On the Diffusion-controlled Transport and Accumulation of Lithium in an Electrode of a Lithium-based Galvanic Cell

The presented formulation in this paper provides the information in the form of lithium concentration profiles and lithium accumulation in the solid-state active material particles of a porous bed cathode of a lithium based galvanic cell as a function of dimensionless time during the cell discharge period under the condition of lithium diffusion in the cathode active material being a predominant process affecting the cell voltage versus time performance. The computed data is deemed to be useful in the predetermination of required cell discharge time corresponding to a desired state-of-charge of a lithium-based galvanic cell under the above-mentioned condition.