DOI: 10.1063/1.1724118. A Note on the Theory of Diffusion Controlled Reactions with Application to the Quenching of Fluorescence

A Note on the Theory of Diffusion Controlled Reactions with Application to the Quenching of Fluorescence

10.1063/1.1724118

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The principles of Smoluchowski's collision theory of reactions in solution are outlined. This theory is applicable to reactions which occur immediately on the collision of two reactant particles; that is, diffusion controlled reactions. The rate of such reactions depends on the collision frequency of reactants. In this paper an expression for the collision frequency is derived as a function of time when initially there is a Boltzmann distribution of particles around any particular reactant molecule. Both the Brownian motion of and the forces between reactant molecules are considered in the calculation. The general results are applied to the theory of quenching of fluorescence. It is shown that the quenching constant, kQ, defined by (I0I−1)⧸nQ=kQ,(where I0 is the intensity of fluorescence in the absence of quencher and I the intensity in the presence of quencher of concentration nQ) can be expressed as a sum of two terms, one proportional to the reciprocal of the viscosity of the solvent and the other to the reciprocal of the square root of the viscosity.

Bibliography

Montroll, E. W. (1946). A Note on the Theory of Diffusion Controlled Reactions with Application to the Quenching of Fluorescence. The Journal of Chemical Physics, 14(3), 202â211.

Authors 1

Elliott W. Montroll (first)

References 12 Referenced 80

{'key': '2024020812460320300_r1', 'first-page': '557', 'volume': '17', 'year': '1916', 'journal-title': 'Physik. Zeits.'} / Physik. Zeits. (1916)
{'key': '2024020812460320300_r1a', 'first-page': '129', 'volume': '92', 'year': '1917', 'journal-title': 'Zeits. f. Physik. Chemie'} / Zeits. f. Physik. Chemie (1917)
{'key': '2024020812460320300_r2', 'first-page': '600', 'volume': '92', 'year': '1917', 'journal-title': 'Zeits. f. Physik. Chemie'} / Zeits. f. Physik. Chemie (1917)
10.1007/BF02555591 / Kolloid-Chem. Beihefte (1926)
{'key': '2024020812460320300_r4', 'first-page': '257', 'volume': '3', 'year': '1935', 'journal-title': 'Acta Physicochimica U.S.S.R.'} / Acta Physicochimica U.S.S.R. (1935)
10.1149/1.3071413 / Trans. Electrochem. Soc. (1942)
10.1021/ja01223a023 / J. Am. Chem. Soc. (1945)
{'key': '2024020812460320300_r7', 'first-page': '1103', 'volume': '48', 'year': '1915', 'journal-title': 'Ann. d. Physik'} / Ann. d. Physik (1915)
10.1103/RevModPhys.15.1 / Rev. Mod. Phys. (1943)
{'key': '2024020812460320300_r8'}
{'key': '2024020812460320300_r9'}
10.1063/1.1723769 / J. Chem. Phys. (1942)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 5, 2005, 7:16 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 7:46 a.m.)
Indexed	1 year ago (July 28, 2024, 6:30 p.m.)
Issued	79 years, 5 months ago (March 1, 1946)
Published	79 years, 5 months ago (March 1, 1946)
Published Print	79 years, 5 months ago (March 1, 1946)

Funders 0

None

BibTeX

@article{Montroll_1946, title={A Note on the Theory of Diffusion Controlled Reactions with Application to the Quenching of Fluorescence}, volume={14}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1724118}, DOI={10.1063/1.1724118}, number={3}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Montroll, Elliott W.}, year={1946}, month=mar, pages={202–211} }

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