2013
DOI: 10.1002/pssb.201349084
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First-principles calculations of ferroelectric properties in AA′BB′O6 double perovskites with different types of cation ordering

Abstract: First‐principles calculations of lattice dynamics and polarization properties have been performed for double perovskite ABiBNbO6 (A – alkali metal Na, Rb, and B – trivalent metal Sc, Lu). Three possible types of A‐ and B‐site cation ordering are studied: layer and columnar ordering of A‐site cations with rocksalt ordering of B‐site cations, and layer ordering of both cations. The ground state of all compounds is polar with a large value of polarization for all types of cation ordering. For some compounds we ob… Show more

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Cited by 9 publications
(6 citation statements)
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“…Ordering of cations along the [111]-direction as in AA′B 2 O 6 perovskites and depicted in Fig. 3c, requires tilts consisting of two modes (such as a − a − c + ) as already described, 41,96 or alternatively a single mode as recently pointed out by Young and Rondinelli. 97 In the latter case, only out-of-phase rotations are required: first-principles calculations on a series of aluminates, including LaNdAl 2 O 6 , LaPrAl 2 O 6 , and CePrAl 2 O 6 , found that while only LaPrAl 2 O 6 and CePrAl 2 O 6 are polar (Imm2), LaNdAl 2 O 6 is chiral and non-polar (space group R32).…”
Section: -81mentioning
confidence: 60%
“…Ordering of cations along the [111]-direction as in AA′B 2 O 6 perovskites and depicted in Fig. 3c, requires tilts consisting of two modes (such as a − a − c + ) as already described, 41,96 or alternatively a single mode as recently pointed out by Young and Rondinelli. 97 In the latter case, only out-of-phase rotations are required: first-principles calculations on a series of aluminates, including LaNdAl 2 O 6 , LaPrAl 2 O 6 , and CePrAl 2 O 6 , found that while only LaPrAl 2 O 6 and CePrAl 2 O 6 are polar (Imm2), LaNdAl 2 O 6 is chiral and non-polar (space group R32).…”
Section: -81mentioning
confidence: 60%
“…While cooperative first-order Jahn–Teller distortions or octahedral rotations maintain the centricity of the perovskite structure, recently applied group theoretical arguments have shown that the combination of cation ordering and octahedral rotations are sufficient to inversion symmetry in ordered (A,A′)B 2 O 6 perovskites without acentric atomic displacements. Our interest in (ABO 3 ) n =1 /(AO) Ruddlesden–Popper (214, RP) compounds stems from their layered two-dimensional (2D) topology . The RP crystal structure may be derived from the perovskite structure by considering variations in layers of ABO 3 perovskite blocks stacked along the [001] direction with an extra sheet of an AO rocksalt layer interleaved every n layers (Figure ).…”
mentioning
confidence: 99%
“…It should be noted that the maximum displacements in the eigenvector of the E u mode are observed in the lead and oxygen ions. Following [12] and using the Bilbao crystallo graphic server [13,14], we found that the condensa tion of any two of the three unstable modes leads to the monoclinic phase with the polar symmetry group P2 1 . The structure of the low symmetry phase was com pletely optimized.…”
Section: Computational Techniquementioning
confidence: 99%