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Nevin Manimala Statistics

Probing long-lived radioactive isotopes on the double-logarithmic Segrè chart

Front Chem. 2024 Feb 12;12:1057928. doi: 10.3389/fchem.2024.1057928. eCollection 2024.

ABSTRACT

Isotopes have been widely applied in a variety of scientific subjects; many aspects of isotopes, however, remain not well understood. In this study, I investigate the relation between the number of neutrons (N) and the number of protons (Z) in stable isotopes of non-radioactive elements and long-lived isotopes of radioactive elements at the double-linear scale (conventional Segrè chart) and the double-logarithmic scale. Statistical analyses show that N is a power-law function of Z for these isotopes: N = 0.73 × Z 1.16. This power-law relation provides better predictions for the numbers of neutrons in stable isotopes of non-radioactive elements and long-lived isotopes of radioactive elements than the linear relation on the conventional Segrè chart. The power-law pattern reveled here offers empirical guidance for probing long-lived isotopes of unknown radioactive elements.

PMID:38410817 | PMC:PMC10894952 | DOI:10.3389/fchem.2024.1057928

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