## 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 1463-9084

DOI: https://doi.org/10.1039/C2CP43433D

## Abstract in another language

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 |
---|---|

Refereed: | Yes |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Lehrstuhl Experimentalphysik IX - Spektroskopie weicher Materie > Lehrstuhl Experimentalphysik IX - Spektroskopie weicher Materie - 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 > Lehrstuhl Experimentalphysik IX - Spektroskopie weicher Materie |

Result of work at the UBT: | Yes |

DDC Subjects: | 500 Science > 530 Physics |

Date Deposited: | 11 Apr 2018 11:36 |

Last Modified: | 11 Apr 2018 11:36 |

URI: | https://eref.uni-bayreuth.de/id/eprint/43294 |