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Single-Particle and Ensemble Diffusivities—Test of Ergodicity

Authors

  • M. Sc. Florian Feil,

    1. Department of Chemistry and Center for NanoScience, Ludwig-Maximilians-University Munich, Butenandtstraße 11, 81377 Munich (Germany)
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    • These authors contributed equally to this work.

  • Dr. Sergej Naumov,

    1. Faculty of Physics and Earth Sciences, University of Leipzig, Linnestraße 5, 04103 Leipzig (Germany)
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    • These authors contributed equally to this work.

  • Prof. Dr. Jens Michaelis,

    1. Department of Chemistry and Center for NanoScience, Ludwig-Maximilians-University Munich, Butenandtstraße 11, 81377 Munich (Germany)
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  • Dr. Rustem Valiullin,

    1. Faculty of Physics and Earth Sciences, University of Leipzig, Linnestraße 5, 04103 Leipzig (Germany)
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  • Prof. Dr. Dirk Enke,

    1. Institute of Chemical Technology, University of Leipzig, Linnestraße 3, 04103 Leipzig (Germany)
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  • Prof. Dr. Jörg Kärger,

    Corresponding author
    1. Faculty of Physics and Earth Sciences, University of Leipzig, Linnestraße 5, 04103 Leipzig (Germany)
    • Faculty of Physics and Earth Sciences, University of Leipzig, Linnestraße 5, 04103 Leipzig (Germany)
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  • Prof. Dr. Christoph Bräuchle

    Corresponding author
    1. Department of Chemistry and Center for NanoScience, Ludwig-Maximilians-University Munich, Butenandtstraße 11, 81377 Munich (Germany)
    • Department of Chemistry and Center for NanoScience, Ludwig-Maximilians-University Munich, Butenandtstraße 11, 81377 Munich (Germany)
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  • This work was funded by FOR 877 “From local constraints to macroscopic transport”, SFB 749, and the Nanosystems Initiative Munich (NIM). We are grateful to Dr. C. Jung for constructive discussions.

Abstract

original image

Um das Ergodentheorem experimentell zu bestätigen, wurden die Diffusionskoeffizienten von Gastmolekülen in einem nanostrukturierten porösen Glasmaterial mit zwei konzeptionell unterschiedlichen Methoden unter identischen Bedingungen gemessen. Die Daten, die durch direkte Beobachtung der diffundierenden Farbstoffmoleküle (rote Kreise) in Einzelmolekülexperimenten erhalten wurden, stimmen mit dem durch gepulste Feldgradienten-NMR-Spektroskopie (schwarze Quadrate) bestimmten Ensemblewert überein.

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