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Ice-type model

In statistical mechanics, the ice-type models or six-vertex models are a family of vertex models for crystal lattices with hydrogen bonds. The first such model was introduced by Linus Pauling in 1935 to account for the residual entropy of water ice. Variants have been proposed as models of certain ferroelectric and antiferroelectric crystals.

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Description

Coordination numberGraph theoreticEulerianOrientationsRegular
11 related topics

History

William F. GiauqueCombinatoricsLieb's square ice constantT. Bill Sutherland
4 related topics

Physical justification

Spin iceGeometrical frustrationMagnetic moments
3 related topics

Specific choices of vertex energies

Electric field
1 related topics

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Overview

Description

Physical justification

Specific choices of vertex energies

History

Relation to eight-vertex model

Boundary conditions

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Map overview Semantic statistics

Ice-type model

Nodes38
Edges37
Triples24
Avg. degree1.95
Density0.052632
Components1

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Ice-type model

Top relations

related to Physical justification · 9
Ice-type model → In, Indeed, KDP, KH, Pauling, Several, Similar, The, Thus
related to Description · 7
Ice-type model → An, Eulerian, For, In, That, The, This
related to The KDP model of a ferroelectric · 4
Ice-type model → For, KDP, Slater, Such
related to The ice model · 3
Ice-type model → In, This, When
is a · 1
Ice-type model → lattice model defined on a lattice of coordination number 4

Important terminology Word statistics

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Important terminology

model ice displaystyle vertex models ice-type lattice one number solution configurations hydrogen square state exact known kdp energy given field

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Ice-type modelis alattice model defined on a lattice of coordination number 40.90text
Ice-type modelrelated to DescriptionAn0.60section
Ice-type modelrelated to DescriptionThat0.60section
Ice-type modelrelated to DescriptionThis0.60section
Ice-type modelrelated to DescriptionIn0.60section
Ice-type modelrelated to DescriptionEulerian0.60section
Ice-type modelrelated to DescriptionThe0.60section
Ice-type modelrelated to DescriptionFor0.60section
Ice-type modelrelated to Physical justificationSeveral0.60section
Ice-type modelrelated to Physical justificationKH0.60section
Ice-type modelrelated to Physical justificationKDP0.60section
Ice-type modelrelated to Physical justificationIndeed0.60section

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