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首页> 美国政府科技报告 >THE QUANTITATIVE ANALYSIS OF SETS OF MULTICOMPONENT TIME DEPENDENT SPECTRA FROM DECAY OF RADIONUCLIDES
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THE QUANTITATIVE ANALYSIS OF SETS OF MULTICOMPONENT TIME DEPENDENT SPECTRA FROM DECAY OF RADIONUCLIDES

机译：放射性核素衰变的多组分时间依赖谱集的定量分析

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摘要

A weighted least squares method for estimating the contributions of individual radionuclides in a multicomponent pulse -height spectrum is described. The method is equally applicable for a set of spectra recorded over a period of time. The use of decay characteristics in addition to pulse-height characteristics increases the application and sensitivity of the method.nPrecise estimation using counting data must take account of the nature of the variation in the data. Variation in pulse-height spectrum data consists of statistical variation inherent in the radioactive decay process, statistical variations in the detection process, and gain change and zero drift errors associated with the electronic equipment.nThe nature of counting statistic randomness is well-known and easily considered in the estimation problem. This randomness enters at three stages of the quantitative analysis. First, individual channel group total counts in the sample spectra have variances approximately equal to the size of the count. If the length of the counting period is long compared to nuclide half-lives the total counts in pairs of channel groups are negatively correlated. Second, background corrections are based on empirical background spectra which have a random structure similar to sample spectra. And third, standard spectra are either purely empirical or mathematical forms which simulate the characteristics of empirical spectra. In either case, there is a measurable degree of randomness in the standards.

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