Linearity in the Space of the Reaction Rates

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Authors

Robert Pansu¹

1. CNRS

Conference / event

Chimiométrie Lille, December 2012 (Université de Lille - Polytech, France)

Poster summary

The luminescence decays in solid are complex for at least two reasons : 1-The quenching rate depends on the distance between the exciton and the trap. 2-The decay of a population with an average of 1 trap per exciton defers from the decay of a population with exactly one trap per exciton. In spite of this difficulty, we show that the decay rate depends linearly on the average number of traps per exciton, thanks to a new equation. The presence of a non-quenched population whose fraction follows the Perrin equation, is the proof of the corpuscular nature of traps.

Keywords

Luminescence decay, Perrin, Exciton, Traps

Research areas

Chemical Engineering, Chemistry

References

1. Berberan-Santos, M. N.; Bodunov, E. N.; Valeur, B., Mathematical functions for the analysis of luminescence decays with underlying distributions 1. Kohlrausch decay function (stretched exponential). Chemical Physics 2005, 315 (1-2), 171-182. DOI: 10.1016/j.chemphys.2005.04.006
2. Murata, S.; Tachiya, M., Refined Perrin equation for the analysis of fluorescence quenching by electron transfer. Chem. Phys. Letters 1992, 194, 347-350. DOI: 10.1016/0009-2614(92)86062-m
3. Perrin, F., Loi de décroissance du pouvoir fluorescent en fonction de la concentration. Comptes rendus de l'académie des sciences 1924, 178, 1978-1980. http://visualiseur.bnf.fr/Visualiseur?Destination=Gallica&O=NUMM-3131
4. Hartmann,L. ; Kumar, A.; Welker, M.; Fiore, A.;Julien-Rabant, C. ; Gromova, M.; Bardet, M.; Reiss, P.;Baxter, P. N. W. ;Chandezon, F. Pansu,R. B. ; Quenching Dynamics in CdSe Nanoparticles: Surface Induced Defects upon Dilution. ACS Nano. 2012 6 10, 9033–9041. http://dx.doi.org/10.1021/nn303150j
5. Zhang, Z.; Brosseau, A.; Elie, M.; Renaud, J.-L.; Hamel, M.; Gaillard, S.; Pansu, R. B. Burning TADF Solids Reveals their Excitons’ Mobility. J Photoch Photobio A 2022, 432,114038 10.1016/j.jphotochem.2022.114038

Funding

1. ANR (No. ANR-15-CE39-0006)

Supplemental files

No data provided

Additional information

Competing interests

No competing interests were disclosed.

Data availability statement

The datasets generated during and / or analyzed during the current study are available from the corresponding author on reasonable request.

Creative Commons license

Copyright © 2022 Pansu. This is an open access work distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.