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Lattice models of hydrogen-bonded solvents. II
Authors:D B Abraham  O J Heilmann
Institution:(1) Chemistry Laboratory III, H.C. Orsted Institute, Copenhagen, Denmark;(2) Present address: Department of Theoretical Chemistry, Oxford, UK
Abstract:We consider a lattice model of a binary mixture in which each molecule of one component can form zero, one, or two bonds to molecules of the same species on neighboring vertices of the square lattice. We allow the energy of molecules with two bonds to depend on the valence angle, thus generalizing the first paper in this series. If ldquostraightrdquo polymeric configurations are favored over all others, then a phase transition occurs for low enough temperature. On the other hand, if bent configurations are favored, there is no phase transition. Analogous results are obtained for the hexagonal lattice, where we distinguish energetically betweencis andtrans isomerism of four bonded molecules.Supported by the Danish Science Foundation under grant 511-3635.
Keywords:Polymer  hydrogen bond  phase transition  liquid crystals  zeros of partition function  lattice model  ferroelectric model  16-vertex problem
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