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The arrangement of point charges with tetrahedral and octahedral symmetry on the surface of a sphere with minimum Coulombic potential energy

✍ Scribed by Edmundson, J. R.

Book ID: 114513683
Publisher: International Union of Crystallography
Year: 1993
Tongue: English
Weight: 758 KB
Volume: 49
Category: Article
ISSN: 0108-7673
DOI: 10.1107/s0108767393001035

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## Abstract We consider the problem of minimizing among functions __u__:ℝ^__d__^⊃Ω→ℝ^__d__^, __u__~∣∂Ω~=0, and measurable subsets __E__ of Ω. Here __f__~__h__~^+^, __f__^−^ denote quadratic potentials defined on Ω¯×{symmetric __d__×__d__ matrices}, __h__ is the minimum energy of __f__~__h__~^+^ an