The Young–Laplace equation for a solid–liquid interface
The application of the Young–Laplace equation to a solid–liquid interface is considered. Computer simulations show that the pressure inside a solid cluster of hard spheres is smaller than the external pressure of the liquid (both for small and large clusters). This would suggest a negative value for...
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Veröffentlicht in: | The Journal of chemical physics 2020-11, Vol.153 (19), p.191102-191102 |
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container_title | The Journal of chemical physics |
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creator | Montero de Hijes, P. Shi, K. Noya, E. G. Santiso, E. E. Gubbins, K. E. Sanz, E. Vega, C. |
description | The application of the Young–Laplace equation to a solid–liquid interface is considered. Computer simulations show that the pressure inside a solid cluster of hard spheres is smaller than the external pressure of the liquid (both for small and large clusters). This would suggest a negative value for the interfacial free energy. We show that in a Gibbsian description of the thermodynamics of a curved solid–liquid interface in equilibrium, the choice of the thermodynamic (rather than mechanical) pressure is required, as suggested by Tolman for the liquid–gas scenario. With this definition, the interfacial free energy is positive, and the values obtained are in excellent agreement with previous results from nucleation studies. Although, for a curved fluid–fluid interface, there is no distinction between mechanical and thermal pressures (for a sufficiently large inner phase), in the solid–liquid interface, they do not coincide, as hypothesized by Gibbs. |
doi_str_mv | 10.1063/5.0032602 |
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With this definition, the interfacial free energy is positive, and the values obtained are in excellent agreement with previous results from nucleation studies. Although, for a curved fluid–fluid interface, there is no distinction between mechanical and thermal pressures (for a sufficiently large inner phase), in the solid–liquid interface, they do not coincide, as hypothesized by Gibbs.</description><subject>External pressure</subject><subject>Free energy</subject><subject>Laplace equation</subject><subject>Liquid-solid interfaces</subject><subject>Nucleation</subject><subject>Physics</subject><subject>Thermodynamic equilibrium</subject><issn>0021-9606</issn><issn>1089-7690</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp90MtKxDAUBuAgCo6jC9-g4EaFjidpcymuZPAGA27GhauQpolm6DSdpBXc-Q6-oU9ixxEFBVdncb7zc_gROsQwwcCyMzoByAgDsoVGGESRclbANhoBEJwWDNgu2otxAQCYk3yEzudPJnnwffP4_vo2U22ttEnMqled801ifUhUEn3tqmFdu1XvqsQ1nQl2cPtox6o6moOvOUb3V5fz6U06u7u-nV7MUp0VtEsFB1NSrbktuMmJ4oRQXpYi17qiRpScV0aLAlMolTGWUMpyW-VFybDFRJTZGB1vctvgV72JnVy6qE1dq8b4PkqSswzDcJUN9OgXXfg-NMN3a0VIzjmIQZ1slA4-xmCsbINbqvAiMch1jZLKrxoHe7qxUbvus5Vv_OzDD5RtZf_Df5M_AHm1gPs</recordid><startdate>20201121</startdate><enddate>20201121</enddate><creator>Montero de Hijes, P.</creator><creator>Shi, K.</creator><creator>Noya, E. 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We show that in a Gibbsian description of the thermodynamics of a curved solid–liquid interface in equilibrium, the choice of the thermodynamic (rather than mechanical) pressure is required, as suggested by Tolman for the liquid–gas scenario. With this definition, the interfacial free energy is positive, and the values obtained are in excellent agreement with previous results from nucleation studies. 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subjects | External pressure Free energy Laplace equation Liquid-solid interfaces Nucleation Physics Thermodynamic equilibrium |
title | The Young–Laplace equation for a solid–liquid interface |
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