DOI: 10.1063/1.1730560. Method for the Analysis of Multicomponent Exponential Decay Curves

Method for the Analysis of Multicomponent Exponential Decay Curves

10.1063/1.1730560

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

A frequently encountered problem in many branches of science involves the resolution of experimental data into a sum of independent exponential curves of the form f(t)= ∑ i=1nNiexp(−λit),in order to estimate the physically significant parameters Ni and λi. Such problems arise, for example, in the analysis of multicomponent radioactive decay curves, and in the study of the dielectric properties of certain compounds. This paper is concerned with the numerical evaluation of a mathematical approach to the problem. The approach is based on the inversion of the Laplace integral equation by a method of Fourier transforms. The results of the analysis appear in the form of a frequency spectrum. Each true peak in the spectrum indicates a component, the abscissa value at the center of the peak is the decay constant λi, while the height of the peak is directly proportional to Ni/λi. Results obtained on an IBM 650 computer indicate that the method may possess certain advantages over previous methods of analysis.

Bibliography

Gardner, D. G., Gardner, J. C., Laush, G., & Meinke, W. W. (1959). Method for the Analysis of Multicomponent Exponential Decay Curves. The Journal of Chemical Physics, 31(4), 978â986.

Authors 4

Donald G. Gardner (first)
Jeanne C. Gardner (additional)
George Laush (additional)
W. Wayne Meinke (additional)

References 11 Referenced 203

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10.1119/1.1933451 / Am. J. Phys. (1953)
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{'key': '2024020818533969800_r5', 'first-page': '1', 'volume': '6', 'year': '1957', 'journal-title': 'J. Nuclear Energy'} / J. Nuclear Energy (1957)
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{'key': '2024020818533969800_r11', 'first-page': '38', 'volume': '49', 'year': '1928–1929', 'journal-title': 'Proc. Roy. Soc. Edinburgh'} / Proc. Roy. Soc. Edinburgh (1928–1929)

Dates

Type	When
Created	20 years, 7 months ago (Jan. 9, 2005, 8:44 a.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 2:17 p.m.)
Indexed	3 days, 6 hours ago (Sept. 3, 2025, 6:02 a.m.)
Issued	65 years, 11 months ago (Oct. 1, 1959)
Published	65 years, 11 months ago (Oct. 1, 1959)
Published Print	65 years, 11 months ago (Oct. 1, 1959)

Funders 0

None

BibTeX

@article{Gardner_1959, title={Method for the Analysis of Multicomponent Exponential Decay Curves}, volume={31}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1730560}, DOI={10.1063/1.1730560}, number={4}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Gardner, Donald G. and Gardner, Jeanne C. and Laush, George and Meinke, W. Wayne}, year={1959}, month=oct, pages={978–986} }

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