Development of the algorithm of obtaining the consistent values of radioactive nuclei half-lives

Authors

  • М. В. Стець Institute of Electron Physics, Ukraine
  • Н. Н. Король Zakarpatskyy State University, Ukraine
  • О. М. Поп Institute of Electron Physics, Ukraine
  • В. Т. Маслюк Institute of Electron Physics, Ukraine

DOI:

https://doi.org/10.24144/2415-8038.2012.31.122-128

Keywords:

Activities, Radioactive series, Th232, U235, U238, Oscillation

Abstract

The results of calculation of the nuclei number N and activities A of their radioactive decay for several nuclides of the series chains Th232, U235, U238 are presented for some cases when oscillations of the N(A) values close to zero and monotonous negative N(A) values do appear due to the limited calculation accuracy of the 32-bit computers. The other cause of the above effects is systematic calculation inaccuracy (i.e. inconsistency of the entire aggregate of decay constants present in the Bateman-Rubinson solutions of a system of differential equations that describe nuclei decay and formation). It has been shown that iteration process of clarification of the decay constants will allow one to obtain their consistent values that could be considered physically true.

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Published

2012-06-30

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