International Journal of Materials Research (formerly Zeitschrift fuer Metallkunde) · 2007 · 13 citations · 16 references
Natural SciencesMaterials SciencePhysicsCondensed Matter PhysicsCrystal StructureSolid State PhysicsCrystal LatticeCrystal SymmetryCrystalline MaterialsCrystallization ProcessesCrystallographyLattice SymmetryAnnealingAtomic Force Microscopy AnalysisCoincidence Site LatticesCrystallographic Symmetry AnalysisLattice StabilityPhase Diagram ConstructionSurface Energy Density
Abstract The faceting of a cylindric tilt grain boundary (GB) in Cu and Cu-160 ppm Bi bicrystals was studied. The crystal lattices of both grains form a superlattice called a coincidence site lattice (CSL) with an inverse density of coincidence sites relating to the density of lattice sites Σ = 3 and Σ = 9. The Σ3 and Σ9 <110> tilt GBs became faceted upon annealing at 0.95 T m . The ratio of GB energy σ GB and surface energy σ sur of the specimen was measured, applying atomic force microscopy, from the profile of the GB thermal groove formed upon additional annealing. The 160 ppm Bi concentration in the Bi-containing bicrystal is between GB and bulk solidus lines in the Cu – Bi phase diagram. In this concentration region GBs contain a multilayer Bi-rich film which is supposed to be liquid-like. Wulff – Herring diagrams were constructed using the measured σ GB /σ sur values , revealing stable and metastable GB facets.
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Some Theorems on the Free Energies of Crystal Surfaces
Conyers Herring · Physical Review · 1951 · 1.6K citations
Natural Sciences, Chemistry, Physics +17