Table of Contents
ISRN Spectroscopy
Volume 2012, Article ID 316037, 13 pages
Research Article

The Kinetics of Joined Action of Triplet-Triplet Annihilation and First-Order Decay of Molecules in the š¯‘‡ 1 State in the Case of Nondominant First-Order Process

1Spectroscopy and Photochemical Kinetics Department, Max-Planck-Institut Für biophysikalische Chemie, Am Fassberg 11, 37077 Gőttingen, Germany
2Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland
3Department of Characterisation of Nanoelectronic Structures, Institute of Electron Technology, Al. Lotników 32/46, 02-668 Warsaw, Poland

Received 9 April 2012; Accepted 28 May 2012

Academic Editors: W. A. Badawy and S.-I. Kondo

Copyright © 2012 Paweł Borowicz and Bernhard Nickel. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper presents the description of triplet-triplet annihilation in the case of nondominant first-order decay of molecules in the triplet state. The kinetics of the statistical system is influenced by joined action of two processes: the first- and second-order decies. This kinetics can be described with analytical function if the rate parameter of second-order reaction is constant. The approach presented here combines the well-known Smoluchowski formula with the previously published intuitive and non-Fickian models of diffusion-controlled triplet-triplet annihilation. The kinetics of the delayed fluorescence of anthracene is used as a practical example of applicability of the model proposed. The advantages and limits of the proposed model are discussed.