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Principles of Fluorescence Spectroscopy

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PRINCIPLES OF FLUORESCENCE SPECTROSCOPY 129<br />

The high time resolution <strong>of</strong> upconversion measurements<br />

can be illustrated by quenching and exciplex formation<br />

<strong>of</strong> 3-cyanoperylene (PeCN) in neat diethylaniline<br />

(DEA). 167–168 The cyano group makes perylene a good electron<br />

acceptor, and DEA is a good electron donor. PeCN in<br />

the excited state undergoes photoinduced electron transfer<br />

(PET) with DEA (Chapter 9). This reaction is very rapid<br />

because in DEA the PeCN molecules are surrounded by<br />

potential electron donors. Emission spectra <strong>of</strong> PeCN show<br />

that it is highly quenched in DEA as compared to a nonelectron-donating<br />

solvent (Figure 4.43). The lower panel<br />

shows the wavelength-dependent decays <strong>of</strong> PeCN. The time<br />

resolution is limited by the pulse width <strong>of</strong> the pump lasers,<br />

which is near 100 fs. The decay time is about 1 ps for the<br />

PeCN emission near 500 nm and about 20 ps for the exciplex<br />

emission.<br />

4.8.4. Microsecond Luminescence Decays<br />

For decay times that become longer than about 20 ns, the<br />

complexity <strong>of</strong> TCSPC is no longer necessary. In fact,<br />

TCSPC is slow and inefficient for long decay times because<br />

<strong>of</strong> the need to use a low pulse repetitive rate and to wait a<br />

long time to detect each photon. In the past such decays<br />

Figure 4.43. Emission spectra and time-resolved decays <strong>of</strong> 3-cyanoperylene<br />

in chlorobenzene (CB) and diethylaniline (DEA). Revised<br />

from [168].<br />

Figure 4.44. Time-resolved intensities measured with a photon counting<br />

multiscalar. Revised from [169].<br />

would be measured using a sampling oscilloscope. At present<br />

the preferred method is to use a multiscalar card. These<br />

devices function as photon-counting detectors that sum the<br />

number <strong>of</strong> photons occurring within a time interval. Figure<br />

4.44 shows the operating principle. Following the excitation<br />

pulse, photons arriving within a defined time interval are<br />

counted. The arrival times within the interval are not<br />

recorded. The time intervals can be uniform, but this<br />

becomes inefficient at long times because many <strong>of</strong> the intervals<br />

will contain no counts. A more efficient approach is to<br />

use intervals that increase with time. The count rates for<br />

multiscalars can be high: up to about 1 GHz. At present the<br />

minimum width <strong>of</strong> a time interval is about 1 ns, with 5 ns<br />

being more typical. Hence, the multiscalars are not yet<br />

practical for measuring ns decays.<br />

An example <strong>of</strong> a decay measured with a multiscalar is<br />

shown in Figure 4.45. The fluorophore was [Ru(bpy) 3 ] 2+ ,<br />

which has a lifetime <strong>of</strong> several hundred nanoseconds. A<br />

large number <strong>of</strong> counts were obtained even with the long<br />

lifetimes. However, the count rate is not as high as one may<br />

expect: about 1 photon per 2 laser pulses. The data acquisition<br />

time would be much longer using traditional TCSPC<br />

with a 1% count rate (Problem 4.6).<br />

4.9. DATA ANALYSIS: NONLINEAR LEAST<br />

SQUARES<br />

Time-resolved fluorescence data are moderately complex,<br />

and in general cannot be analyzed using graphical methods.<br />

Since the mid-1970s many methods have been proposed for<br />

analysis <strong>of</strong> TCSPC data. These include nonlinear least<br />

squares (NLLS), 3,16,170 the method-<strong>of</strong>-moments, 171–173<br />

Laplace transformation, 174–177 the maximum entropy

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