Ion Jump Motion as the Background for Muon Diffusion in Battery Materials Research Using $\mu$SR

Abstract

Numerical simulations of muon spin relaxation ($\mu$SR) in ion diffusion were performed using the {\sl extended} Kubo-Toyabe (KT) relaxation function $G_z^{\mathrm{EA}}(t)$ that incorporates an Edwards-Anderson type autocorrelation function for the jump motion of ions. The analysis of the generated $\mu$SR spectra using the conventional KT function $G_z^{\mathrm{KT}}(t;{\Delta }_{\mathrm{KT}},{\nu }_{\mathrm{KT}})$ (mimicking the previous analysis procedure) suggest that the anomalous peak in the fluctuation rate ${\nu }_{\mathrm{KT}}$ around a specific temperature $T^{\ast }$ and associated decrease of the linewidth ${\Delta }_{\mathrm{KT}}$ above $T^{\ast }$, often observed in the previous $\mu$SR studies on ion diffusion, originate from the sharp increase in the ion jump rate ${\nu }_{\mathrm{i}}$ against that of the muon ${\nu }_{\mu }$ with increasing temperature. This indicates that a more detailed reanalysis of the vintage data using $G_z^{\mathrm{EA}}(t)$ is useful for the proper evaluation of ${\nu }_{\mathrm{i}}$ and ${\nu }_{\mu }$. Meanwhile, it also suggests that the $\mu$SR results showing no such anomaly convey little information on ion diffusion.

5 pages, 3 figures

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Cited by in corpus (1)

• Relationship between local hydride ion dynamics and ionic conductivity in LaH${}_{3-2x}$O${}_x$ inferred from muon study