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The Thomson problem also plays a role in the study of other physical models including multi-electron bubbles and the surface ordering of liquid metal drops confined in Paul traps. The generalized Thomson problem arises, for example, in determining arrangements of protein subunits that comprise the shells of spherical viruses. The "particles" in ...
The known solution of the Thomson problem, with one a triangular bipyramid The Thomson problem concerns the minimum energy configuration of charged particles on a sphere. A triangular bipyramid is a known solution in the case of five electrons, placing vertices of a triangular bipyramid within a sphere . [ 18 ]
An example is nickel carbonyl carbide anion Ni 10 C(CO) 2− 18, a 22 skeletal electron chemical compound with ten Ni(CO) 2 vertices and the deficiency of two carbon monoxides. [10] The Thomson problem concerning the minimum-energy configuration of charged particles on a sphere.
The pentagonal bipyramidal molecular geometry describes clusters for which this polyhedron is a pentagonal bipyramid. An example of such a cluster is iodine heptafluoride in the gas phase. [13] The Thomson problem concerns the minimum-energy configuration of charged particles on a
It is an example of a deltahedron, composite polyhedron, and Johnson solid. The edges and vertices of the triaugmented triangular prism form a maximal planar graph with 9 vertices and 21 edges, called the Fritsch graph. It was used by Rudolf and Gerda Fritsch to show that Alfred Kempe's attempted proof of the four color theorem was incorrect.
The Thomson problem deals with the lowest energy distribution of identical electric charges on the surface of a sphere. The Tammes problem is a generalisation of this, dealing with maximising the minimum distance between circles on sphere. This is analogous to distributing non-point charges on a sphere.
A college student just solved a seemingly paradoxical math problem—and the answer came from an incredibly unlikely place. Skip to main content. 24/7 Help. For premium support please call: 800 ...
One molecule with this geometry is the octafluoroxenate(VI) ion (XeF 2− 8) in the salt nitrosonium octafluoroxenate(VI); however, the molecule is distorted away from the idealized square antiprism. [2] Very few ions are cubical because such a shape would cause large repulsion between ligands; PaF 3− 8 is one of the few examples. [3]
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