Thermodynamics and molecular freedom of dimers on plane triangular lattices.

This is an extension of three previous papers dealing with dimers on rectangular lattices (one, two, and three dimensions). The technique presented in the first paper in this series continues to be fruitful for dimers on plane triangular lattices. Entropy, isothermal compressibility, constant pressure heat capacity, and molecular freedom per dimer at close packing are obtained exactly for lattices infinite in one direction and finite in the other. Observations made in the third paper of the series concerning molecular freedom per dimer at close packing on rectangular lattices are used to extrapolate our results to infinite plane triangular lattices. At close packing, the molecular freedom per dimer on an infinite plane triangular lattice is calculated to be 2.356 527... in agreement with the value obtained by Nagle. Based on our earlier findings, the value of 2.356 527... was used to obtain the analytic fit for the thermodynamic quantities in terms of the normalized number density.

Main Author: Phares, Alain J.
Other Authors: Wunderlich, Francis J.
Language: English
Published: 1986
Online Access: http://ezproxy.villanova.edu/login?url=https://digital.library.villanova.edu/Item/vudl:179457
PID vudl:179457
id vudl:179457
modeltype_str_mv vudl-system:CoreModel
vudl-system:CollectionModel
vudl-system:ResourceCollection
datastream_str_mv DC
PARENT-QUERY
PARENT-LIST-RAW
PARENT-LIST
MEMBER-QUERY
MEMBER-LIST-RAW
LEGACY-METS
LICENSE
AGENTS
PROCESS-MD
THUMBNAIL
STRUCTMAP
RELS-EXT
hierarchytype
sequence_vudl_179402_str 0000000019
has_order_str no
hierarchy_top_id vudl:171664
hierarchy_top_title Villanova Digital Collection
hierarchy_parent_id vudl:179402
hierarchy_parent_title Wunderlich Francis J
hierarchy_sequence 0000000019
hierarchy_first_parent_id_str vudl:179457
hierarchy_sequence_sort_str 0000000019
hierarchy_all_parents_str_mv vudl:171664
vudl:172968
vudl:179402
first_indexed 2014-01-11T23:15:46Z
last_indexed 2014-01-11T23:15:46Z
recordtype vudl
fullrecord <root> <url> http://digital.library.villanova.edu/files/vudl:179457/DC </url> <thumbnail> http://digital.library.villanova.edu/files/vudl:179457/THUMBNAIL </thumbnail> </root>
spelling
institution Villanova University
collection Digital Library
language English
dc_source_str_mv Journal of Math. Phys. 27, 1099 (1986)
author Phares, Alain J.
author_s Phares, Alain J.
spellingShingle Phares, Alain J.
Thermodynamics and molecular freedom of dimers on plane triangular lattices.
author-letter Phares, Alain J.
author_sort_str Phares, Alain J.
author2 Wunderlich, Francis J.
author2Str Wunderlich, Francis J.
dc_title_str Thermodynamics and molecular freedom of dimers on plane triangular lattices.
title Thermodynamics and molecular freedom of dimers on plane triangular lattices.
title_short Thermodynamics and molecular freedom of dimers on plane triangular lattices.
title_full Thermodynamics and molecular freedom of dimers on plane triangular lattices.
title_fullStr Thermodynamics and molecular freedom of dimers on plane triangular lattices.
title_full_unstemmed Thermodynamics and molecular freedom of dimers on plane triangular lattices.
collection_title_sort_str thermodynamics and molecular freedom of dimers on plane triangular lattices.
title_sort thermodynamics and molecular freedom of dimers on plane triangular lattices.
description This is an extension of three previous papers dealing with dimers on rectangular lattices (one, two, and three dimensions). The technique presented in the first paper in this series continues to be fruitful for dimers on plane triangular lattices. Entropy, isothermal compressibility, constant pressure heat capacity, and molecular freedom per dimer at close packing are obtained exactly for lattices infinite in one direction and finite in the other. Observations made in the third paper of the series concerning molecular freedom per dimer at close packing on rectangular lattices are used to extrapolate our results to infinite plane triangular lattices. At close packing, the molecular freedom per dimer on an infinite plane triangular lattice is calculated to be 2.356 527... in agreement with the value obtained by Nagle. Based on our earlier findings, the value of 2.356 527... was used to obtain the analytic fit for the thermodynamic quantities in terms of the normalized number density.
publishDate 1986
normalized_sort_date 1986-01-01T00:00:00Z
dc_date_str 1986
license_str protected
REPOSITORYNAME FgsRepos
REPOSBASEURL http://hades.library.villanova.edu:8088/fedora
fgs.state Active
fgs.label Thermodynamics and molecular freedom of dimers on plane triangular lattices.
fgs.ownerId diglibEditor
fgs.createdDate 2013-01-22T12:57:19.820Z
fgs.lastModifiedDate 2013-12-05T17:09:25.891Z
dc.title Thermodynamics and molecular freedom of dimers on plane triangular lattices.
dc.creator Phares, Alain J.
Wunderlich, Francis J.
dc.description This is an extension of three previous papers dealing with dimers on rectangular lattices (one, two, and three dimensions). The technique presented in the first paper in this series continues to be fruitful for dimers on plane triangular lattices. Entropy, isothermal compressibility, constant pressure heat capacity, and molecular freedom per dimer at close packing are obtained exactly for lattices infinite in one direction and finite in the other. Observations made in the third paper of the series concerning molecular freedom per dimer at close packing on rectangular lattices are used to extrapolate our results to infinite plane triangular lattices. At close packing, the molecular freedom per dimer on an infinite plane triangular lattice is calculated to be 2.356 527... in agreement with the value obtained by Nagle. Based on our earlier findings, the value of 2.356 527... was used to obtain the analytic fit for the thermodynamic quantities in terms of the normalized number density.
dc.date 1986
dc.identifier vudl:179457
dc.source Journal of Math. Phys. 27, 1099 (1986)
dc.language en
license.mdRef http://digital.library.villanova.edu/copyright.html
agent.name Falvey Memorial Library, Villanova University
KHL
has_thumbnail true
THUMBNAIL_contentDigest_type MD5
THUMBNAIL_contentDigest_digest 203c69e18f4f46c81e9892448d2c07cd
THUMBNAIL_contentLocation_type INTERNAL_ID
THUMBNAIL_contentLocation_ref http://hades.library.villanova.edu:8088/fedora/get/vudl:179457/THUMBNAIL/2013-01-22T12:57:21.660Z
relsext.hasModel info:fedora/vudl-system:CoreModel
info:fedora/vudl-system:CollectionModel
info:fedora/vudl-system:ResourceCollection
relsext.itemID oai:digital.library.villanova.edu:vudl:179457
relsext.isMemberOf info:fedora/vudl:179402
relsext.hasLegacyURL http://digital.library.villanova.edu/Villanova%20Digital%20Collection/Faculty%20Fulltext/Wunderlich%20Francis%20J/WunderlichFrancisJ-99d9e715-268c-485f-a158-7f41efefcb44.xml
relsext.sortOn title
relsext.sequence vudl:179402#19
_version_ 1504177482506436608
score 13.729743
subpages