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Principles of Fluorescence Spectroscopy

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56 INSTRUMENTATION FOR FLUORESCENCE SPECTROSCOPY<br />

Figure 2.46. Effects <strong>of</strong> optical density on the fluorescence intensity <strong>of</strong><br />

quinine sulfate. The solid line (——) shows the measured intensities,<br />

and the dashed line (– – –) indicates the corrected intensities, according<br />

to equation (2.6) with OD em = 0. These data were obtained in a 1cm<br />

2 cuvette that was centrally illuminated.<br />

upon the optical densities <strong>of</strong> the sample at the excitation<br />

and emission wavelengths.<br />

The data for quinine sulfate in Figure 2.46 illustrates<br />

the effect <strong>of</strong> optical density on fluorescence intensity. The<br />

measured intensity is proportional to optical density only to<br />

an optical density <strong>of</strong> 0.05. The linear range <strong>of</strong> the fluorescence<br />

intensities could be expanded by using <strong>of</strong>f-center<br />

illumination, which reduces the effective light path. These<br />

intensities can be approximately corrected for the inner filter<br />

effects as follows. Suppose the sample has a significant<br />

optical density at both the excitation and emission wavelengths,<br />

OD ex and OD em , respectively. These optical densities<br />

attenuate the excitation and emission by 10 –0.5ODex and<br />

10 –0.5ODem , respectively. Attenuation due to absorption <strong>of</strong> the<br />

incident light or absorption <strong>of</strong> the emitted light are sometimes<br />

called the primary and secondary inner filter effects,<br />

respectively. 56–57 The corrected fluorescence intensity is<br />

given approximately by<br />

F corr F obs antilog ( OD ex OD em<br />

2<br />

(2.6)<br />

The corrected intensities for quinine sulfate are shown<br />

in Figure 2.46, and these calculated values are seen to<br />

match the initial linear portion <strong>of</strong> the curve. For precise corrections<br />

it is preferable to prepare calibration curves using<br />

the precise compounds and conditions that will be used for<br />

the actual experimentation. Empirical corrections are typi-<br />

)<br />

Figure 2.47. Effect <strong>of</strong> concentrations on the intensity <strong>of</strong> anthracene.<br />

Short pass refers to a 1 mm x 10 mm cuvette. Revised from [61].<br />

cally used in most procedures to correct for sample absorbance.<br />

56–60<br />

Figure 2.47 shows the effect <strong>of</strong> anthracene concentration<br />

on its emission intensity as observed for several<br />

geometries. TIRF refers to total internal reflection, which is<br />

described in Chapter 23. Short pass refers to a cuvette, 1 by<br />

10 mm in dimension. The highest signal levels were<br />

obtained with the standard right-angle geometry. The linear<br />

range can be somewhat extended by using other geometries.<br />

Intuitively we may expect that with the front-face geometry<br />

the intensity will become independent <strong>of</strong> fluorophore concentration<br />

at high concentrations. 60,62 Under these conditions<br />

all the incident light is absorbed near the surface <strong>of</strong> the<br />

cuvette. Front-face illumination is also useful for studies <strong>of</strong><br />

optically dense samples such as whole blood, or a highly<br />

scattering solution. The intensity is expected to be proportional<br />

to the ratio <strong>of</strong> the optical density <strong>of</strong> the fluorophore<br />

to that <strong>of</strong> the sample. 63 When front-face illumination is used<br />

the total optical density can be very large (20 or larger).<br />

However, high fluorophore concentrations can result in<br />

quenching due to a variety <strong>of</strong> interactions, such as radiative<br />

and non-radiative transfer and excimer formation. Fluo-

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