Abstract

In fluorescence correlation spectroscopy (FCS), an accurate evaluation of the probe volume is the basis of correct interpretation of experimental data and solution of an appropriate diffusion model. Poor fitting convergence has been a problem in the determination of the dimensional parameters, the beam radius, ω, and the distance along the optical axis of the probe volume, <i>l</i>. In this work, the instability of fitting during the calibration process is investigated by examining the χ<sup>2</sup> surfaces. We demonstrate that the minimum of χ<sup>2</sup> in the ω dimension is well defined for both converging and diverging data. The difficulty of fitting comes from the <i>l</i> dimension. The uncertainty in <i>l</i> could be significantly larger than that in ω, as determined by F-statistics. A modified calibration process is recommended based on examining two data treatment methods, combining several short data sets into a single long run and averaging the correlation functions of several short data sets. It is found that by using the mean of several converging correlation functions from short data sets instead of a long time correlation, more stable and consistent dimensional parameters are extracted to define the probe volume.

PDF Article

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription