Journal ArticleDOI
An eigenfunction expansion method for the analysis of exponential decay curves
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TLDR
In this article, a method is developed for the analysis of data composed of random noise, plus an unknown constant "baseline", plus a sum (or an integral over a continuous distribution) of exponential decay functions.Abstract:
A method is developed for the analysis of data composed of random noise, plus an unknown constant ’’baseline,’’ plus a sum (or an integral over a continuous distribution) of exponential decay functions. It is based on the expansion of the solution of a Fredholm integral equation of the first kind in the eigenfunctions of the kernel. In contrast to the Fourier transform solution [Gardner et al., J. Chem. Phys. 31, 978 (1959)], the finite time range of the data is exactly accounted for, and no extrapolation or iteration is necessary. A computer program is available for the analysis of sums of exponentials. It is completely automatic in that the only input are the data (not necessarily in equal intervals of time); no potentially biased initial estimates of either the number or values of the amplitudes and decay constants are needed. These parameters and their standard deviations are decided with a linear hypothesis test corrected approximately for nonlinearity. Tests with simulated two‐, three‐, and four‐com...read more
Citations
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Journal ArticleDOI
Experimental and theoretical decay rates of core-excited quartet levels in Na-like S VI and Cl VII
TL;DR: In this article, the beam-foil method was used to measure the lifetime of quartet levels in 2p53p2 and 2 p53s3d core-excited configurations in Na-like S VI and Cl VII.
Journal ArticleDOI
Hydrogen exchange in hydrated films of proteins: Application to the E. coli lac repressor core
TL;DR: An original easy method of hydrogen to deuterium exchange in hydrated films of proteins, followed by infrared absorption measurements, is described and applied to films of the E. coli lac repressor core to examine the effect of isopropyl-beta-D-thiogalactoside (IPTG) binding.
Journal ArticleDOI
The interactions of mg2+ and ni2+ with several oligo-adenylic acids - equilibria and kinetics
TL;DR: In this article, the binding of Mg 2+ and Ni 2+ to oligo-adenylic acids (Ap ) 2 A, ( Ap ) 7 A, and ( Ap 11 A ) has been investigated at 25°C, ionic strength I ≈ 0.5 M.
Journal ArticleDOI
Analysis of linear reaction systems with three linearly independent steps on the basis of the absorbance tetrahedron and the formal integration
TL;DR: In this article, a general method is developed for the spectroscopic-kinetic analysis of linear reactions (s = 3) on the basis of three-dimensional absorbance diagrams.
Book ChapterDOI
Spectroscopy of ions using fast beams and ion traps
Eric Pinnington,Elmar Träbert +1 more
TL;DR: In this article, the advantages that various techniques have for particular applications are discussed. But, the advantages of these techniques are not discussed in detail, and they are not considered in this paper.
References
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Journal ArticleDOI
Handbook of Mathematical Functions
Journal ArticleDOI
A Fourier method for the analysis of exponential decay curves
TL;DR: A method based on the Fourier convolution theorem is developed for the analysis of data composed of random noise, plus an unknown constant "base line," plus a sum of (or an integral over a continuous spectrum of) exponential decay functions.
Journal ArticleDOI
Method for the Analysis of Multicomponent Exponential Decay Curves
TL;DR: In this article, a mathematical approach based on the inversion of the Laplace integral equation by a method of Fourier transforms was proposed to estimate the physically significant parameters Ni and λi. The results of the analysis appeared in the form of a frequency spectrum.