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Principles of Fluorescence Spectroscopy

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252 DYNAMICS OF SOLVENT AND SPECTRAL RELAXATION<br />

Figure 7.25. Time-resolved emission center <strong>of</strong> gravity <strong>of</strong> Yt-base in npropanol<br />

at –20°C. From [78].<br />

ation times are required to explain the time-dependent shifts<br />

(Figure 7.25). One can use the correlation functions C(t) to<br />

compare the measured and expected relaxation times (Figure<br />

7.26). For Yt-base in propanol the decay <strong>of</strong> C(t) is faster<br />

than predicted from the dielectric relaxation time τ D , and<br />

slower than predicted from the longitudinal relaxation time<br />

Figure 7.26. Extent <strong>of</strong> spectral relaxation for Yt-base [C(t)], compared<br />

to the dielectric (τ D ) and longitudinal (τ L ) relaxation times <strong>of</strong> npropanol<br />

at –20°C. Revised from [78].<br />

τ L . This result is typical <strong>of</strong> that observed for many fluorophores<br />

in polar solvents. 79<br />

7.6. MEASUREMENT OF MULTI-EXPONENTIAL<br />

SPECTRAL RELAXATION<br />

Measurement <strong>of</strong> the complete process <strong>of</strong> spectral relaxation<br />

is a technological challenge. Such measurements are difficult<br />

because relaxation occurs over a wide range <strong>of</strong><br />

timescales. For instance, the dielectric relaxation times for<br />

a simple solvent like n-octanol range from 3 to 1780 ps<br />

(Table 7.3). Hence the apparatus needs to have resolution <strong>of</strong><br />

both ps and ns processes. As discussed in Chapter 4,<br />

Figure 7.27. Chemical structures <strong>of</strong> an amphiphilic starlike macromolecule<br />

(ASM) and coumarin 102 (C102). The lower panel shows<br />

the emission spectra <strong>of</strong> C102 in cyclohexane (blue), ethyl acetate<br />

(green), octanol (orange), water (red) and bound to the ASM in water<br />

(black). Reprinted with permission from [80]. Copyright © 2002,<br />

American Chemical Society. Courtesy <strong>of</strong> Dr. Edward W. Castner, Jr.<br />

from the Rutgers University, NJ.

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