Mathematical functions for the analysis of luminescence decays with underlying distributions: 2. Becquerel (compressed hyperbola) and related decay functions

Fluorescence of fullerene C70 in ionic liquids

“…As a consequence, any C 70 lifetime determination by this method is unreliable, as no component can be assigned with confidence to the solute, and indeed none fell in the expected range of values in most cases. A different approach [24,25], already applied to complex decays with success [26], was attempted. The method is based on the analysis with a sum of compressed hyperbolae, or Becquerel functions [24,27].…”

“…A different approach [24,25], already applied to complex decays with success [26], was attempted. The method is based on the analysis with a sum of compressed hyperbolae, or Becquerel functions [24,27]. The method is now briefly described.…”

Fluorescence kinetics of tryptophan in a heterogeneous environment

“…These, so called stretched-exponentials (Fig.1b), have been discussed already in the context of fluorescence applications [14,15]. For (Fig.1c) becomes the Becquerel function [15,16], and has been previously used in protein research, e.g. to study the effect of temperature on tryptophan fluorescence in NATA and HSA [17].…”

Anomalous Decay in Short Time Response of Ternary Mixtures with Ferrofluid

“…Furthermore, this alternative for the exponential is central in the generalized statistical mechanics of Tsallis and its applications [18][19][20]; it corresponds to the Boltzman factor in this scenario and is usually referred to as the q-exponential. This function has been employed in several contexts such as the pioneering studies of luminescence by Becquerel [21,22], sensitivity to initial conditions in nonlinear maps [19,23] and complex systems [19,20]. In view of the log-log plot in Fig.…”