radiative energy transfer

Also contains definition of: trivial energy transfer
https://doi.org/10.1351/goldbook.R05063
Transfer of excitation energy by radiative deactivation of a donor molecular entity and reabsorption of the emitted radiation by an acceptor molecular entity.
Notes:
  1. Radiative transfer results in a decrease of the donor @F02453@ intensity in the region of @S05818@. Such a distortion of the @F02453@ spectrum is called inner-@F02384@ effect.
  2. Radiative energy transfer depends on the shape and size of the vessel utilized and on the configuration of the latter with respect to excitation and observation.
  3. The fraction \(a\) of photons emitted by D and absorbed by A is given by \[a = \frac{1}{\mathit{\Phi}_{\text{D}}^{0}}\int _{_{\lambda }}I_{\lambda}^{\text{D}}(\lambda)\left [ 1 - 10^{-\varepsilon_{\text{A}}(\lambda)c_{\text{A}}\, l} \right ]\text{d}\lambda\] where \(c_{\text{A}}\) is the molar concentration of acceptor, \(\mathit{\Phi} _{\text{D}}^{0}\) is the @F02453@ @Q04991@ in the absence of acceptor, \(l\) is the thickness of the sample, \(I_{\lambda}^{\text{D}}(\lambda)\) and \(\varepsilon_{\text{A}}(\lambda )\) are the @S05813@ of the @S05827@ of the donor @F02453@ and the @M03972@ of the acceptor, respectively, with the @NT07086@ condition \(\mathit{\Phi} _{\text{D}}^{0} = \int_{\lambda}I_{\lambda}^{\text{D}}(\lambda)\, \text{d}\lambda\).
    For relatively low @A00028@, \(a\) can be approximated by \[a = \frac{2.3}{\mathit{\Phi}_{\text{D}}^{0}}c_{\text{A}}\, l\int _{\lambda}I_{\lambda}^{\text{D}}(\lambda)\varepsilon_{\text{A}}(\lambda)\text{d}\lambda\] where the integral represents the overlap between the donor @F02453@ spectrum and the acceptor @A00043@.
Source:
PAC, 2007, 79, 293. 'Glossary of terms used in photochemistry, 3rd edition (IUPAC Recommendations 2006)' on page 411 (https://doi.org/10.1351/pac200779030293)