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

33 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",
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language = "English",
volume = "603",
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journal = "Surface Science",
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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 -