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Title: Time sequence determination of parent–daughter radionuclides using gamma-spectrometry

Abstract

The acquisition of time-stamped list (TLIST) data provides additional information useful to gamma-spectrometry analysis. A novel technique is described that uses non-linear least-squares fitting and the Levenberg-Marquardt algorithm to simultaneously determine parent-daughter atoms from time sequence measurements of only the daughter radionuclide. This has been demonstrated for the radioactive decay of short-lived radon progeny (214Pb/214Bi, 212Pb/212Bi) described using the Bateman first-order differential equation. The calculated atoms are in excellent agreement with measured atoms, with a difference of 1.3 – 4.8% for parent atoms and 2.4% - 10.4% for daughter atoms. Measurements are also reported with reduced uncertainty. The technique has potential to redefine gamma-spectrometry analysis.

Authors:
ORCiD logo; ; ;
Publication Date:
Research Org.:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1368105
Report Number(s):
PNNL-SA-124452
Journal ID: ISSN 0236-5731; 453040124
DOE Contract Number:  
AC05-76RL01830
Resource Type:
Journal Article
Journal Name:
Journal of Radioanalytical and Nuclear Chemistry
Additional Journal Information:
Journal Volume: 313; Journal Issue: 1; Journal ID: ISSN 0236-5731
Publisher:
Springer
Country of Publication:
United States
Language:
English

Citation Formats

Burnett, J. L., Britton, R. E., Abrecht, D. G., and Davies, A. V. Time sequence determination of parent–daughter radionuclides using gamma-spectrometry. United States: N. p., 2017. Web. doi:10.1007/s10967-017-5271-5.
Burnett, J. L., Britton, R. E., Abrecht, D. G., & Davies, A. V. Time sequence determination of parent–daughter radionuclides using gamma-spectrometry. United States. doi:10.1007/s10967-017-5271-5.
Burnett, J. L., Britton, R. E., Abrecht, D. G., and Davies, A. V. Sat . "Time sequence determination of parent–daughter radionuclides using gamma-spectrometry". United States. doi:10.1007/s10967-017-5271-5.
@article{osti_1368105,
title = {Time sequence determination of parent–daughter radionuclides using gamma-spectrometry},
author = {Burnett, J. L. and Britton, R. E. and Abrecht, D. G. and Davies, A. V.},
abstractNote = {The acquisition of time-stamped list (TLIST) data provides additional information useful to gamma-spectrometry analysis. A novel technique is described that uses non-linear least-squares fitting and the Levenberg-Marquardt algorithm to simultaneously determine parent-daughter atoms from time sequence measurements of only the daughter radionuclide. This has been demonstrated for the radioactive decay of short-lived radon progeny (214Pb/214Bi, 212Pb/212Bi) described using the Bateman first-order differential equation. The calculated atoms are in excellent agreement with measured atoms, with a difference of 1.3 – 4.8% for parent atoms and 2.4% - 10.4% for daughter atoms. Measurements are also reported with reduced uncertainty. The technique has potential to redefine gamma-spectrometry analysis.},
doi = {10.1007/s10967-017-5271-5},
journal = {Journal of Radioanalytical and Nuclear Chemistry},
issn = {0236-5731},
number = 1,
volume = 313,
place = {United States},
year = {2017},
month = {5}
}

Works referenced in this record:

An Algorithm for Least-Squares Estimation of Nonlinear Parameters
journal, June 1963

  • Marquardt, Donald W.
  • Journal of the Society for Industrial and Applied Mathematics, Vol. 11, Issue 2
  • DOI: 10.1137/0111030