1993
DOI: 10.1021/j100124a033
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Photophysics of polycyclic aromatic hydrocarbons adsorbed on silica gel surfaces. 1. Fluorescence lifetime distribution analysis: an ill-conditioned problem

Abstract: The ill-conditioned nature of the lifetime distribution analysis is demonstrated using the fluorescence decay data of pyrene adsorbed on variously dehydroxylated silica gel surfaces. A set of physically plausible results can be obtained only after a regularization technique is employed in the data reduction. This study indicates that a bimodal distribution appears to be suitable for describing the lifetime of pyrene adsorbed on a silica gel surface.

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Cited by 82 publications
(44 citation statements)
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“…An optically thick (ϳ0.5 mm) polymer film prepared from the same dye solution was used as a reference sample. The resulting concentration of NBIA in PMMA was about 10 25 M. The polymer provides a reasonably high dielectric contrast between the filler and silica globules (refractive index of 1.490 for PMMA versus ϳ1.3 for opal silica clusters [12,13]), and makes it possible to avoid undesirable interactions of dye molecules with the silica surface [16]. In nonpolar solvents, the NBIA dye has a high quantum yield [17] and a substantial Stokes loss that provides a weak reabsorption of fluorescence.…”
mentioning
confidence: 99%
“…An optically thick (ϳ0.5 mm) polymer film prepared from the same dye solution was used as a reference sample. The resulting concentration of NBIA in PMMA was about 10 25 M. The polymer provides a reasonably high dielectric contrast between the filler and silica globules (refractive index of 1.490 for PMMA versus ϳ1.3 for opal silica clusters [12,13]), and makes it possible to avoid undesirable interactions of dye molecules with the silica surface [16]. In nonpolar solvents, the NBIA dye has a high quantum yield [17] and a substantial Stokes loss that provides a weak reabsorption of fluorescence.…”
mentioning
confidence: 99%
“…Data of the sample signal over the instrumental response were deconvoluted and analyzed by the exponential series method. 35 Ludox® (Sigma-Aldrich) was used as scatterer. Experimental data correspond to expected theoretical values when χ 2 is close to 1.…”
Section: Time-resolved Emission Spectroscopy (Tres)mentioning
confidence: 99%
“…A number of linear and nonlinear regularization methods are known (36,37) that provide stable solutions to ill-posed inverse problems. Of these, the ones used in the analysis of fluorescence decay data are the Maximum Entropy Method (32), an iterative regularization approach known as the Exponential Series Method (33), regularization based on the truncated singular-value decomposition (34) and a method based on Tikhonov-Philips regularization (35). In our case, we employed the Tikhonov regularization approach (36,37), so that the regularized solution f, is computed as:…”
Section: (4)mentioning
confidence: 99%