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The Lifetimes of 238U Nuclei, the Escaping Attempts of Their Alpha Particles and the Geiger-Nuttall Law

Author:

Premovic, Pavle I.

Category:

Research Papers

Sub-Category:

Chemistry

Language:

English

Date Published:

November 02, 2024

File:

/Research Papers-Chemistry/Download/9008

Downloads:

143

Keywords:

Radioactive decay, mean lifetime, 238U, α-particle, escape, Geiger-Nuttall law

Abstract:

We consider here the large populations of 238U nuclei and their emitted alpha particles. The main points are: (a) a time interval for which alpha particle of 238U nucleus makes one attempt to escape is approximately 10-21 seconds; (b) the number of the mean escape attempts is ~ 2×1038; (c) contribution of the tunneling time of 238U nucleus to the meantime and to the lifetime of each nucleus is negligible; (d) the sum of the lifetimes of 238U nuclei and the sum of the number of escape attempts of their alpha particles are constant. Consequently, the ratio of these two sums is also constant, and is about 10-21 seconds; and, (e) a new mathematical form of the Geiger-Nuttall law is derived using a very simple theoretical approach.