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Principles of Fluorescence Spectroscopy

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302 QUENCHING OF FLUORESCENCE<br />

Figure 8.36. Steady-state emission spectra <strong>of</strong> (dashed) diphenylhexatriene<br />

(DPH) and (solid) I-AEDANS in 1.2 mM SDS micelles at<br />

23°C. The concentration <strong>of</strong> diphenylhexatriene was 2 µM, that <strong>of</strong> I-<br />

AEDANS 170 µM. The excitation wavelength was 337 nm. Revised<br />

from [103].<br />

Figure 8.37. Stern-Volmer plots for acrylamide quenching <strong>of</strong> I-<br />

AEDANS, DPH, or I-AEDANS and DPH, in SDS micelles. For the<br />

mixture the solid line represents the fit with calculated parameters K 1<br />

= 9.9 M –1 , K 2 = 0 M –1 , f 1 = 0.69, f 2 = 0.31. The lower panel shows the<br />

residuals for these values. Revised from [103].<br />

and the high solubility <strong>of</strong> acrylamide in water, DPH is<br />

weakly quenched by acrylamide. In contrast, I-AEDANS is<br />

strongly quenched. The extent <strong>of</strong> quenching for the mixture<br />

is intermediate between that observed for each probe alone.<br />

As expected for a mixture <strong>of</strong> fluorophores, the Stern-<br />

Volmer plots curve downward due to the increasing fractional<br />

contribution <strong>of</strong> the more weakly quenched species at<br />

higher quencher concentrations.<br />

Figure 8.38. Quenching resolved emission spectra <strong>of</strong> the DPH-I-<br />

AEDANS mixture (bottom). The solid line shows the emission spectrum<br />

<strong>of</strong> the mixture. The upper panel shows the wavelength-dependent<br />

quenching constant, with average values <strong>of</strong> K 1 = 9.6 M –1 and K 2 =<br />

0.47 M –1 . Revised from [103].<br />

The curvature in the Stern-Volmer plots are used to<br />

recover the values <strong>of</strong> K i (λ) and f i (λ) at each wavelength. In<br />

this case the K i (λ) values were not used as global parameters,<br />

so that K 1 (λ) and K 2 (λ) were obtained for each wavelength.<br />

At wavelengths above 420 nm there were two values<br />

<strong>of</strong> 0.47 and 9.6 M –1 , representing the quenching constants<br />

<strong>of</strong> DPH and I-AEDANS, respectively. At the shortest wavelength<br />

below 420 nm there is only one K i (λ) value because<br />

only DPH emits. The recovered values <strong>of</strong> f i (λ) were used to<br />

calculate the individual spectra from the mixture (Figure<br />

8.38). In Chapters 4 and 5 we showed how the component<br />

spectra for heterogeneous samples could be resolved using<br />

the time-domain or the frequency-domain data. The use <strong>of</strong><br />

wavelength-dependent quenching provides similar results,<br />

without the use <strong>of</strong> complex instrumentation. Of course, the<br />

method depends on the probes being differently sensitive to<br />

collisional quenching, which requires that the decay times<br />

and/or accessibility to quenchers be different.<br />

8.12.2. Quenching-Resolved Emission Spectra <strong>of</strong><br />

the E. Coli Tet Repressor<br />

The tet repressor from E. coli is a DNA-binding protein that<br />

controls the expression <strong>of</strong> genes that confer resistance to

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