Determination of the diffusion coefficient of lithium ions in nano-Si

By N. Ding, Jing Xu, Y. Yao, G. Wegner, X. Fang, Chi Chen, I. Lieberwirth. 2009

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Diffusion–deformation theory for amorphous silicon anodes: The role of plastic deformation on electrochemical performance (2015, background): “Indeed, a-Si nanoparticles have been observed to be quite robust to fracture during cycling (He et al., 2011; McDowell et al., 2012), and Berla et al. (2014) have recently shown that a-Si is resistant to fracture even at the micron scale (∼ 2μm). In this paper, we focus on modeling the response of a”
Interface-reaction controlled diffusion in binary solids with applications to lithiation of silicon in lithium-ion batteries (2013, background): “It can be seen shown (Chen et al., 2009) that (59) is a linearized form of the Butler–Volmer equation.”
Measurement and modeling of the mechanical and electrochemical response of amorphous Si thin film electrodes during cyclic lithiation (2013, methodology): “In addition, diffusion coefficients for Li transport through Si have been measured experimentally, but the measured diffusivities span several orders of magnitude from 16 10 to 10 2 1 10 cm s − − [37] [38] [39] [40].”