Alternative to the Shuttleworth formulation of solid surface stress
- 3 April 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 63 (16), 165412
- https://doi.org/10.1103/physrevb.63.165412
Abstract
We examine two derivations of the Shuttleworth equation (which is a relation between surface stress surface tension γ, and surface strain), and identify the flaws we perceive. Rectifying the perceived flaws leads not to the Shuttleworth equation but to equivalence. We conclude that surface stress is merely the generalization of the concept of surface tension to an elastically anisotropic system; the surface free-energy density is one-half of the trace of the surface stress tensor, to lowest order. In our opinion, our conclusions lead to a more coherent and elegant form of surface thermodynamics which should prove useful in controlling and in understanding nanometer-scale fabrication.
Keywords
This publication has 14 references indexed in Scilit:
- Surface energy, stress, capillary-elastic pressure and chemical equilibrium constant in nanoparticlesSurface Science, 2000
- Two-dimensional ordering of self-assembled InxGa1−xAs quantum dots grown on GaAs(311)B surfacesJournal of Crystal Growth, 1999
- Self-organization of Ge islands on high-index Si substratesPhysical Review B, 1999
- Physics of Crystal GrowthPublished by Cambridge University Press (CUP) ,1998
- Reflection high-energy electron diffraction/scanning tunneling microscopy study of InAs growth on the three low index orientations of GaAs: Two-dimensional versus three-dimensional growth and strain relaxationJournal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures, 1998
- Atomic structure of faceted planes of three-dimensional InAs islands on GaAs(001) studied by scanning tunneling microscopeApplied Physics Letters, 1998
- Determination of the shape of self-organized InAs/GaAs quantum dots by reflection high energy electron diffractionApplied Physics Letters, 1998
- Semiconductor quantum-wire structures directly grown on high-index surfacesPhysical Review B, 1992
- Some Theorems on the Free Energies of Crystal SurfacesPhysical Review B, 1951
- The Surface Tension of SolidsProceedings of the Physical Society. Section A, 1950