A New Perspective on Geometric Thermodynamic Models
To estimate the thermodynamic properties of a multi-component system using traditional geometric models, lack of a physical meaning generates many puzzles during choosing a concrete method. In this paper, we introduced a perspective in terms of the molar quantity of the components in the sub-binary...
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Veröffentlicht in: | Journal of phase equilibria and diffusion 2019-10, Vol.40 (5), p.715-724 |
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creator | Ju, Tianhua Ding, Xueyong Chen, Weiliang Yan, Xinlin Dong, Yue |
description | To estimate the thermodynamic properties of a multi-component system using traditional geometric models, lack of a physical meaning generates many puzzles during choosing a concrete method. In this paper, we introduced a perspective in terms of the molar quantity of the components in the sub-binary of a ternary system affected by the third component and deduced a new model to unify all other traditional geometric models (e.g. Kohler, Muggianu, Toop-Kohler, etc.) into one model. The effects could be represented by so-called contribution coefficients, whose values only depend on the degree of identity between the thermodynamic properties of the third component and those of the selected components in the sub-binary, and which gives the physical meaning for the present model. |
doi_str_mv | 10.1007/s11669-019-00757-5 |
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In this paper, we introduced a perspective in terms of the molar quantity of the components in the sub-binary of a ternary system affected by the third component and deduced a new model to unify all other traditional geometric models (e.g. Kohler, Muggianu, Toop-Kohler, etc.) into one model. The effects could be represented by so-called contribution coefficients, whose values only depend on the degree of identity between the thermodynamic properties of the third component and those of the selected components in the sub-binary, and which gives the physical meaning for the present model.</description><identifier>ISSN: 1547-7037</identifier><identifier>EISSN: 1863-7345</identifier><identifier>EISSN: 1934-7243</identifier><identifier>DOI: 10.1007/s11669-019-00757-5</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Ceramics ; Composites ; Crystallography and Scattering Methods ; Engineering Thermodynamics ; Glass ; Heat and Mass Transfer ; Mathematical models ; Metallic Materials ; Natural Materials ; Physics ; Physics and Astronomy ; Ternary systems ; Thermodynamic models ; Thermodynamic properties ; Thermodynamics</subject><ispartof>Journal of phase equilibria and diffusion, 2019-10, Vol.40 (5), p.715-724</ispartof><rights>ASM International 2019</rights><rights>Journal of Phase Equilibria and Diffusion is a copyright of Springer, (2019). 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The effects could be represented by so-called contribution coefficients, whose values only depend on the degree of identity between the thermodynamic properties of the third component and those of the selected components in the sub-binary, and which gives the physical meaning for the present model.</description><subject>Ceramics</subject><subject>Composites</subject><subject>Crystallography and Scattering Methods</subject><subject>Engineering Thermodynamics</subject><subject>Glass</subject><subject>Heat and Mass Transfer</subject><subject>Mathematical models</subject><subject>Metallic Materials</subject><subject>Natural Materials</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Ternary systems</subject><subject>Thermodynamic models</subject><subject>Thermodynamic properties</subject><subject>Thermodynamics</subject><issn>1547-7037</issn><issn>1863-7345</issn><issn>1934-7243</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNqFkE1LAzEQhoMoWKt_wNOC5-hMskmaYyl-Qf041HOI2Vlt6e7WZKv03xtdwZsehpmB931neBg7RThHAHORELW2HDAXGGW42mMjnGjJjSzVfp5VabgBaQ7ZUUorAGHNRI-YnBb39FE8UkwbCv3ynYquLa6pa6iPy1AsXik2XbVrfZO3u66idTpmB7VfJzr56WP2dHW5mN3w-cP17Ww656FE2XMLQnghtPUTYQWBL2sTLBFKi_mruqqea9TCaBEAIKBGGaCy3iorPBojx-xsyN3E7m1LqXerbhvbfNIJCVqCtVj-o4JSoVY2q8SgCrFLKVLtNnHZ-LhzCO4LoRsQuozQfSN0KpvkYEpZ3L5Q_I3-w_UJdLBwmA</recordid><startdate>20191001</startdate><enddate>20191001</enddate><creator>Ju, Tianhua</creator><creator>Ding, Xueyong</creator><creator>Chen, Weiliang</creator><creator>Yan, Xinlin</creator><creator>Dong, Yue</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope><scope>L7M</scope><scope>U9A</scope><orcidid>https://orcid.org/0000-0002-2239-048X</orcidid></search><sort><creationdate>20191001</creationdate><title>A New Perspective on Geometric Thermodynamic Models</title><author>Ju, Tianhua ; Ding, Xueyong ; Chen, Weiliang ; Yan, Xinlin ; Dong, Yue</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c413t-9022a2269a8292e0a4f7c9ee1391734fddbf162762c000c1613c0d9a9592a1773</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Ceramics</topic><topic>Composites</topic><topic>Crystallography and Scattering Methods</topic><topic>Engineering Thermodynamics</topic><topic>Glass</topic><topic>Heat and Mass Transfer</topic><topic>Mathematical models</topic><topic>Metallic Materials</topic><topic>Natural Materials</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Ternary systems</topic><topic>Thermodynamic models</topic><topic>Thermodynamic properties</topic><topic>Thermodynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ju, Tianhua</creatorcontrib><creatorcontrib>Ding, Xueyong</creatorcontrib><creatorcontrib>Chen, Weiliang</creatorcontrib><creatorcontrib>Yan, Xinlin</creatorcontrib><creatorcontrib>Dong, Yue</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Journal of phase equilibria and diffusion</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ju, Tianhua</au><au>Ding, Xueyong</au><au>Chen, Weiliang</au><au>Yan, Xinlin</au><au>Dong, Yue</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A New Perspective on Geometric Thermodynamic Models</atitle><jtitle>Journal of phase equilibria and diffusion</jtitle><stitle>J. Phase Equilib. Diffus</stitle><date>2019-10-01</date><risdate>2019</risdate><volume>40</volume><issue>5</issue><spage>715</spage><epage>724</epage><pages>715-724</pages><issn>1547-7037</issn><eissn>1863-7345</eissn><eissn>1934-7243</eissn><abstract>To estimate the thermodynamic properties of a multi-component system using traditional geometric models, lack of a physical meaning generates many puzzles during choosing a concrete method. In this paper, we introduced a perspective in terms of the molar quantity of the components in the sub-binary of a ternary system affected by the third component and deduced a new model to unify all other traditional geometric models (e.g. Kohler, Muggianu, Toop-Kohler, etc.) into one model. 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subjects | Ceramics Composites Crystallography and Scattering Methods Engineering Thermodynamics Glass Heat and Mass Transfer Mathematical models Metallic Materials Natural Materials Physics Physics and Astronomy Ternary systems Thermodynamic models Thermodynamic properties Thermodynamics |
title | A New Perspective on Geometric Thermodynamic Models |
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