with density functional theory (DFT) calculations and report the structural parameters along with the electronic structure of the bismuth pyrochlores in their ideal cubic, defect-free structure. We also examined the role of cation displacements within the cubic structure and find that only Bi 2 Ti 2 O 7 shows a substantial increase in favorability with Bi cation displacements. For Bi 2 Ti 2 O 7, we find an average displacement of 0.38±0.02 Å for the Bi …
We examined a range of cubic (, Ru, Rh, Ir, Os, and Pt) pyrochlores with density functional theory (DFT) calculations and report the structural parameters along with the electronic structure of the bismuth pyrochlores in their ideal cubic, defect-free structure. We also examined the role of cation displacements within the cubic structure and find that only shows a substantial increase in favorability with Bi cation displacements. For , we find an average displacement of for the Bi cation and an energy change of atom. The cation displacement in follows the spin-ice rules reported in complex Bi-based pyrochlores, where two-long and two-short bonds are found in each tetrahedron of . Examination of the electronic structure shows the main driving force in the displacement is the extent of interactions in and metallic bismuth pyrochlores. In , we observe more overlap of and states with states, similar to the reported electronic structure of , PbO, and SnO, which leads to the asymmetric electronic structure around the Bi cation. This asymmetric electron structure is associated with the displacement of cations in . Our DFT results match the general understanding from experimental studies but underestimate the displacement in .