the full protein (180 μs vs. 370 μs
25 for Eu(III) and 140 μs vs. 200 μs
25 for Cm(III)). This indicates more water and less peptide functionalities in the first coordination sphere of the metal centre. The analysis suggested that the affinity for Cm(III) is slightly higher than for both investigated lanthanides (2–3 μM). In addition to the fitted affinity the calculated water molecules based on the luminescence lifetime also show on average one water molecule less, which is coordinated to Cm(III) when compared with Eu(III), again indicating a tighter binding. This nicely fits into the observations made in the literature for LanM, which all showed that the naturally Ln-binding protein favourably binds actinides.25–27 Our data show that this preference is preserved even in these short peptides.
:
1 peptide/Eu(III) and peptide/Cm(III) complexes as well as the presence of the respective free aquo ions (see Fig. 9). In this direct setting, we were able to confirm the slightly higher affinity for Cm(III) over Eu(III) discussed above.
In the future, modifications of the natural EF-Hand loop peptides towards higher selectivity for Ans over Lns can be envisioned. It has already been shown in the literature68 for LBTs that by substituting the aspartic acid in position 5 with a cysteine or a 2-methylenepyridine group, the selectivity for Ans over Lns can be increased by a factor of 10.
Although the affinity of the peptides compared in this study is significantly reduced when compared with the full protein LanM, remarkable affinities for such short peptides were reached. For the full protein calmodulin, a natural Ca(II)-binding protein which also has a higher affinity for Lns/Ans than Ca(II), similar average KD values are reported in the literature57 (6.6 μM for Eu(III)) as for the isolated EF-Hand loop peptides of LanM. This indicates the great potential of these sequences in f-element accumulation processes as required by e.g. efficient recycling strategies.
Footnotes |
| † Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d2qi00933a |
| ‡ Fair is set in quotes to highlight that such an experiment also has limitations due to the different sensitivities of Eu(III) and Cm(III). |
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