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Principles of Fluorescence Spectroscopy

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776 SINGLE-MOLECULE DETECTION<br />

Figure 23.33. Polarization properties <strong>of</strong> a single fluorophore with colinear (β = 0) absorption (A) and emission (E) dipoles.<br />

= 0E, even though β = 90E. This surprising result can be<br />

understood as the result <strong>of</strong> the cos 2 θ dependence on<br />

absorption. Since the fluorophore is observed without an<br />

emission polarizer the maximum signal is seen when the<br />

excitation rate is the highest, at θ = 0. A different result is<br />

obtained if the fluorophore is excited with unpolarized light<br />

and observed through an emission polarizer (Figure 23.34,<br />

bottom panel). Now the cos 2 θ dependence is shifted 90E<br />

due to θ = 90E. The same dependence on cos 2 θ would be<br />

observed for any polarization <strong>of</strong> the incident light because<br />

the emission intensity through the polarizer is determined<br />

by the position <strong>of</strong> the emission dipole. The polarization <strong>of</strong><br />

the emission is –1.0 because the emission is polarized along<br />

the y-axis.<br />

In a typical ensemble anisotropy measurement one<br />

usually rotates the emission polarizer to perform the measurement<br />

(Chapter 10). However, in Figure 23.33 and 23.34<br />

(top panels) the excitation polarization was rotated. This is<br />

frequently done in polarized fluorescence microscopy<br />

because <strong>of</strong> the depolarizing effects <strong>of</strong> the microscope objec-<br />

tive. If linearly polarized light is passed through the aperture<br />

and focused on the sample or molecule, the field is partially<br />

depolarized. 61 This effect is a result <strong>of</strong> the large<br />

numerical aperture and the different angles <strong>of</strong> incidence for<br />

light, passing through the center or the outer region <strong>of</strong> the<br />

objective. Light can be brought to the sample without this<br />

effect if the light is not passed through the objective, but<br />

instead directly to the sample (Figure 23.35). The larger<br />

aperture <strong>of</strong> the objective does not affect the emission measurements<br />

because the objective simply collects the emission<br />

which depends only on the orientation <strong>of</strong> the incident polarization<br />

and the fluorophore. The orientation <strong>of</strong> the incident<br />

polarization defines the parallel component (I || ). This component<br />

can be rotated to be at any angle in the focal plane.<br />

Of course, the single molecule will only be excited if its<br />

absorption dipole has a component along the incident electric<br />

field. The emission is collected by an objective and<br />

passed through a filter to remove the scattered light.<br />

In single-molecule experiments every photon is valuable.<br />

The molecule may display blinking and will be

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