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Principles of Fluorescence Spectroscopy

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PRINCIPLES OF FLUORESCENCE SPECTROSCOPY 407<br />

Figure 11.34. Correlation time images <strong>of</strong> R6G in various solvents (top) and histograms <strong>of</strong> the recovered correlation times (bottom). The upper three<br />

images are R6G in methanol. Revised from [105].<br />

nent to about 6 ns. The polarized intensity decays are visually<br />

seen to be multi-exponential as predicted by eqs. 11.1<br />

and 11.2.<br />

The time-dependent decays were used to create FLIM<br />

images <strong>of</strong> the samples (Figure 11.33, left). The lifetimes at<br />

each pixel in the images are apparent lifetimes that are<br />

some weighted averages <strong>of</strong> the multi-exponential decays. In<br />

methanol the apparent lifetimes are the same regardless <strong>of</strong><br />

the polarization, as expected based on the short correlation<br />

time. In ethylene glycol the apparent lifetime <strong>of</strong> the parallel<br />

component is shorter than the perpendicular component.<br />

The parallel component has a shorter apparent lifetime<br />

because the transition moments are rotating away from the<br />

orientation <strong>of</strong> the observation polarizer. These results show<br />

that the gated polarized intensity images contain information<br />

in the correlation times <strong>of</strong> the samples.<br />

There can be some confusion about the difference in<br />

apparent lifetime with horizontal excitation (Figure 11.33,<br />

lower left). With the usual right angle geometry horizontal<br />

excitation results in the same signals in the parallel and perpendicular<br />

channels (Section 10.4). The geometry is different<br />

for the instrument in Figure 11.32 where the emission is<br />

observed along the same axis as the excitation. For this<br />

geometry rotation <strong>of</strong> the excitation polarizer reverses the<br />

signals in the two polarized observation channels.<br />

The polarized time-dependent intensities can be used<br />

to calculate the correlation times (Figure 11.34). The color<br />

<strong>of</strong> the images reveals the longer correlation times <strong>of</strong> R6G in

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