Generalized Gibbs-Thomson equation for nanoparticles at grain boundaries
Source abstract
Abstract
Abstract A general Gibbs-Thomson equation is derived from the complete free energy description of precipitates at grain boundaries, taking into account the excess free energy of the grain boundary – phase boundary junction. In this model, the equilibrium shape of particles shows a strong dependency on the particle size, which gives rise to a deviation from the classical theory of precipitation. The influence of the line tension of triple junctions on the nucleation energy barrier is discussed.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: nanoparticles nucleation surface interactions · Material Dynamics and Properties · Theoretical and Computational Physics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (23)
Show source-provided references
1. On the equilibrium of heterogeneous substances
2. Measurement of grain boundary triple line energy in copper10.1016/j.actamat.2010.06.039 ↗
3. Triple junction effects in solids10.1016/j.actamat.2011.02.024 ↗
4. Embedded-atom study of low-energy equilibrium triple junction structures and energies10.1016/j.actamat.2016.02.058 ↗
5. Excess energy of grain-boundary trijunctions: an atomistic simulation study10.1016/S1359-6454(99)00120-2 ↗
6. Triple junction mobility: a molecular dynamics study10.1023/A:1008781611991 ↗
7. Molecular dynamics simulation of triple junction migration10.1016/S1359-6454(01)00446-3 ↗
8. Shvindlerman · 1968
9. Generalization of the classical theory of capillarity10.1063/1.433866 ↗
10. Line tension in three-phase equilibrium systems10.1021/la00081a001 ↗
11. Measurement of line tension on droplets in the submicrometer range10.1021/la402932y ↗
12. Nonlinear dependence of the contact angle of nanodroplets on contact line curvature10.1103/PhysRevLett.91.186101 ↗
13. Grain boundary and triple junction enthalpies in nanocrystalline metals10.1103/PhysRevB.63.134101 ↗
14. Accurate determination of the vapor-liquid-solid contact line tension and the viability of young equation
15. Effect of contact line curvature on solid-fluid surface tensions without line tension10.1103/PhysRevLett.100.256103 ↗
16. Sur la surface de revolution dont la courbure moyenne est constante
17. Phase-field modelling of microstructure evolution in solids: perspectives and challenges10.1016/j.cossms.2011.01.001 ↗
18. An analytical study of the static state of multi-junctions in amulti-phase field model10.1016/j.physd.2010.09.014 ↗
19. An advanced level set approach to grain growth - accounting for grain boundary anisotropy and finite triple junction mobility10.1016/j.actamat.2015.07.040 ↗
20. Heterogeneous nucleation of/on nano particles: a density functional study using the phase-field crystal model10.1039/c3cs60225g ↗
21. Modeling structural transformations in binary alloys with phase field crystals10.1103/PhysRevB.84.064104 ↗
22. Phase transformations in Au-Fe particles and thin films: size effects at themicro- and nano-scales10.1007/s11837-016-1847-8 ↗
23. The alpha-gamma transformation in Fe and Fe-Au thin films, micro- and nanoparticles – an in situ study10.1016/j.actamat.2015.07.051 ↗