Mathematical functions for the analysis of luminescence decays with underlying distributions 1. Kohlrausch decay function (stretched exponential)

被引：482

作者：

Berberan-Santos, MN ^{[1
]}

Bodunov, EN

Valeur, B

机构：

[1] Inst Super Tecn, Ctr Quim Fis Mol, P-1049001 Lisbon, Portugal

[2] Petersburg State Transport Univ, Dept Phys, St Petersburg 190031, Russia

[3] Conservatoire Natl Arts & Metiers, Lab Chim Gen, F-75141 Paris, France

[4] ENS Cachan, Lab PPSM, F-94235 Cachan, France

来源：

CHEMICAL PHYSICS | 2005年 / 315卷 / 1-2期

关键词：

fluorescence decays; luminescence; time-resolved spectroscopy; stretched exponential; kinetics;

D O I：

10.1016/j.chemphys.2005.04.006

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

The Kohlrausch (stretched exponential) decay law is analyzed in detail. Analytical and approximate forms of the distribution of rate constants and related functions are obtained for this law. A simple generalization of the Kohlrausch decay law that eliminates unphysical aspects of the original form is introduced and fully characterized. General results concerning the relation between decay law and distribution of rate constants are also obtained. (C) 2005 Elsevier B.V. All rights reserved.

引用

页码：171 / 182

页数：12

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