Abstract
The development of diffusion-induced stresses (DIS) in amorphous alloy nanowire-based Li-ion battery electrodes is analyzed using a finite deformation model with full diffusion/stress coupling. The analyses reveal significant contributions to the driving force for diffusion by stress gradients, an effect much stronger than those seen in cathode lattices, but so far neglected for alloy-based anodes. A significant contribution of surface to overall stresses is also found. The long-term DIS is determined by charging rate, nanowire radius, and Li mobility modulated by stress effects. Stress-enhanced diffusion (SED) is negligible when lithium concentration is low, leading to significantly higher DIS levels in the early stage of a charging cycle. This finding points out the need to use lower charging rates in the initial stages of charging cycles of amorphous lithium alloy anodes.
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References
Larcher, D., Beattie, S., Morcrette, M., Edstroem, K., Jumas, J.C., Tarascon, J.M.: Recent findings and prospects in the field of pure metals as negative electrodes for Li-ion batteries. J. Mater. Chem. 17(36), 3759–3772 (2007). doi:10.1039/B705421c
Chevrier, V.L., Dahn, J.R.: First principles model of amorphous silicon lithiation. J. Electrochem. Soc. 156(6), A454–A458 (2009). doi:10.1149/1.3111037
Beaulieu, L.Y., Eberman, K.W., Turner, R.L., Krause, L.J., Dahn, J.R.: Colossal reversible volume changes in lithium alloys. Electrochem. Solid State Lett. 4(9), A137–A140 (2001)
Chan, C.K., Peng, H.L., Liu, G., McIlwrath, K., Zhang, X.F., Huggins, R.A., Cui, Y.: High-performance lithium battery anodes using silicon nanowires. Nat. Nanotechnol. 3(1), 31–35 (2008)
Cui, L.F., Ruffo, R., Chan, C.K., Peng, H.L., Cui, Y.: Crystalline-amorphous core-shell silicon nanowires for high capacity and high current battery electrodes. Nano Lett. 9(1), 491–495 (2009). doi:10.1021/Nl8036323
Song, T., Xia, J.L., Lee, J.H., Lee, D.H., Kwon, M.S., Choi, J.M., Wu, J., Doo, S.K., Chang, H., Park, W.I., Zang, D.S., Kim, H., Huang, Y.G., Hwang, K.C., Rogers, J.A., Paik, U.: Arrays of sealed silicon nanotubes as anodes for lithium ion batteries. Nano Lett. 10(5), 1710–1716 (2010). doi:10.1021/Nl100086e
Magasinski, A., Dixon, P., Hertzberg, B., Kvit, A., Ayala, J., Yushin, G.: High-performance lithium-ion anodes using a hierarchical bottom-up approach. Nat. Mater. 9(4), 353–358 (2010). doi:10.1038/Nmat2725
Christensen, J., Newman, J.: Stress generation and fracture in lithium insertion materials. J. Solid State Electrochem. 10(5), 293–319 (2006)
Deshpande, R., Cheng, Y.T., Verbrugge, M.W.: Modeling diffusion-induced stress in nanowire electrode structures. J. Power. Sources 195(15), 5081–5088 (2010)
Cheng, Y.T., Verbrugge, M.W.: Diffusion-induced stress, interfacial charge transfer, and criteria for avoiding crack initiation of electrode particles. J. Electrochem. Soc. 157(4), A508–A516 (2010). doi:10.1149/1.3298892
Haftbaradaran, H., Gao, H.J., Curtin, W.A.: A surface locking instability for atomic intercalation into a solid electrode. Appl. Phys. Lett. 96(9), 091909 (2010)
Wu, C.H.: The role of Eshelby stress in composition-generated and stress-assisted diffusion. J. Mech. Phys. Solids 49(8), 1771–1794 (2001)
Zhou, H.G., Qu, J.M., Cherkaoui, M.: Stress-oxidation interaction in selective oxidation of Cr-Fe alloys. Mech. Mater. 42(1), 63–71 (2010). doi:10.1016/j.mechmat.2009.09.007
Swaminathan, N., Qu, J., Sun, Y.: An electrochemomechanical theory of defects in ionic solids. I. Theory. Philos. Mag. 87(11), 1705–1721 (2007)
Beaulieu, L.Y., Hatchard, T.D., Bonakdarpour, A., Fleischauer, M.D., Dahn, J.R.: Reaction of Li with alloy thin films studied by in situ AFM. J. Electrochem. Soc. 150(11), A1457–A1464 (2003). doi:10.1149/1.1613668
Cheng, Y.T., Verbrugge, M.W.: The influence of surface mechanics on diffusion induced stresses within spherical nanoparticles. J. Appl. Phys. 104(8), 083521 (2008). doi:10.1063/1.3000442
Timoshenko, S.: Theory of Elasticity. Engineering Societies Monographs, 2nd edn. McGraw-Hill, New York (1951)
Newman, J.S., Thomas-Alyea, K.E.: Electrochemical Systems, 3rd edn. Wiley, Hoboken (2004)
Szabadi, M., Hess, P., Kellock, A.J., Coufal, H., Baglin, J.E.E.: Elastic and mechanical properties of ion-implanted silicon determined by surface-acoustic-wave spectrometry. Phys. Rev. Ser. B 58(14), 8941–8948 (1998)
Ding, N., Xu, J., Yao, Y.X., Wegner, G., Fang, X., Chen, C.H., Lieberwirth, I.: Determination of the diffusion coefficient of lithium ions in nano-Si. Solid State Ionics 180(2–3), 222–225 (2009). doi:10.1016/j.ssi.2008.12.015
Shenoy, V.B., Johari, P., Qi, Y.: Elastic softening of amorphous and crystalline Li–Si Phases with increasing Li concentration: a first-principles study. J. Power Sources 195(19), 6825–6830 (2010). doi:10.1016/j.jpowsour.2010.04.044
Zhang, X.C., Shyy, W., Sastry, A.M.: Numerical simulation of intercalation-induced stress in Li-ion battery electrode particles. J. Electrochem. Soc. 154(10), A910–A916 (2007). doi:10.1149/1.2759840
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Gao, Y.F., Zhou, M. (2013). Size and Surface Effects on Stress-Diffusion Coupling in Silicon Nanowire Electrodes. In: Cocks, A., Wang, J. (eds) IUTAM Symposium on Surface Effects in the Mechanics of Nanomaterials and Heterostructures. IUTAM Bookseries (closed), vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4911-5_5
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