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

被引：91

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] CNAM, Lab Chim Gen, F-75141 Paris, France

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

来源：

CHEMICAL PHYSICS | 2005年 / 317卷 / 01期

关键词：

fluorescence; kinetics; luminescence; phosphorescence; time-resolved spectroscopy;

D O I：

10.1016/j.chemphys.2005.05.026

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 Becquerel (compressed hyperbola) decay law is analyzed in detail and shown to be an interesting approach for the analysis of complex luminescence decays. A decay function unifying the modified Kohlrausch and Becquerel decay laws is also introduced. It is proposed that the analysis of luminescence decays with a sum of Becquerel functions is a powerful alternative to the usual sum of exponentials. It is also shown that some complex decay laws can be written as a sum of an infinite number of exponentials and have for this reason an infinite but discrete spectrum of rate constants. (C) 2005 Elsevier B.V. All rights reserved.

引用

页码：57 / 62

页数：6

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