Geometrical frustration (nonfiction): Difference between revisions
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[[File:Geometrical_frustration_icosahedron.jpg|thumb|Geometrical frustration of an icosahedron.]]In condensed matter physics, the term '''geometrical frustration''' (or simply '''frustration''') refers to a phenomenon, where atoms tend to stick to non-trivial positions or where, on a regular crystal lattice, conflicting inter-atomic forces (each one favoring rather simple, but different structures) lead to quite complex structures. | [[File:Geometrical_frustration_icosahedron.jpg|thumb|Geometrical frustration of an icosahedron.]]In condensed matter physics, the term '''geometrical frustration''' (or simply '''frustration''') refers to a phenomenon, where atoms tend to stick to non-trivial positions or where, on a regular crystal lattice, conflicting inter-atomic forces (each one favoring rather simple, but different structures) lead to quite complex structures. | ||
As a consequence of the frustration in the geometry or in the forces, a plenitude of distinct ground states may result at zero temperature, and usual thermal ordering may be suppressed at higher temperatures. | As a consequence of the frustration in the geometry or in the forces, a plenitude of distinct ground states may result at zero temperature, and usual thermal ordering may be suppressed at higher temperatures. | ||
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Frustrated magnetic systems had been studied earlier, including G. H. Wannier's study of the Ising model on a triangular lattice with nearest-neighbor spins coupled antiferromagnetically (published 1950). | Frustrated magnetic systems had been studied earlier, including G. H. Wannier's study of the Ising model on a triangular lattice with nearest-neighbor spins coupled antiferromagnetically (published 1950). | ||
== | == In the News == | ||
<gallery | <gallery> | ||
File:Klein bottles nesting.jpg|link=Klein bottle (nonfiction)|Nest of empty [[Klein bottle (nonfiction)|Klein bottles]] after an [[Extract of Radium]] lucubration. | File:Klein bottles nesting.jpg|link=Klein bottle (nonfiction)|Nest of empty [[Klein bottle (nonfiction)|Klein bottles]] after an [[Extract of Radium]] lucubration. | ||
File:David_Hedison_releasing_neurotransmitters.jpg|link=Voyage to the Bottom of the Sea (TV series) (nonfiction)| | File:David_Hedison_releasing_neurotransmitters.jpg|link=Voyage to the Bottom of the Sea (TV series) (nonfiction)|[[Voyage to the Bottom of the Sea (TV series) (nonfiction)|David Hedison]] at risk of geometrical frustration. | ||
File:Didgeridoo wax mouthpiece seal.jpg|link=Gnotilus|Wax seal on feeding tube enables [[Gnotilus]] to secrete [[geometry solvent]] directly into [[ENIAC (SETI)|ENIAC]]. | |||
</gallery> | </gallery> | ||
== Fiction cross-reference == | |||
* [[Dysprosium Titanate]] - an [[Transdimensional corporation|independent kingdom]] of [[Titan (nonfiction)|Titans (nonfiction)]] | * [[Dysprosium Titanate]] - an [[Transdimensional corporation|independent kingdom]] of [[Titan (nonfiction)|Titans (nonfiction)]] | ||
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* [[Spin ice (nonfiction)]] | * [[Spin ice (nonfiction)]] | ||
External links: | |||
* [http://wiki.karljones.com/index.php?title=Geometrical_frustration Geometrical frustration] wiki.karljones.com | * [http://wiki.karljones.com/index.php?title=Geometrical_frustration Geometrical frustration] wiki.karljones.com | ||
* [https://en.wikipedia.org/wiki/Geometrical_frustration Geometrical frustration] @ Wikipedia | * [https://en.wikipedia.org/wiki/Geometrical_frustration Geometrical frustration] @ Wikipedia | ||
[[Category:Nonfiction (nonfiction)]] | [[Category:Nonfiction (nonfiction)]] | ||
[[Category:Physics (nonfiction)]] | [[Category:Physics (nonfiction)]] | ||
Latest revision as of 21:55, 27 April 2018
In condensed matter physics, the term geometrical frustration (or simply frustration) refers to a phenomenon, where atoms tend to stick to non-trivial positions or where, on a regular crystal lattice, conflicting inter-atomic forces (each one favoring rather simple, but different structures) lead to quite complex structures.
As a consequence of the frustration in the geometry or in the forces, a plenitude of distinct ground states may result at zero temperature, and usual thermal ordering may be suppressed at higher temperatures.
Much studied examples are amorphous materials, glasses, or dilute magnets.
The term frustration, in the context of magnetic systems, has been introduced by Gerard Toulouse (1977).
Frustrated magnetic systems had been studied earlier, including G. H. Wannier's study of the Ising model on a triangular lattice with nearest-neighbor spins coupled antiferromagnetically (published 1950).
In the News
Nest of empty Klein bottles after an Extract of Radium lucubration.
David Hedison at risk of geometrical frustration.
Wax seal on feeding tube enables Gnotilus to secrete geometry solvent directly into ENIAC.
Fiction cross-reference
- Dysprosium Titanate - an independent kingdom of Titans (nonfiction)
- Gnotilus - supervillain known for:
- Amassing a fortune in spin glass (nonfiction) gems and jewels
- Slipping and falling on spin ice (nonfiction) in a public and comical manner
Nonfiction cross-reference
External links:
- Geometrical frustration wiki.karljones.com
- Geometrical frustration @ Wikipedia