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Thomson problem

The objective of the Thomson problem is to determine the minimum electrostatic potential energy configuration of N electrons constrained to the surface of a unit sphere that repel each other with a force given by Coulomb's law. The physicist J. J. Thomson posed the problem in 1904 after proposing an atomic model, later called the plum pudding model…

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Overview

Mathematical statement

Known exact solutions

Generalizations

Solution algorithms

Relations to other scientific problems

Configurations of smallest known energy

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Map overview Semantic statistics

Thomson problem

Nodes52
Edges51
Triples122
Avg. degree1.96
Density0.038462
Components1

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Thomson problem

Top relations

related to Notes · 98
Thomson problem → Abhinav, Advances, Alan, Altschuler, Amer, An, Archived, Bibcode, Bowick, Cacciuto, Cecka, Chemical Physics, Cheviakov, Cite, CiteSeerX, Cohn, Commun, Comp, Complex Systems, Comput
related to Charge-centered distribution · 6
Thomson problem → For, Nth, That, Thom, Thomson, Thus
related to Continuous spherical shell charge · 5
Thomson problem → For, Here, Note, The, Thomson
related to Relations to other scientific problems · 4
Thomson problem → The Thomson, Thomson, Thomson's, Though
related to Example · 2
Thomson problem → The, Thomson
related to Randomly distributed point charges · 2
Thomson problem → The, Thomson
is a · 1
Thomson problem → natural consequence of J

Important terminology Word statistics

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Important terminology

problem energy thomson sphere electrons doi 10 displaystyle configurations points bibcode configuration solution charge s2cid spherical shell math given charges

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Thomson problemis anatural consequence of J0.90text
drugsinstance ofproposed for encapsulation of active ingredients0.80text
nutrients or living cellsinstance ofproposed for encapsulation of active ingredients0.80text
fullerene patterns of carbon atomsinstance ofproposed for encapsulation of active ingredients0.80text
and VSEPR theoryinstance ofproposed for encapsulation of active ingredients0.80text
Thomson problemrelated to Charge-centered distributionFor0.60section
Thomson problemrelated to Charge-centered distributionNth0.60section
Thomson problemrelated to Charge-centered distributionThomson0.60section
Thomson problemrelated to Charge-centered distributionThat0.60section
Thomson problemrelated to Charge-centered distributionThus0.60section
Thomson problemrelated to Charge-centered distributionThom0.60section
Thomson problemrelated to Continuous spherical shell chargeThe0.60section

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