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Summary

A review of inorganic crystal structures in space group R3 reveals that many entries may be misclassified. A significant percentage of these structures likely possess additional symmetry elements, impacting physical property predictions.

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Area of Science:

  • Crystallography and Materials Science
  • Solid-state Chemistry
  • Physics of Condensed Matter

Background:

  • The Inorganic Crystal Structure Database (ICSD) Release 2005/1 includes 158 entries classified under the space group R3.
  • Analysis of these entries reveals 52 distinct structure types, with 10 exhibiting multiple isostructural members.

Purpose of the Study:

  • To evaluate the structural integrity and symmetry of inorganic compounds listed under space group R3 in the ICSD.
  • To identify potential ferroelectric materials and assess the reliability of symmetry assignments for physical property prediction.

Main Methods:

  • Systematic analysis of 158 entries in the ICSD Release 2005/1 assigned to space group R3.
  • Evaluation of structural criteria for ferroelectricity and assessment of symmetry elements (inversion centers, mirror planes, glide planes).
  • Comparison of predicted symmetry with existing experimental confirmations and reported error rates in structural databases.

Main Results:

  • Eighteen structure types satisfy criteria for ferroelectricity, including known ferroelectrics and newly identified candidates like II-BaB2O4.
  • Six R3 structures likely exhibit mirror symmetry, and 19 are likely nonpolar, with varying degrees of experimental confirmation.
  • A substantial proportion (46% of initial, 35% of current R3 assignments) may possess additional symmetry elements, exceeding expected error rates.

Conclusions:

  • A significant number of inorganic structures currently assigned to space group R3 may be misclassified due to overlooked symmetry elements.
  • This misclassification impacts the reliability of physical property predictions, particularly for ferroelectric materials.
  • The findings highlight the need for re-evaluation of symmetry assignments in crystallographic databases to ensure accurate material characterization.