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At least 181 records · Page 10

Realization of Organocerium-Based Fullerene Molecular Materials Showing Mott Insulator-Type Behavior

Abstract Electron-rich organocerium complexes (C 5 Me 4 H) 3 Ce and [(C 5 Me 5 ) 2 Ce(ortho-oxa)], with redox potentials E 1/2 = –0.82 V and E 1/2 = –0.86 V versus Fc/Fc + respectively, were reacted with fullerene (C 60 ) in different stoichiometries to obtain molecular materials. Structurally characterized co-crystals: [(C 5 Me 4 H) 3 Ce] 2 •C 60 (1) and [(C 5 Me 5 ) 2 Ce(ortho-oxa)] 3 •C 60 (2) of C 60 with cerium-based rare earth molecular precursors are reported for the first time. The extent of charge transfer in 1 and 2 was evaluated using a series of physical measurements: FT-IR, Raman, solidstate UV-vis-NIR spectroscopy, X-ray absorption near edge structure (XANES) spectroscopy, and magnetic susceptibility measurements. The physical measurements indicate that 1 and 2 comprise the cerium(III) oxidation state with formally neutral C 60 as a co-crystal in both cases. Pressure-dependent periodic density functional theory calculations were performed to study the electronic structure of 1. Inclusion of a Hubbard-U parameter removes Ce f states from the Fermi level, opens up a band gap, and stabilizes FM/AFM magnetic solutions that are isoenergetic because of the large distances between the Ce(III) cations. Furthermore, the electronic structure of this strongly correlated Mott insulator-type system is reminiscent of the well-studied Ce 2 O 3 .

36 MATERIALS SCIENCE↗

Single-Nucleon Transfer on Unstable 59 Cu Probes the NiCu Cycle in Astrophysical X-Ray Bursts

Recent models of the rapid proton (𝑟⁢𝑝) capture process indicate that a competition between the 59 Cu⁢(𝑝,𝛾) ⁢60 Zn and 59 Cu⁢(𝑝,𝛼) ⁢56 Ni reactions may result in the formation of a nickel-copper (NiCu) cycle that traps the flux of material between 56 Ni and 60 Zn . Here, in this work, we report the identification of 15 proton-unbound levels in 60 Zn , populated via 59 Cu⁢(𝑑,𝑛) transfer, which govern the rate of the 59 Cu⁢(𝑝,𝛾)⁢ 60 Zn reaction in XRBs. Precise excitation energies for levels in 60 Zn were obtained from observed 𝛾 decays, and spectroscopic factors were determined from angle-integrated cross sections. Incorporating these results into stellar-model calculations, we find that with experimentally constrained uncertainties a NiCu cycle in XRBs is indeed possible, though we limit its branching strength to less than 38%. While modest, such a branching has significant impact on the light curve, motivating further studies of the relevant rates. Our calculations also indicate that a significant NiCu cycle leads to an increase in the amount of odd-𝐴 nuclei in the burst ashes, which may affect Urca cooling processes in neutron star crusts.

direct reactions↗

Materials Data on Ca3YAl3B4O15 by Materials Project

Ca3YAl3B4O15 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with two equivalent CaO8 hexagonal bipyramids, corners with two equivalent AlO6 octahedra, and edges with two equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ca–O bond distances ranging from 2.19–2.50 Å. In the second Ca2+ site, Ca2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.62 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with two equivalent CaO8 hexagonal bipyramids, corners with two equivalent AlO6 octahedra, and edges with two equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Ca–O bond distances ranging from 2.19–2.53 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with two equivalent CaO8 hexagonal bipyramids, corners with two equivalent AlO6 octahedra, and edges with two equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Ca–O bond distances ranging from 2.17–2.51 Å. In the fifth Ca2+ site, Ca2+ is bonded to eight O2- atoms to form distorted CaO8 hexagonal bipyramids that share a cornercorner with one YO6 octahedra, corners with two AlO6 octahedra, corners with three CaO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedra tilt angles range from 60–66°. There are a spread of Ca–O bond distances ranging from 2.44–2.64 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with two equivalent AlO6 octahedra and edges with two equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Ca–O bond distances ranging from 2.18–2.51 Å. In the seventh Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with two equivalent AlO6 octahedra and edges with two equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Ca–O bond distances ranging from 2.17–2.47 Å. In the eighth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.45–2.64 Å. In the ninth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.44–2.70 Å. There are three inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two equivalent CaO8 hexagonal bipyramids, corners with two equivalent AlO6 octahedra, and edges with two equivalent AlO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Y–O bond distances ranging from 2.15–2.40 Å. In the second Y3+ site, Y3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Y–O bond distances ranging from 2.29–2.52 Å. In the third Y3+ site, Y3+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Y–O bond distances ranging from 2.29–2.58 Å. There are six inequivalent Al3+ sites. In the first Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one YO6 octahedra, an edgeedge with one CaO8 hexagonal bipyramid, an edgeedge with one CaO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Al–O bond distances ranging from 1.84–2.10 Å. In the second Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one CaO6 octahedra, an edgeedge with one CaO8 hexagonal bipyramid, an edgeedge with one CaO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Al–O bond distances ranging from 1.84–2.10 Å. In the third Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one CaO8 hexagonal bipyramid, a cornercorner with one CaO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Al–O bond distances ranging from 1.82–2.08 Å. In the fourth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one CaO8 hexagonal bipyramid, a cornercorner with one CaO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Al–O bond distances ranging from 1.84–2.08 Å. In the fifth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one CaO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Al–O bond distances ranging from 1.84–2.09 Å. In the sixth Al3+ site, Al3+ is bonded to six O2- atoms to form AlO6 octahedra that share a cornercorner with one CaO6 octahedra, an edgeedge with one YO6 octahedra, and edges with two AlO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Al–O bond distances ranging from 1.82–2.17 Å. There are eleven inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.39 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 Å) and two longer (1.38 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.42 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.38–1.42 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.42 Å) B–O bond length. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. In the eleventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.41 Å) B–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the second O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the third O2- site, O2- is bonded to two Ca2+ and two equivalent Al3+ atoms to form distorted corner-sharing OCa2Al2 tetrahedra. In the fourth O2- site, O2- is bonded to one Ca2+, one Y3+, and two equivalent Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, two Al3+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, two Al3+, and one B3+ atom. In the seventh O2- site, O2- is bonded to one Ca2+, one Y3+, and two equivalent Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the eighth O2- site, O2- is bonded to one Ca2+, one Y3+, and two equivalent Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the ninth O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+, one Al3+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+, one Al3+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to two Ca2+ and two equivalent Al3+ atoms to form distorted corner-sharing OCa2Al2 tetrahedra. In the fourteenth O2- site, O2- is bonded to one Ca2+, one Y3+, and two equivalent Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, two equivalent Al3+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, two equivalent Al3+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, two Al3+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded to one Ca2+, one Y3+, and two Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to two Ca2+, one Y3+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded to one Ca2+, one Y3+, and two Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, two equivalent Al3+, and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, two equivalent Al3+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Y3+, two equivalent Al3+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+, two equivalent Al3+, and one B3+ atom. In the thirty-second O2- site, O2- is bonded to one Ca2+, one Y3+, and two Al3+ atoms to form distorted corner-sharing OCaYAl2 tetrahedra. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Y3+, one Al3+, and one B3+ atom. In the thirty-fifth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one B3+ atom. In the thirty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Ca2+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.22 Å. There are one shorter (2.23 Å) and one longer (2.29 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to two N3- and four O2- atoms to form a mixture of distorted edge and corner-sharing HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are one shorter (2.07 Å) and one longer (2.14 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.09–2.21 Å. In the third Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Hf–N bond distances ranging from 2.10–2.16 Å. There are a spread of Hf–O bond distances ranging from 2.15–2.21 Å. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Hf–N bond distances ranging from 2.08–2.15 Å. There are one shorter (2.32 Å) and one longer (2.36 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are one shorter (2.08 Å) and two longer (2.18 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.13–2.19 Å. In the sixth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Hf–N bond distances ranging from 2.09–2.21 Å. There are a spread of Hf–O bond distances ranging from 2.14–2.20 Å. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 50–60°. There are a spread of Hf–N bond distances ranging from 2.09–2.21 Å. There are one shorter (2.26 Å) and one longer (2.27 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Hf–N bond distances ranging from 2.09–2.18 Å. There are one shorter (2.21 Å) and one longer (2.28 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Hf–N bond distances ranging from 2.12–2.24 Å. The Hf–O bond length is 2.37 Å. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of Hf–N bond distances ranging from 2.09–2.18 Å. There are one shorter (2.28 Å) and one longer (2.32 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. Both Hf–O bond lengths are 2.16 Å. In the twelfth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are one shorter (2.09 Å) and three longer (2.16 Å) Hf–N bond lengths. There are one shorter (2.21 Å) and one longer (2.32 Å) Hf–O bond lengths. In the thirteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.11–2.19 Å. The Hf–O bond length is 2.27 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to six N3- atoms to form distorted HfN6 octahedra that share corners with six HfN2O4 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.16–2.27 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN2O4 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.07–2.12 Å. There are a spread of Hf–O bond distances ranging from 2.19–2.29 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to six N3- atoms to form distorted HfN6 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Hf–N bond distances ranging from 2.14–2.24 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with five NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with four NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with six NHf4 tetrahedra, corners with three NHf4 trigonal pyramids, corners with three OHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with seven NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with four NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with five NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with four NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with five NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with four NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with five OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with six NHf4 tetrahedra, corners with three NHf4 trigonal pyramids, corners with three OHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with five OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with six NHf4 tetrahedra, corners with three NHf4 trigonal pyramids, corners with three OHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with six NHf4 tetrahedra, corners with three NHf4 trigonal pyramids, corners with three OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with six NHf4 tetrahedra, corners with three NHf4 trigonal pyramids, corners with three OHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, and edges with four NHf4 tetrahedra. In the thirteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with six NHf4 tetrahedra, corners with three NHf4 trigonal pyramids, corners with three OHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with seven NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with four NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with five OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, edges with three NHf4 tetrahedra, and an edgeedge with one NHf4 trigonal pyramid. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with five OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with five OHf4 trigonal pyramids, edges with three NHf4 tetrahedra, and an edgeedge with one OHf4 trigonal pyramid. In the fourth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with seven NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with four NHf4 trigonal pyramids, an edgeedge with o

36 MATERIALS SCIENCE↗

Materials Data on Ho2Sb2O7 by Materials Project

Ho2Sb2O7 crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are seven inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.33–2.67 Å. In the second Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.19–2.83 Å. In the third Ho3+ site, Ho3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ho–O bond distances ranging from 2.20–2.58 Å. In the fourth Ho3+ site, Ho3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.33–2.66 Å. In the fifth Ho3+ site, Ho3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ho–O bond distances ranging from 2.20–2.58 Å. In the sixth Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.19–2.83 Å. In the seventh Ho3+ site, Ho3+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Ho–O bond distances ranging from 2.20–2.58 Å. There are seven inequivalent Sb4+ sites. In the first Sb4+ site, Sb4+ is bonded to six O2- atoms to form distorted corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 59–60°. There are a spread of Sb–O bond distances ranging from 2.28–2.34 Å. In the second Sb4+ site, Sb4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sb–O bond distances ranging from 2.06–2.81 Å. In the third Sb4+ site, Sb4+ is bonded to six O2- atoms to form corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 40–60°. There are a spread of Sb–O bond distances ranging from 1.99–2.03 Å. In the fourth Sb4+ site, Sb4+ is bonded to six O2- atoms to form corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–60°. There are a spread of Sb–O bond distances ranging from 1.99–2.03 Å. In the fifth Sb4+ site, Sb4+ is bonded to six O2- atoms to form corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 39–60°. There are a spread of Sb–O bond distances ranging from 1.99–2.03 Å. In the sixth Sb4+ site, Sb4+ is bonded to six O2- atoms to form distorted corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 59–60°. There are a spread of Sb–O bond distances ranging from 2.28–2.34 Å. In the seventh Sb4+ site, Sb4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sb–O bond distances ranging from 2.06–2.81 Å. There are twenty-one inequivalent O2- sites. In the first O2- site, O2- is bonded to three Ho3+ and one Sb4+ atom to form OHo3Sb tetrahedra that share corners with six OHo2Sb2 tetrahedra and edges with four OHo3Sb tetrahedra. In the second O2- site, O2- is bonded to two Ho3+ and two Sb4+ atoms to form distorted OHo2Sb2 tetrahedra that share corners with ten OHo2Sb2 tetrahedra and edges with three OHo3Sb tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two Sb4+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ho3+ and three Sb4+ atoms. In the fifth O2- site, O2- is bonded to three Ho3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OHo3Sb tetrahedra. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Ho3+ and two Sb4+ atoms. In the seventh O2- site, O2- is bonded to three Ho3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OHo3Sb tetrahedra. In the eighth O2- site, O2- is bonded to two Ho3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OHo2Sb2 tetrahedra. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ho3+ and three Sb4+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ho3+ and two Sb4+ atoms. In the eleventh O2- site, O2- is bonded to two Ho3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OHo2Sb2 tetrahedra. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Ho3+ and two Sb4+ atoms. In the thirteenth O2- site, O2- is bonded to three Ho3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OHo3Sb tetrahedra. In the fourteenth O2- site, O2- is bonded to two Ho3+ and two Sb4+ atoms to form distorted OHo2Sb2 tetrahedra that share corners with eight OHo2Sb2 tetrahedra and edges with three OHo3Sb tetrahedra. In the fifteenth O2- site, O2- is bonded to two Ho3+ and two Sb4+ atoms to form a mixture of distorted edge and corner-sharing OHo2Sb2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ho3+ and two Sb4+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Ho3+ and two Sb4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ho3+ and three Sb4+ atoms. In the nineteenth O2- site, O2- is bonded to two Ho3+ and two Sb4+ atoms to form distorted OHo2Sb2 tetrahedra that share corners with ten OHo3Sb tetrahedra and edges with three OHo2Sb2 tetrahedra. In the twentieth O2- site, O2- is bonded to three Ho3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OHo3Sb tetrahedra. In the twenty-first O2- site, O2- is bonded to three Ho3+ and one Sb4+ atom to form a mixture of edge and corner-sharing OHo3Sb tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li9V12Fe7O48 by Materials Project

Li9V12Fe7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li sites. In the first Li site, Li is bonded to six O atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Li–O bond distances ranging from 2.08–2.26 Å. In the second Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 62–71°. There are a spread of Li–O bond distances ranging from 2.10–2.19 Å. In the third Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 63–71°. There are a spread of Li–O bond distances ranging from 2.09–2.19 Å. In the fourth Li site, Li is bonded to six O atoms to form distorted LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Li–O bond distances ranging from 2.04–2.32 Å. In the fifth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.02–2.19 Å. In the sixth Li site, Li is bonded to six O atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent FeO6 octahedra. There are a spread of Li–O bond distances ranging from 2.05–2.17 Å. In the seventh Li site, Li is bonded to six O atoms to form distorted LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 2.04–2.32 Å. In the eighth Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share corners with two FeO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 62–64°. There are a spread of Li–O bond distances ranging from 2.11–2.20 Å. In the ninth Li site, Li is bonded to six O atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one FeO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 61–71°. There are a spread of Li–O bond distances ranging from 2.12–2.22 Å. There are twelve inequivalent V sites. In the first V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra and corners with six FeO6 octahedra. The corner-sharing octahedra tilt angles range from 23–64°. There are a spread of V–O bond distances ranging from 1.71–1.85 Å. In the second V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–57°. There are a spread of V–O bond distances ranging from 1.70–1.81 Å. In the third V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–60°. There are a spread of V–O bond distances ranging from 1.71–1.80 Å. In the fourth V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 33–61°. There are a spread of V–O bond distances ranging from 1.72–1.79 Å. In the fifth V site, V is bonded to four O atoms to form VO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 32–60°. There are a spread of V–O bond distances ranging from 1.69–1.81 Å. In the sixth V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 29–65°. There are a spread of V–O bond distances ranging from 1.72–1.79 Å. In the seventh V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four FeO6 octahedra. The corner-sharing octahedra tilt angles range from 29–65°. There are a spread of V–O bond distances ranging from 1.72–1.80 Å. In the eighth V site, V is bonded to four O atoms to form VO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with four FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 32–59°. There are a spread of V–O bond distances ranging from 1.69–1.82 Å. In the ninth V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 33–56°. There are a spread of V–O bond distances ranging from 1.71–1.77 Å. In the tenth V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two FeO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 28–57°. There are a spread of V–O bond distances ranging from 1.70–1.80 Å. In the eleventh V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three FeO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 27–60°. There are a spread of V–O bond distances ranging from 1.71–1.80 Å. In the twelfth V site, V is bonded to four O atoms to form VO4 tetrahedra that share corners with three LiO6 octahedra and corners with five FeO6 octahedra. The corner-sharing octahedra tilt angles range from 22–63°. There are a spread of V–O bond distances ranging from 1.72–1.80 Å. There are seven inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.08 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of Fe–O bond distances ranging from 1.97–2.12 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of Fe–O bond distances ranging from 1.95–2.06 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Fe–O bond distances ranging from 1.96–2.06 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.97–2.09 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent FeO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.95–2.11 Å. In the seventh Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.14 Å. There are forty-eight inequivalent O sites. In the first O site, O is bonded in a trigonal planar geometry to one Li, one V, and one Fe atom. In the second O site, O is bonded in a trigonal planar geometry to two Li and one V atom. In the third O site, O is bonded in a trigonal planar geometry to one Li, one V, and one Fe atom. In the fourth O site, O is bonded in a distorted trigonal planar geometry to two Li and one V atom. In the fifth O site, O is bonded in a 3-coordinate geometry to two Li and one V atom. In the sixth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one Fe atom. In the seventh O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the eighth O site, O is bonded in a distorted trigonal planar geometry to one V and two Fe atoms. In the ninth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one Fe atom. In the tenth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the eleventh O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the twelfth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the thirteenth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the fourteenth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the fifteenth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the sixteenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one Fe atom. In the seventeenth O site, O is bonded in a distorted trigonal planar geometry to one Li, one V, and one Fe atom. In the eighteenth O site, O is bonded in a distorted trigonal planar geometry to one V and two Fe atoms. In the nineteenth O site, O is bonded in a 3-coordinate geometry to one Li, one V, and one Fe atom. In the twentieth O site, O is bonded in a distorted trigonal planar geometry to two Li and one V atom. In the twenty-first O site, O is bonded in a 3-coordinate geometry to two Li and one V atom. In the twenty-second O site, O is bonded in a trigonal planar geometry to one Li, one V, and one Fe atom. In the twenty-third O site, O is bonded in a trigonal planar geometry to two Li and one V atom. In the twenty-fourth O site, O is bonded in a trigonal planar geometry to one Li, one V, and one Fe atom. In the twenty-fifth O site, O is bonded in a trigonal planar geometry to one

36 MATERIALS SCIENCE↗

Materials Data on Li3MnF5 by Materials Project

Li3MnF5 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two MnF6 octahedra, corners with four LiF6 octahedra, an edgeedge with one MnF6 octahedra, edges with two LiF6 octahedra, a faceface with one LiF6 octahedra, and a faceface with one MnF6 octahedra. The corner-sharing octahedra tilt angles range from 39–54°. There are a spread of Li–F bond distances ranging from 2.00–2.18 Å. In the second Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with three MnF6 octahedra, corners with four LiF6 octahedra, edges with two LiF6 octahedra, edges with two MnF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 41–59°. There are a spread of Li–F bond distances ranging from 1.96–2.22 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six F1- atoms. There are a spread of Li–F bond distances ranging from 1.90–2.49 Å. In the fourth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with three MnF6 octahedra, corners with five LiF6 octahedra, an edgeedge with one LiF6 octahedra, edges with two MnF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 36–57°. There are a spread of Li–F bond distances ranging from 1.98–2.14 Å. In the fifth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six F1- atoms. There are a spread of Li–F bond distances ranging from 1.85–2.62 Å. In the sixth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two MnF6 octahedra, corners with five LiF6 octahedra, an edgeedge with one MnF6 octahedra, edges with two LiF6 octahedra, a faceface with one LiF6 octahedra, and a faceface with one MnF6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of Li–F bond distances ranging from 1.97–2.24 Å. In the seventh Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two MnF6 octahedra, corners with five LiF6 octahedra, an edgeedge with one LiF6 octahedra, an edgeedge with one MnF6 octahedra, a faceface with one LiF6 octahedra, and a faceface with one MnF6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of Li–F bond distances ranging from 1.96–2.14 Å. In the eighth Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with three MnF6 octahedra, corners with six LiF6 octahedra, edges with two MnF6 octahedra, and edges with three LiF6 octahedra. The corner-sharing octahedra tilt angles range from 33–62°. There are a spread of Li–F bond distances ranging from 1.95–2.38 Å. In the ninth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six F1- atoms. There are a spread of Li–F bond distances ranging from 1.90–2.49 Å. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six F1- atoms. There are a spread of Li–F bond distances ranging from 1.94–2.43 Å. In the eleventh Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with three MnF6 octahedra, corners with four LiF6 octahedra, an edgeedge with one LiF6 octahedra, edges with two MnF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 37–58°. There are a spread of Li–F bond distances ranging from 1.95–2.20 Å. In the twelfth Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with three MnF6 octahedra, corners with five LiF6 octahedra, edges with two LiF6 octahedra, edges with two MnF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 34–62°. There are a spread of Li–F bond distances ranging from 1.94–2.39 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six F1- atoms. There are a spread of Li–F bond distances ranging from 1.87–2.55 Å. In the fourteenth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with three MnF6 octahedra, corners with four LiF6 octahedra, edges with two LiF6 octahedra, edges with two MnF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 35–55°. There are a spread of Li–F bond distances ranging from 1.99–2.19 Å. In the fifteenth Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with three MnF6 octahedra, corners with four LiF6 octahedra, edges with two MnF6 octahedra, and faces with two LiF6 octahedra. The corner-sharing octahedra tilt angles range from 39–58°. There are a spread of Li–F bond distances ranging from 1.90–2.27 Å. In the sixteenth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two MnF6 octahedra, corners with four LiF6 octahedra, an edgeedge with one LiF6 octahedra, an edgeedge with one MnF6 octahedra, a faceface with one LiF6 octahedra, and a faceface with one MnF6 octahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Li–F bond distances ranging from 1.96–2.25 Å. In the seventeenth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two MnF6 octahedra, corners with three LiF6 octahedra, an edgeedge with one MnF6 octahedra, edges with two LiF6 octahedra, a faceface with one LiF6 octahedra, and a faceface with one MnF6 octahedra. The corner-sharing octahedra tilt angles range from 41–55°. There are a spread of Li–F bond distances ranging from 1.97–2.18 Å. In the eighteenth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two MnF6 octahedra, corners with five LiF6 octahedra, an edgeedge with one MnF6 octahedra, edges with two LiF6 octahedra, a faceface with one LiF6 octahedra, and a faceface with one MnF6 octahedra. The corner-sharing octahedra tilt angles range from 37–56°. There are a spread of Li–F bond distances ranging from 1.94–2.24 Å. In the nineteenth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with three MnF6 octahedra, corners with four LiF6 octahedra, an edgeedge with one LiF6 octahedra, edges with two MnF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There are a spread of Li–F bond distances ranging from 1.95–2.19 Å. In the twentieth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six F1- atoms. There are a spread of Li–F bond distances ranging from 1.92–2.38 Å. In the twenty-first Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with three MnF6 octahedra, corners with five LiF6 octahedra, an edgeedge with one LiF6 octahedra, edges with two MnF6 octahedra, and faces with two LiF6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of Li–F bond distances ranging from 1.96–2.13 Å. In the twenty-second Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with three MnF6 octahedra, corners with four LiF6 octahedra, edges with two MnF6 octahedra, edges with three LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of Li–F bond distances ranging from 1.92–2.36 Å. In the twenty-third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six F1- atoms. There are a spread of Li–F bond distances ranging from 1.92–2.50 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with two MnF6 octahedra, corners with five LiF6 octahedra, an edgeedge with one MnF6 octahedra, edges with two LiF6 octahedra, a faceface with one LiF6 octahedra, and a faceface with one MnF6 octahedra. The corner-sharing octahedra tilt angles range from 35–62°. There are a spread of Li–F bond distances ranging from 1.98–2.34 Å. There are eight inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with two MnF6 octahedra, corners with five LiF6 octahedra, edges with three LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of Mn–F bond distances ranging from 2.06–2.23 Å. In the second Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with two MnF6 octahedra, corners with six LiF6 octahedra, edges with four LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 34–60°. There are a spread of Mn–F bond distances ranging from 2.09–2.24 Å. In the third Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with two MnF6 octahedra, corners with five LiF6 octahedra, and edges with four LiF6 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Mn–F bond distances ranging from 2.12–2.20 Å. In the fourth Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with two MnF6 octahedra, corners with six LiF6 octahedra, edges with two LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 34–61°. There are a spread of Mn–F bond distances ranging from 2.09–2.25 Å. In the fifth Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with two MnF6 octahedra, corners with six LiF6 octahedra, edges with four LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 42–61°. There are a spread of Mn–F bond distances ranging from 2.07–2.22 Å. In the sixth Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with two MnF6 octahedra, corners with six LiF6 octahedra, edges with three LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 37–59°. There are a spread of Mn–F bond distances ranging from 2.07–2.25 Å. In the seventh Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with two MnF6 octahedra, corners with five LiF6 octahedra, edges with four LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 42–60°. There are a spread of Mn–F bond distances ranging from 2.08–2.22 Å. In the eighth Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with two MnF6 octahedra, corners with five LiF6 octahedra, edges with three LiF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 33–59°. There are a spread of Mn–F bond distances ranging from 2.08–2.18 Å. There are forty inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted see-saw-like geometry to three Li1+ and one Mn2+ atom. In the second F1- site, F1- is bonded to three Li1+ and one Mn2+ atom to form distorted FLi3Mn trigonal pyramids that share corners with four FLi3Mn2 trigonal bipyramids, corners with two FLi3Mn trigonal pyramids, and edges with three FLi3Mn2 trigonal bipyramids. In the third F1- site, F1- is bonded to three Li1+ and two Mn2+ atoms to form distorted FLi3Mn2 trigonal bipyramids that share corners with three FLi4Mn trigonal bipyramids, edges with five FLi4Mn trigonal bipyramids, and an edgeedge with one FLi3Mn trigonal pyramid. In the fourth F1- site, F1- is bonded in a 5-coordinate geometry to four Li1+ and one Mn2+ atom. In the fifth F1- site, F1- is bonded to four Li1+ and one Mn2+ atom to form distorted FLi4Mn trigonal bipyramids that share corners with three

36 MATERIALS SCIENCE↗

Materials Data on NaLi9Fe10(SiO3)20 by Materials Project

NaLi9Fe10(SiO3)20 is Esseneite-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. Na is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Na–O bond distances ranging from 2.33–2.37 Å. There are five inequivalent Li sites. In the first Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.10–2.54 Å. In the second Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.11–2.53 Å. In the third Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.11–2.53 Å. In the fourth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.11–2.53 Å. In the fifth Li site, Li is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Li–O bond distances ranging from 2.11–2.53 Å. There are six inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.17 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.15 Å. In the third Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.18 Å. In the fourth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.18 Å. In the fifth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.18 Å. In the sixth Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.17 Å. There are ten inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–59°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–58°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There is one shorter (1.61 Å) and three longer (1.65 Å) Si–O bond length. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–59°. There is one shorter (1.61 Å) and three longer (1.65 Å) Si–O bond length. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–59°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–59°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There is one shorter (1.61 Å) and three longer (1.65 Å) Si–O bond length. There are thirty inequivalent O sites. In the first O site, O is bonded to one Li, two Fe, and one Si atom to form distorted edge-sharing OLiFe2Si trigonal pyramids. In the second O site, O is bonded in a distorted T-shaped geometry to one Li, one Fe, and one Si atom. In the third O site, O is bonded in a 2-coordinate geometry to one Li and two Si atoms. In the fourth O site, O is bonded in a distorted bent 150 degrees geometry to one Li and two Si atoms. In the fifth O site, O is bonded in a distorted T-shaped geometry to one Li, one Fe, and one Si atom. In the sixth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Na, two Fe, and one Si atom. In the seventh O site, O is bonded in a 3-coordinate geometry to one Na and two Si atoms. In the eighth O site, O is bonded in a distorted T-shaped geometry to one Na, one Fe, and one Si atom. In the ninth O site, O is bonded in a 4-coordinate geometry to one Li, two Fe, and one Si atom. In the tenth O site, O is bonded to one Li, two Fe, and one Si atom to form a mixture of distorted corner and edge-sharing OLiFe2Si trigonal pyramids. In the eleventh O site, O is bonded in a distorted T-shaped geometry to one Li, one Fe, and one Si atom. In the twelfth O site, O is bonded in a 2-coordinate geometry to one Li and two Si atoms. In the thirteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Li and two Si atoms. In the fourteenth O site, O is bonded in a distorted T-shaped geometry to one Li, one Fe, and one Si atom. In the fifteenth O site, O is bonded in a 4-coordinate geometry to one Li, two Fe, and one Si atom. In the sixteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Li and two Si atoms. In the seventeenth O site, O is bonded in a distorted T-shaped geometry to one Li, one Fe, and one Si atom. In the eighteenth O site, O is bonded in a 4-coordinate geometry to one Li, two Fe, and one Si atom. In the nineteenth O site, O is bonded in a distorted bent 150 degrees geometry to one Li and two Si atoms. In the twentieth O site, O is bonded in a distorted T-shaped geometry to one Li, one Fe, and one Si atom. In the twenty-first O site, O is bonded in a 4-coordinate geometry to one Li, two Fe, and one Si atom. In the twenty-second O site, O is bonded in a 4-coordinate geometry to one Li, two Fe, and one Si atom. In the twenty-third O site, O is bonded in a distorted T-shaped geometry to one Li, one Fe, and one Si atom. In the twenty-fourth O site, O is bonded in a distorted bent 150 degrees geometry to one Li and two Si atoms. In the twenty-fifth O site, O is bonded in a 4-coordinate geometry to one Li, two Fe, and one Si atom. In the twenty-sixth O site, O is bonded in a distorted T-shaped geometry to one Li, one Fe, and one Si atom. In the twenty-seventh O site, O is bonded in a distorted bent 150 degrees geometry to one Li and two Si atoms. In the twenty-eighth O site, O is bonded in a distorted bent 150 degrees geometry to one Li and two Si atoms. In the twenty-ninth O site, O is bonded in a 4-coordinate geometry to one Li, two Fe, and one Si atom. In the thirtieth O site, O is bonded in a distorted T-shaped geometry to one Li, one Fe, and one Si atom.

36 MATERIALS SCIENCE↗

Materials Data on La(CoP3)20 by Materials Project

La(CoP3)20 is Skutterudite-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. La is bonded to twelve P atoms to form LaP12 cuboctahedra that share corners with eight PCo2P2 tetrahedra and faces with eight CoP6 octahedra. There are four shorter (2.98 Å) and eight longer (3.02 Å) La–P bond lengths. There are six inequivalent Co sites. In the first Co site, Co is bonded to six P atoms to form CoP6 octahedra that share corners with six CoP6 octahedra, corners with six PCo2P2 tetrahedra, and a faceface with one LaP12 cuboctahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Co–P bond distances ranging from 2.23–2.25 Å. In the second Co site, Co is bonded to six P atoms to form CoP6 octahedra that share corners with six CoP6 octahedra and corners with twelve PCo2P2 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are five shorter (2.23 Å) and one longer (2.24 Å) Co–P bond lengths. In the third Co site, Co is bonded to six P atoms to form CoP6 octahedra that share corners with six CoP6 octahedra and corners with twelve PCo2P2 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are four shorter (2.23 Å) and two longer (2.24 Å) Co–P bond lengths. In the fourth Co site, Co is bonded to six P atoms to form CoP6 octahedra that share corners with six CoP6 octahedra, corners with four PCo2P2 tetrahedra, and faces with two equivalent LaP12 cuboctahedra. The corner-sharing octahedra tilt angles range from 60–62°. There are two shorter (2.24 Å) and four longer (2.26 Å) Co–P bond lengths. In the fifth Co site, Co is bonded to six P atoms to form CoP6 octahedra that share corners with six CoP6 octahedra and corners with ten PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are a spread of Co–P bond distances ranging from 2.22–2.24 Å. In the sixth Co site, Co is bonded to six P atoms to form CoP6 octahedra that share corners with six CoP6 octahedra and corners with twelve PCo2P2 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are three shorter (2.23 Å) and three longer (2.24 Å) Co–P bond lengths. There are twenty inequivalent P sites. In the first P site, P is bonded to two Co and two P atoms to form distorted PCo2P2 tetrahedra that share a cornercorner with one LaP12 cuboctahedra, corners with four CoP6 octahedra, and corners with seven PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 67–69°. There are one shorter (2.27 Å) and one longer (2.30 Å) P–P bond lengths. In the second P site, P is bonded to two Co and two P atoms to form distorted PCo2P2 tetrahedra that share corners with four CoP6 octahedra, corners with ten PCo2P2 tetrahedra, and an edgeedge with one PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–70°. There are one shorter (2.26 Å) and one longer (2.34 Å) P–P bond lengths. In the third P site, P is bonded to two Co and two equivalent P atoms to form distorted PCo2P2 tetrahedra that share corners with four CoP6 octahedra, corners with ten PCo2P2 tetrahedra, and an edgeedge with one PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–70°. There are one shorter (2.26 Å) and one longer (2.34 Å) P–P bond lengths. In the fourth P site, P is bonded to two Co and two P atoms to form distorted PCo2P2 tetrahedra that share corners with four CoP6 octahedra, corners with ten PCo2P2 tetrahedra, and an edgeedge with one PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–70°. The P–P bond length is 2.26 Å. In the fifth P site, P is bonded in a 2-coordinate geometry to one La, two Co, and two P atoms. The P–P bond length is 2.30 Å. In the sixth P site, P is bonded in a 2-coordinate geometry to one La, two Co, and two equivalent P atoms. There are one shorter (2.27 Å) and one longer (2.34 Å) P–P bond lengths. In the seventh P site, P is bonded to two Co and two P atoms to form distorted PCo2P2 tetrahedra that share corners with four CoP6 octahedra, corners with ten PCo2P2 tetrahedra, and an edgeedge with one PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–70°. There are one shorter (2.26 Å) and one longer (2.34 Å) P–P bond lengths. In the eighth P site, P is bonded to two Co and two P atoms to form distorted PCo2P2 tetrahedra that share corners with four CoP6 octahedra, corners with ten PCo2P2 tetrahedra, and an edgeedge with one PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–70°. There are one shorter (2.26 Å) and one longer (2.34 Å) P–P bond lengths. In the ninth P site, P is bonded to two Co and two P atoms to form distorted PCo2P2 tetrahedra that share corners with four CoP6 octahedra, corners with ten PCo2P2 tetrahedra, and an edgeedge with one PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–70°. The P–P bond length is 2.34 Å. In the tenth P site, P is bonded to two Co and two P atoms to form distorted PCo2P2 tetrahedra that share corners with four CoP6 octahedra, corners with seven PCo2P2 tetrahedra, and an edgeedge with one PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 68–70°. The P–P bond length is 2.32 Å. In the eleventh P site, P is bonded to two equivalent Co and two P atoms to form distorted PCo2P2 tetrahedra that share a cornercorner with one LaP12 cuboctahedra, corners with four equivalent CoP6 octahedra, and corners with ten PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 68–69°. There are one shorter (2.26 Å) and one longer (2.32 Å) P–P bond lengths. In the twelfth P site, P is bonded to two equivalent Co and two P atoms to form distorted PCo2P2 tetrahedra that share corners with four equivalent CoP6 octahedra, corners with ten PCo2P2 tetrahedra, and an edgeedge with one PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–70°. There are one shorter (2.26 Å) and one longer (2.34 Å) P–P bond lengths. In the thirteenth P site, P is bonded to two equivalent Co and two equivalent P atoms to form distorted PCo2P2 tetrahedra that share corners with four equivalent CoP6 octahedra, corners with ten PCo2P2 tetrahedra, and an edgeedge with one PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–70°. There are one shorter (2.26 Å) and one longer (2.34 Å) P–P bond lengths. In the fourteenth P site, P is bonded to two equivalent Co and two P atoms to form distorted PCo2P2 tetrahedra that share corners with four equivalent CoP6 octahedra, corners with ten PCo2P2 tetrahedra, and an edgeedge with one PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–70°. There are one shorter (2.26 Å) and one longer (2.33 Å) P–P bond lengths. In the fifteenth P site, P is bonded in a 2-coordinate geometry to one La, two equivalent Co, and two P atoms. There are one shorter (2.30 Å) and one longer (2.31 Å) P–P bond lengths. In the sixteenth P site, P is bonded to two equivalent Co and two P atoms to form distorted PCo2P2 tetrahedra that share a cornercorner with one LaP12 cuboctahedra, corners with four CoP6 octahedra, and corners with four PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 68–69°. In the seventeenth P site, P is bonded to two equivalent Co and two P atoms to form distorted PCo2P2 tetrahedra that share corners with four CoP6 octahedra, corners with ten PCo2P2 tetrahedra, and an edgeedge with one PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–70°. In the eighteenth P site, P is bonded to two equivalent Co and two equivalent P atoms to form distorted PCo2P2 tetrahedra that share corners with four equivalent CoP6 octahedra, corners with ten PCo2P2 tetrahedra, and an edgeedge with one PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–70°. In the nineteenth P site, P is bonded to two equivalent Co and two P atoms to form distorted PCo2P2 tetrahedra that share corners with four CoP6 octahedra, corners with ten PCo2P2 tetrahedra, and an edgeedge with one PCo2P2 tetrahedra. The corner-sharing octahedra tilt angles range from 69–70°. In the twentieth P site, P is bonded in a 2-coordinate geometry to one La, two equivalent Co, and two P atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na3CaFe4(SiO3)8 by Materials Project

Na3CaFe4(SiO3)8 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.86 Å. In the second Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.86 Å. In the third Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.90 Å. In the fourth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.38–2.90 Å. In the fifth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.86 Å. In the sixth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.40–2.87 Å. In the seventh Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.39–2.87 Å. In the eighth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.87 Å. In the ninth Na1+ site, Na1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Na–O bond distances ranging from 2.41–2.92 Å. There are three inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.84 Å. In the second Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.81 Å. In the third Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.83 Å. There are twelve inequivalent Fe+2.75+ sites. In the first Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.19 Å. In the second Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.21 Å. In the third Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.13 Å. In the fourth Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.13 Å. In the fifth Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.12 Å. In the sixth Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.23 Å. In the seventh Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.17 Å. In the eighth Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.21 Å. In the ninth Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.17 Å. In the tenth Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.20 Å. In the eleventh Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.17 Å. In the twelfth Fe+2.75+ site, Fe+2.75+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.96–2.20 Å. There are twenty-four inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–59°. There are a spread of Si–O bond distances ranging from 1.59–1.68 Å. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–59°. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–61°. There are a spread of Si–O bond distances ranging from 1.63–1.69 Å. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–60°. There is two shorter (1.62 Å) and two longer (1.68 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–59°. There is one shorter (1.61 Å) and three longer (1.66 Å) Si–O bond length. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–57°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–59°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–60°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the ninth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–59°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the tenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–59°. There are a spread of Si–O bond distances ranging from 1.63–1.68 Å. In the eleventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–59°. There are a spread of Si–O bond distances ranging from 1.59–1.68 Å. In the twelfth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the thirteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–60°. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. In the fourteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–64°. There are a spread of Si–O bond distances ranging from 1.62–1.67 Å. In the fifteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–61°. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the sixteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–61°. There is two shorter (1.62 Å) and two longer (1.68 Å) Si–O bond length. In the seventeenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–64°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the eighteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–57°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the nineteenth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 38–60°. There are a spread of Si–O bond distances ranging from 1.60–1.69 Å. In the twentieth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–59°. There are a spread of Si–O bond distances ranging from 1.60–1.68 Å. In the twenty-first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–61°. There are a spread of Si–O bond distances ranging from 1.62–1.68 Å. In the twenty-second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–58°. There are a spread of Si–O bond distances ranging from 1.61–1.68 Å. In the twenty-third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–59°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the twenty-fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range f

36 MATERIALS SCIENCE↗

Materials Data on La20Os12C13 by Materials Project

La20Os12C13 crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. there are eight inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 5-coordinate geometry to two equivalent Os2- and three C+2.77- atoms. Both La–Os bond lengths are 3.26 Å. There are a spread of La–C bond distances ranging from 2.71–3.00 Å. In the second La3+ site, La3+ is bonded in a 4-coordinate geometry to two equivalent Os2- and two C+2.77- atoms. Both La–Os bond lengths are 3.24 Å. There are one shorter (2.83 Å) and one longer (2.85 Å) La–C bond lengths. In the third La3+ site, La3+ is bonded in a 4-coordinate geometry to two Os2- and two C+2.77- atoms. There are one shorter (3.22 Å) and one longer (3.24 Å) La–Os bond lengths. There are one shorter (2.85 Å) and one longer (2.86 Å) La–C bond lengths. In the fourth La3+ site, La3+ is bonded in a 5-coordinate geometry to two Os2- and three C+2.77- atoms. There are one shorter (3.23 Å) and one longer (3.24 Å) La–Os bond lengths. There are a spread of La–C bond distances ranging from 2.72–3.02 Å. In the fifth La3+ site, La3+ is bonded in a trigonal planar geometry to three C+2.77- atoms. There are two shorter (2.65 Å) and one longer (2.66 Å) La–C bond lengths. In the sixth La3+ site, La3+ is bonded in a trigonal planar geometry to three C+2.77- atoms. All La–C bond lengths are 2.66 Å. In the seventh La3+ site, La3+ is bonded in a trigonal planar geometry to three C+2.77- atoms. All La–C bond lengths are 2.65 Å. In the eighth La3+ site, La3+ is bonded in a trigonal planar geometry to three C+2.77- atoms. There are two shorter (2.65 Å) and one longer (2.67 Å) La–C bond lengths. There are four inequivalent Os2- sites. In the first Os2- site, Os2- is bonded in a distorted bent 120 degrees geometry to two equivalent La3+ and two C+2.77- atoms. There is one shorter (1.91 Å) and one longer (1.92 Å) Os–C bond length. In the second Os2- site, Os2- is bonded in a distorted bent 120 degrees geometry to two equivalent La3+ and two C+2.77- atoms. Both Os–C bond lengths are 1.93 Å. In the third Os2- site, Os2- is bonded in a distorted bent 120 degrees geometry to two La3+ and two C+2.77- atoms. There is one shorter (1.92 Å) and one longer (1.93 Å) Os–C bond length. In the fourth Os2- site, Os2- is bonded in a distorted bent 120 degrees geometry to two La3+ and two C+2.77- atoms. Both Os–C bond lengths are 1.92 Å. There are seven inequivalent C+2.77- sites. In the first C+2.77- site, C+2.77- is bonded to four La3+ and two equivalent Os2- atoms to form a mixture of edge and corner-sharing CLa4Os2 octahedra. The corner-sharing octahedral tilt angles are 60°. In the second C+2.77- site, C+2.77- is bonded to four La3+ and two equivalent Os2- atoms to form a mixture of edge and corner-sharing CLa4Os2 octahedra. The corner-sharing octahedra tilt angles range from 60–70°. In the third C+2.77- site, C+2.77- is bonded to four La3+ and two Os2- atoms to form a mixture of edge and corner-sharing CLa4Os2 octahedra. The corner-sharing octahedra tilt angles range from 60–69°. In the fourth C+2.77- site, C+2.77- is bonded to four La3+ and two equivalent Os2- atoms to form a mixture of edge and corner-sharing CLa4Os2 octahedra. The corner-sharing octahedral tilt angles are 60°. In the fifth C+2.77- site, C+2.77- is bonded to four La3+ and two equivalent Os2- atoms to form a mixture of edge and corner-sharing CLa4Os2 octahedra. The corner-sharing octahedra tilt angles range from 1–60°. In the sixth C+2.77- site, C+2.77- is bonded to four La3+ and two Os2- atoms to form a mixture of edge and corner-sharing CLa4Os2 octahedra. The corner-sharing octahedra tilt angles range from 1–61°. In the seventh C+2.77- site, C+2.77- is bonded to six La3+ atoms to form corner-sharing CLa6 octahedra. The corner-sharing octahedra tilt angles range from 1–70°.

36 MATERIALS SCIENCE↗

Materials Data on Sr4Ca(FeO3)5 by Materials Project

Sr4Ca(FeO3)5 is (Cubic) Perovskite-derived structured and crystallizes in the tetragonal P4/m space group. The structure is three-dimensional. Sr is bonded to twelve O atoms to form SrO12 cuboctahedra that share corners with three equivalent CaO12 cuboctahedra, corners with nine equivalent SrO12 cuboctahedra, a faceface with one CaO12 cuboctahedra, faces with five equivalent SrO12 cuboctahedra, and faces with eight FeO6 octahedra. There are nine shorter (2.76 Å) and three longer (2.78 Å) Sr–O bond lengths. Ca is bonded to twelve O atoms to form CaO12 cuboctahedra that share corners with twelve equivalent SrO12 cuboctahedra, faces with two equivalent CaO12 cuboctahedra, faces with four equivalent SrO12 cuboctahedra, and faces with eight equivalent FeO6 octahedra. All Ca–O bond lengths are 2.75 Å. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra and faces with eight equivalent SrO12 cuboctahedra. The corner-sharing octahedral tilt angles are 0°. There is two shorter (1.95 Å) and four longer (1.96 Å) Fe–O bond length. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share corners with six FeO6 octahedra, faces with two equivalent CaO12 cuboctahedra, and faces with six equivalent SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 0–1°. There is four shorter (1.95 Å) and two longer (1.96 Å) Fe–O bond length. There are five inequivalent O sites. In the first O site, O is bonded to four equivalent Sr and two equivalent Fe atoms to form distorted OSr4Fe2 octahedra that share corners with twenty-two OSr4Fe2 octahedra, edges with four equivalent OSr3CaFe2 octahedra, and faces with eight equivalent OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the second O site, O is bonded to three equivalent Sr, one Ca, and two equivalent Fe atoms to form distorted OSr3CaFe2 octahedra that share corners with twenty-two OSr4Fe2 octahedra, edges with four OSr4Fe2 octahedra, and faces with eight OSr2Ca2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the third O site, O is bonded to four equivalent Sr and two Fe atoms to form distorted OSr4Fe2 octahedra that share corners with twenty-two OSr2Ca2Fe2 octahedra, edges with four OSr2Ca2Fe2 octahedra, and faces with eight OSr4Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the fourth O site, O is bonded to two equivalent Sr, two equivalent Ca, and two equivalent Fe atoms to form distorted OSr2Ca2Fe2 octahedra that share corners with twenty-two OSr4Fe2 octahedra, edges with four OSr2Ca2Fe2 octahedra, and faces with eight OSr2Ca2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°. In the fifth O site, O is bonded to four equivalent Sr and two equivalent Fe atoms to form distorted OSr4Fe2 octahedra that share corners with twenty-two OSr2Ca2Fe2 octahedra, edges with four OSr4Fe2 octahedra, and faces with eight OSr2Ca2Fe2 octahedra. The corner-sharing octahedra tilt angles range from 0–60°.

36 MATERIALS SCIENCE↗

Materials Data on NaLi3Fe4(SiO3)8 by Materials Project

NaLi3Fe4(SiO3)8 is Esseneite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.36–2.40 Å. There are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.15–2.50 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.15–2.51 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.15–2.51 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.16 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.94–2.14 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.95–2.16 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SiO4 tetrahedra and edges with two equivalent FeO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.17 Å. There are eight inequivalent Si4+ sites. In the first Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–59°. There is one shorter (1.61 Å) and three longer (1.65 Å) Si–O bond length. In the second Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–58°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the third Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–58°. There is one shorter (1.62 Å) and three longer (1.65 Å) Si–O bond length. In the fourth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There is one shorter (1.61 Å) and three longer (1.65 Å) Si–O bond length. In the fifth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the sixth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–60°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the seventh Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the eighth Si4+ site, Si4+ is bonded to four O2- atoms to form SiO4 tetrahedra that share corners with three FeO6 octahedra and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+ and two Si4+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Si4+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Fe3+, and one Si4+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Fe3+, and one Si4+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Fe3+, and one Si4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Fe3+, and one Si4+ atom. In the twenty-second O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom. In the twenty-third O2- site, O2- is bonded in a distorted T-shaped geometry to one Na1+, one Fe3+, and one Si4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Fe3+, and one Si4+ atom.

36 MATERIALS SCIENCE↗

Assessment the leaching characteristics and long-term leaching behavior of some radionuclides from synthesized zeolite cement matrix

Highlights: • Synthesis and characterization of zeolite cement synthesized from fly ash • Leaching tests were used to assess the release rate of {sup 85}Sr and {sup 60}Co radionuclides. • Simple mathematical models were used to detect leaching mechanisms. • Long-term leaching behavior of {sup 85}Sr and {sup 60}Co from cementitious matrix was assessed. The development of cementitious materials remains a vital goal to produce valuable products with good mechanical, physical and chemical properties suitable for the safe disposal of concentrated radionuclides resulted from the treatment of contaminated solutions. In this paper, zeolite cement with good properties was laboratory synthesized from industrial by-products fly ash and characterized using various characterization techniques. The leaching characteristics of strontium and cobalt radionuclides from the synthesized zeolite cement were scrutinized conforming with the standard leaching methodology of International Atomic Energy Authority (IAEA). A mechanical strength assessment was executed to characterize the extent of immobilization process of the solidified matrices. The cumulative leaching fraction (φ) of the two studied radionuclides was found to be less than 5% in all examined conditions, which implies the applicability of the IAEA-recommended methodology for estimating the diffusion coefficient. The experimental leaching data were regressed nonlinearly to various mathematical kinetic models to assess the controlling leaching mechanism and to determine the leaching parameters. The regression results indicated that strontium ({sup 85}Sr) and cobalt ({sup 60}Co) leaching resulted from two succeeding mechanisms: as first order kinetic reaction, and then diffusion. The calculated values of leachability indices signify that the performance of each of the studied matrices is within an acceptable range. A simplified mathematical model, rooted in the first order reaction and diffusion mechanisms, was simulated to predict the radionuclides leaching rates from zeolite cement matrices. By comparing the synthesized zeolite cement with other cementitious materials, it can be concluded that the synthesized material can be classified as an efficient material suitable to immobilize {sup 85}Sr and {sup 60}Co from radioactive wastes. The acquired findings demonstrated that the studied immobilized waste matrices have acceptable mechanical effectiveness.

36 MATERIALS SCIENCE↗

Additive Manufacturing of Thermal Energy Storage Composites with Microencapsulated Phase Change Materials Supported in a Multipolymer Matrix

Additive manufacturing (AM) techniques to directly integrate phase change materials (PCMs) are of interest for efficient thermal energy storage (TES) architectures. Complex, high surface-to-volume ratio composites embedded with PCM can improve thermal management with reduced material waste for customizable device fabrication. Reducing feature sizes of TES-integrated heat exchangers using AM can increase heat transfer without thermal conductivity enhancement. Here, composite AM materials containing 60 wt% microencapsulated phase change materials (MEPCM) are fabricated using off-the-shelf printers at common speeds and resolutions. High MEPCM loading in filaments is achieved with powder extrusion using two polymers, thermoplastic-polyurethane (TPU) and polycaprolactone (PCL), that mediate flexibility and rigidity for effective extrusion and printing without filament fracture or buckling. Furthermore, with PCL and TPU at 20 wt% each and 60 wt% MEPCM (P 20 T 20 M 60 ), smooth, form-stable filaments are consistently printed. Powder-based extrusion displays negligible damaging effects on the MEPCM. Printed P 20 T 20 M 60 demonstrates 105 J/g of energy storage with no degradation through 250 thermal cycles, within 5% of the theoretical storage enthalpy. Combining PCL/TPU shows good interfacial adhesion between print layers and produces high surface area objects, like 15% gyroids, and dense, 100% infilled pucks. Prints are also scalable to a 900 cm 3 honeycomb heat exchanger with an estimated 9 Wh energy storage.

25 ENERGY STORAGE↗

Enabling residential heating decarbonization through hydronic low-temperature thermal distribution using forced-air assistive devices

Space heating represents approximately one-tenth of the United States’ energy use and has a breadth of potential for emission reduction. An element of space heating, hydronic heat distribution methods, use water supply temperatures up to 82.2 °C (180 °F). However, this operating temperature can be incompatible with high-efficiency heat generation systems, which typically provide heating temperatures of up to 60 °C (140 °F). In this work, a low-cost retrofit solution is developed using experimentally validated computational tools by incorporating an airflow distributor that preferentially directs the airflow from a fan to enhance heat transfer over the finned-tube heat exchanger found in conventional baseboards. The same heat output of traditional baseboard heat distribution systems operating at higher water supply temperatures (71.1 – 82.2 °C) can also be achieved at lower temperatures (≤60 °C). Specifically, results indicate that the technology can produce more than a 46.7% improvement in the heat transfer output at temperatures as low as 60 °C (140 °F), effectively matching the same output range achieved by 71.1 – 82.2 °C (160–180 °F) water supply temperatures. An important benefit of this solution is that it utilizes the existing infrastructure as opposed to requiring the replacement of the entire distribution system. Additionally, this technology enables existing building infrastructure to be coupled with newer, high-efficiency heating systems such as condensing boilers, solar-thermal systems, and geothermal/air-to-water heat pumps that may produce lower water supply temperatures (60 °C). A geospatially resolved techno-economic and environmental analysis is completed and presented to further understand the equivalent carbon footprint of enabling higher efficiency heat generation systems with the improved efficiency heat distribution system disclosed. Using 2021 grid-average emission factors, an emission reduction of up to a 67.5% decrease (2658 kgCO 2 /yr) for a single-family home, depending on state and climate region, could be realized by replacing a traditional natural gas-fired boiler with an air-to-water heat pump coupled to the same high-temperature heat distribution system along with the low-cost retrofit solution. A complete CO 2 emission reduction of 6688 kgCO 2 /yr, depending on state and climate region, could be realized if all electricity is further renewably sourced. Thus, this study provides a possible pathway towards enabling the reduction of operational emissions in space heating.

32 ENERGY CONSERVATION, CONSUMPTION, AND UTILIZATI↗

Additive manufacturing of AISI M2 tool steel by binder jetting (BJ): Investigation of microstructural and mechanical properties

The presented research demonstrates for the first time the successful processing of AISI M2 tool steel by binder jetting, a promising additive manufacturing technique capable of producing complex shapes with minimal residual stresses and isotropic properties. The optimal printing parameters were explored by varying processing parameters such as the binder saturation (45 %–105 %), binder set time (0 to 10 s), targeted bed temperature (50–60 °C), oscillator (2600–2750 rpm), recoater (20–28 mm/s), and roller speeds (200–300 rpm). Microstructural characterization and evaluation of mechanical properties of binder jetted parts were performed using x-ray diffraction (XRD), scanning electron microscopy (SEM), and energy dispersive spectroscopy (EDS) to study their chemical composition, powder morphology, microstructure, carbide morphologies, relative density, hardness, compressive strength, and ductility. Two powder sizes (5 and 10 μm) were used, and sintering was performed at varying temperatures (1270, 1280, and 1300 °C) and durations (60 and 120 min), followed by a furnace, air, and water cooling. An optimum hardness of ~970 HV was obtained when parts were sintered at 1270 °C for 60 min, followed by water quenching. Impressive compressive strength of ~ 3580 MPa was observed in the sample sintered at 1280 °C for 60 min duration, followed by air cooling. Furnace-cooled parts showed the highest density of ~95 %, whereas the relative density of air- and water-cooled parts varied between ~91 to 93.50 %, respectively. The microstructure of sintered samples revealed the formation of M 6 C stable carbide, M 2 C metastable carbide, MC as a secondary carbide, and a-Fe matrix, which contributed to the observed increase in mechanical properties.

36 MATERIALS SCIENCE↗