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The staurolite enigma solved.

Mohamed Amine Marzouki1, Bernd Souvignier1, Massimo Nespolo2

  • 1Radboud University Nijmegen, Faculty of Science, Mathematics and Computing Science, Institute for Mathematics, Astrophysics and Particle Physics, Postbus 9010, 6500 GL Nijmegen, The Netherlands.

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Summary
This summary is machine-generated.

Staurolite twinning, a mineralogical puzzle, is explained by a new hybrid theory. The Saint Andrews cross twin is more frequent due to superior cation site restoration, resolving its higher occurrence.

Keywords:
Greek cross twinSaint Andrews cross twinstaurolitetwinning

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Area of Science:

  • Mineralogy
  • Crystallography
  • Materials Science

Background:

  • Staurolite exhibits frequent twinning, with two common forms: the Saint Andrews cross twin and the Greek cross twin.
  • The observed frequency of these twins contradicts traditional twinning theories, particularly the reticular theory, due to differing twin indices.

Purpose of the Study:

  • To elucidate the crystallographic reasons behind the differing occurrence frequencies of staurolite twin laws.
  • To reconcile the observed twinning patterns with existing theories of crystal twinning.

Main Methods:

  • Analysis of the (pseudo)-eigensymmetry of crystallographic orbits in staurolite.
  • Application of the hybrid theory of twinning to explain complex twin structures.
  • Quantitative assessment of sublattice restoration for both anion and cation sites under different twin laws.

Main Results:

  • Both Saint Andrews cross and Greek cross twins demonstrate restoration of the anion substructure, explaining the overall frequency of staurolite twinning.
  • The Saint Andrews cross twin exhibits significantly higher quasi-restoration (45%) of cation sites compared to the Greek cross twin (19%).
  • The hybrid theory reclassifies the Saint Andrews cross twin as a hybrid twin with an effective twin index of 6.0.

Conclusions:

  • The higher occurrence frequency of the Saint Andrews cross twin in staurolite is attributed to its superior ability to restore cation sites.
  • The findings provide a comprehensive explanation for staurolite twinning, integrating crystallographic symmetry analysis with twinning theories.