Philosophical Magazine B · 1992 · 22 citations · 21 references
Natural SciencesMaterials EngineeringMaterials ScienceCondensed Matter PhysicsCrystal StructureMaterials CharacterizationAlloysCrystal LatticeCrystal SymmetryCrystallographic AxesCrystallographyX-ray CrystallographyAtomic Model BuildingAxis IndexingCrystal Face IndexingCrystallographic CharacterizationStereographic ProjectionX-ray Diffraction Peak Indexing
Abstract The complete stereographic projection showing the prominent zone axes and Kikuchi bands of the 7.99 ± 0.07 Å periodic Al65-xCo20Cu15Six, decagonal phase, determined from tilting experiments using selected-area diffraction and convergent-beam diffraction, is presented. Important differences with the stereographic projection for the Al-Mn 12.4 Å periodic decagonal phase are emphasized. The zone axes are indexed using basis vectors that are constructed from distorted icosahedra. The appropriate distortion is determined from the stereographic projection. Unlike existing indexing schemes, only minor adjustments of the distortion are required to index successfully both the Al-Mn and the Al-Co-Cu-Si decagonal phases. A new atomic model is proposed and discussed in the light of these diffraction results.
21
Paul Black · Acta Crystallographica · 1955 · 191 citations
Structure model of the Al-Cu-Co decagonal quasicrystal
S. E. Burkov · Physical Review Letters · 1991 · 171 citations