Liisa Hirvonen edited Method.tex  over 8 years ago

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A simplified diagram of the experimental setup is shown in Fig~\ref{fig:setup}a. The anisotropy measurements were performed with a Leica TCS SP2, a standard confocal inverted microscope. A pulsed diode laser (PLP-10 470, Hamamatsu, Japan; optical pulse width 90~ps) was used as the excitation source at 200~kHz repetition rate (5~$\mu$s between pulses). The beam was focused in the middle of the well containing the sample solution with a 20$\times$ NA0.5 air objective (Leica HC PL Fluotar). The emission was collected with the same objective through a 550~nm long-pass emission filter. A polariser was inserted in the emission path and parallel and perpendicular polarisation components of the fluorescence emission were recorded sequentially with a photomultiplier tube (PCM-100, Hamamatsu, Japan) connected to a time-correlated single photon counting (TCSPC) acquisition card (SPC 150, Becker\&Hickl GmbH, Berlin, Germany). The measurement time window was 5~$\mu$s, with data acquisition time of 30-60~min per data set.  \subsection{Calculation of hydrodynamic radii}  The anisotropies were calculated from the intensity time decays measured in parallel and perpendicular polarisation directions with eq~\ref{eq:anisotropy} (see Fig~\ref{fig:setup}b,c). The anisotropies contain a fast component in addition of the expected longer component and were fitted with gnuplot to a double-exponential function: 

R_h=\sqrt[3]{\frac{3kT}{4\pi}\frac{\phi}{\eta}} \label{eq:R_h}  \end{equation}  where $k$ is the Boltzmann constant, $T$ is the absolute temperature and $\phi/\eta$ is the gradient of the straight line.