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Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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The periodic table arranges atoms based on increasing atomic number so that elements with the same chemical properties recur periodically. When their electron configurations are added to the table, a periodic recurrence of similar electron configurations in the outer shells of these elements is observed. Because they are in the outer shells of an atom, valence electrons play the most important role in chemical reactions. The outer electrons have the highest energy of the electrons in an atom...
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Atomic order in the spinel structure - a group-theoretical analysis.

V M Talanov1, V B Shirokov1

  • 1South Russia State Technical University (Novocherkassk Polytechnic Institute), 346400, Novocherkassk, Russia.

Acta Crystallographica. Section A, Foundations and Advances
|January 15, 2014
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Summary

This study explores ordered spinel structures using group-theoretical methods, identifying numerous potential phases and substructures. The findings provide a theoretical framework for understanding complex spinel arrangements and their low-symmetry modifications.

Keywords:
group-theoretical methodsordered spinelsphase transitionssuperstructures

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Area of Science:

  • Solid State Chemistry
  • Crystallography
  • Materials Science

Background:

  • Spinel structures are crucial in various material applications.
  • Understanding ordered spinel phases is essential for materials design.
  • Previous studies have not exhaustively cataloged all possible ordered spinel structures.

Purpose of the Study:

  • To systematically investigate the possible ordered structures of spinels.
  • To classify these structures based on symmetry and cation/anion ordering.
  • To compare theoretical predictions with existing experimental data.

Main Methods:

  • Application of group-theoretical methods derived from Landau theory of phase transitions.
  • Analysis of ordering possibilities in specific Wyckoff positions (8a, 16d, 32e) within the spinel lattice.
  • Inclusion of binary and ternary cation/anion substructures.

Main Results:

  • Identification of 305, 537, and 595 potential ordered phases in Wyckoff positions 8a, 16d, and 32e, respectively.
  • Discovery of 549 phases with simultaneous ordering in positions 8a and 16d, encompassing various binary and ternary substructures.
  • Detailed classification of numerous cation and anion substructures, including combined ordering types.

Conclusions:

  • The study provides a comprehensive theoretical catalog of ordered spinel structures.
  • Calculated structures of low-symmetry spinel modifications are presented.
  • The theoretical framework aids in predicting and understanding complex spinel materials.