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The distribution of point charges on the surface of a sphere

✍ Scribed by Edmundson, J. R.

Book ID
114513533
Publisher
International Union of Crystallography
Year
1992
Tongue
English
Weight
1001 KB
Volume
48
Category
Article
ISSN
0108-7673

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πŸ“œ SIMILAR VOLUMES

Minimum-energy configurations for charge
Minimum-energy configurations for charges on the surface of a sphere
✍ S. Webb πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 412 KB

In this paper evidence is presented that N charges allowed to distribute wtthin a sphere will reside on the surface and the mnnmum-energy states up to N=45 are given. The results vindicate classical electrostatics theory. \* (B) is not used in order to avoid confusion with Berezin's planar B.

On the distribution of lattice points on
On the distribution of lattice points on spheres and level surfaces of polynomials
✍ Akos Magyar πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 168 KB

The irregularities of distribution of lattice points on spheres and on level surfaces of polynomials are measured in terms of the discrepancy with respect to caps. It is found that the discrepancy depends on diophantine properties of the direction of the cap. If the direction of the cap is diophanti