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Title: Analytical error bars and RSD for neutron multiplicity counting

Abstract

This article derives the standard deviation of the moments of neutron multiplicity distributions for both random and (shift register) triggered counting gates by propagating the multinomial distribution of errors in the counting distribution. Exact and approximate analytical formulas for the singles, doubles, and triples error bars are given along with the corresponding RSD (relative standard deviation). These analytical formulas provide a simple way to analyze and predict error bars without needing empirical data or simulations. The comparison of these analytical error bars to actual measurement errors can reveal systematic errors that are not being accounted for in the modeling of the data.

Authors:
 [1];  [1];  [1]
+ Show Author Affiliations
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1488768
Alternate Identifier(s):
OSTI ID: 1548149
Report Number(s):
LLNL-JRNL-747621
Journal ID: ISSN 0168-9002; 932365
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment
Additional Journal Information:
Journal Volume: 903; Journal Issue: C; Journal ID: ISSN 0168-9002
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND TECHNOLOGY; Neutron multiplicity counting; Signal triggered inspection; Randomly triggered inspection; Fast accidentals

Citation Formats

Prasad, M. K., Snyderman, N. J., and Verbeke, J. M. Analytical error bars and RSD for neutron multiplicity counting. United States: N. p., 2018. Web. doi:10.1016/j.nima.2018.06.010.
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Prasad, M. K., Snyderman, N. J., & Verbeke, J. M. Analytical error bars and RSD for neutron multiplicity counting. United States. https://doi.org/10.1016/j.nima.2018.06.010
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Prasad, M. K., Snyderman, N. J., and Verbeke, J. M. Wed . "Analytical error bars and RSD for neutron multiplicity counting". United States. https://doi.org/10.1016/j.nima.2018.06.010. https://www.osti.gov/servlets/purl/1488768.
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@article{osti_1488768,
title = {Analytical error bars and RSD for neutron multiplicity counting},
author = {Prasad, M. K. and Snyderman, N. J. and Verbeke, J. M.},
abstractNote = {This article derives the standard deviation of the moments of neutron multiplicity distributions for both random and (shift register) triggered counting gates by propagating the multinomial distribution of errors in the counting distribution. Exact and approximate analytical formulas for the singles, doubles, and triples error bars are given along with the corresponding RSD (relative standard deviation). These analytical formulas provide a simple way to analyze and predict error bars without needing empirical data or simulations. The comparison of these analytical error bars to actual measurement errors can reveal systematic errors that are not being accounted for in the modeling of the data.},
doi = {10.1016/j.nima.2018.06.010},
journal = {Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment},
number = C,
volume = 903,
place = {United States},
year = {Wed Jun 20 00:00:00 EDT 2018},
month = {Wed Jun 20 00:00:00 EDT 2018}
}
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Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1016/j.nima.2018.06.010
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Cited by: 5 works
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Figures / Tables:

Figure 1 Figure 1: Relative Standard Deviation $σ$$D$/$D$ on the doubles $D$.
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Works referenced in this record:

Time Interval Distributions and the Rossi Correlation Function
journal, May 2013

  • Prasad, M.; Snyderman, N.; Verbeke, J.
  • Nuclear Science and Engineering, Vol. 174, Issue 1
  • DOI: 10.13182/NSE11-87

Correlation Analysis with Neutron Count Distributions in Randomly or Signal Triggered Time Intervals for Assay of Special Fissile Materials
journal, February 1985

  • Hage, W.; Cifarelli, D. M.
  • Nuclear Science and Engineering, Vol. 89, Issue 2, p. 159-176
  • DOI: 10.13182/NSE85-8

Models for a three-parameter analysis of neutron signal correlation measurements for fissile material assay
journal, November 1986

  • Cifarelli, D. M.; Hage, W.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 251, Issue 3
  • DOI: 10.1016/0168-9002(86)90651-0

Theoretical comparison of the enhanced variance and twin-gate methods for monitoring plutonium in waste
journal, October 1979

Neutron Time Interval Distributions with Background Neutrons
journal, May 2017

Variance results for the second and third reduced sample moments in neutron multiplicity counting for randomly triggered or signal-triggered counting gates
journal, September 2008

  • Burr, T.; Butterfield, K.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 594, Issue 2
  • DOI: 10.1016/j.nima.2008.06.010

Assay variance as a figure of merit for neutron multiplicity counters
journal, May 1990

  • Ensslin, N.; Dytlewski, N.; Krick, M. S.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 290, Issue 1
  • DOI: 10.1016/0168-9002(90)90361-9

Extraction of correlated count rates using various gate generation techniques: Part I theory
journal, November 2012

  • Croft, S.; Henzlova, D.; Hauck, D. K.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 691
  • DOI: 10.1016/j.nima.2012.06.011

Extraction of correlated count rates using various gate generation techniques: Part II Experiment
journal, November 2012

  • Henzlova, D.; Croft, S.; Menlove, H. O.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 691
  • DOI: 10.1016/j.nima.2012.04.091

A Measurement of the Average Number of Prompt Neutrons from Spontaneous Fission of Californium-252
journal, April 1982

  • Spencer, R. R.; Gwin, R.; Ingle, R.
  • Nuclear Science and Engineering, Vol. 80, Issue 4
  • DOI: 10.13182/NSE82-A18973
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    Works referencing / citing this record:

    Simulation of the Nondestructive Assay of 237 Np Using Active Neutron Multiplicity Counting
    journal, September 2019

    On the Feynman-alpha Method for Reflected Fissile Assemblies
    preprint, January 2020

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      Figures / Tables found in this record:

      Figure 1 (p. 11)figure
      Figure 2 (p. 11)figure
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