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Principles of Fluorescence Spectroscopy

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PRINCIPLES OF FLUORESCENCE SPECTROSCOPY 367<br />

on changes in the rate <strong>of</strong> rotation. Depolarization by rotational<br />

diffusion <strong>of</strong> spherical rotors is described by the Perrin<br />

equation: 35–37<br />

r 0<br />

r<br />

1 τ/θ 1 6Dτ<br />

(10.40)<br />

where τ is the fluorescence lifetime, θ is the rotational correlation<br />

time, and D is the rotational diffusion coefficient. If<br />

the correlation time is much larger than the lifetime (θ >><br />

τ), then the measured anisotropy (r) is equal to the fundamental<br />

anisotropy (r 0 ). If the correlation time is much shorter<br />

than the lifetime (θ

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