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^*
, Lasse Makkonen
, Kari Kolari

^*Corresponding author for this work

Origin Ltd

Research output: Contribution to journal › Article › Scientific › peer-review

42 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 language	English
Pages (from-to)	97-101
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

Access to Document

10.1016/j.susc.2008.10.023

Reply to: "Comment by J.C. Eriksson, A.I. Rusanov on: Incompatibility of the Shuttleworth equation with Hermann's mathematical structure of thermodynamics" [Surf.Sci. 603(2009) 97]
Bottomley, D. J., Makkonen, L. & Kolari, K., 2009, In: Surface Science. 603, 15, p. 2350-2351
Research output: Contribution to journal › Article › Scientific › peer-review
8 Link opens in a new tab Citations (Scopus)
Reply to: "Comment by H. Ibach on Incompatibility of the Shuttleworth equation with Hermann's mathematical structure of thermodynamics" [Surf.Sci. 603(2009) 97]
Bottomley, D. J., Makkonen, L. & Kolari, K., 2009, In: Surface Science. 603, 15, p. 2356-2357
Research output: Contribution to journal › Article › Scientific › peer-review
9 Link opens in a new tab Citations (Scopus)
Reply to: "Comment by V.A. Marichev on: Incompatibility of the Shuttleworth equation with Hermann's mathematical structure of thermodynamics" [Surf.Sci. 603(2009)97]
Bottomley, D. J., Makkonen, L. & Kolari, K., 2009, In: Surface Science. 603, 15, 2347.
Research output: Contribution to journal › Article › Scientific › peer-review
12 Link opens in a new tab Citations (Scopus)

Cite this

@article{76b794d29e1f4742931e695c1ac4078b,

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 = "D.J. Bottomley 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",

number = "1",

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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

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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Research output

Reply to: "Comment by J.C. Eriksson, A.I. Rusanov on: Incompatibility of the Shuttleworth equation with Hermann's mathematical structure of thermodynamics" [Surf.Sci. 603(2009) 97]

Reply to: "Comment by H. Ibach on Incompatibility of the Shuttleworth equation with Hermann's mathematical structure of thermodynamics" [Surf.Sci. 603(2009) 97]

Reply to: "Comment by V.A. Marichev on: Incompatibility of the Shuttleworth equation with Hermann's mathematical structure of thermodynamics" [Surf.Sci. 603(2009)97]

Cite this