replacement of liquid electrolyte and has the potential to achieve improved safety, higher energy density, and longer cycle life than current commercial lithiumion batteries with liquid electrolytes. [17] Despite significant research efforts, only a few Li SIC materials exhibit an ionic conductivity of >10 −3 S cm −1 at room temperature, and some Li SICs suffer from limited stability, poor interfacial compatibility, or high cost in processing and manufacturing. [6,7,18] A strong need exists for fundamental understanding of these SIC materials in order to design and discover new Li SIC materials.A Li-ion conductor material is comprised of a mobile Li-ion sublattice hosted in a crystal structural framework of immobile polyanion groups. The empty space in between these polyanion groups hosts Li ions as Li sites and forms interconnected channels. Li ions migrate among the sites through these channels, contributing to overall ionic transport. Well-known crystal structural frameworks of SICs include NASICON structure of LiM 2 (PO 4 ) 3 (M = Ge, Ti, Sn, Hf, Zr) compositions, [19] garnet structure of Li x La 3 M 2 O 12 (5 ≤ x ≤ 7, M = Nb, Ta, Sb, Zr, Sn) compositions, [20] and LGPS-type structure of Li 10+x M 1+x P 2−x S 12 (0 ≤ x ≤ 1, M = Si, Ge, Sn) compositions. [21] Recent studies have demonstrated that the crystal structural framework determines Li sites, migration pathways, and the energy landscape, and particular crystal structural frameworks are optimal for low energy barrier Li ion migration. [10,22,23] For example, the crystal structural framework with a body-centered cubic (bcc) anion sublattice, such as found in LGPS and Li 7 P 3 S 11 , has been shown to have an energy landscape with the lowest barrier compared to other anion sublattices, such as in facecentered cubic and hexagonal close packed sublattices. [10] However, some SICs with crystal structural frameworks of non-bcc anion sublattices, such as lithium garnet (e.g., LLZO) and lithium NASICON (e.g., LATP), also exhibit high Li + conductivities as high as ≈10 −3 S cm −1 at RT. It remains an open question as to what features of these crystal structure frameworks enable super-ionic conduction.Due to their unique crystal structural frameworks, SIC materials have highly mobile Li-ion sublattices, which are drastically different from those in typical solids (Figure 1). The disordered Li sublattice of SICs facilitates the transport of a large number of Li ions and yields high ionic conductivity. In the disordered Li sublattice, the Li-ion diffusion mechanism is also distinctive As technologically important materials for solid-state batteries, Li superionic conductors are a class of materials exhibiting exceptionally high ionic conductivity at room temperature. These materials have unique crystal structural frameworks hosting a highly conductive Li sublattice. However, it is not understood why certain crystal structures of the super-ionic conductors lead to high conductivity in the Li sublattice. In this study, using topological analysis and ab initio molecula...