“…In the empirical derivation by Loutfy et al , the constant C depends on both the dye and the solvent, and the exponent x was experimentally determined [2] and found to be near 0.6 [1,7,10,17]. Some studies stipulate a temperature-dependent rate of TICT formation [1,3,18], where the relaxation rate through intramolecular rotation (i.e., TICT formation), k rot , follows an Arrhenius function (Equation 3),
where is an intrinsic, dye-dependent reorientation rate, E A is an apparent activation energy, k B is Boltzmann's constant, and T the temperature. The quantum yield ϕ F is inversely proportional to k rot , and therefore, temperature can be assumed to havea significant direct effect on the fluorophore's quantum yield.…”