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

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-liv...

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Bibliographic Details
Main Author: Haitao Shang
Format: Article
Language:English
Published: Frontiers Media S.A. 2024-02-01
Series:Frontiers in Chemistry
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fchem.2024.1057928/full
Description
Summary: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 × Z1.16. 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.
ISSN:2296-2646