
Generalization of the FRAM's Bias
Author(s) -
Duc Vo
Publication year - 2005
Language(s) - English
Resource type - Reports
DOI - 10.2172/861271
Subject(s) - plutonium , burnup , generalization , systematic error , uranium , nuclear engineering , propagation of uncertainty , accelerator mass spectrometry , nuclear physics , environmental science , statistics , physics , mathematics , mass spectrometry , engineering , mathematical analysis , quantum mechanics
The Fixed-Energy Response-Function Analysis with Multiple Efficiency (FRAM) code was developed at Los Alamos National Laboratory to measure the gamma-ray spectrometry of the isotopic composition of plutonium, uranium, and other actinides. Its reported uncertainties of the results come from the propagation of the statistics in the peak areas only. No systematic error components are included in the reported uncertainties. We have done several studies and found that the FRAM's statistical precision can be reasonably represented by its reported uncertainties. The FRAM's biases or systematic uncertainties can come from a variety of sources and can be difficult to determine. We carefully examined the FRAM analytical results of the archival plutonium data and of the data specifically acquired for this isotopic uncertainty analysis project and found the relationship between the bias and other parameters. We worked out the equations representing the biases of the measured isotopes from each measurement using the internal parameters in the spectrum such as peak resolution and shape, region of analysis, and burnup (for plutonium) or enrichment (for uranium)