Physics of the Solid State

, Volume 57, Issue 11, pp 2297–2304 | Cite as

High-symmetry phase prediction using trees of group–supergroup relations

  • Yu. E. Kitaev
  • A. G. Panfilov
  • E. S. Tasci
  • M. I. Aroyo
Phase Transitions

Abstract

A new procedure of constructing the group–supergroup relationship trees is proposed to reveal the highest-possible symmetry structure types (archetypes). Based on the approach, the group-supergroup tree is constructed for the MeO2 crystal family taken as an example.

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Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  • Yu. E. Kitaev
    • 1
    • 2
  • A. G. Panfilov
    • 1
    • 2
  • E. S. Tasci
    • 2
    • 3
  • M. I. Aroyo
    • 2
  1. 1.Ioffe Physical-Technical InstituteRussian Academy of SciencesSt. PetersburgRussia
  2. 2.Departamento de Física de la Materia Condensada, Facultad de Ciencia y TecnologiaUniversidad del Pais VascoLejona, Vizcaya, Gran BilbaoSpain
  3. 3.Department of Physics EngineeringHacettepe University, ÜniversitelerCankaya/AnkaraTurkey

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