Among the photophysical
parameters that underpin Förster
resonance energy transfer (FRET), perhaps the least explored is the
spectral overlap term (J). While by definition J increases linearly with acceptor molar absorption coefficient
(ε(A) in M–1 cm–1), is proportional to wavelength (λ4), and depends
on the degree of overlap of the donor fluorescence and acceptor absorption
spectra, the question arose as to the value of J for
the case of perfect spectral overlap versus that for representative
fluorophores with incomplete spectral overlap. Here, Gaussian distributions
of absorption and fluorescent spectra have been modeled that encompass
varying degrees of overlap, full-width-at-half-maximum (fwhm), and
Stokes shift. For ε(A) = 105 M–1 cm–1 and perfect overlap, the J value (in M–1 cm–1 nm4) ranges from 1.15 × 1014 (200 nm) to 7.07 ×
1016 (1000 nm), is almost linear with λ4 (average of λabs and λflu), and
is nearly independent of fwhm. For visible-region fluorophores with
perfectly overlapped Gaussian spectra, the resulting value of J (JG
–0) is
∼0.71 ε(A)λ4 (M–1 cm–1 nm4). The experimental J values for homotransfer, as occurs in light-harvesting
antennas, were calculated with spectra from a static database of 60
representative compounds (12 groups, 5 compounds each) and found to
range from 4.2 × 1010 (o-xylene)
to 5.3 × 1016 M–1 cm–1 nm4 (a naphthalocyanine). The degree of overlap, defined
by the ratio of the experimental J to the model JG
–0 for perfectly overlapped
spectra, ranges from ∼0.5% (coumarin 151) to 77% (bacteriochlorophyll a). The results provide insights into how a variety of factors
affect the resulting J values. The high degree of
spectral overlap for (bacterio)chlorophylls prompts brief conjecture
concerning the relevance of energy transfer to the question “why
chlorophyll”.