Simple thermodynamic derivation of the electrocapillary equations

Research output: Contribution to journalArticleScientificpeer-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 languageEnglish
Pages (from-to)61-63
JournalSurface Science
Volume635
DOIs
Publication statusPublished - 2015
MoE publication typeA1 Journal article-refereed

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Charge density
derivation
Thermodynamics
thermodynamics

Keywords

  • thermodynamics
  • electrochemistry
  • surface tension
  • capillary phenomena
  • residual stresses

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.",
keywords = "thermodynamics, electrochemistry, surface tension, capillary phenomena, residual stresses",
author = "Lasse Makkonen",
year = "2015",
doi = "10.1016/j.susc.2014.12.010",
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pages = "61--63",
journal = "Surface Science",
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Simple thermodynamic derivation of the electrocapillary equations. / Makkonen, Lasse.

In: Surface Science, Vol. 635, 2015, p. 61-63.

Research output: Contribution to journalArticleScientificpeer-review

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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

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JF - Surface Science

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