Förster distance Created 2026-10-14 Updated 2026-10-24
The Förster distance is the separation giving FRET efficiency for the specified pair and conditions. It is a property of the optical pair and its environment, rather than a universal length. In the usual pair model,where is the FRET dipole orientation factor, the FRET donor quantum yield, the FRET spectral overlap integral, and the medium's refractive index. The omitted proportionality constant depends on the unit convention for .[ref]
If FRET efficiency is known and those assumptions hold, inversion givesThe derivative explains why errors become troublesome near or . An illustrative pair with nanometres and another with nanometres both give at their different Förster distances: knowing FRET efficiency alone does not determine .
A heterogeneous population adds another ambiguity. In a synthetic example with equal weights per FRET donor excitation, efficiencies and average to , but their separations are and . Their average separation is approximately , whereas inverting the average FRET efficiency gives . A measured emission ratio has additional detection weights; it need not equal even this excitation-weighted average. The transferable lesson is that an average readout does not uniquely specify a distribution of molecular separations.
Förster resonance energy transfer Created 2026-10-13 Updated 2026-10-20
Förster resonance energy transfer is a nonradiative transfer of energy from an excited state of a FRET donor to a nearby FRET acceptor, through coupling of their electric dipoles. The transfer step does not emit a photon that the FRET acceptor subsequently absorbs. It competes with the FRET donor's own fluorescence and other routes out of its excited state. A fluorescent FRET acceptor can then emit fluorescence; an absorbing but nonfluorescent FRET acceptor can still receive the transferred energy.[ref]
Advanced Fluorescence Microscopy Techniques—FRAP, FLIP, FLAP, FRET and FLIM by Hellen C. Ishikawa-Ankerhold and others. §3.1: nonradiative dipole coupling and a potentially nonfluorescent acceptor
The striking use of FRET is to turn a change in molecular proximity into an optical readout. Proteins carrying a FRET donor and a FRET acceptor may change the readout when they associate, as in the chemotaxis FRET assay; two labels on one protein may report a change in its shape. Interpretation depends on the FRET spectral overlap, FRET dipole orientation factor and labeling geometry, as well as separation. A change in FRET is therefore evidence about proximity under specified conditions, rather than a direct measurement of an arbitrary distance.[ref]
Advanced Fluorescence Microscopy Techniques—FRAP, FLIP, FLAP, FRET and FLIM by Hellen C. Ishikawa-Ankerhold and others. §3.1 and §3.3: dependence on distance and orientation; inter- and intramolecular applications
For a single pair with fixed Förster distance and label separation , the FRET efficiency isAt , half the FRET donor excitations transfer energy. At , the model gives ; at , it gives . The sixth power makes FRET especially useful near the Förster distance, with little sensitivity to further separation once transfer is already negligible. These are model calculations, not measurements of a particular pair.
FRET efficiency versus separation relative to the Förster distance
. Original single-pair mathematical model with fixed Förster distance. The shaded interval is . The curve does not establish a universal working range or justify the electric dipole approximation for overlapping labels. Details. FRET acceptor 2026-10-13
A FRET acceptor receives the excited state energy. Its absorption must support FRET spectral overlap with the FRET donor. FRET sensitized emission requires a fluorescent FRET acceptor; measuring a shortened FRET donor lifetime does not.
FRET spectral overlap 2026-10-14
FRET spectral overlap quantifies overlap between the FRET donor's emission and the FRET acceptor's absorption as functions of wavelength . With normalized donor emission and acceptor molar absorption coefficient , one convention isMatching two emission colors is insufficient: the receiving absorption matters.[ref]
Advanced Fluorescence Microscopy Techniques—FRAP, FLIP, FLAP, FRET and FLIM by Hellen C. Ishikawa-Ankerhold and others. §3.1, equation 17 and Figure 19: normalized donor emission and acceptor absorption overlap
