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      Tracking Sodium-Antimonide Phase Transformations in Sodium-Ion Anodes: Insights from Operando Pair Distribution Function Analysis and Solid-State NMR Spectroscopy

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          Abstract

          Operando pair distribution function (PDF) analysis and ex situ 23Na magic-angle spinning solid-state nuclear magnetic resonance (MAS ssNMR) spectroscopy are used to gain insight into the alloying mechanism of high-capacity antimony anodes for sodium-ion batteries. Subtraction of the PDF of crystalline Na x Sb phases from the total PDF, an approach constrained by chemical phase information gained from 23Na ssNMR in reference to relevant model compounds, identifies two previously uncharacterized intermediate species formed electrochemically; a-Na 3– x Sb ( x ≈ 0.4–0.5), a structure locally similar to crystalline Na 3Sb (c-Na 3Sb) but with significant numbers of sodium vacancies and a limited correlation length, and a-Na 1.7Sb, a highly amorphous structure featuring some Sb–Sb bonding. The first sodiation breaks down the crystalline antimony to form first a-Na 3– x Sb and, finally, crystalline Na 3Sb. Desodiation results in the formation of an electrode formed of a composite of crystalline and amorphous antimony networks. We link the different reactivity of these networks to a series of sequential sodiation reactions manifesting as a cascade of processes observed in the electrochemical profile of subsequent cycles. The amorphous network reacts at higher voltages reforming a-Na 1.7Sb, then a-Na 3– x Sb, whereas lower potentials are required for the sodiation of crystalline antimony, which reacts to form a-Na 3– x Sb without the formation of a-Na 1.7Sb. a-Na 3– x Sb is converted to crystalline Na 3Sb at the end of the second discharge. We find no evidence of formation of NaSb. Variable temperature 23Na NMR experiments reveal significant sodium mobility within c-Na 3Sb; this is a possible contributing factor to the excellent rate performance of Sb anodes.

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          Two-dimensional detector software: From real detector to idealised image or two-theta scan

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            Simple analytical expression for the peak-frequency shifts of plasmonic resonances for sensing

            We derive a closed-form expression that accurately predicts the peak frequency-shift and broadening induced by tiny perturbations of plasmonic nanoresonators without critically relying on repeated electrodynamic simulations of the spectral response of nanoresonator for various locations, sizes or shapes of the perturbing objects. The force of the present approach, in comparison with other approaches of the same kind, is that the derivation is supported by a mathematical formalism based on a rigorous normalization of the resonance modes of nanoresonators consisting of lossy and dispersive materials. Accordingly, accurate predictions are obtained for a large range of nanoparticle shapes and sizes, used in various plasmonic nanosensors, even beyond the quasistatic limit. The expression gives quantitative insight, and combined with an open-source code, provides accurate and fast predictions that are ideally suited for preliminary designs or for interpretation of experimental data. It is also valid for photonic resonators with large mode volumes.
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              Structural Changes in Silicon Anodes during Lithium Insertion/Extraction

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                Author and article information

                Journal
                J Am Chem Soc
                J. Am. Chem. Soc
                ja
                jacsat
                Journal of the American Chemical Society
                American Chemical Society
                0002-7863
                1520-5126
                29 January 2016
                24 February 2016
                : 138
                : 7
                : 2352-2365
                Affiliations
                []University of Cambridge , University Chemical Laboratory, Lensfield Road, Cambridge, CB2 1EW, U.K.
                []Gonville and Caius College , Trinity Street, Cambridge, CB2 1TA, U.K.
                [§ ]Institut Charles Gerhardt Montpellier-UMR 5253 CNRS, ALISTORE European Research Institute (3104 CNRS) , Université Montpellier 2, 34095, Montpellier, France
                []Réseau sur le Stockage Electrochimique de l’Energie (RS2E) , FR CNRS 3459, 80039 Amiens Cedex, France
                []X-ray Science Division, Advanced Photon Source, Argonne National Laboratory , Lemont, Illinois 60439, United States
                [# ]Theory of Condensed Matter Group, Cavendish Laboratory, University of Cambridge , J. J. Thomson Avenue, Cambridge CB3 0HE, U.K.
                Author notes
                Article
                10.1021/jacs.5b13273
                4819537
                26824406
                b475707a-bb96-4b2b-adec-157c1c342bac
                Copyright © 2016 American Chemical Society

                This is an open access article published under a Creative Commons Attribution (CC-BY) License, which permits unrestricted use, distribution and reproduction in any medium, provided the author and source are cited.

                History
                : 19 December 2015
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                ja5b13273
                ja-2015-13273h

                Chemistry
                Chemistry

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