Förster Resonance Energy Transfer (FRET) in Light Harvesting

Quantum efficiency of excitation transfer in photosynthetic antenna complexes
k_FRET = (1/τ_D)·(R₀/r)⁶  |  E = 1/(1+(r/R₀)⁶)  |  R₀ = (9000·κ²·η²_D·J·ln10)/(128π⁵·n⁴·N_A))^(1/6)

FRET Parameters

E (efficiency)
k_FRET (ps⁻¹)
τ_eff (ps)
Trap efficiency
FRET mechanism: Non-radiative energy transfer via dipole-dipole coupling. Rate falls as r⁻⁶: k_FRET = (1/τ_D)·(R₀/r)⁶. At r = R₀, exactly 50% efficiency. R₀ typically 20–80 Å for chlorophyll pairs.

Light-harvesting complexes: In plant LHC-II, ~300 chlorophyll molecules arranged in concentric rings transfer excitation energy to the reaction center with ~95% efficiency within ~100 ps. The Fenna-Matthews-Olson (FMO) complex shows quantum coherence in energy transfer at 77K.

Quantum biology: 2007 Fleming group (Science): wave-like quantum coherence in FMO complex at physiological temperature. Debate: does coherence enhance transfer efficiency or is it epiphenomenal? Noise-assisted quantum transport (ENAQT) — optimal dephasing rate may actually maximize efficiency.