Jonas
Wielinski
*ab,
Francesco Femi
Marafatto
ac,
Alexander
Gogos
ad,
Andreas
Scheidegger
a,
Andreas
Voegelin
*a,
Christoph R.
Müller
e,
Eberhard
Morgenroth
ab and
Ralf
Kaegi
a
aEawag, Swiss Federal Institute of Aquatic Science and Technology, Überlandstrasse 133, 8600 Dübendorf, Switzerland. E-mail: jonas.wielinski@eawag.ch; andreas.voegelin@eawag.ch; Tel: +41 58 765 5336 Tel: +41 58 765 5470
bETH Zürich, Institute of Environmental Engineering, 8093 Zürich, Switzerland
cSwiss Light Source, Paul-Scherrer-Institute (PSI), 5232 Villigen, Switzerland
dEMPA, Swiss Federal Laboratories for Materials Science and Technology, 9014 St. Gallen, Switzerland
eETH Zürich, Institute of Energy Technology, 8092 Zürich, Switzerland
First published on 30th January 2020
Synchrotron hard X-ray spectroscopy with focussing optics allows recording X-ray fluorescence (XRF) maps at energies around element specific X-ray absorption edges. Stacking multiple XRF maps along the energy axis yields chemical images that contain spatially resolved information on the speciation of the absorber in the sample matrix at the micrometre scale. Short dwell times needed to keep measurement time and radiation-induced sample changes within acceptable limits result in spectral noise that affects the uncertainty in data analysis. In this study, we develop a model to quantify the uncertainty associated with the processing of XRF image stacks using Bayesian inference. To demonstrate the potential of our approach, the model is applied to stacks of XRF maps collected around the copper (Cu) K-edge (pixel size: 3 × 3 μm2, map sizes: 500 × 500 μm2). The investigated samples include digested sewage sludge spiked with either CuO nanoparticles (NP) or dissolved CuSO4 and their corresponding ashes obtained through incineration. The chemical imaging data reveal differences in species distribution between sludge spiked with CuO NP or dissolved Cu. These differences disappear during the incineration process and the resulting ashes exhibit almost identical Cu species distribution. The uncertainty analysis approach developed in this study can be used for data interpretation, but can also be used for the planning of chemical imaging experiments at synchrotron beamlines.
The new possibilities offered by the chemical imaging attracted increased attention in environmental sciences12,13,17–21 where elements of interest often occur at low concentrations (e.g., Cu in digested sewage sludge 480–700 mg kg−1) and unevenly distributed in the sample matrix.12 Because of the potential beam damage induced by high photon flux densities, only a limited number (typically ranging from 3–10)13,17 of XRF maps around an X-ray absorption edge of a specific element of interest may be recorded to derive the chemical speciation of the absorber atom at the micrometre scale.22 Nevertheless, caused by the short dwell times (few milliseconds) and low element concentrations, data acquired with even the most advanced detector systems23 contains increased amounts of noise compared to spectra recorded on bulk samples using longer dwell times (up to seconds).12 Therefore, speciation information may be limited to the oxidation state of the absorber, or to major species classes rather than individual chemical forms. XAS and chemical imaging data processing, including the determination of the appropriate number of spectral components using principle component analysis, have considerably improved over the last decades.24–26 Furthermore, strategies and guidelines to reduce uncertainty by optimizing measurement conditions are available in the literature.27,28 Studies investigating the uncertainty associated with species information extracted from hard X-ray of chemical image stacks are still lacking, however. In this study, we therefore developed a model/algorithm to quantitatively assess the impact of uncertainty on the interpretability of chemical images derived from spatially resolved XRF maps. The usefulness of the model/algorithm was demonstrated based on chemical images recorded on digested sewage sludge that had been spiked with copper oxide nanoparticles (CuO-NP) or dissolved Cu2+ (CuSO4) as well as on their corresponding ashes. These samples that have previously been examined by bulk XAS, but information on the spatial distribution of Cu and of individual Cu species in the sludge and corresponding ashes may be relevant as well for the risk and life cycle assessment of engineered nanomaterials (details in the ESI Section S1†).
Complementary XAS measurements of small areas (3 × 3 μm2) referred to as point-XANES (pXANES) were conducted on selected points of interest (POI). POI were identified based on the Cu distribution maps. pXANES spectra were recorded from 8958 eV to 9060 eV corresponding to −21 eV pre- and 81 eV post-edge. The step size was 2 eV up to 10 eV before the edge, 0.5 eV up to 60 eV past the edge and 1.5 eV up to 81 eV above the edge. The integration time was 400 ms per energy step, leading to 88 s total exposure time per POI. Three spectra were recorded on each POI.
Reference materials (CuS (covellite), CuFeS2 (chalcopyrite), CuO (tenorite), CuSO4 (copper sulphate), CuFe2O4 (cuprospinel) and Cu2O (cuprite)) were prepared as 7 mm pellets in a cellulose matrix and measured in transmission mode using an ion chamber (I0) and a X-ray diode (It). Reference materials of Cu(+I/+II) bound to humic acid were frozen into ceramic windows (4 × 8 mm) and stored in liquid nitrogen. An aliquot of the CuO-NP that were spiked to the digested sewage sludge29 were prepared as 7 mm pellet and XAS data was acquired in transmission mode. The XANES data was identical to the tenorite XANES, which was therefore used for further evaluations.
All samples (XRF maps and pXANES) and reference materials were measured at cryogenic temperatures using a liquid nitrogen cryo jet (Oxford Instruments plc.) and setting the temperature at the nozzle to 100 K.
The spectra of the reference materials and pXANES spectra were imported into Athena31 for merging and normalization. For linear combination fits (LCF) to XRF maps, the reference material spectra were treated as described for the XRF maps. For LCFs to the pXANES spectra data treatment was done as for bulk XANES. LCFs were performed over the entire energy range (−21 eV ≤ E0 ≤ 81 eV). If not indicated otherwise, data processing and evaluation was performed using Matlab R2017b.
sample = μreferences + , | (1) |
sample = [μsample(E1),μsample(E2), …, μsample(E7)]T. | (2) |
The matrix μreferences is a 7 × 6 matrix containing the normalized X-ray absorption coefficients at different energies E1, …, E7 of the six selected reference materials (Fig. S1†). The vector contains the fitting parameters (with ∀xi ≥ 0) in the experimental spectrum (sample) where = [ε1, …, ε7]T cumulates the experimental errors. The vector represent the fractions of the respective spectral components (reference spectra) best reproducing the experimental spectrum. In XAS data analyses, multiple regression tools or least square methods embedded in different software packages are routinely employed to solve such mathematical problems.31–33 In a previous study, we used principle component analysis and target transform to show that our samples were best described by a linear combination of six reference spectra.29 We assumed that the error term contained all elements of sample that were not represented by the six references. The entries of the error term were considered as noise, although they may include contributions of additional unidentified spectral components.
Abe et al.28 recommended categorizing the noise related to beamline properties and detection systems into (i) stochastic noise, (ii) electronic noise, (iii) X-ray instability and (iv) mechanical motion of sample and optics. These recommendations were not specifically drafted for chemical imaging but X-ray absorption fine structure (XAFS) measurements in general. For further simplification of the present computations, we combined the points (i) and (ii) and points (iii) and (iv) and refer to them by the uncertainty resulting from the electronics/detection system and the sample matrix–beam-interactions, respectively. The former will be referred to by σ(d) (d: detector), the latter one by σ(m)j (m: matrix). The matrix uncertainty cumulates all uncertainties related to the sample and the sample stage, e.g., uncertainty derived from the linear interpolation assumption (Section 2.3) correcting for the imprecision of the stage setting (in micrometre) compared to the heterogeneities within the sample and the dimension of the beam (here 3 × 3 μm2). Time dependencies were neglected as all measurements were performed with constant integration times. By ‘uncertainty’ we refer to the standard deviation of a normal distribution with the mean at the determined value of the normalized X-ray absorption coefficient. This will be discussed in detail in the following paragraphs.
To derive the distribution of the uncertainty we evaluated a Cu-Kα1 and Cu-Kα2 emission spectra recorded by an energy-dispersive fluorescence detector. While the Cu-Kα1,2 emission spectrum can be described by multiple narrow Lorentzians,34 the geometry of the recorded fluorescence peak is mainly determined by the energy resolution of the detector35 (black curve, Fig. 1a, in more detail in Fig. S3†).
Fig. 1 (a) Graphical representation of the observation model. The black curve represents the calculated Cu Kα fluorescence signal (Signalcalculated) reproduced from Sun et al.,35 the grey curve represents the signal related to detector noise (Signaldetector) and the red curve represents the expected signal (Signalexpected = Signalcalculated + Signaldetector). The red shaded area between the two vertical grey lines E1 and ENE represents the intensity Ik which corresponds to the integration of the expected signal (Signalexpected) over all detector channels between E1 and ENE. (b) Histogram of the frequency of occurrence of intensities Ik. Contributions to Ik were balanced between I(m)k and I(d)k, thus neither contribution dominated the other. The dotted lines indicate the mean value and ± one standard deviation. Although the computation was done for Ik, the distribution also represents the distribution of μmeasured, because, μ ∝ Ik where the mean is μmean and the standard deviation is σ(m)j + σ(d) (compare eqn (8)). |
The detector noise can never be smaller than zero counts and the detection system is tuned such that most likely zero counts occur during a blank measurement. Non-zero measurements are induced through, e.g., background scatter.28 Therefore, we can approximate the distribution of counts by an exponential distribution. To represent the detector induced uncertainty, a random sample drawn from an exponential distribution parameterized by λ is added at each point in Ei (or each channel of the detector, compare Fig. 1a, grey curve).
Signaldetector(Ei) ∼ λexp(−λ × y) | (3) |
Note that we use the tilde ‘∼’ to indicate that a random sample was drawn from a distribution. The expected signal can now be described as a function of Ei (Fig. 1a, red curve):
Signalexpected(Ei) = Signalcalculated(Ei) + Signaldetector(Ei) | (4) |
(5) |
The intensity Ik (red shaded area, Fig. 1a) can be converted to the normalized X-ray absorption coefficient for evaluation. Further, the intensity Ik can be separated into a contribution from the absorber in the matrix I(m)k and a contribution from the detection system I(d)k, where usually I(m)k ≫ I(d)k. However, I(d)k can still be relevant in very dilute samples.28
(6) |
According to our model, and assuming that the measurement is repeated k times at the exact same spot on the sample and neglecting beam damage, I(m)k of each repetition will have the exact same value (fluorescence is a stochastic process as well, however its variance is small compared to the processes discussed further down and not considered here). In contrast, I(d)k (contains stochastic and electronic noise) will vary slightly as this value was sampled from an exponential distribution in each detector bin. In practice, however, the monochromator is set to a specific energy and the stage is moved with a given velocity line by line. Ik is obtained by integrating the signal over a selected time period. The ‘width’ of a pixel is calculated as the product of the scan speed and the integration time (νstageΔtintegration = Wpixel). After completion of one XRF map at a certain energy, the energy is changed and an additional XRF map is recorded, etc. Ideally, the stage should be located at the exact same position at time t for every energy map. However, the locations of the stage will vary slightly, and even the smallest deviations between positions of consecutive energy maps will result in different ‘absorber environments’ of a specific location (pixel) at different energies. These differences, unfortunately, cannot be corrected entirely (Section 2.3). This situation is comparable to XAS at standard XAS beamlines at advanced synchrotron facilities with beam extensions of a few hundreds of micrometres, where the X-ray beam may slightly shift or change spatial flux density as a function of the energy and even tiny heterogeneities, diffraction artefacts or ‘pinholes’ in the sample can distort the absorption spectrum.
Furthermore, minor variations in I(m)k may arise from, e.g., resonant X-ray inelastic scattering (RIXS) at the absorber or elastic and inelastic scattering at any matrix element.28,36,37 In RIXS, the splitting of the photon emission energy at pre-edge energies of conventional XANES measurements as previously observed for CuO36 may eventually increase the uncertainty in the pre-edge region. However, the distortion introduced by the RIXS contributions is small compared to the intensity of the absorption edge and further obscured by the energy resolution of the XRF detector.35,38 The removal of spectra distorted with contributions from elastic and inelastic scattering is discussed in Section 2.7. Differently, the change in the mean X-ray penetration depth before and after the absorption edge at spots with strong absorber concretions that extend into the Z direction, e.g., over the total thin section height, might artificially enhance the contribution of the XRF intensity on the low energy side of the edge. This may be important, especially if the speciation changes in Z direction.
The resulting distribution of Ik to some extent depends on the assumption for the variation of I(m)k. However, the tendency towards a normal distribution is imposed by the variation of I(d)k. The spatial deviations of the stage position from the intended position between consecutive energy maps can be approximated by a normal distribution indicating a close to zero mean displacement (7 × 10−7 μm) and a standard deviation of 3 × 10−4 μm (Fig. S2†). Thus, for 95% of all pixels, the displacement is less than 1/2300 of the side length of a pixel. However, X-ray absorption is extremely sensitive to the absorber concentration and coordination. Therefore, larger displacements from the exact location of the pixel relative to the beam induce larger uncertainties. This consideration qualifies the selection of a normal distribution to describe the uncertainty in I(m)k. Also, a normal distribution is most suitable to capture the sum of all uncertainties of the processes that were deemed relevant previously but cannot be assessed in detail. 28 In plain language, the size of the area underneath the black curve between the grey horizontal lines is sampled from a normal distribution (Fig. 1a). The result of the listed effects can be illustrated if k = 1,2, …, 104 synthetic replicate measurements at one pixel are simulated and one arrives at another normal distribution (Fig. 1b).
By collecting sufficient repetitions of I(m)k + I(d)k, the mean of Ik and sum of two parameters σ(m)j and σ(d) can be obtained (red dotted lines, Fig. 1b). These describe the most likely and mean values of the uncertainty introduced by different elements of the beamline. The uncertainty σ(m)j will be different for each map j, but σ(d) will be the same as long as the experimental setup remains unaltered. The uncertainty in the X-ray absorption coefficient (μ) can be derived as outlined below.
(7) |
The value of I0 is obtained using an ion chamber and thus the uncertainty in the measurement of I0 is very small and can thus be neglected here. Due to the linear relationship between μ and Ik the uncertainty in μ can also be described by a normal distribution. Thus, any measured normalized X-ray absorption coefficient (μmeasured) can be sampled from a normal distribution (N) where the mean is the corresponding, (presumably) true normalized X-ray absorption coefficient (μmean) and the standard deviation reflects the sum of the normalized uncertainties introduced by the matrix and the detector:
μmeasured ∼ N(μmean, [σ(m)j + σ(d)]). | (8) |
Eqn (8) indicates that the total uncertainty (σ(m)j + σ(d)) is an absolute quantity. However, in the present study, the X-ray absorption coefficients μ were normalized to values between 0 and 1, hence uncertainties obtained for different datasets are comparable.
Due to practical constraints (e.g. available beam time, beam damage), XRF maps at a given energy were only recorded once. This, however, hampers the determination of the measurement uncertainty through assessing the standard deviations. Consequently, we cannot determine the uncertainty directly related to the XRF intensities, only the uncertainty relative to a LCF result. Therefore, a proper choice of spectra from reference materials is critical for capturing the XAS signal originating from Cu species in the sample (compare Section 2.4 and eqn (1)). In this section, we argued that the uncertainty related to XRF signal production is comparable for each XRF measurement at every energy for all pixels. Thus, Bayesian inference can be used to evaluate the uncertainties according to eqn (8). We performed Markov Chain Monte Carlo (MC) Simulations using JAGS (“Just Another Gibbs Sampler”) Version 4.3.0, based on BUGS (“Bayesian inference Using Gibbs Sampling”),39 through the R library “rjags”40 in RStudio Version 1.1.456 under R Version 3.4.4 (ref. 41) to quantify σ(m)j and σ(d). Details of the computation and the computer code are available in the ESI (Section S5†). Briefly, in the MC, the standard deviations σ(m)j and σ(d) (eqn (8)) are treated as two normal distribution that are each characterized by a mean and standard deviation, which are to be determined (eqn S3 and S4†).
(9) |
For initial and comparative analyses, all pixels with a non-normalized (NN) post edge XRF intensity of at least three times the NN pre-edge XRF intensity were included in the analysis. The correlation between σ(m)j and σ(d), previously observed in the synthetic data, was also observed in the experimental data (Fig. S9†). Therefore, we combined these uncertainties into σj(σ(d) + σ(m)j = σj) and found σj = [0.18, 0.17, 0.13, 0.33] for the experimental datasets SLG NP, SLG AQ, ASH NP and ASH AQ, respectively (Fig. S10†). Similar to the analysis of the synthetic datasets, the uncertainty was represented by a normal distribution around the values of σj. The uncertainty estimated for the two sludge samples was almost identical, likely due to the comparable sample matrix and Cu concentrations. The larger σj of ASH AQ may be explained by the granular texture of the ASH AQ sample resulting in an investigated area, dominated by an ash grain with rather low Cu concentrations.
Based on the results obtained with the synthetic dataset, uncertainties in the range of 0.13–0.18 as obtained for the experimental dataset translate into Cu(II)–O and Cu–S combined scores of around 1.5 and CSCI between 65 and 70%. An uncertainty of 0.33, leading to a score of <1.5 and a CSCI < 60% (ASH AQ), however, is too large to make reliable statements concerning the speciation of Cu in the sample (Section 3.1.2).
To obtain more reliable datasets associated with a lower uncertainty, we introduced a second criterion for the inclusion of individual pixels. In addition to the ‘relative threshold’ (NN post edge XRF intensity ≥ φ times NN pre edge XRF intensity), where φ varied between 3 and 50, an ‘absolute threshold’ (NN post-edge XRF intensity ≥ χ) was introduced and varied between 500 and 1000.
The uncertainties determined at different levels of φ or χ are reported in Fig. S11 and Table S2.† Our results suggest that it is important to quantify the uncertainty as a function of different pixel inclusion criteria when analysing different samples. In each dataset, we had to make a compromise between the number of included pixels (spectra) and the resulting uncertainty by trying to include as many pixels as possible while keeping the uncertainty as low as possible. The results of this evaluation are tabulated (Table 1) and the chemical images based on the selected inclusion criteria are visualized (Fig. 4) and discussed in the following section.
Map | SLG NP | SLG AQ | ASH NP | ASH AQ |
Threshold type | Relative (φ) | Relative (φ) | Absolute (χ) | Absolute (χ) |
Level (φ or χ) | 10 | 10 | 1000 | 3000 |
# pixels included | 24278 | 15305 | 9198 | 6048 |
Pixels included, % | 87.05 | 56.01 | 64.95 | 21.68 |
Uncertainty | 0.18 | 0.18 | 0.09 | 0.13 |
Score (individual references) | 0.36 | 0.36 | 0.45 | 0.39 |
CSCI (individual references) (%) | 25.2 | 25.2 | 32.48 | 28.00 |
Score (combined references) | 1.51 | 1.51 | 1.77 | 1.62 |
CSCI (combined references) (%) | 68.22 | 68.22 | 78.80 | 72.76 |
Fig. 4 Chemical images of the experimental samples ((a): SLG NP, (b): SLG AQ, (c): ASH NP and (d): ASH AQ) using combined references (yellow: fraction (Cu(II)–O) > fraction (Cu–S), blue: fraction (Cu(II)–S) > fraction (Cu–O)) and applying the exclusion criteria listed in Table 1. White pixels reflect excluded data points. The CSCIs were 68, 68, 79 and 73% for SLG NP, SLG AQ ASH NP and ASH AQ, respectively. The coordinates (in mm) represent the coordinates relative to the beam in the centre of the sample. The red crosses and labels indicate the locations of the recorded pXANES. For their assignment to individual spectra, refer to Fig. 5. LCF was performed using a sequential quadratic programming (sqp) method.42,43 |
Furthermore, it can be shown using the results from SLG NP that binning multiple pixels into larger pixels reduces the uncertainty in the dataset (Table S3†). Binning of 2 × 2 = 4 pixels reduces the uncertainty drastically (Δσ = 0.04). A further increase of the binning from 2 × 2 = 4 to 4 × 4 = 16 pixels results in a linear decrease of σ (Fig. S12†). Increasing the pixel binning to 5 × 5 = 25, however, only results in a moderate decrease in uncertainty. The large initial decrease of the uncertainty observed when 2 × 2 pixels were binned may be explained by the smoothing of residual shifts from the sample stage setting and from the beam location shift that are now small relative to the (binned) pixel size. The further decrease with increasing binning of pixels results from the improved counting statistics, which however, is associated with a decrease in the lateral resolution and in agreement with the dose limited resolution criteria.46
Fig. 5 An approximation of the Cu concentrations in the samples ((a): SLG NP, (b): SLG AQ, (c): ASH NP and (d): ASH AQ) reflecting the difference between the non-normalized intensity of the post- and pre-edge energy (ΔIi). The intensities are displayed on a logarithmic scale. The coordinates (in mm) represent the coordinates relative to the beam in the centre of the sample. The red crosses and labels indicate the locations of the recorded pXANES. The pXANES, the reference material spectra and the results of a LCF analysis are given in the ESI (Fig. S14–S20†). Where multiple pXANES were recorded close to each other, the labels were combined, e.g., p2–p6, p9 in the sample ASH AQ. The location of the individual pXANES areas are given in the ESI (Section S8†). |
LCF to bulk-EXAFS on the same samples indicated that SLG AQ can be described by 80% CuxS (amorphous) and 20% chalcopyrite (Table 2).29 For SLG NP, identical analyses returned a similar fraction of CuxS (81%), but in addition to chalcopyrite (11%) a comparable fraction (8%) was associated with Cu(II)–O references (tenorite and copper sulphate).29 To compare the integrated LCF fractions determined from the spatially resolved XAS data with the fractions derived from bulk EXAFS LCF, the spatially resolved XAS data were weighted with the intensity difference between the pre- and post-edge (ΔIi).
Reference material group | Individual reference material | SLG NP | SLG AQ | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Sum of the LCF fractions over all pixels in %. Normalized by ΔIi | Sums of previous column, % | Fractions based on pixel association in %. Normalized by ΔIi | EXAFS LCF, %a | Sums of previous column, %a | Sum of the LCF fractions over all pixels in %. Normalized by ΔIi | Sums of previous column, % | Fractions based on pixel association, % normalized by ΔIi | EXAFS LCF, %a | Sums of previous column, %a | ||
a Fourth and fifth column: EXAFS LCF results of a previous study on the same samples given in ref. 29 (the samples SLG NP and SLG AQ, were referred to by D-NP and D-AQ, respectively). LCF was performed using a sequential quadratic programming (sqp) method.42,43 | |||||||||||
Cu–S | CuxS | 39 | 78 | 96 | 81 | 92 | 45 | 80 | 95 | 85 | 100 |
CuS | 28 | 0 | 25 | 0 | |||||||
CuFeS2 | 11 | 11 | 10 | 15 | |||||||
Cu(II)–O | CuO | 13 | 22 | 4 | 7 | 8 | 10 | 20 | 5 | 0 | 0 |
CuSO4 | 4 | 1 | 3 | 0 | |||||||
CuFe2O4 | 5 | 0 | 7 | 0 |
Using the selected criteria for including individual XANES spectra (Table 1), chemical images that discriminate between Cu(II)–O (yellow pixels) and Cu–S (blue pixels) were extracted from each dataset (Fig. 4) and their integrated LCF fractions were evaluated (Table 2). In general, the integrated LCF results of SLG NP and SLG AQ were comparable, with 78 and 80% of the integrated experimental spectra assigned to the Cu–S reference spectra and 22% and 20% assigned to Cu(II)–O reference spectra, respectively (Table 2). If each pixel is binary associated with either Cu–S or Cu(II)–O spectra (Fig. 4) the fractions of Cu–S were 96% (SLG NP) and 95% (SLG AQ), respectively (Table 2).
In the chemical images of both sludge samples Cu was dominantly coordinated to sulphide, represented by the blue colour (Fig. 4a and b). However, the LCF analyses of the bulk spectra, returned a higher fraction of Cu(II)–O species for the sludge samples spiked with CuO-NP and it was previously speculated that either the formation of CuxS coatings protected the CuO core from further sulfidation and/or that the agglomeration of CuO-NP substantially decreased the sulfidation kinetics.48 The resolution (3 × 3 μm2) used in the present experiments does not allow to assess whether CuO–CuxS core–shell structures formed on an individual particle level, however, agglomerates of several particles in the sludge were well within the resolution limit of the experimental setup. In SLG NP, round Cu(II)–O objects were observed within the Cu–S matrix (red circles, Fig. 4a). Two of these objects were also associated with elevated Cu concentrations relative to the background Cu (red circles, Fig. 5a). We interpret these structures as agglomerates of CuO-NP that remained untransformed during the anaerobic digestion process. The other two objects were not associated with significantly elevated Cu concentrations (black circles, Fig. 5a) and may, therefore, represent CuO-NP, where Cu remained untransformed due to locally limited/restricted availability of bisulfide or Cu bound to O functional groups from the organic matrix of the sludge. A chemical image with binned pixels (3 × 3 = 9) confirmed these observations at a lower resolution but with higher score and CSCI (Fig. S13†). The three prominent spots observed on the sample SLG AQ reflecting locally elevated Cu concentrations (red circles, Fig. 5b) did not translate into local Cu(II)–O clusters (red circles, Fig. 4b) and may thus likely reflect agglomerates of CuS particles precipitated during the CuSO4 spiking.
The locations of recorded pXANES are indicated by a series of red ‘x’ (Fig. 5 and 4). The spectra, reference material spectra, LCFs, resulting fractions and an in-depth analysis and discussion are given in the ESI (Section S8†). Briefly, the results derived from the evaluation of pXANES were consistent with the observations made on the chemical images (Fig. 4). In SLG NP, the pXANES p53–p55 showed coordination of Cu(II) to O, all other pXANES recorded on this sample revealed coordination of Cu to S. In SLG AQ, all recorded pXANES suggest Cu associated with S. In both ash samples the pXANES revealed strong local variations of the Cu oxidation state.
Transmission electron microscopy and dynamic light scattering measurements did not show agglomeration at the micrometre scale (10–20 μm) in the spiking dispersion.29 Therefore, the results of the present study support the hypothesis that the agglomeration occurred after CuO-NP were spiked to the digested sludge. Furthermore, the results showed that although the speciation of Cu in the two sludge samples was comparable, important textural differences based on the Cu concentrations (dotted versus Schlieren-type structures and large agglomerates) remained. Such differences were only observed in the sludge and were absent in the ash samples.
The Cu speciation in sludge samples spiked with either CuO-NP or CuSO4 converged with the speciation of Cu related to presence of Cu in unspiked sludge within hours.48 Nevertheless, spatial heterogeneities caused by different forms of Cu (nanoparticles vs. dissolved) added to the wastewater stream might outlive wastewater treatment including anaerobic digestion. A similar convergence of speciation has been observed for Zn during anaerobic sludge digestion.49 A recent study showed that lysimeter aged sludge obtained from a pilot wastewater treatment plant (WWTP) spiked with ZnO-NP inhibited the reproduction of earthworms to a higher degree compared to sludge produced by spiking dissolved Zn2+ to the same pilot WWTP.50 The Zn speciation as well as the total Zn concentrations were almost identical in both sludges. The authors, therefore, speculated that the morphological or spatial differences between the ZnS phases formed after spiking ZnO-NP or ZnSO4 to the pilot WWTP were responsible for the observed differences in growth inhibitions.50 However, suitable tools to investigate spatial heterogeneities at the micrometre scale were not available and the hypothesis remained speculative. As Cu and Zn both classify as chalcophile transition metals51 the results from this study on Cu may also be transferrable to Zn. Structural differences of the sludge at the micrometre scale or even below may have influenced the Zn bioavailability and, thus, also have contributed to the increased eco-toxicity of the ZnO-NP-spiked versus the dissolved Zn spiked sludge reported in the study of Lahive et al.50
The model/algorithm also offers a suitable tool for planning and conducting chemical imaging experiments. To the end of the latter, multiple XRF maps of a small area can be recorded and the presented algorithms can be used to quantitatively evaluate the resulting uncertainties and noise levels associated with LCF data interpretations under the given end-station settings. The model output can then be used to tune the end station settings to achieve a desired level of spectra interpretability (decision tree in Fig. S25†).
Progress in the quantitative assessment of the uncertainties may further enhance the interpretability of chemical images derived from synchrotron based hard X-rays. As demonstrated in this study, the evaluation and interpretation of chemical imaging data requires a detailed understanding of the underlying uncertainties, especially at short dwell times. The present model is purely empirical and future modifications will be directed towards a more rigorous treatment of physical processes (e.g., undulator based spatial beam structure development with energy changes, beam polarisation, elastic and inelastic scattering, RIXS, self-absorption, beam damage, etc.), which will reveal future possibilities and also current limitations associated with the data interpretation of chemical images of heterogeneous samples with low absorber concentrations.
Footnote |
† Electronic supplementary information (ESI) available. See DOI: 10.1039/c9ja00394k |
This journal is © The Royal Society of Chemistry 2020 |