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

D. J. Bottomley; Lasse Makkonen; Kari Kolari

doi:10.1016/j.susc.2008.10.023

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

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

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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 language	English
Pages (from-to)	97-101
Number of pages	5
Journal	Surface Science
Volume	603
Issue number	1
DOIs	https://doi.org/10.1016/j.susc.2008.10.023
Publication status	Published - 2009
MoE publication type	A1 Journal article-refereed

Keywords

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

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10.1016/j.susc.2008.10.023

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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{\textquoteright}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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journal = "Surface Science",

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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

SN - 0039-6028

VL - 603

SP - 97

EP - 101

JO - Surface Science

JF - Surface Science

IS - 1

ER -

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

Abstract

Keywords

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