Simple thermodynamic derivation of the electrocapillary equations

Lasse Makkonen

doi:10.1016/j.susc.2014.12.010

Simple thermodynamic derivation of the electrocapillary equations

Lasse Makkonen

Research output: Contribution to journal › Article › Scientific › peer-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 language	English
Pages (from-to)	61-63
Journal	Surface Science
Volume	635
DOIs	https://doi.org/10.1016/j.susc.2014.12.010
Publication status	Published - 2015
MoE publication type	A1 Journal article-refereed

Keywords

thermodynamics
electrochemistry
surface tension
capillary phenomena
residual stresses

Access to Document

10.1016/j.susc.2014.12.010

https://publications.vtt.fi/julkaisut/muut/2014/OA-Simple_thermodynamic.pdf

2 Citations
1 Other journal contribution

Comment on "Simple thermodynamic derivation of the electrocapillary equations" by E.M. Gutman [Surf. Sci. 639 (2015) L5-L8 ]
Makkonen, L., 2016, In: Surface Science. 647, p. 108-109
Research output: Contribution to journal › Other journal contribution › Scientific

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.",

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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

VL - 635

SP - 61

EP - 63

JO - Surface Science

JF - Surface Science

SN - 0039-6028

ER -

Simple thermodynamic derivation of the electrocapillary equations

Abstract

Keywords

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Research output

Comment on "Simple thermodynamic derivation of the electrocapillary equations" by E.M. Gutman [Surf. Sci. 639 (2015) L5-L8 ]

Cite this