Nucleation work, surface tension, and Gibbs–Tolman length for nucleus of any size
In the framework of the Gibbs approach to nucleation thermodynamics, expressions are derived for the nucleation work, nucleus size, surface tension, and Gibbs–Tolman length in homogeneous single-component nucleation at a fixed temperature. These expressions are in terms of the experimentally control...
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Veröffentlicht in: | The Journal of chemical physics 2020-09, Vol.153 (12), p.124509-124509 |
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description | In the framework of the Gibbs approach to nucleation thermodynamics, expressions are derived for the nucleation work, nucleus size, surface tension, and Gibbs–Tolman length in homogeneous single-component nucleation at a fixed temperature. These expressions are in terms of the experimentally controlled overpressure of the nucleating phase and are valid for the entire overpressure range, i.e., for nucleus of any size. Analysis of available data for bubble and droplet nucleation in Lennard-Jones fluid shows that the theory describes well the data by means of a single free parameter, the Gibbs–Tolman length of the planar liquid/vapor interface. It is found that this length is about one-tenth of the Lennard-Jones molecular-diameter parameter and that it is positive for the bubble nucleus and negative for the droplet nucleus. In a sufficiently narrow temperature range, the nucleation work, nucleus radius, scaled surface tension, and Gibbs–Tolman length are apparently universal functions of scaled overpressure. |
doi_str_mv | 10.1063/5.0021337 |
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These expressions are in terms of the experimentally controlled overpressure of the nucleating phase and are valid for the entire overpressure range, i.e., for nucleus of any size. Analysis of available data for bubble and droplet nucleation in Lennard-Jones fluid shows that the theory describes well the data by means of a single free parameter, the Gibbs–Tolman length of the planar liquid/vapor interface. It is found that this length is about one-tenth of the Lennard-Jones molecular-diameter parameter and that it is positive for the bubble nucleus and negative for the droplet nucleus. In a sufficiently narrow temperature range, the nucleation work, nucleus radius, scaled surface tension, and Gibbs–Tolman length are apparently universal functions of scaled overpressure.</description><identifier>ISSN: 0021-9606</identifier><identifier>EISSN: 1089-7690</identifier><identifier>DOI: 10.1063/5.0021337</identifier><identifier>CODEN: JCPSA6</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Diameters ; Droplets ; Liquid-vapor interfaces ; Nucleation ; Overpressure ; Parameters ; Surface tension</subject><ispartof>The Journal of chemical physics, 2020-09, Vol.153 (12), p.124509-124509</ispartof><rights>Author(s)</rights><rights>2020 Author(s). 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These expressions are in terms of the experimentally controlled overpressure of the nucleating phase and are valid for the entire overpressure range, i.e., for nucleus of any size. Analysis of available data for bubble and droplet nucleation in Lennard-Jones fluid shows that the theory describes well the data by means of a single free parameter, the Gibbs–Tolman length of the planar liquid/vapor interface. It is found that this length is about one-tenth of the Lennard-Jones molecular-diameter parameter and that it is positive for the bubble nucleus and negative for the droplet nucleus. In a sufficiently narrow temperature range, the nucleation work, nucleus radius, scaled surface tension, and Gibbs–Tolman length are apparently universal functions of scaled overpressure.</description><subject>Diameters</subject><subject>Droplets</subject><subject>Liquid-vapor interfaces</subject><subject>Nucleation</subject><subject>Overpressure</subject><subject>Parameters</subject><subject>Surface tension</subject><issn>0021-9606</issn><issn>1089-7690</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp90M9Kw0AQBvBFFKzVg2-w4EWl0dn_yVGKVqHowXoOm81GU9Nd3U2QevIdfEOfxMR68uBp4OM3w_AhdEjgjIBk5-IMgBLG1BYaEUizRMkMttFoSJNMgtxFezEuAYAoykfo_rYzjdVt7R1-8-F5gmMXKm0sbq2LfTrB2pV4VhdF_Pr4XPhmpR1urHtsn3DlA3bDfhexr3q4xrF-t_top9JNtAe_c4weri4X0-tkfje7mV7ME8OoaBORlRIUK6xSpv9Y0lKXBS1VVqWGpKagMis5pNYUFrjgkGWaF5ZyxXiaCkbZGB1v7r4E_9rZ2OarOhrbNNpZ38Wccp5yEFTInh79oUvfBdd_NyipJFVkUCcbZYKPMdgqfwn1Sod1TiAf6s1F_ltvb083Npq6_envH_wNm0d4xA</recordid><startdate>20200928</startdate><enddate>20200928</enddate><creator>Kashchiev, Dimo</creator><general>American Institute of Physics</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope><scope>7X8</scope><orcidid>https://orcid.org/0000-0003-3952-3004</orcidid></search><sort><creationdate>20200928</creationdate><title>Nucleation work, surface tension, and Gibbs–Tolman length for nucleus of any size</title><author>Kashchiev, Dimo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c325t-59d6073be77c13362dadb2d79f8c18cb269d408ecbe0454099a4be24734885323</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Diameters</topic><topic>Droplets</topic><topic>Liquid-vapor interfaces</topic><topic>Nucleation</topic><topic>Overpressure</topic><topic>Parameters</topic><topic>Surface tension</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kashchiev, Dimo</creatorcontrib><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>MEDLINE - Academic</collection><jtitle>The Journal of chemical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kashchiev, Dimo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nucleation work, surface tension, and Gibbs–Tolman length for nucleus of any size</atitle><jtitle>The Journal of chemical physics</jtitle><date>2020-09-28</date><risdate>2020</risdate><volume>153</volume><issue>12</issue><spage>124509</spage><epage>124509</epage><pages>124509-124509</pages><issn>0021-9606</issn><eissn>1089-7690</eissn><coden>JCPSA6</coden><abstract>In the framework of the Gibbs approach to nucleation thermodynamics, expressions are derived for the nucleation work, nucleus size, surface tension, and Gibbs–Tolman length in homogeneous single-component nucleation at a fixed temperature. These expressions are in terms of the experimentally controlled overpressure of the nucleating phase and are valid for the entire overpressure range, i.e., for nucleus of any size. Analysis of available data for bubble and droplet nucleation in Lennard-Jones fluid shows that the theory describes well the data by means of a single free parameter, the Gibbs–Tolman length of the planar liquid/vapor interface. It is found that this length is about one-tenth of the Lennard-Jones molecular-diameter parameter and that it is positive for the bubble nucleus and negative for the droplet nucleus. In a sufficiently narrow temperature range, the nucleation work, nucleus radius, scaled surface tension, and Gibbs–Tolman length are apparently universal functions of scaled overpressure.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0021337</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0003-3952-3004</orcidid></addata></record> |
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subjects | Diameters Droplets Liquid-vapor interfaces Nucleation Overpressure Parameters Surface tension |
title | Nucleation work, surface tension, and Gibbs–Tolman length for nucleus of any size |
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