MnEdgeNet Accurate Decomposition of Mixed Oxidation States for Mn XAS and EELS L23 Edges without Reference and Calibration Huolin L. Xin Mike Hu

2025-05-02 0 0 3.26MB 20 页 10玖币
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MnEdgeNetAccurate Decomposition of Mixed Oxidation States for
Mn XAS and EELS L2,3 Edges without Reference and Calibration
Huolin L. Xin*, Mike Hu
Department of Physics and Astronomy, University of California, Irvine, CA 92697, United
States
*Correspondence should be addressed to H.L.X. (huolin.xin@uci.edu)
Abstract: Accurate decomposition of the mixed Mn oxidation states is highly important
for characterizing the electronic structures, charge transfer and redox centers for electronic,
electrocatalytic and energy storage materials that contain Mn. Electron energy loss
spectroscopy (EELS) and soft X-ray absorption spectroscopy (XAS) measurements of the
Mn L2,3 edges are widely used for this purpose. To date, although the measurement of the
Mn L2,3 edges are straightforward given the sample is prepared properly, an accurate
decomposition of the mix valence states of Mn remains non-trivial. For both EELS and
XAS, 2+, 3+, 4+ references spectra need to be taken on the same instrument/beamline and
preferably in the same experimental session because the instrumental resolution and the
energy axis offset could vary from one session to another. To circumvent this hurdle, in
this study, we adopted a deep learning approach and developed a calibration-free and
reference-free method to decompose the oxidation state of Mn L2,3 edges for both EELS
and XAS. To synthesize physics-informed and ground-truth labeled training datasets, we
created a forward model that takes into account plural scattering, instrumentation
broadening, noise and energy axis offset. With that, we created a 1.2 million-spectrum
database with a three-element oxidation state composition label. The library includes a
sufficient variety of data including both EELS and XAS spectra. By training on this large
database, our convolutional neural network achieves 85% accuracy on the validation
dataset. We tested the model and found it is robust against noise (down to PSNR of 10)
and plural scattering (up to t/λ = 1). We further validated the model against spectral data
that were not used in training. In particular, the model shows high accuracy and high
sensitivity for the decomposition of Mn3O4, MnO, Mn2O3 and MnO2. In particular, the
accurate decomposition of Mn3O4 experimental data shows the model is quantitatively
correct and can be deployed for real experimental data. Our model will not only be a
valuable tool to researchers and materials scientists but also can assist experienced electron
microscopists and synchrotron scientists in automated analysis of Mn L edge data.
Introduction
X-ray absorption spectroscopy (XAS)1 and electron energy loss spectroscopy (EELS)2,3
are two techniques that can probe the unoccupied electronic states providing bonding
information of materials. In particular, the L2,3 edges are widely used to determine the
oxidation state of transition metals1,4,5. The transition metal L2,3 edges probe the
unoccupied d orbitals and therefore the edge onset and the edges’ fine structures and shapes
are sensitive to the oxidation state of the d-block metal ions, in particular the 3d transition
metals, such as V, Ti, Mn, Fe, and Ni5-8. For example, using the near edge fine structures
in the Mn L2,3 edges, the oxidation states of Mn ions in a material can be determined by
decomposing the spectrum into a linear combination of Mn2+, Mn3+, and Mn4+ reference
spectra9,10. This decomposition, in principle, is simple but in reality, it is non-trivial because
the energy axis is not always calibrated, and the instrument/beamline does not always have
the instrumental broadening. Without proper calibration, an energy offset is present
between the experimental spectrum and the references which prevents accurate oxidation
states decomposition. In order to avoid the problem, standard reference samples such as
MnO, Mn2O3, MnO2 need to be measured in the same experimental session to avoid any
energy offsets as well as change in instrumental broadening9,11. Still with this procedure,
there are other factors that could prevent the proper energy axis calibration for example
temperature fluctuations would result in an energy shift in the monochromator. Basically,
if the XAS measurements are separated multiple hours in time, the spectra taken could have
a slight energy offset. In EELS, the energy offset could change more rapidly and is more
unpredictable than XAS. Typically, the energy offset is very sensitive to the DC stray field.
For example, the passing of a truck or the movement of a nearby elevator, all could change
the energy offset if the TEM is not fully shielded. This problem is now mitigated with the
dualEELS instruments but there are still many single EELS instruments under active
service. Moreover, all historical data were acquired without the dualEELS correction. In
addition, nonlinearity of parallel EELS spectrometer is present in EELS in a nontrivial way
because the nonlinearity is not only present in the dispersion device, i.e. the magnetic prism.
There is another complex nonlinearity present in the magnification lenses, a series of
quadrupole. Therefore, it is extremely difficult to calibrate the energy onset of EELS edges
unless strict protocols are followed as described by Tan et al11.
Another complication is that EELS’ near-edge fine structures change with sample thickness
due to plural scattering. As the sample gets thicker, signals close to the edge onset would
be multiple scattered to higher energy losses. This would result in a shape change of the
spectrum11. For example, for latter 3d transition metals’s L2,3 edges, as the sample gets
thicker, the L2/L3 ratio increasesthis problem has rendered the reference-free L2,3 ratio
method inaccurate for EELS11. In addition, for XAS, the background and the near edge
structures could be different between the TEY and TFY modes. That also renders the L2,3
ratio method unreliable. Moreover, for early 3d transition metals, there are no established
reference-free methods because of the L2,3 anomaly.
For both EELS and XAS spectroscopy, one interesting observation is that human operators
with sufficient training can identify spectral features and assign oxidation states to
transition metal L2,3 edges with high confidence. This points to the direction that deep
learning could be successful in solving the L2,3 oxidation state decomposition problem.
Pate et al in 2021 discussed using deep learning to denoise high frame rate spectra.12
Chatzidakis and Botton in 2019 introduced the idea of translation-invariance for classifying
EELS edges.13 They built a convolutional neural network (CNN) for oxidation state
classification and showed that with a translation-invariant training, moving the energy axis
does not change the Mn 2+, 3+, 4 oxidation state classification. This is a very important
step in demonstrating that spectral features are like spatial features in imagesthey can be
classified by a CNN network regardless of their absolute energy positions in the spectrum.
However, there are still problems remained to be resolved: 1) how to quantitatively
decompose mixed oxidation states; 2) is it possible to build one model that work for both
XAS and EELS spectroscopy that have drastically different energy resolution; 3) is it
possible to build a model that is not affected by plural scattering, i.e. the thickness effect
in EELS.
To address the three challenges defined above, in this study, we present a reference-free,
calibration-free deep learning approach to determine the accurate oxidation states
decomposition of 3d transition metal based on the L2,3 near edge fine structures. To
demonstrate the validity of the method, in this study, we use Mn as an example because
Mn is technologically important in catalysis, energy storage and electronic materials.
Determining the composition of the mixed oxidation states is extremely important for
understanding the charge transfer phenomenon happening at the device interfaces. The
method we present in this study is not a simple classification of Mn2+, 3+ and 4+ edges
but an accurate and quantitative decomposition of the mixed Mn oxidation states. Instead
of having a classification/binary type label, we created a three-element ground truth vector
that quantitatively describe the composition of Mn2+, 3+ and 4+ in each Mn spectrum, i.e.
[%Mn2+, %Mn3+, %Mn4+].
To achieve this goal, we built a 1.2 million-spectrum ground truth labeled library with 50%
XAS data and 50% EELS data. In building the mixed oxidation state library, we paid
special attention to normalizing the Mn L2,3 edges correctly, and including experimental-
like uncertainties such as both Gaussian and Lorentzian type instrumental broadening,
energy offset and detector noise. To include the plural scattering effect in the training
library, we developed a forward model to correctly introduce the thickness effect to the
L2,3 edges. Using this physics-informed large training library, we show that the deep
convolutional regression model we trained is robust against plural scattering and noise. The
overall accuracy of model in determining the mixed valence state reaches 85% on the
validation data set. We also validated the data on “unknown unknowns”, i.e. Mn3O4
spectra that have never been used for training—the accurate decomposition of Mn3O4
experimental data shows the model is quantitatively correct and can be deployed for real
experimental data.
Methods
In this method section, we will describe 1) how to build a ground-truth oxidation state
labeled Mn edge library, 2) how to construct the neural network, and 3) how to train it.
For building the library, the technical challenges lie in 1) how to obtain a wide variety of
XAS and EELS Mn2+, Mn3+, Mn4+ reference spectra; 2) how to normalize or ratio the
2+, 3+ and 4+ spectra correctly; 3) how to include the EELS’s plural scattering effect
(thickness effect) into the training sets; 4) how to include the various experimental
uncertainties including instrumental broadening, energy offset, detector noise, etc. In the
following subsections, we will address each aforementioned challenge.
Collection of Mn reference spectra
To have sufficient varieties of data that can capture the features of the EELS and XAS Mn
2+, 3+ and 4+ edges, in this study, we digitized a large number of experimental EELS and
XAS Mn spectra that were documented in the literature. In Figure 1, we presented all
spectra that were used for making the training library. (The Mn 2.67+ spectrum was not
included in the training library.) In Table 1, we listed the compounds for which we digitized
the spectra and their original references.
All data are standardized to range from 630.5 eV to 669.4 eV with 0.1 eV increments (338
data points). For missing data, the left side of the spectra is padded with zero and the right
side is padded with the end value of the spectra. Fig xx shows examples of the standardized
data.
Figure 1. The presentation of the EELS and XAS Mn L2,3 edges included in making the
training library. The Mn 2.67+ presented is not included in the training library.
摘要:

MnEdgeNet—AccurateDecompositionofMixedOxidationStatesforMnXASandEELSL2,3EdgeswithoutReferenceandCalibrationHuolinL.Xin*,MikeHuDepartmentofPhysicsandAstronomy,UniversityofCalifornia,Irvine,CA92697,UnitedStates*CorrespondenceshouldbeaddressedtoH.L.X.(huolin.xin@uci.edu)Abstract:Accuratedecompositionof...

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