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The lithium ion battery will be a reliable electrical resource for many years to come. A simple model of the lithium ions motion due to changes in concentration and voltage is presented. The battery chosen has LiCoO 2 as the cathode, LiPF 6 as the electrolyte, and LiC 6 as the anode. The concentration gradient and voltage gradient is linearized in two forms of Fick’s first law of diffusion. The voltage gradient increases the motion of the lithium ions by a factor of 100 compared to the concentration gradient. Possible extensions of this simple model are also addressed.
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John H. Summerfield (2013) studied this question.
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