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Related Concept Videos

Crystal Field Theory - Tetrahedral and Square Planar Complexes02:46

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Tetrahedral Complexes
Crystal field theory (CFT) is applicable to molecules in geometries other than octahedral. In octahedral complexes, the lobes of the dx2−y2 and dz2 orbitals point directly at the ligands. For tetrahedral complexes, the d orbitals remain in place, but with only four ligands located between the axes. None of the orbitals points directly at the tetrahedral ligands. However, the dx2−y2 and dz2 orbitals (along the Cartesian axes) overlap with the ligands less than...
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A perfect crystal, in theory, has a uniform structure with the same unit cell and lattice points throughout. However, any deviation from this periodic arrangement is known as an imperfection or defect. These defects can be categorized into three types: point, line, and plane defects.Point defects occur when there is a deviation from the ideal due to missing atoms, displaced atoms, or additional atoms. These imperfections might occur due to imperfect packing during crystallization or because of...
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Unlike ionic or small covalent molecules, polymers do not form crystalline solids due to the diffusion limitations of their long-chain structures. However, polymers contain microscopic crystalline domains separated by amorphous domains.
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Updated: Apr 21, 2026

Spark Plasma Sintering Apparatus Used for the Formation of Strontium Titanate Bicrystals
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Titania single crystals with a curved surface.

Shuang Yang1, Bing Xing Yang2, Long Wu1

  • 1Key Laboratory for Ultrafine Materials of Ministry of Education, School of Materials Science and Engineering, East China University of Science and Technology, 130 Meilong Road, Shanghai 200237, China.

Nature Communications
|November 7, 2014
PubMed
Summary

Researchers discovered a new type of titanium dioxide (TiO₂) crystal surface with a unique truncated biconic shape. This finding challenges traditional crystal growth principles and opens new avenues for materials science research.

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Area of Science:

  • Materials Science
  • Crystallography
  • Surface Chemistry

Background:

  • Crystallization is a fundamental phenomenon studied for centuries, typically resulting in polyhedral shapes with flat facets due to self-confinement.
  • Biological organisms often exhibit complex single crystalline structures with curved surfaces, formed through organic-mineral interactions.

Purpose of the Study:

  • To investigate a novel class of crystal surface in titanium dioxide (TiO₂).
  • To characterize the unique morphology and growth principles of these TiO₂ crystals.

Main Methods:

  • Experimental synthesis and characterization of TiO₂ single crystals.
  • Analysis of crystal surface morphology and facet indexing.

Main Results:

  • Discovery of TiO₂ single crystals with a truncated biconic morphology.
  • Observation of quasi-continuous high-index microfacets forming the curved crystal surface.
  • Identification of near-identical growth rates across a continuous range of Miller indices.

Conclusions:

  • A new class of crystal surface with continuous curvature and high-index microfacets has been demonstrated in TiO₂.
  • This discovery challenges conventional crystal growth models and suggests new possibilities for controlling crystal morphology.
  • The findings may inspire novel approaches in crystal engineering and materials design.