Jump to main content
Jump to site search

Issue 3, 2013
Previous Article Next Article

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

Author affiliations

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 × 105 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.

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

Back to tab navigation

Supplementary files

Article information


Submitted
28 Sep 2012
Accepted
13 Nov 2012
First published
14 Nov 2012

Phys. Chem. Chem. Phys., 2013,15, 845-849
Article type
Paper

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

D. Ernst and J. Köhler, Phys. Chem. Chem. Phys., 2013, 15, 845 DOI: 10.1039/C2CP43433D

To request permission to reproduce material from this article, please go to the Copyright Clearance Center request page.

If you are an author contributing to an RSC publication, you do not need to request permission provided correct acknowledgement is given.

If you are the author of this article, you do not need to request permission to reproduce figures and diagrams provided correct acknowledgement is given. If you want to reproduce the whole article in a third-party publication (excluding your thesis/dissertation for which permission is not required) please go to the Copyright Clearance Center request page.

Read more about how to correctly acknowledge RSC content.


Social activity

Search articles by author

Spotlight

Advertisements