Measuring a diffusion coefficient by single-particle tracking : statistical analysis of experimental mean squared displacement curves

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00004771
URN to cite this document: urn:nbn:de:bvb:703-epub-4771-3

Title data

Ernst, Dominique ; Köhler, Jürgen:
Measuring a diffusion coefficient by single-particle tracking : statistical analysis of experimental mean squared displacement curves.
In: Physical Chemistry Chemical Physics. Vol. 15 (2013) Issue 3 . - pp. 845-849.
ISSN 1463-9076
DOI der Verlagsversion: https://doi.org/10.1039/c2cp43433d

Format: PDF Name: c2cp43433d.pdf Version: Published Version Available under License German copyright law. This contribution is freely accessible with the consent of the copyright holder on the basis of an (DFG-funded) alliance or national license. The document may be used free of charge for personal use. In addition, the reproduction, editing, distribution and any kind of exploitation require the written consent of the respective rights holder.

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Project information

Project title:	Project's official title Project's id Nichtlineare Dynamik komplexer Kontinua FOR 608
Project financing:	Deutsche Forschungsgemeinschaft

Abstract

We provide experimental results on the accuracy of diffusion coefficients obtained by a mean squared displacement (MSD) analysis of single-particle trajectories. We have recorded very long trajectories comprising more than 1.5 x 10(5) data points and decomposed these long trajectories into shorter segments providing us with ensembles of trajectories of variable lengths. This enabled a statistical analysis of the resulting MSD curves as a function of the lengths of the segments. We find that the relative error of the diffusion coefficient can be minimized by taking an optimum number of points into account for fitting the MSD curves, and that this optimum does not depend on the segment length. Yet, the magnitude of the relative error for the diffusion coefficient does, and achieving an accuracy in the order of 10% requires the recording of trajectories with about 1000 data points. Finally, we compare our results with theoretical predictions and find very good qualitative and quantitative agreement between experiment and theory.

Further data

Item Type:	Article in a journal
Additional notes (visible to public):	ISI:000312217200016
DDC Subjects:	500 Science > 530 Physics
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics IX - Spectroscopy of Soft Matter > Chair Experimental Physics IX - Spectroscopy of Soft Matter - Univ.-Prof. Dr. Jürgen Köhler Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics IX - Spectroscopy of Soft Matter
Language:	English
Originates at UBT:	Yes
URN:	urn:nbn:de:bvb:703-epub-4771-3
Date Deposited:	03 Sep 2020 05:12
Last Modified:	03 Sep 2020 05:12
URI:	https://epub.uni-bayreuth.de/id/eprint/4771

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