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Exact statistical mechanical lattice model and classical Lindemann theory of melting of inert gas solids

Dunne, LJ; Murrell, JN; Manos, G; (2008) Exact statistical mechanical lattice model and classical Lindemann theory of melting of inert gas solids. CHEM PHYS LETT , 456 (4-6) 162 - 165. 10.1016/j.cplett.2008.03.025.

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Abstract

A modified form of Lindemann's model shows that the melting points of the heavy inert gases and other effectively spherical molecular species are proportional to the depths of their diatomic potential wells. The success of the model when compared with experiment seems to rely on the almost constant value of the ratio of the fractional volume and entropy changes during fusion. The Lindemann proposal can be incorporated into an exactly treated statistical mechanical lattice model utilising expandable clusters which reproduces the solid-liquid melting phenomenon for argon with a realistic volume change and melting line. (c) 2008 Elsevier B. V. All rights reserved.

Type: Article
Title: Exact statistical mechanical lattice model and classical Lindemann theory of melting of inert gas solids
DOI: 10.1016/j.cplett.2008.03.025
Keywords: MONTE-CARLO SIMULATIONS, MEAN-FIELD THEORY, ADSORPTION, ZEOLITES, ISOTHERMS, CRITERION, ARGON, PURE
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Chemical Engineering
URI: http://discovery.ucl.ac.uk/id/eprint/170712
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