Incompatibility of the Shuttleworth equation with Hermann's mathematical structure of thermodynamics

D. J. Bottomley (Corresponding Author), Lasse Makkonen, Kari Kolari

    Research output: Contribution to journalArticleScientificpeer-review

    34 Citations (Scopus)

    Abstract

    We show that three independent derivations of the Shuttleworth equation, arguably the second most important equation in surface physics, are inconsistent with Hermann’s mathematical structure of thermodynamics [R. Hermann, Geometry, Physics and Systems, Marcel Dekker Inc., New York, USA, 1973 (Chapter 6)]. The possible implications of this result are discussed.
    Original languageEnglish
    Pages (from-to)97-101
    Number of pages5
    JournalSurface Science
    Volume603
    Issue number1
    DOIs
    Publication statusPublished - 2009
    MoE publication typeA1 Journal article-refereed

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    incompatibility
    Physics
    Thermodynamics
    thermodynamics
    physics
    derivation
    Geometry
    geometry

    Keywords

    • Thermodynamics
    • Surface energy
    • Surface stress
    • Surface tension
    • Surface thermodynamics
    • Equilibrium thermodynamics and statistical mechanics
    • Single crystal surfaces

    Cite this

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    title = "Incompatibility of the Shuttleworth equation with Hermann's mathematical structure of thermodynamics",
    abstract = "We show that three independent derivations of the Shuttleworth equation, arguably the second most important equation in surface physics, are inconsistent with Hermann’s mathematical structure of thermodynamics [R. Hermann, Geometry, Physics and Systems, Marcel Dekker Inc., New York, USA, 1973 (Chapter 6)]. The possible implications of this result are discussed.",
    keywords = "Thermodynamics, Surface energy, Surface stress, Surface tension, Surface thermodynamics, Equilibrium thermodynamics and statistical mechanics, Single crystal surfaces",
    author = "Bottomley, {D. J.} and Lasse Makkonen and Kari Kolari",
    year = "2009",
    doi = "10.1016/j.susc.2008.10.023",
    language = "English",
    volume = "603",
    pages = "97--101",
    journal = "Surface Science",
    issn = "0039-6028",
    publisher = "Elsevier",
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    Incompatibility of the Shuttleworth equation with Hermann's mathematical structure of thermodynamics. / Bottomley, D. J. (Corresponding Author); Makkonen, Lasse; Kolari, Kari.

    In: Surface Science, Vol. 603, No. 1, 2009, p. 97-101.

    Research output: Contribution to journalArticleScientificpeer-review

    TY - JOUR

    T1 - Incompatibility of the Shuttleworth equation with Hermann's mathematical structure of thermodynamics

    AU - Bottomley, D. J.

    AU - Makkonen, Lasse

    AU - Kolari, Kari

    PY - 2009

    Y1 - 2009

    N2 - We show that three independent derivations of the Shuttleworth equation, arguably the second most important equation in surface physics, are inconsistent with Hermann’s mathematical structure of thermodynamics [R. Hermann, Geometry, Physics and Systems, Marcel Dekker Inc., New York, USA, 1973 (Chapter 6)]. The possible implications of this result are discussed.

    AB - We show that three independent derivations of the Shuttleworth equation, arguably the second most important equation in surface physics, are inconsistent with Hermann’s mathematical structure of thermodynamics [R. Hermann, Geometry, Physics and Systems, Marcel Dekker Inc., New York, USA, 1973 (Chapter 6)]. The possible implications of this result are discussed.

    KW - Thermodynamics

    KW - Surface energy

    KW - Surface stress

    KW - Surface tension

    KW - Surface thermodynamics

    KW - Equilibrium thermodynamics and statistical mechanics

    KW - Single crystal surfaces

    U2 - 10.1016/j.susc.2008.10.023

    DO - 10.1016/j.susc.2008.10.023

    M3 - Article

    VL - 603

    SP - 97

    EP - 101

    JO - Surface Science

    JF - Surface Science

    SN - 0039-6028

    IS - 1

    ER -