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. 2017 Jul 14;121(35):8211–8241. doi: 10.1021/acs.jpcb.7b03441

Table 1. Formal Analogy of the Description of FRET and Anisotropy for Homogeneous Quenching/Rotation in the Absence of Conformational Dynamicsa.

observables FRET anisotropy
specific fluorescence intensity decays fD|D(DA)(t) Inline graphic
fD|D(D0)(t) Inline graphic
intensity-independent quantifier Inline graphic Inline graphic
species fraction of no FRET molecules/residual anisotropy xnoFRET r
direct interpretation of intensity-independent quantifier εD(t) = xnoFRET+∑ixRET(i)ekRET(i)t Inline graphic
steady-state quantifier by time-resolved measurements Inline graphic Inline graphic
derived steady-state values for single exponential decays Inline graphic Inline graphic
a

E is the FRET efficiency eq 1; kRET is the rate constant of the FRET process eq 9. τD(0) = 1/kD is the lifetime of the donor in the absence of an acceptor, and τD(A) = 1/(kD + kRET) is the lifetime of the donor in the presence of an acceptor. εD(t) is the FRET-induced donor decay. The letters V (vertical) and H (horizontal) represent the polarization of the excitation (first letter) and detection (second letter), respectively. Ideally, the time-resolved anisotropy decay r(t) is obtained by the difference fΔ and the sum f of the experimental measurable intensity decays fVV and fVH. r is the steady-state anisotropy. ρ is the rotational correlation time.