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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1991 May 15;88(10):4401–4403. doi: 10.1073/pnas.88.10.4401

Analysis of the energy of the first four excited states of the ground- state rotational bands of the even-even lanthanon nuclei (58Ce to 70Yb) with the model of a single cluster of nucleons revolving about a sphere.

L Pauling 1
PMCID: PMC51667  PMID: 11607181

Abstract

Analysis of the first four excited energy levels of the ground-state rotational bands of 82 nuclei (isotopes of the seven even-even lanthanons from 58Ce to 70Yb) has provided values of the radius of revolution of a single cluster about a sphere in each nucleus. The number of nucleons m in each cluster is taken to be 2 for neutron number N = 82 in each case for the first excited state, usually increasing by 2 with change in Z or N by +/-2, but sometimes changing by 0 or by 4 or more. The radius of revolution R decreases to a minimum (about 6.7 fm) at N approximately 78, rises sharply at N approximately 86, reaches a maximum (about 7.8 fm) at N approximately 96, and then decreases.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Pauling L. Changes in the structure of nuclei between the magic neutron numbers 50 and 82 as indicated by a rotating-cluster analysis of the energy values of the first 2 excited states of isotopes of cadmium, tin, and tellurium. Proc Natl Acad Sci U S A. 1981 Sep;78(9):5296–5298. doi: 10.1073/pnas.78.9.5296. [DOI] [PMC free article] [PubMed] [Google Scholar]
  2. Pauling L. Orbiting clusters in atomic nuclei. Proc Natl Acad Sci U S A. 1969 Nov;64(3):807–809. doi: 10.1073/pnas.64.3.807. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Pauling L. Regularities in the sequences of the number of nucleons in the revolving clusters for the ground-state energy bands of the even-even nuclei with neutron number equal to or greater than 126. Proc Natl Acad Sci U S A. 1990 Jun;87(12):4435–4438. doi: 10.1073/pnas.87.12.4435. [DOI] [PMC free article] [PubMed] [Google Scholar]
  4. Pauling L. Rules governing the composition of revolving clusters in quasiband and prolate-deformation states of atomic nuclei. Proc Natl Acad Sci U S A. 1982 Nov;79(22):7073–7075. doi: 10.1073/pnas.79.22.7073. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Pauling L. THE CLOSE-PACKED-SPHERON MODEL OF ATOMIC NUCLEI AND ITS RELATION TO THE SHELL MODEL. Proc Natl Acad Sci U S A. 1965 Oct;54(4):989–994. doi: 10.1073/pnas.54.4.989. [DOI] [PMC free article] [PubMed] [Google Scholar]
  6. Pauling L. The Close-Packed-Spheron Theory and Nuclear Fission. Science. 1965 Oct 15;150(3694):297–305. doi: 10.1126/science.150.3694.297. [DOI] [PubMed] [Google Scholar]
  7. Pauling L. Transition from one revolving cluster to two revolving clusters in the ground-state rotational bands of nuclei in the lanthanon region. Proc Natl Acad Sci U S A. 1991 Feb 1;88(3):820–823. doi: 10.1073/pnas.88.3.820. [DOI] [PMC free article] [PubMed] [Google Scholar]

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