Geodesic
Phases of anionic ordering in elpasolite structures (ordered perovskites)
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 1, pp. 108-118

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The 108 dissymmetric phases were obtained as a result of $X$ anions ordering in elpasolite structure $A_2BB'X_6$ (ordered perovskite) using group theoretical methods. The critical order parameters which transform according to the irreducible representations of $\Gamma$ and $\mathrm{X}$ points of Brillouin zone of $O_h^5$— $Fm\bar 3m$ space group were considered only. Polyhedral structures showed for dissymmetric phases which are accompanied by appearing of ferroelectricity at phase transition. All results are summarized in convenient tables.
Keywords: structural data, a complete condensate of order parameters, irreducible representations, critical distortion, dissymmetric phases.
Mots-clés : elpasolite, phase transition 
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Roman G. Sevryukov; Ivan N. Safonov; Maksim S. Molokeev; Sergey V. Misjul. Phases of anionic ordering in elpasolite structures (ordered perovskites). Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 1, pp. 108-118. http://geodesic.mathdoc.fr/item/JSFU_2016_9_1_a11/