Validation of Tritium Calibration Curve in CIEMAT/NIST Activity Measurement Using Non Linear Least Squared Fittings and Calculations of the Half-Life and Decay Constant of Potassium-40

Authors

  • S. Adams
    Department of Physics, Federal University Dutsin-Ma, Katsina State-Nigeria
  • E. Joseph
    Department of Physics, Federal University Dutsin-Ma, Katsina State - Nigeria
  • G. Kamal
    Department of Physics, Federal University, Lafia, Nasarawa State-Nigeria

Keywords:

CIEMAT/NIST method, Liquid Scintillation Counting, Least Square Fit Analysis, Tracer Calibration Curve

Abstract

Non-linear curve fitting of tracer efficiency is one of the uncertainty contributors in CIEMAT/NIST method for specific activity measurement and half-life evaluation of radionuclide. This study applied least squared fitting of four different polynomials to validate the tracer efficiency calibration curve for the specific activity measurements of nine Potassium Chloride samples from which half-life and decay constants were computed. All samples were measured using TR1000 Liquid Scintillation Counter and the results of the relative standard uncertainties in tracer interpolated efficiencies associated with the least square fit analysis were found to be 8.363%, 8.076%, 7.941% and 8.767% for polynomials of n = 2, n = 3, n = 4 and n = 5, respectively. The corresponding values of 40 K specific activity, from the application of empirical efficiencies generated with these polynomials were found to be (16.541, 16.540, 16.537 and 16.548) Bq/g respectively. From these measured specific activity values, the computed half-life and decay constants were found to be (1.2518, 1.2519, 1.2521 and 1.2513) ×109 y (for n = 2, n = 3, n = 4, and n = 5), respectively, and (5.365, 5.5364, 5.5354 and 5.5391) ×10-10 y-1 respectively. All values were found to be in good agreement with results of other literatures. However to minimize uncertainty associated with empirically generated tracer interpolation efficiencies, least squared fit analysis of tracer calibration curve should be done, with control trials using different polynomials so as to obtain the best fit.

Dimensions

S. M. Craig, “Least Square fitting Algorithms of the NIST testing system”, J. Res. Natl. Inst. Stand. Techno. 103 (1998) 633

W. A. Yahya, “Alpha decay half-lives of 171-189 Hg isotopes using modified Gamow-like model and temperature dependent proximity potential”, J. Nig. Soc. Phys. Sci. 2 (2020) 250. https://doi.org/10.46481/jnsps.2020.139

T. Daniel, S. Kisyov, P.H. Regan, N. Marginean, Zs. Podolyak R. Marginean, K. Nomura, M. Rudigier, R Mihai, V. Werner, R.J. Carroll,

L.A.Gurgi, A. Oprea, T. Berry, A. Serban, C.R. Nita, C. Sotty, R. Suvaila, A. Turturica, C. Costache, L. Stan, A. Olacel, M. Boromiza, S.

Toma, S.J. Germanam, F. Gbaorun, I, Ochala, E. C Hemba “ Prompt Response Function (PRF) of Lifetime Measurement in the 2 + State of 192Os Nuclei Energy Levels from Triple-Gamma Coincidence Techniques.”, J. Nig. Soc. Phys. Sci. 2 (2020) 257.

K. Kossert, and E. Günther, “LSC Measurement of the Half-life of 40 K”, Applied Radiation and Isotopes 60 (2004) 459.

A. Grau Malonda, “CIEMAT/NIST method”, Laboratoire National Henri Becquerel (LNHB) www.lnhb.fr/icrm lsc ciemat-nist method (2001).

I.R. Dobrin, M. Pavellescu, and C.N. Dulama, “Measurements of Beta ray emitters in LSC using efficiency tracing CIEMAT/NIST method”, paper presentation at the 11 th International Balkan workshop on applied Physics, Rom. journal Physics 56 (2010) 1148.

A. Snelling, “ Determination of the decay constant and Half-lives of Uranium-238 ( 238 U) and Uranium-235 ( 235 U), and the implications for U-Pb and Pb-Pb Radioisotope Dating methodologies”, Answers research journals 10 (2017) 1.

A.M. Asere, T.O. Owolabi, B.D. Alafe, M.B. Alimi, “Assessment of Excess Gamma Dose Exposure Level in Typical Nigeria Commercial Building Materials Distribution outlets”, J. Nig. Soc. Phys. Sci. 3 (2021) 216. https://doi.org/10.46481/jnsps.2021.188

B. M. Dyavapa, “Mass Resolution of Ca, K Isotopes and CO, N2 and C2 H4 isobars in Isotopes Separators On-Line trap Mass Spectrometry”, J. Nig. Soc. Phys. Sci. 2 (2020) 180. https://doi.org/10.46481/jnsps.2020.101

T. Daniel, A.A. Mc Asule, “Measurement of the Excited Energies Identified in 42 Ca using ROSPHERE Gamma-ray Arrays”, J. Nig. Soc. Phys. Sci. 2 (2020) 166. https://doi.org/10.46481/jnsps.2020.51

W.F. Mc Donough, O. Sramek, S. A. Wipperfurth, “Radiogenic power and Geoneutrino luminosity of terrestrial bodies through time”, Geochemistry, Geophysics, Geosystems 21 (2020) 1.

L.A. Nichols, “Nuclear Decay Data: On-going studies to address and Improve Radionuclide decay characteristics”, CP769 international conference on Nuclear data for Science and Technology American Institute of physics (2005) 242.

E. Joseph, T. Atsue, and S. Adams, “Assessment of Radon-222 in Selected water sources at Dutsin-Ma town, Dutsin-Ma Local government area, Katsina State”, Journal of Science and Engineering Research 5 (2018) 49.

R. P. Cassette, K. Kossert, “Radionuclide metrology using Liquid Scintillation Counting”, Metrologia 44 (2007) S36.

E. W. Günther, “ A simple method for transferring the tritium calibration curve of an LSC system to other radionuclides”, In Liquid spectrometry 1994 (G.T Cook, D.D. Harkness, A.B Mackenzie, B.F Miller, & E.M. Scott, Ed) Radiocarbon (1996) 373.

M. J. L’Annuziata, “Hand book of radioactive analysis” Liquid Scintillation Analysis: Principles and Practice, Montage group, USA (2003).

E. Günther, “Standardization of the EC nuclides 55 Fe and 65 Zn with the CIEMAT/NIST LSC tracer method”, Appl. Radiat. Isot. 49 (1998) 1055.

MARLAP, “Multi-Agency Radiological Laboratory Analytical Protocols Manual”, 1 (2004) 1.

K. Min, R. Mundil, R.P. Renne, and K.R. Ludwig, “A test for systematic errors in 40 Ar/ 39 Ar geochronology through comparism with U/Pb analysis of a 1.1-Ga rhyolite” Geochim Cosmochim Acta. 64 (2000) 73.

R.H. Steiger, & E. Jägar, “ Subcommission on Geochronology Convention on the use of decay constants in geo and cosmochronology earth planet”, Earth and Planetary Sctence Letters 36 (1977) 359.

A. Grau Malonda, & A. Grau Carles, “Half-life determination of 40 K by LSC”, Appl. Radiat. Iso. 56 (2002) 153.

Published

2022-08-20

How to Cite

Validation of Tritium Calibration Curve in CIEMAT/NIST Activity Measurement Using Non Linear Least Squared Fittings and Calculations of the Half-Life and Decay Constant of Potassium-40. (2022). Journal of the Nigerian Society of Physical Sciences, 4(3), 621. https://doi.org/10.46481/jnsps.2022.621

Issue

Volume 4, Issue 3, August 2022

Section

Original Research
Copyright & Licensing

Copyright (c) 2022 S. Adams, E. Joseph, G. Kamal

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Validation of Tritium Calibration Curve in CIEMAT/NIST Activity Measurement Using Non Linear Least Squared Fittings and Calculations of the Half-Life and Decay Constant of Potassium-40. (2022). Journal of the Nigerian Society of Physical Sciences, 4(3), 621. https://doi.org/10.46481/jnsps.2022.621

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