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Mathematics of Computation

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Stability Configurations of Electrons on a Sphere

Author: Michael Goldberg
Journal: Math. Comp. 23 (1969), 785-786
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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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Article copyright: © Copyright 1969 American Mathematical Society