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Transition from stochastic events to deterministic ensemble average in electron transfer reactions revealed by single-molecule conductance measurement.


ABSTRACT: Electron transfer reactions can now be followed at the single-molecule level, but the connection between the microscopic and macroscopic data remains to be understood. By monitoring the conductance of a single molecule, we show that the individual electron transfer reaction events are stochastic and manifested as large conductance fluctuations. The fluctuation probability follows first-order kinetics with potential dependent rate constants described by the Butler-Volmer relation. Ensemble averaging of many individual reaction events leads to a deterministic dependence of the conductance on the external electrochemical potential that follows the Nernst equation. This study discloses a systematic transition from stochastic kinetics of individual reaction events to deterministic thermodynamics of ensemble averages and provides insights into electron transfer processes of small systems, consisting of a single molecule or a small number of molecules.

SUBMITTER: Li Y 

PROVIDER: S-EPMC6397580 | biostudies-literature | 2019 Feb

REPOSITORIES: biostudies-literature

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Transition from stochastic events to deterministic ensemble average in electron transfer reactions revealed by single-molecule conductance measurement.

Li Yueqi Y   Wang Hui H   Wang Zixiao Z   Qiao Yanjun Y   Ulstrup Jens J   Chen Hong-Yuan HY   Zhou Gang G   Tao Nongjian N  

Proceedings of the National Academy of Sciences of the United States of America 20190208 9


Electron transfer reactions can now be followed at the single-molecule level, but the connection between the microscopic and macroscopic data remains to be understood. By monitoring the conductance of a single molecule, we show that the individual electron transfer reaction events are stochastic and manifested as large conductance fluctuations. The fluctuation probability follows first-order kinetics with potential dependent rate constants described by the Butler-Volmer relation. Ensemble averag  ...[more]

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