Method for the Analysis of Multicomponent Exponential Decay Curves
dc.contributor.author | Gardner, Donald Glenn | en_US |
dc.contributor.author | Gardner, Jeanne C. | en_US |
dc.contributor.author | Laush, George | en_US |
dc.contributor.author | Meinke, W. Wayne | en_US |
dc.date.accessioned | 2010-05-06T21:34:18Z | |
dc.date.available | 2010-05-06T21:34:18Z | |
dc.date.issued | 1959-10 | en_US |
dc.identifier.citation | Gardner, Donald G.; Gardner, Jeanne C.; Laush, George; Meinke, W. Wayne (1959). "Method for the Analysis of Multicomponent Exponential Decay Curves." The Journal of Chemical Physics 31(4): 978-986. <http://hdl.handle.net/2027.42/70060> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/70060 | |
dc.description.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 formf(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. | en_US |
dc.format.extent | 3102 bytes | |
dc.format.extent | 713603 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | Method for the Analysis of Multicomponent Exponential Decay Curves | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Chemistry, University of Michigan, Ann Arbor, Michigan | en_US |
dc.contributor.affiliationother | Radiation and Nucleonics Laboratory, Westinghouse Electric Corporation, East Pittsburgh, Pennsylvania | en_US |
dc.contributor.affiliationother | Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/70060/2/JCPSA6-31-4-978-1.pdf | |
dc.identifier.doi | 10.1063/1.1730560 | en_US |
dc.identifier.source | The Journal of Chemical Physics | en_US |
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dc.identifier.citedreference | E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals (Oxford University Press, New York, 1937). | en_US |
dc.identifier.citedreference | A. J. Perlis, U.S. Atomic Energy Commission Rept. NP‐786 (September, 1948). | en_US |
dc.identifier.citedreference | R. E. Paley and N. Wiener, Fourier Transforms in the Complex Domain (American Mathematical Society, 1934). | en_US |
dc.identifier.citedreference | Natl. Bur. Standards, Appl. Math. Ser. 34 (1954), “Tables of the gamma function for complex arguments.” | en_US |
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dc.owningcollname | Physics, Department of |
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