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Plesiotwins versus diperiodic twins.

Massimo Nespolo1

  • 1Université de Lorraine, CNRS, CMR2, Nancy, France.

Acta Crystallographica. Section A, Foundations and Advances
|July 7, 2018
PubMed
Summary
This summary is machine-generated.

Plesiotwins and diperiodic twins exhibit low lattice restoration. Plesiotwins involve non-crystallographic rotation, while diperiodic twins have distant lattice planes, explaining the rarity of confirmed diperiodic twin examples.

Keywords:
coincidence site latticediperiodic twinshemitropyplesiotwinstwinning

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Area of Science:

  • Crystallography
  • Materials Science
  • Solid State Physics

Background:

  • Twinning in crystals is characterized by specific lattice orientations and composition planes.
  • Lattice restoration describes the degree to which the crystal lattice aligns across the twin boundary.
  • Coincidence Site Lattice (CSL) is a key parameter in understanding twin boundary structures.

Purpose of the Study:

  • To differentiate between plesiotwins and diperiodic twins based on their lattice restoration mechanisms.
  • To investigate the crystallographic conditions under which plesiotwins and diperiodic twins can form.
  • To explain the scarcity of experimentally confirmed diperiodic twin examples.

Main Methods:

  • Analysis of crystallographic rotation and lattice restoration in twin boundaries.
  • Examination of the Coincidence Site Lattice (CSL) in the composition plane.
  • Theoretical investigation of symmetry conditions for twin formation.

Main Results:

  • Plesiotwins are characterized by non-crystallographic rotation and a large CSL in the composition plane, leading to low lattice restoration.
  • Diperiodic twins have a small CSL and distant contributing lattice planes, resulting in poor overall lattice restoration.
  • Plesiotwins can manifest as reflection or rotation twins under specific geometric conditions.

Conclusions:

  • The distinct mechanisms of lattice restoration differentiate plesiotwins from diperiodic twins.
  • Metric conditions for diperiodic twins often conflict with the requirements for twinning, leading to hybrid structures or no observed examples.
  • The theoretical framework explains the absence of confirmed diperiodic twin occurrences in scientific literature.