Modeling the Effects of Morphology in Lithium-Ion Battery Electrodes
The model assumes a columnar nanostructure which is a thin film deposited on a current collector. Conventional Li-ion battery models assume a porous electrode with spherical constituent particles and are pseudo 2-d. Nanostructures are represented as rectangular 2-d structures in the model, which are projections of an array of cuboidal nano-columns. Transport phenomena equations used by Doyle et. al are adapted for modeling charge and mass transfer. Lithium intercalates directly into silicon, and hence mass transfer equations similar to those used for graphite can be used. However, tin oxide undergoes phase change upon intercalation and hence phase field theory is used to model mass transfer into tin oxide anodes. Christensen et. al's model predicts concentration and stress profiles in a spherical particle upon lithium intercalation and deintercalation. The equations, generalized to 2-dimensions, are used for predicting stress and strain in the nanostructure.
Results will be compared with in-situ stress measurements made on single crystal nano-columns of tin oxide (deposited using aerosol chemical vapor deposition ) using Multibeam optical stress sensor (MOSS).
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