Bond valence sums for the ion positions in single-crystal structure data of the garnet-like fast lithium ion conductors Li 5 La 3 M 2 O 12 (M = Nb, Ta) exhibit unusually large deviations from the ideal valences. The root-mean-square bond valence mismatch (commonly termed “global instability index” GII) and the chemical plausibility of the structure model can be significantly improved by optimizing the light atoms (oxygen and lithium) positions using a bond valence mismatch minimization procedure in the previously suggested space group I 2 1 3 or its centrosymmetric counterpart Ia 3̄. Possible pathways for lithium ion migration in Li 5 La 3 M 2 O 12 are identified by a bond valence analysis. Li-bond valence mismatch isosurface models for Li + -ion transport pathways are found to be nearly the same in both compounds Li 5 La 3 Nb 2 O 12 and Li 5 La 3 Ta 2 O 12 . The characteristic feature of the three-dimensional Li + -ion pathway network is a nonplanar square of partially occupied Li sites.
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Thangadurai et al. (2004) studied this question.
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