https://doi.org/10.1351/goldbook.R05063
Transfer of @E02250@ by radiative @D01528@ of a donor molecular entity and reabsorption of the emitted radiation by an acceptor molecular entity.
Notes:
- 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.
- 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.
- 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@.