Communication

Single-Particle and Ensemble Diffusivities—Test of Ergodicity†

  1. M. Sc. Florian Feil1,‡,
  2. Dr. Sergej Naumov2,‡,
  3. Prof. Dr. Jens Michaelis1,
  4. Dr. Rustem Valiullin2,
  5. Prof. Dr. Dirk Enke3,
  6. Prof. Dr. Jörg Kärger2,*,
  7. Prof. Dr. Christoph Bräuchle1,*

Article first published online: 18 OCT 2011

DOI: 10.1002/anie.201105388

Issue

Angewandte Chemie International Edition

Angewandte Chemie International Edition

Volume 51, Issue 5, pages 1152–1155, January 27, 2012

Additional Information

How to Cite

Feil, F., Naumov, S., Michaelis, J., Valiullin, R., Enke, D., Kärger, J. and Bräuchle, C. (2012), Single-Particle and Ensemble Diffusivities—Test of Ergodicity. Angew. Chem. Int. Ed., 51: 1152–1155. doi: 10.1002/anie.201105388

Author Information

  1. 1

    Department of Chemistry and Center for NanoScience, Ludwig-Maximilians-University Munich, Butenandtstraße 11, 81377 Munich (Germany)

  2. 2

    Faculty of Physics and Earth Sciences, University of Leipzig, Linnestraße 5, 04103 Leipzig (Germany)

  3. 3

    Institute of Chemical Technology, University of Leipzig, Linnestraße 3, 04103 Leipzig (Germany)

  1. ‡

    These authors contributed equally to this work.

*Faculty of Physics and Earth Sciences, University of Leipzig, Linnestraße 5, 04103 Leipzig (Germany)

  1. †

    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.

  2. ‡

    These authors contributed equally to this work.

Publication History

  1. Issue published online: 24 JAN 2012
  2. Article first published online: 18 OCT 2011
  3. Manuscript Received: 30 JUL 2011

Funded by

  • FOR 877
  • Nanosystems Initiative Munich (NIM)

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Keywords:

  • diffusion;
  • mesoporous materials;
  • NMR spectroscopy;
  • single-molecule studies
Thumbnail image of graphical abstract

To prove the ergodic theorem experimentally the diffusivities of guest molecules inside a nanostructured porous glass were measured by using two conceptually different approaches under identical conditions. The data obtained through the direct observation of dye-molecule diffusion by single-molecule tracking experiments (red circles) was in perfect agreement with the ensemble value obtained in pulsed-field gradient NMR experiments (black squares).

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