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Introduction to twinning.

Simon Parsons1

  • 1School of Chemistry, The University of Edinburgh, King's Buildings, West Mains Road, Edinburgh EH9 3JJ, Scotland. s.parsons@ed.ac.uk

Acta Crystallographica. Section D, Biological Crystallography
|October 24, 2003
PubMed
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Twinned crystals are aggregates of domains joined by symmetry operations. Their diffraction patterns are superpositions, potentially causing overlapping reflections that classify them into two main categories based on affected reflection zones.

Area of Science:

  • Crystallography
  • Materials Science
  • Solid-State Physics

Background:

  • Twinned crystals are crystalline solids composed of multiple domains.
  • These domains are oriented relative to each other by a specific symmetry operation known as the twin law.
  • Understanding crystal twinning is crucial for interpreting diffraction data and characterizing crystalline materials.

Purpose of the Study:

  • To elucidate the nature of diffraction patterns generated by twinned crystals.
  • To categorize twinned crystals based on the impact of domain superposition on diffraction data.
  • To provide a framework for analyzing twinned crystal structures using diffraction methods.

Main Methods:

  • Analysis of diffraction principles for twinned crystalline aggregates.

Related Experiment Videos

  • Theoretical modeling of diffraction pattern superposition from multiple crystal domains.
  • Classification of twinned crystals based on the extent of reflection overlap.

    • Main Results:

    • Diffraction patterns from twinned crystals are superpositions of individual domain patterns.
    • The observed diffraction pattern is weighted by the proportion of each domain.
    • Twinned crystals are broadly categorized into two types based on whether all or only certain zones of reflections are affected by overlap.

    Conclusions:

    • The superposition of diffraction patterns in twinned crystals leads to characteristic overlaps.
    • Crystal lattice symmetry higher than the crystal structure symmetry results in overlap of all reflections.
    • Twin laws corresponding to higher symmetry supercells often lead to overlap in specific reflection zones.