Using lattice dynamics and a unified heat transport theory, we compute the lattice thermal conductivity (κ) of LiSn, a newly synthesized crystalline material for Li-ion batteries. The weak bonding in the Li-rich environment leads to significant softening of the optical phonon modes, temperature-induced hardening, and strong anharmonicity. This complexity is captured in the particle-like and glass-like components of κ by accounting for the temperature-dependent interatomic force constants acting on the renormalized phonon frequencies and three- and four-phonon scatterings contributing to the phonon lifetime. We predict very low room-temperature κ values of 0.857, 0.599, and 0.961 W/mK for the experimental phase and 0.996, 0.908, and 1.385 W/mK for the theoretically predicted phase along the main crystallographic directions. Both phases display complex crystal behavior with glass-like transport exceeding 20% above room-temperature and an unusual κ temperature dependence. Our results can be used to inform system-level thermal models of Li-ion batteries.
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