On the Thermodynamics of Thin Films. The Frumkin Equation
The Frumkin equation—a fundamental law of the thermodynamics of thin films—relates the surface tension of an interfacial region, which includes a thin film, to its disjoining pressure and thickness. The study of the original work has shown that the first derivation of this relation published by A.N....
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Veröffentlicht in: | Colloid journal of the Russian Academy of Sciences 2019-11, Vol.81 (6), p.741-746 |
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description | The Frumkin equation—a fundamental law of the thermodynamics of thin films—relates the surface tension of an interfacial region, which includes a thin film, to its disjoining pressure and thickness. The study of the original work has shown that the first derivation of this relation published by A.N. Frumkin in 1938 is thermodynamically inconsistent. In this article, the way is shown in which the Frumkin equation should be correctly derived, interpreted, and used. The following approaches are discussed: the finite-thickness layer method; the Gibbs methods with one, two, and three dividing surfaces; and the gravitational-field method. |
doi_str_mv | 10.1134/S1061933X19060152 |
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The following approaches are discussed: the finite-thickness layer method; the Gibbs methods with one, two, and three dividing surfaces; and the gravitational-field method.</description><identifier>ISSN: 1061-933X</identifier><identifier>EISSN: 1608-3067</identifier><identifier>DOI: 10.1134/S1061933X19060152</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Chemistry ; Chemistry and Materials Science ; Polymer Sciences ; Surface tension ; Surfaces and Interfaces ; Thermodynamics ; Thickness ; Thin Films</subject><ispartof>Colloid journal of the Russian Academy of Sciences, 2019-11, Vol.81 (6), p.741-746</ispartof><rights>Pleiades Publishing, Ltd. 2019</rights><rights>2019© Pleiades Publishing, Ltd. 2019</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c353t-2d3538074cacd2572c6883836c3299747a845e9f2f1f33478483e5d0cab44ae43</citedby><cites>FETCH-LOGICAL-c353t-2d3538074cacd2572c6883836c3299747a845e9f2f1f33478483e5d0cab44ae43</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S1061933X19060152$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S1061933X19060152$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Rusanov, A. I.</creatorcontrib><title>On the Thermodynamics of Thin Films. The Frumkin Equation</title><title>Colloid journal of the Russian Academy of Sciences</title><addtitle>Colloid J</addtitle><description>The Frumkin equation—a fundamental law of the thermodynamics of thin films—relates the surface tension of an interfacial region, which includes a thin film, to its disjoining pressure and thickness. The study of the original work has shown that the first derivation of this relation published by A.N. Frumkin in 1938 is thermodynamically inconsistent. In this article, the way is shown in which the Frumkin equation should be correctly derived, interpreted, and used. The following approaches are discussed: the finite-thickness layer method; the Gibbs methods with one, two, and three dividing surfaces; and the gravitational-field method.</description><subject>Chemistry</subject><subject>Chemistry and Materials Science</subject><subject>Polymer Sciences</subject><subject>Surface tension</subject><subject>Surfaces and Interfaces</subject><subject>Thermodynamics</subject><subject>Thickness</subject><subject>Thin Films</subject><issn>1061-933X</issn><issn>1608-3067</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1UM9LwzAUDqLgnP4B3gqeO1_y0jQ9yticMNjBCd5KTFPXuSZb0h7235tSwYN4-h7frwcfIfcUZpQif3ylIGiB-E4LEEAzdkEmVIBMEUR-Ge8op4N-TW5C2AOA4CAnpNjYpNuZZLszvnXV2aq20SFxdWQamyybQxtmg5osfd9-RWpx6lXXOHtLrmp1CObuB6fkbbnYzlfpevP8Mn9apxoz7FJWRZCQc610xbKcaSElShQaWVHkPFeSZ6aoWU1rRJ5LLtFkFWj1wbkyHKfkYew9enfqTejKveu9jS9LhhyZpAxkdNHRpb0LwZu6PPqmVf5cUiiHhco_C8UMGzMheu2n8b_N_4e-Aa00ZSc</recordid><startdate>20191101</startdate><enddate>20191101</enddate><creator>Rusanov, A. I.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20191101</creationdate><title>On the Thermodynamics of Thin Films. The Frumkin Equation</title><author>Rusanov, A. I.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c353t-2d3538074cacd2572c6883836c3299747a845e9f2f1f33478483e5d0cab44ae43</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Chemistry</topic><topic>Chemistry and Materials Science</topic><topic>Polymer Sciences</topic><topic>Surface tension</topic><topic>Surfaces and Interfaces</topic><topic>Thermodynamics</topic><topic>Thickness</topic><topic>Thin Films</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Rusanov, A. I.</creatorcontrib><collection>CrossRef</collection><jtitle>Colloid journal of the Russian Academy of Sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Rusanov, A. I.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the Thermodynamics of Thin Films. The Frumkin Equation</atitle><jtitle>Colloid journal of the Russian Academy of Sciences</jtitle><stitle>Colloid J</stitle><date>2019-11-01</date><risdate>2019</risdate><volume>81</volume><issue>6</issue><spage>741</spage><epage>746</epage><pages>741-746</pages><issn>1061-933X</issn><eissn>1608-3067</eissn><abstract>The Frumkin equation—a fundamental law of the thermodynamics of thin films—relates the surface tension of an interfacial region, which includes a thin film, to its disjoining pressure and thickness. The study of the original work has shown that the first derivation of this relation published by A.N. Frumkin in 1938 is thermodynamically inconsistent. In this article, the way is shown in which the Frumkin equation should be correctly derived, interpreted, and used. The following approaches are discussed: the finite-thickness layer method; the Gibbs methods with one, two, and three dividing surfaces; and the gravitational-field method.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S1061933X19060152</doi><tpages>6</tpages></addata></record> |
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subjects | Chemistry Chemistry and Materials Science Polymer Sciences Surface tension Surfaces and Interfaces Thermodynamics Thickness Thin Films |
title | On the Thermodynamics of Thin Films. The Frumkin Equation |
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