Structural and Electronic Properties of Lithiated SnO<sub>2</sub>. A Periodic DFT Study

Abstract

The structural and electronic properties of the intercalation compound Li<sub><i>x</i></sub>SnO<sub>2</sub> (<i>x</i> = 1/16, 1/8, 1/4, 1/2, 1) as well as the inherent diffusion mechanism of Li ion into the rutile SnO<sub>2</sub> were investigated by means of periodic density functional calculations. Optimized structural parameters, cohesive energies, electronic band structure, and density-of-states and Mulliken charges for the Li<sub><i>x</i></sub>SnO<sub>2</sub> system at different Li ordering for each Li content are reported. The energetic profiles for the Li diffusion process into rutile SnO<sub>2</sub> are also presented. Our calculation indicates substantial host distortion around intercalation sites, predominantly along the <i>ab</i>-planes. These deformations are found to be related to the soft B<sub>1g</sub>, E<sub>u</sub>, A<sub>2g</sub>, and A<sub>1g</sub> vibrational modes of very low frequency and therefore easy to be achieved. The corresponding variation in volume monotonically increases with the Li concentration. Cohesive energies are consistent with continuous and reversible intercalation process. In lithiated SnO<sub>2</sub>, lithium is significantly ionized; however, the distribution pattern of the charge transferred from the lithium to the host is very dependent upon the ion concentration. By increasing the Li content, the relative amount of charge transferred to the Sn atoms decreases whereas the charge transferred to oxygen atoms increases. Lithium intercalation causes a chemical reduction of SnO<sub>2</sub> and yields metallic properties. Effects induced by Li intercalation on the electronic band structures of SnO<sub>2</sub> were assessed according to their origins, i.e., if they originate from lattice expansion or from chemical reduction. The energy difference between the valence-band maximum and conduction-band minimum of lithiated SnO<sub>2</sub> decreases with increasing Li content. Lithium diffusion along the <i>c</i>-direction demands significantly lower activation energy than the energy required for diffusion along <i>ab</i>-planes. Energetic barriers related to the lithium diffusion into SnO<sub>2</sub> were found to be dependent upon the Li content

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