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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 
 

 

Stability Configurations of Electrons on a Sphere


Author: Michael Goldberg
Journal: Math. Comp. 23 (1969), 785-786
DOI: https://doi.org/10.1090/S0025-5718-69-99642-2
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Abstract: Stable arrangements of electrons in equilibrium on the surface of a sphere have been obtained for most of the cases up to 14 electrons. They resemble the arrangements of the contact points of the faces of an $ n$-hedron of least volume circumscribed about the sphere, except for $ n = 8$. In this case, it is shown that the electrons near the contact points are in equilibrium, but the arrangement is not stable.


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DOI: https://doi.org/10.1090/S0025-5718-69-99642-2
Article copyright: © Copyright 1969 American Mathematical Society

American Mathematical Society