Harmonization of basic nuclear-physical constants in the nuclear dating method: standard sets of nuclide
DOI:
https://doi.org/10.24144/2415-8038.2018.44.109-118Keywords:
A method of standard sets of nuclide, Nuclear constants, Non-physical solutions, Long arithmetics, Harmonization, Calculation code, WEB-designAbstract
Background. The important characteristic of radioactive decay is the half-life period. For various radioactive isotopes the half-life period can lie in very wide ranges - from nanoseconds to millions years. It is shown that the existing databases of such constants can lead to non-physical, in particular, negative values of the activities of genetically related nuclides of natural series.
Methods: The scheme of harmonization of the nuclear-physical constants of nuclides of natural series 232Th, 235U, and 238U is presented, using the method of standard sets of nuclides and the method of statistical modeling. A feature of the approach is the use at calculations of "long arithmetics» and the Monte-Carlo method, in a time interval [0, 1012] years. The most interesting for harmonization of nuclear constants is the interval [0, 1-2] years.
Results: It is shown that the solution of the system of differential equations of Bateman depends on all set of values of the decay constants λі, which significantly (in 1015 times) differ in magnitude. It explains why the results of numerical modelling of the activities of some nuclides of natural series show the presence of non-physical (negative) solutions, for example, in the vicinity of the start time of the time. Possibilities of the calculation technique are illustrated on an example of nuclides of the natural series 232Th. The first results of harmonization of nuclear-physical constants are obtained.
Conclusions: The created software in the form of the web application with modern web standards. The program gives functionality for tasks in view by representation 3D files
References
Collé R., Fitzgerald R.P., Laureano–Perez L. A new determination of the 209Po half-life // J. Phys. G: Nucl. Part. Phys. – 2014. – 41. – 105103 (12pp) (doi:10.1088/0954-3899/41/10/105103).
Begemann F., Ludwig K.R., Lugmair G.W., Min K., Nyquist L.E., Patchett P.J., Renne P.R., Shih C.-Y., VillA I.M., Walker R.J. Call for an improved set of decay constants for geochronological use // Geochimica et Cosmochimica Acta. – 2001. – Vol. 65, No. 1. – pp. 111–121.
Mattinson James M. Analysis of the relative decay constants of 235U and 238U by multi-step CA-TIMS measurements of closed-system natural zircon samples // Chemical Geology. – 2010. – V. 275. – pp. 186–198 (doi:10.1016/j.chemgeo.2010.05.007).
Parsons-Davis Tashi, Wimpenny Josh, Keller C. Brenhin, Thomas Keenan, Samperton Kyle M., Renne Paul R., Mundil Roland, Moody Ken, Knight Kim, Kristo Michael J., Williams Ross New measurement of the 238U decay constant with inductively coupled plasma mass spectrometry // Journal of Radioanalytical and Nuclear Chemistry. – 2018. – V. 318. – pp. 711–721 (https://doi.org/10.1007/s10967-018-6148-y).
Varga Zsolt, Nicholl Adrian, Mayer Klaus Determination of the 229Th half-life // Physical Review C. – 2014. – 89. – 064310 (DOI: 10.1103/PhysRevC.89.064310).
Snelling Andrew A. Determination of the Radioisotope Decay Constants and Half-lives: Potassium-40 (40K) // Answers Research Journal. – 2016. – 9. – pp. 171-196.
NuDat 2 ver. 2.7. Оn-line data base of National Nuclear Data Center, Brookhaven National Laboratory.
Гусев Н.С., Дмитриев П.П. Радиоактивные цепочки: справочник. – М., Атомиздат, 1978. – 88 с.
Pop O., Maslyuk V. Applications of the uranium’s set of isotopes for nuclear dating: the Monte-Carlo method // Radiochimica Acta. – 2018 (https://doi.org/10.1515/ract-2018-3001).
Downloads
Published
Issue
Section
License
Copyright (c) 2018 Scientific Herald of Uzhhorod University.Series Physics

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors who publish with this journal agree to the following terms:- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).