Single-Particle and Ensemble Diffusivities—Test of Ergodicity

1. Florian Feil, 
2. Sergej Naumov, 
3. Jens Michaelis, 
4. Rustem Valiullin, 
5. Dirk Enke, 
6. Jörg Kärger, 
7. Christoph Bräuchle

1. To proof the ergodic theorem experimentally the diffusivities of guest molecules inside a nanostructured porous glass were measured 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).

1. DOI

1. Journal: Angewandte Chemie