2012
DOI: 10.1111/j.1551-2916.2012.05115.x
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Pyrochlore Structural Chemistry: Predicting the Lattice Constant by the Ionic Radii and Electronegativities of the Constituting Ions

Abstract: The structural data on compounds which crystallize with the (cubic) pyrochlore structure have been analyzed to obtain a model equation that predicts their lattice constants. The model, which is based on the ionic radii and the electronegativities of the constituting ions, is applied to simple ternary and to more complicated mixed cation and anion pyrochlores. The average error between the experimental and calculated lattice constants is~0.45% for the ternary pyrochlores and~0.68% for the mixed compounds. The l… Show more

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Cited by 73 publications
(54 citation statements)
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“…However, if these displacements are due to A / B cation size mismatch they exist in all pyrochlores and not only resolve several long standing issues, such as the discrepancy between experimental and calculated pyrochlore lattice parameters 5, 4851 , but also many recently contested issues 11, 25, 42 . Since the A -Oʹ bond distance appears longer, these conclusions indicate that the bond valence sums, which were revised for the bonding coordination in these compounds 52 , may need to be updated.…”
Section: Discussionmentioning
confidence: 99%
“…However, if these displacements are due to A / B cation size mismatch they exist in all pyrochlores and not only resolve several long standing issues, such as the discrepancy between experimental and calculated pyrochlore lattice parameters 5, 4851 , but also many recently contested issues 11, 25, 42 . Since the A -Oʹ bond distance appears longer, these conclusions indicate that the bond valence sums, which were revised for the bonding coordination in these compounds 52 , may need to be updated.…”
Section: Discussionmentioning
confidence: 99%
“…Their unique properties such as magnetic behavior, conductivity31 and phase tolerance32 renderenormous applications in magnetic devices33, Li-O 2 battery34, solid state high temperature fuel cells (SOFC)35, nuclear waste immobilization36 and water splitting32 and so on. There are many pyrochlore iridates (A 2 Ir 2 O 7-δ ), but A when lanthanides (Nd-Yb) show a metal insulator or a metal insulator transition as a function of temperature33, thus they are out of our considerationas the electrical conductivity of a material is the fundamental factorfor an electrocatalyst.…”
mentioning
confidence: 99%
“…X=tetravalent cation, Y=F, Cl, Br, I) 13 and cubic pyrochlores 14 were modeled with achieving good agreement between the predicted and experimental LCs values. A recent analysis of the pyrochlore structural data 15 allowed introducing a new empirical tolerance factor for the representatives of this group of compounds.…”
Section: Introductionmentioning
confidence: 99%