Simple thermodynamic derivation of the electrocapillary equations

    Research output: Contribution to journalArticleScientificpeer-review

    2 Citations (Scopus)

    Abstract

    Debate on the equations for surface excess stress and charge density on a solid continues in the literature. The various points of views are supported by complex mathematical argumentations. This hampers forming a unified understanding on the issue. To alleviate the situation, a concise but rigorous thermodynamic analysis is presented here. It shows that the Shuttleworth equation and the second Gokhshtein equation are invalid. The validity of the Lippman equation and the first Gokhshtein equation depends on the independent variable of the system.
    Original languageEnglish
    Pages (from-to)61-63
    JournalSurface Science
    Volume635
    DOIs
    Publication statusPublished - 2015
    MoE publication typeA1 Journal article-refereed

    Fingerprint

    Charge density
    derivation
    Thermodynamics
    thermodynamics

    Keywords

    • thermodynamics
    • electrochemistry
    • surface tension
    • capillary phenomena
    • residual stresses

    Cite this

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    title = "Simple thermodynamic derivation of the electrocapillary equations",
    abstract = "Debate on the equations for surface excess stress and charge density on a solid continues in the literature. The various points of views are supported by complex mathematical argumentations. This hampers forming a unified understanding on the issue. To alleviate the situation, a concise but rigorous thermodynamic analysis is presented here. It shows that the Shuttleworth equation and the second Gokhshtein equation are invalid. The validity of the Lippman equation and the first Gokhshtein equation depends on the independent variable of the system.",
    keywords = "thermodynamics, electrochemistry, surface tension, capillary phenomena, residual stresses",
    author = "Lasse Makkonen",
    year = "2015",
    doi = "10.1016/j.susc.2014.12.010",
    language = "English",
    volume = "635",
    pages = "61--63",
    journal = "Surface Science",
    issn = "0039-6028",
    publisher = "Elsevier",

    }

    Simple thermodynamic derivation of the electrocapillary equations. / Makkonen, Lasse.

    In: Surface Science, Vol. 635, 2015, p. 61-63.

    Research output: Contribution to journalArticleScientificpeer-review

    TY - JOUR

    T1 - Simple thermodynamic derivation of the electrocapillary equations

    AU - Makkonen, Lasse

    PY - 2015

    Y1 - 2015

    N2 - Debate on the equations for surface excess stress and charge density on a solid continues in the literature. The various points of views are supported by complex mathematical argumentations. This hampers forming a unified understanding on the issue. To alleviate the situation, a concise but rigorous thermodynamic analysis is presented here. It shows that the Shuttleworth equation and the second Gokhshtein equation are invalid. The validity of the Lippman equation and the first Gokhshtein equation depends on the independent variable of the system.

    AB - Debate on the equations for surface excess stress and charge density on a solid continues in the literature. The various points of views are supported by complex mathematical argumentations. This hampers forming a unified understanding on the issue. To alleviate the situation, a concise but rigorous thermodynamic analysis is presented here. It shows that the Shuttleworth equation and the second Gokhshtein equation are invalid. The validity of the Lippman equation and the first Gokhshtein equation depends on the independent variable of the system.

    KW - thermodynamics

    KW - electrochemistry

    KW - surface tension

    KW - capillary phenomena

    KW - residual stresses

    U2 - 10.1016/j.susc.2014.12.010

    DO - 10.1016/j.susc.2014.12.010

    M3 - Article

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    JO - Surface Science

    JF - Surface Science

    SN - 0039-6028

    ER -