Applications of Hard X‐ray Full‐Field Transmission X‐ray Microscopy at SSRL

Liu, Yijin; Andrews, Joy C.; Meirer, Florian; Mehta, Apurva; Carrasco-Gil, Sandra; Sciau, Philippe; Mester, Zoltán; Pianetta, P.

doi:10.1063/1.3625377

Cited by 35 publications

(25 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Making use of Nehari manifold method and concentrationcompactness principle, we obtain the existence and multiplicity of solutions for this equation. Our main results can be viewed as partial extensions of the results of [11,12,17].…”

mentioning

confidence: 57%

See 1 more Smart Citation

Multiple positive solutions to a class of Kirchhoff equation on with indefinite nonlinearity

Chen

2014

Nonlinear Analysis: Theory, Methods & Applications

View full text Add to dashboard Cite

mentioning

confidence: 57%

“…exists multiple positive solutions, where k(x) allows sign changing with p ∈ (4, 6). As for singular nonlinearity, Liu and Sun [17] considered the existence of positive solutions for the following problem with singular and superlinear terms…”

Section: Introductionmentioning

confidence: 99%

Multiple positive solutions to a class of Kirchhoff equation on with indefinite nonlinearity

Chen

2014

Nonlinear Analysis: Theory, Methods & Applications

View full text Add to dashboard Cite

“…Over the pre-edge and post edge regions, we scanned the energy at a larger step size of 10 eV in order to cover a wide energy window for normalization of the X-ray absorption spectra. 40 After initial data reduction using an in-house developed software package known as TXM-Wizard, 41 we effectively recovered over 20 million XANES spectra with each one of them associated with a unique pixel in the image. The shape of the spectra represents the local chemical fingerprints and can be used to quantify the Ni oxidation state over the corresponding pixels.…”

Section: Chemical Delithiationmentioning

confidence: 99%

Charge Heterogeneity and Surface Chemistry in Polycrystalline Cathode Materials

Tian

Nordlund

et al. 2018

Joule

169

195

View full text Add to dashboard Cite

Abstract:Nanoscale full-field (FF) transmission X-ray microscopy (TXM) and ensembleaveraged soft X-ray absorption spectroscopy (soft XAS) were used to investigate stateof-charge (SOC) heterogeneities in electrochemically charged or discharged and chemically oxidized samples of LiNi0.6Mn0.2Co0.2O2 cathode materials. We observed considerable and similar non-uniformities in terms of Ni oxidation states (and, by proxy, lithium distributions) for all the samples in the bulk. Therefore, the chemically delithiated samples are similar to the electrochemically charged samples in terms of mesoscale charge heterogeneity in large polycrystalline particle ensembles. However, the gradient oxidation states of transition metals on the surface, which is partly responsible for the electrode degradation mechanism known as surface reconstruction, is much less apparent in chemically delithiated samples. T Response to ReviewersThe previous version of this paper was not sent out for peer review. Response to Reviewers Graphical AbstractClick here to download Graphical Abstract graphicalabstract.tif Charge Heterogeneity and Surface Chemistry in Polycrystalline Cathode Materials SummaryNanoscale full-field (FF) transmission X-ray microscopy (TXM) and ensemble-averaged soft Xray absorption spectroscopy (soft XAS) were used to investigate state-of-charge (SOC) heterogeneities in electrochemically charged or discharged and chemically oxidized samples of LiNi0.6Mn0.2Co0.2O2 cathode materials. We observed considerable and similar non-uniformities in terms of Ni oxidation states (and, by proxy, lithium distributions) for all the samples in the bulk. Therefore, the chemically delithiated samples are similar to the electrochemically charged samples in terms of mesoscale charge heterogeneity in large polycrystalline particle ensembles.However, the gradient oxidation states of transition metals on the surface, which is partly responsible for the electrode degradation mechanism known as surface reconstruction, is much less apparent in chemically delithiated samples.

show abstract

“…These algebras are related to the conformal field theory, as the even part of the N = 3 superconformal algebra is the Affine-Virasoro algebra with L = sl (2). The representation theory of Affine-Virasoro algebras was developed in [20], [21], [22], [23], [30], [33] among others. Generalizing X to the algebra of polynomial functions on n-dimensional torus the Lie algebra L ≀ DerX becomes the full toroidal algebra.…”

Section: Introductionmentioning

confidence: 99%

On self-similar Lie algebras and virtual endomorphisms

2018

View full text Add to dashboard Cite

We introduce the notion of virtual endomorphisms of Lie algebras and use it as an approach for constructing self-similarity of Lie algebras. This is done in particular for a class of metabelian Lie algebras having homological type F Pn, which are variants of lamp-lighter groups. We establish several criteria when the existence of virtual endomorphism implies a self-similar Lie structure. Furthermore, we prove that the classical Lie algebra sln(k), where char(k) does not divide n affords non-trivial faithful self-similarity.

show abstract

Applications of Hard X‐ray Full‐Field Transmission X‐ray Microscopy at SSRL

Cited by 35 publications

References 4 publications

Multiple positive solutions to a class of Kirchhoff equation on with indefinite nonlinearity

Multiple positive solutions to a class of Kirchhoff equation on with indefinite nonlinearity

Charge Heterogeneity and Surface Chemistry in Polycrystalline Cathode Materials

On self-similar Lie algebras and virtual endomorphisms

Contact Info

Product

Resources

About