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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 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
Sleeping Beauty problem: A probability problem that can be correctly answered as one half or one third depending on how the question is approached. Three Prisoners problem , also known as the Three Prisoners paradox: [ 3 ] A variation of the Monty Hall problem .
The steric number of 7 occurs in iodine heptafluoride (IF 7); the base geometry for a steric number of 7 is pentagonal bipyramidal. [10] The most common geometry for a steric number of 8 is a square antiprismatic geometry. [18]: 1165 Examples of this include the octacyanomolybdate (Mo(CN) 4− 8) and octafluorozirconate (ZrF 4− 8) anions.
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]
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 ]
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 ...
It can be described as the molecular geometry in which one atom in the center connects three other atoms in a plane, known as the trigonal planar molecular geometry. [30] In the Thomson problem, concerning the minimum-energy configuration of charged particles on a sphere, and for the Tammes problem of constructing a spherical code maximizing ...
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