Lithium Concentration Dependent Elastic Properties of Battery Electrode Materials from First Principles Calculations

This paper aims to help fill a gap in the literature on Li-ion battery electrode materials due to the absence of measured elastic constants needed for diffusion induced stress models. By examining results from new first principles density functional theory (DFT) calculations of LiCoO 2 , LiMn 2 O 4 , (and their delithiated hosts, CoO 2 and MnO 2 ), Li x Al alloys, and data from the extant literature on LiFePO 4 (and FePO 4 ), LiTi 2 O 4 (and Li 2 Ti 2 O 4 ), Li x Si, Li x Sn and lihtium graphite-interaction-compounds, a compelling picture emerges on the dependency of the elastic properties on Li concentration. Specifically, three distinct categories of behavior are found: (a) the averaged Young's moduli change very minimally upon lithiation of the spinel and olivine structures; (b) lithiation induced stiffening is observed only when new and stronger bonds between the Li ions and the host materials are formed in layered compounds; and (c) for alloy-forming electrode materials, such as Si, β - Sn and Al, the averaged Young's moduli of lithiated compounds follow the linear rule of mixtures. The tendency of ductile or brittle behavior electrode materials is investigated with the Pugh criterion, and a ductile to brittle transition was found to occur during lithiation of Al and β-Sn, but not in Si.