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.
- surface tension
- capillary phenomena
- residual stresses