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Zeitschrift für Physikalische Chemie

International journal of research in physical chemistry and chemical physics

Ed. by Rademann, Klaus

12 Issues per year

IMPACT FACTOR 2015: 1.183

SCImago Journal Rank (SJR) 2015: 0.491
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NMR Multi-Time Correlation Functions of Ion Dynamics in Solids

Christian Brinkmann
  • 1 Westfälische Wilhelms-Universität Münster, Institut für Physikalische Chemie, Münster
/ Sandra Faske
  • 2 Westfälische Wilhelms-Universität Münster, Institut für Physikalische Chemie, Münster
/ Barbara Koch
  • 3 Westfälische Wilhelms-Universität Münster, Institut für Physikalische Chemie, Münster
/ Michael Vogel
Published Online: 2010-11-17 | DOI: https://doi.org/10.1524/zpch.2010.0014


We show that NMR multi-time correlation functions provide interesting new insights into the nature of lithium and silver ion dynamics in solids. For solid ion conductors, they usually probe the elementary jumps of the long-range charge transport. NMR two-time correlation functions yield rates and activation energies of the ionic hopping motion. Moreover, they reveal that the ionic relaxation exhibits a strong nonexponentiality in the studied crystals and glasses. NMR three-time correlation functions enable quantitative determination of the origin of the nonexponentiality. For various solid-state electrolytes, the analysis shows that pronounced dynamical heterogeneities govern the ionic hopping motion. If dynamical heterogeneities exist, NMR four-time correlation functions allow one to measure the time scale of exchange processes within the rate distributions. For silver ion dynamics in a crystalline and a glassy material, the results indicate that initially slow ions exhibit random new rates from broad rate distributions after very few jump events.

Keywords: Solid-State Electrolytes; Ion Dynamics; Nuclear Magnetic Resonance; Multi-Time Correlation Functions; Dynamical Heterogeneities

About the article

* Correspondence address: TU Darmstadt, Institut für Festkörperphysik, Hochschulstr. 6, 64289 Darmstadt,

Published Online: 2010-11-17

Published in Print: 2010-11-01

Citation Information: Zeitschrift für Physikalische Chemie, ISSN (Online) 2196-7156, ISSN (Print) 0942-9352, DOI: https://doi.org/10.1524/zpch.2010.0014. Export Citation

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