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 cA is the molar concentration of acceptor, ΦD0 is the @F02453@ @Q04991@ in the absence of acceptor, l is the thickness of the sample, IλD(λ) and ɛA(λ) are the @S05813@ of the @S05827@ of the donor @F02453@ and the @M03972@ of the acceptor, respectively, with the @NT07086@ condition ΦD0 = ∫(λ).IλD(λ).dλ.
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@.