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Principles of Fluorescence Spectroscopy

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PRINCIPLES OF FLUORESCENCE SPECTROSCOPY 815<br />

ity in membranes. When performing FRAP a laser is<br />

focused on the region <strong>of</strong> interest in the membrane. 74–76 The<br />

laser is transiently brought to high intensity to photobleach<br />

the fluorophores in the focal region. The laser intensity is<br />

then decreased to allow continuous monitoring <strong>of</strong> the emission<br />

from this same region <strong>of</strong> the membrane. The intensity<br />

increases as the unbleached probes diffuse into the bleached<br />

area, and the rate <strong>of</strong> recovery is used to determine the diffusion<br />

coefficients. In this FRAP measurement the experimental<br />

system was synchronized with the bleaching pulse<br />

and the system studied as it returned to equilibrium. The<br />

system is not stationary during the experiment. In contrast<br />

to FRAP, FCS measurements are performed under stationary<br />

conditions. The system is hopefully not perturbed by the<br />

illumination needed for FCS. Information about mobility in<br />

the membrane is obtained by diffusion <strong>of</strong> the probe molecules<br />

under equilibrium conditions.<br />

24.6. EFFECTS OF INTERSYSTEM CROSSING<br />

In the preceding sections we described the effects <strong>of</strong> translational<br />

diffusion on the autocorrelation functions <strong>of</strong><br />

labeled molecules. Diffusion is just one <strong>of</strong> several mechanisms<br />

that can cause intensity fluctuations, and such<br />

processes can be studied by FCS. Because <strong>of</strong> the high illumination<br />

intensities in FCS, intersystem crossing from the<br />

first excited singlet state (S 1 ) to the triplet state (T) is frequently<br />

observed. A Jablonski diagram for intersystem<br />

crossing is shown in Figure 24.23. The excitation intensities<br />

used in FCS can result in a significant fraction <strong>of</strong> the fluorophores<br />

in the triplet state. The fluorophores in the triplet<br />

state are not observed, resulting in an apparent decrease in<br />

Figure 24.23. Jablonski diagram with intersystem crossing from the<br />

singlet (S) to the triplet (T) state. k 10 is the sum <strong>of</strong> the radiative and<br />

non-radiative decay rates.<br />

Figure 24.24. Effect <strong>of</strong> illumination intensity, iodide, and oxygen on<br />

the normalized autocorrelation function <strong>of</strong> rhodamine 6G in water.<br />

Revised and reprinted with permission from [78]. Copyright © 1995,<br />

American Chemical Society.<br />

the number <strong>of</strong> fluorophores in the effective volume. If the<br />

fluorophores do not return to S 0 within the diffusion time<br />

then only the amplitude <strong>of</strong> the correlation function will be<br />

changed. If the triplet fluorophores can return to S 0 within<br />

the diffusion time then this is a mechanism that can cause<br />

fluctuations or blinking <strong>of</strong> the fluorophores, 77–80 as is also<br />

observed in single-molecule experiments.<br />

Prior to describing the theory for blinking in FCS it is<br />

informative to examine some examples. The top panel in<br />

Figure 24.24 shows autocorrelation functions for rhodamine<br />

6G (R6G) in water, using different illumination<br />

intensities. At low incident power <strong>of</strong> 48 µW, G(τ) appears<br />

normal with a diffusion time near 0.03 ms (top panel). As<br />

the incident power increases a new component appears in

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