Abstract

We report on a comprehensive first-principles investigation of Li diffusion in spinel ${\text{Li}}_{1+x}{\text{Ti}}_{2}{\text{O}}_{4}$, a viable anode material for Li-ion batteries. Concentration dependent diffusion coefficients are calculated by applying kinetic Monte Carlo simulations to a first-principles parametrized cluster expansion of the configurational energy and migration barriers. Diffusion mechanisms in spinel transition metal oxide intercalation compounds are sensitive to the Li concentration. Below $x=0$ in ${\text{Li}}_{1+x}{\text{Ti}}_{2}{\text{O}}_{4}$, Li ions occupy tetrahedral sites and individual Li hops between neighboring tetrahedral sites pass through intermediate octahedral sites, which we find to be activated states as opposed to local minima. The migration barriers are sensitive to the overall Li concentration, decreasing as the Li concentration over the tetrahedral sites is increased. A miscibility gap exists between ${\text{LiTi}}_{2}{\text{O}}_{4}$ and ${\text{Li}}_{2}{\text{Ti}}_{2}{\text{O}}_{4}$. Li-diffusion mechanisms in ${\text{Li}}_{2}{\text{Ti}}_{2}{\text{O}}_{4}$ are qualitatively different from those in ${\text{Li}}_{1+x}{\text{Ti}}_{2}{\text{O}}_{4}$ when $xl0$, with Li hops between neighboring octahedral sites passing through intermediate tetrahedral sites that are locally stable. The present study provides insight to the origin of the high Li mobility in spinel crystal structures compared to the layered crystal structures of common intercalation compounds used as electrodes in Li-ion batteries.

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