Canadian Journal of Physics · 1976 · 42 citations · 0 references
Natural SciencesChemistryMaterials ScienceCrystal StructurePhase TransformationsSolid State PhysicsCrystal ChemistryCrystal LatticeCrystal SymmetryCrystallographyX-ray CrystallographyX-ray DiffractionCrystal Structure AnalysisCrystallographic Symmetry AnalysisOrder-disorder Phase DiagramPhase Transformation AnalysisRotational MotionTranslational MotionTwin RefinementX-ray Diffraction Analysis
The α–β transformation of berlinite (AlPO 4 ) at 586 °C was studied by X-ray diffraction. Atomic displacements were obtained from results of least-squares refinement of data taken between room temperature and 600 °C using reflections whose intensity is unaffected by Dauphiné twinning. The results suggest a rotational motion of the PO 4 and AlO 4 tetrahedra around the two-fold axis together with a translational motion along the same axis as the transition is approached from below. The vibrational amplitudes of the atoms increase with temperature and have exceeded half of the separation between Dauphiné twin-related configurations at 500 °C. The final β-phase configuration is not achieved by this twinning due to the mismatch of the two configurational potential minima in the a direction. Analysis of the intensity vs. temperature data favours a single minimum model for the β phase configuration over an order–disorder model. The β-AlPO 4 structure consists of alternate PO 4 and AlO 4 tetrahedra sharing all four corners with P—O and Al—O distances 1.505 and 1.694 Å respectively. The results are correlated with those obtained from temperature dependent studies by Raman scattering and by EPR on Fe 3+ -doped AlPO 4 .