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Ice-type model
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<p>In <a href="/facts/Statistical_mechanics/6zMsNYYG">statistical mechanics</a>, the ice-type models or six-vertex models are a family of <a href="/facts/Vertex_model/FXvtjREn">vertex models</a> for <a href="/facts/Crystal_lattice/7gQKTsXk">crystal lattices</a> with hydrogen bonds. The first such model was introduced by <a href="/facts/Linus_Pauling/cBNBzs5c">Linus Pauling</a> in 1935 to account for the <a href="/facts/Residual_entropy/5MT7XRII">residual entropy</a> of water ice. Variants have been proposed as models of certain <a href="/facts/Ferroelectric/DLVYFNQT">ferroelectric</a> and <a href="/facts/Antiferroelectric/C0kYJpX3">antiferroelectric</a> crystals. </p><p>In 1967, <a href="/facts/Elliott_H._Lieb/Vr4mrmtb">Elliott H. Lieb</a> found the <a href="/facts/Exactly_solvable_model/Crgzjw6G">exact solution</a> to a two-dimensional ice model known as "square ice". The exact solution in three dimensions is only known for a special "frozen" state. </p>