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Principles of Fluorescence Spectroscopy

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636 FLUORESCENCE SENSING<br />

Figure 19.26. Absorption spectra <strong>of</strong> 4-((2',4'-dinitrophenyl)azo)-2-<br />

((octadecylamino)carbon-yl-l-naphthol (KFU 111) in a plasticized<br />

PVC membrane containing potassium tetrakis(4-chlorophyenyl)borate<br />

(PTCB) and valinomycin, in contact with a 100 mM aqueous<br />

solution <strong>of</strong> KCl at pH 7.41, and with potassium-free buffer at pH 7.41.<br />

Revised and reprinted with permission from [85]. Copyright © 1993,<br />

American Chemical Society.<br />

Figure 19.27. Excitation and emission spectra <strong>of</strong> FluoSphereJ particles<br />

contained in the plasticized PVC membrane containing PTCB,<br />

valinomycin, and KFU 111 contacted with a 200 mM KCl solution at<br />

pH 5.22 (dashed) and with plain buffer <strong>of</strong> pH 5.22 (solid). The emission<br />

spectrum <strong>of</strong> the FluoSpheres in the presence <strong>of</strong> K + is distorted<br />

due to the inner filter effect caused by the blue form <strong>of</strong> the absorber<br />

dye. Revised and reprinted with permission from [85]. Copyright ©<br />

1993, American Chemical Society.<br />

Figure 19.28. Response time, relative signal change, and reversibility<br />

<strong>of</strong> the potassium sensor in the presence <strong>of</strong> dye KFU 111 in the membrane;<br />

pH 5.82, excitation/emission wavelengths set to 560/605 nm.<br />

The sensor did not respond to potassium without KFU 11. Revised<br />

and reprinted with permission from [85]. Copyright © 1993,<br />

American Chemical Society.<br />

tially be circumvented by using covalently linked donors<br />

and acceptors.<br />

19.5.4. Theory for Energy Transfer Sensing<br />

The theory for sensing by energy transfer is complex and<br />

depends on the nature <strong>of</strong> the sensor. There are two limiting<br />

cases—unlinked donors and acceptors distributed randomly<br />

in space, and covalently linked donor-acceptor pairs.<br />

Suppose the donor–acceptor pair is not linked and that the<br />

acceptor can exist in two forms with different absorption<br />

spectra and Förster distances (R 01 and R 02 ). The intensity<br />

decay is given by<br />

IDA(t) I0 exp [ t<br />

t<br />

2(γ1 γ2 )<br />

τD √ ] τD (19.2)<br />

where τ D is the donor decay time and γ 1 and α 2 are functions<br />

<strong>of</strong> the acceptor concentration, and are related to R 01 and R 02 ,<br />

as described in Chapter 15 (eqs. 15.1–15.3). Alternatively,<br />

the donor and acceptor may be covalently linked. In this the<br />

intensity decay is given by<br />

IDA(t) ID [ g1 ∞<br />

0 P(r) exp ( t ) dr<br />

τDA1 (1 g1) ∞<br />

0 P(r) exp ( t ) dr ] τDA2 (19.3)

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