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spectral overlap

In the context of radiative energy transfer, the integral, J = ∫ 0 ∞ f D ' σ ɛ A σ ⁢ d σ, which measures the overlap of the emission spectrum of the excited donor, D, and the absorption spectrum of the ground state acceptor, A; f D ' is the measured normalized emission of D, f D ' = f D σ ∫ 0 ∞ f D σ ⁢ d σ, f D σ is the photon exitance of the donor at wavenumber σ, and ɛ A σ is the decadic molar absorption coefficient of A at wavenumber σ. In the context of Förster excitation transfer, J is given by:
J = ∫ 0 ∞ f D ' σ ɛ A σ σ 4 ⁢ d σ
In the context of Dexter excitation transfer, J is given by:
J = ∫ 0 ∞ f D σ ɛ A σ ⁢ d σ
In this case f D and ɛ A, the emission spectrum of donor and absorption spectrum of acceptor, respectively, are both normalized to unity, so that the rate constant for energy transfer, k ET, is independent of the oscillator strength of both transitions (contrast to Förster mechanism).
Source:
PAC, 1996, 68, 2223 (Glossary of terms used in photochemistry (IUPAC Recommendations 1996)) on page 2275
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IUPAC. Compendium of Chemical Terminology, 2nd ed. (the "Gold Book"). Compiled by A. D. McNaught and A. Wilkinson. Blackwell Scientific Publications, Oxford (1997). XML on-line corrected version: http://goldbook.iupac.org (2006-) created by M. Nic, J. Jirat, B. Kosata; updates compiled by A. Jenkins. ISBN 0-9678550-9-8. https://doi.org/10.1351/goldbook.
Last update: 2014-02-24; version: 2.3.3.
DOI of this term: https://doi.org/10.1351/goldbook.S05818.
Original PDF version: http://www.iupac.org/goldbook/S05818.pdf. The PDF version is out of date and is provided for reference purposes only. For some entries, the PDF version may be unavailable.
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