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Condens. Matter 2021, 6, 28 9 of 11 References Author Contributions: Conceptualization, B.B., R.F. and V.D.N.; sample preparation, G.P. and V.D.N.; experimental investigations, V.T. and R.F.; theoretical analysis and interpretation, B.B. All authors discussed the results and contributed to the planning and writing the manuscript. All authors have read and agreed to the published version of the manuscript. Funding: This research was supported by the Ministry of Education and Culture (Finland). The work at Padova University was supported by the program “Budget Integrato per la Ricerca Interdipartimentale- BIRD 2018” of the University of Padova (protocol BIRD187913) and the project “Towards sustainable, high-performing, all-solid-state sodium-ion batteries” (protocol 2017MCEEY4) of the Italian MIUR funded in the framework of “PRIN 2017” call. Institutional Review Board Statement: Not applicable. Informed Consent Statement: Not applicable. Data Availability Statement: The data that support the findings of this study are available from the corresponding authors upon reasonable request. Acknowledgments: B.B. acknowledges useful discussion with Jan Kuriplach. Conflicts of Interest: The authors declare no conflict of interest. Appendix A The parameter η describes the probability of an annihilation event inside a nanoparti- cle, and it depends on the ratio of the diameter φ of the particle and the positron diffusion length L+ inside the NP, according to the Langevin function [51]: Condens. Matter 2021, 6, x FOR PEER REVIEW 10 of 12 1.00 0.75 0.50 0.25 0.00 10-2 10-1 100 101 102 103 1. Pang, Q.; Kwok, C.Y.; Kundu, D.; Liang, X.; Nazar, L.F. Lightweight Metallic MgB2 Mediates Polysulfide Redox and Promises High-Energy-Density Lithium-Sulfur Batteries. Joule 2019, 3, 136–148, doi:10.1016/j.joule.2018.09.024. 2. Müller, V.; Bernhard, R.; Wegener, J.; Pfeiffer, J.; Rössler, S.; Scurtu, R.G.; Memm, M.; Danzer, M.A.; Wohlfahrt-Mehrens, M. Evaluation of Scalable Porous Si-Rich Si/C Composites with Low Volume Expansion in Coin Cells to Prismatic Cell Formats. Energy Technol. 2020, 8, 202000217, doi:10.1002/ente.202000217. 3. Casino, S.; Niehoff, P.; Börner, M.; Winter, M. Protective coatings on silicon particles and their effect on energy density and specific energy in lithium ion battery cells: A model study. J. Energy Storage 2020, 29, 101376, doi:10.1016/j.est.2020.101376. 4. Okashy, S.; Luski, S.; Elias, Y.; Aurbach, D. Practical anodes for Li-ion batteries comprising metallurgical silicon particles and η = coth(φ/L+ ) − L+/φ. (A1) φ / L+ FigFuirgeuAre1A. T1h. eThfuenfcutniocntio(1n−(1η−) gηiv)egsivaenseasntiemstaitmioantiofntohfetphoespitorsointrsofnrsacfrtiaocntiothnathcaatncarnearcehacthethgeragirnain boubnodunardyarwyitwhirthesrpeescptetcot thootsheosime ipmlapnltaendteidn itnhethgeragirna.in. 1−ηPDF Image | Positron Annihilation Spectroscopy LiCoO2 Cathode of Lithium-Ion Batteries
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