DocumentCode :
787331
Title :
Methods of Data Reduction in Analyzing Positron Annihilation Lifetime Spectra
Author :
Tao, S.J.
Author_Institution :
New England Institute for Medical Research Ridgefield, Connecticut
Volume :
15
Issue :
1
fYear :
1968
Firstpage :
175
Lastpage :
187
Abstract :
The methods of data reduction used in processing the positron annihilation lifetime spectra are thoroughly discussed. For curves which are believed to represent a multi-exponential scheme the methods of least squares is still found to be the most useful one. Its convergence properties, the confidence level of its result and the effect of instrument noise to the result are also discussed. The method of Fourier transforms can also provide reasonable answers, however, its precision is quite limited. For curves which do not appear as multi-exponentials the calculation of time dependent annihilation rate ¿(t) is one of the simplest methods. A direct calculation of energy dependent annihilation rate ¿(E), or cross section, in general, is not possible since diffusion approximation is not always applicable and our knowledge in the scattering process is quite limited. However, in inert gases, without strong annihilation, a fair estimate of ¿(E) may be obtained after certain approximations are made.
Keywords :
Convergence; Data analysis; Fourier transforms; Gases; Instruments; Least squares approximation; Least squares methods; Noise level; Positrons; Scattering;
fLanguage :
English
Journal_Title :
Nuclear Science, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9499
Type :
jour
DOI :
10.1109/TNS.1968.4324851
Filename :
4324851
Link To Document :
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