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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 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 52–57°. There are two shorter (2.11 Å) and one longer (2.22 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.14–2.22 Å. In the second 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 53–60°. There are a spread of Hf–N bond distances ranging from 2.09–2.23 Å. There are one shorter (2.20 Å) and one longer (2.27 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.16 Å. Both Hf–O bond lengths are 2.26 Å. In the fourth 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 51–57°. There are one shorter (2.07 Å) and two longer (2.10 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.20–2.29 Å. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Hf–N bond distances ranging from 2.07–2.18 Å. There are a spread of Hf–O bond distances ranging from 2.15–2.26 Å. In the sixth 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 HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.15–2.18 Å. There are one shorter (2.15 Å) and one longer (2.19 Å) Hf–O bond lengths. In the seventh 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 50–56°. There are a spread of Hf–N bond distances ranging from 2.14–2.19 Å. Both Hf–O bond lengths are 2.16 Å. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Hf–N bond distances ranging from 2.07–2.17 Å. There are one shorter (2.21 Å) and one longer (2.29 Å) Hf–O bond lengths. In the ninth 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 HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are one shorter (2.08 Å) and two longer (2.13 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.10–2.29 Å. In the tenth 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 HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Hf–N bond distances ranging from 2.12–2.26 Å. There are one shorter (2.13 Å) and one longer (2.25 Å) Hf–O bond lengths. In the eleventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.14–2.26 Å. The Hf–O bond length is 2.19 Å. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.13–2.20 Å. The Hf–O bond length is 2.26 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.23 Å. The Hf–O bond length is 2.29 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Hf–N bond distances ranging from 2.11–2.26 Å. Both Hf–O bond lengths are 2.16 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.24 Å. The Hf–O bond length is 2.33 Å. In the sixteenth 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 51–55°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.22 Å) and one longer (2.25 Å) Hf–O bond lengths. 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 two OHf4 trigonal pyramids, corners with nine 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 five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, and edges with four OHf4 trigonal pyramids. In the fifth 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 OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the seventh 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 five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eighth 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 OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the ninth 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 OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the thirteenth 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 five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with two OHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fifteenth 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 three OHf4 trigonal pyramids, corners with seven 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 in a distorted rectangular see-saw-like geometry to four Hf4+ atoms. 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 OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the third 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 OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the fourth 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 three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two OHf4 trigon

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 three N3- and three O2- atoms to form a mixture of edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.06–2.18 Å. There are a spread of Hf–O bond distances ranging from 2.15–2.28 Å. In the second 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 50–55°. There are a spread of Hf–N bond distances ranging from 2.12–2.16 Å. There are a spread of Hf–O bond distances ranging from 2.11–2.24 Å. In the third Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN5O octahedra, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.06–2.10 Å. There are a spread of Hf–O bond distances ranging from 2.17–2.33 Å. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN5O octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.13–2.22 Å. There are one shorter (2.15 Å) and one longer (2.19 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. There are one shorter (2.06 Å) and two longer (2.18 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.15–2.25 Å. In the sixth 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 55–61°. There are a spread of Hf–N bond distances ranging from 2.09–2.22 Å. The Hf–O bond length is 2.37 Å. In the seventh 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 52–55°. There are a spread of Hf–N bond distances ranging from 2.07–2.17 Å. There are a spread of Hf–O bond distances ranging from 2.12–2.25 Å. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN3O3 octahedra, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Hf–N bond distances ranging from 2.15–2.19 Å. There are one shorter (2.13 Å) and one longer (2.19 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Hf–N bond distances ranging from 2.07–2.19 Å. There are one shorter (2.28 Å) and one longer (2.29 Å) Hf–O bond lengths. In the tenth 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 51–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. There are one shorter (2.13 Å) and one longer (2.21 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 50–59°. There are a spread of Hf–N bond distances ranging from 2.14–2.20 Å. There are one shorter (2.15 Å) and one longer (2.23 Å) Hf–O bond lengths. In the twelfth 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 51–61°. There are a spread of Hf–N bond distances ranging from 2.11–2.25 Å. The Hf–O bond length is 2.25 Å. 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 50–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.21 Å. The Hf–O bond length is 2.28 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to six N3- atoms to form a mixture of distorted edge and corner-sharing HfN6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Hf–N bond distances ranging from 2.14–2.28 Å. In the fifteenth 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 51–56°. There are a spread of Hf–N bond distances ranging from 2.06–2.15 Å. There are a spread of Hf–O bond distances ranging from 2.12–2.30 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Hf–N bond distances ranging from 2.14–2.20 Å. The Hf–O bond length is 2.21 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 a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six 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 tetrahedra that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the third 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 OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six 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 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixth 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 OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the seventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 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 a cornercorner with one OHf4 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the tenth 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 OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 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 OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the thirteenth 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 OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the fifteenth 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 OHf4 trigonal pyramids, corners with seven 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 distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahed

36 MATERIALS SCIENCE↗

Materials Data on Ti11BeO20 by Materials Project

BeTi11O20 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Be2+ is bonded in a trigonal planar geometry to three O2- atoms. All Be–O bond lengths are 1.61 Å. There are eleven inequivalent Ti+3.45+ sites. In the first Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 36–58°. There are a spread of Ti–O bond distances ranging from 1.91–2.12 Å. In the second Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Ti–O bond distances ranging from 1.92–2.14 Å. In the third Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of Ti–O bond distances ranging from 1.89–2.20 Å. In the fourth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There are a spread of Ti–O bond distances ranging from 1.93–2.11 Å. In the fifth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 21–54°. There are a spread of Ti–O bond distances ranging from 1.90–2.16 Å. In the sixth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of Ti–O bond distances ranging from 1.97–2.08 Å. In the seventh Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 13–57°. There are a spread of Ti–O bond distances ranging from 1.91–2.14 Å. In the eighth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–55°. There are a spread of Ti–O bond distances ranging from 1.95–2.09 Å. In the ninth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner, edge, and face-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–55°. There are a spread of Ti–O bond distances ranging from 1.88–2.10 Å. In the tenth Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of Ti–O bond distances ranging from 1.91–2.14 Å. In the eleventh Ti+3.45+ site, Ti+3.45+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 9–55°. There are a spread of Ti–O bond distances ranging from 1.94–2.17 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Be2+ and three Ti+3.45+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.45+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.45+ atoms. In the fourth O2- site, O2- is bonded in a distorted see-saw-like geometry to four Ti+3.45+ atoms. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three Ti+3.45+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.45+ atoms. In the seventh O2- site, O2- is bonded to four Ti+3.45+ atoms to form edge-sharing OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded to four Ti+3.45+ atoms to form edge-sharing OTi4 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.45+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.45+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.45+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.45+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.45+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three Ti+3.45+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Be2+ and three Ti+3.45+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.45+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Be2+ and three Ti+3.45+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted see-saw-like geometry to four Ti+3.45+ atoms. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to four Ti+3.45+ atoms. In the twentieth O2- site, O2- is bonded in a T-shaped geometry to three Ti+3.45+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O7F17 by Materials Project

Mn12O7F17 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.58+ sites. In the first Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There is one shorter (1.97 Å) and one longer (2.01 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.08–2.16 Å. In the second Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnOF5 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. The Mn–O bond length is 2.06 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.23 Å. In the third Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. Both Mn–O bond lengths are 2.02 Å. There are a spread of Mn–F bond distances ranging from 2.04–2.23 Å. In the fourth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There is one shorter (1.91 Å) and one longer (1.94 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.06–2.21 Å. In the fifth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There is one shorter (1.96 Å) and one longer (2.03 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.10–2.18 Å. In the sixth Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form a mixture of corner and edge-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. The Mn–O bond length is 2.06 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.22 Å. In the seventh Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form a mixture of corner and edge-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. The Mn–O bond length is 2.01 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.21 Å. In the eighth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There is one shorter (1.97 Å) and one longer (1.99 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 1.98–2.21 Å. In the ninth Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form a mixture of corner and edge-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. The Mn–O bond length is 2.04 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.24 Å. In the tenth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There is one shorter (1.95 Å) and one longer (2.01 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.22 Å. In the eleventh Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There is one shorter (1.99 Å) and one longer (2.00 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.25 Å. In the twelfth Mn+2.58+ site, Mn+2.58+ is bonded to three O2- and three F1- atoms to form distorted MnO3F3 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Mn–O bond distances ranging from 1.89–2.11 Å. There are a spread of Mn–F bond distances ranging from 2.03–2.60 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. There are seventeen inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the eleventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the thirteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the seventeenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Fe4O3F5 by Materials Project

Fe4O3F5 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Fe+2.75+ sites. In the first Fe+2.75+ site, Fe+2.75+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Fe–O bond distances ranging from 1.91–2.00 Å. There are a spread of Fe–F bond distances ranging from 2.06–2.24 Å. In the second Fe+2.75+ site, Fe+2.75+ is bonded to two O2- and four F1- atoms to form FeO2F4 octahedra that share corners with eight FeO2F4 octahedra and edges with two FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There is one shorter (1.92 Å) and one longer (1.99 Å) Fe–O bond length. There are a spread of Fe–F bond distances ranging from 2.04–2.07 Å. In the third Fe+2.75+ site, Fe+2.75+ is bonded to three O2- and three F1- atoms to form distorted FeO3F3 octahedra that share corners with eight FeO2F4 octahedra and edges with two FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Fe–O bond distances ranging from 1.92–1.95 Å. There are a spread of Fe–F bond distances ranging from 2.14–2.26 Å. In the fourth Fe+2.75+ site, Fe+2.75+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. Both Fe–O bond lengths are 1.90 Å. There are a spread of Fe–F bond distances ranging from 2.04–2.22 Å. In the fifth Fe+2.75+ site, Fe+2.75+ is bonded to two O2- and four F1- atoms to form FeO2F4 octahedra that share corners with eight FeO3F3 octahedra and edges with two FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 39–57°. There is one shorter (1.88 Å) and one longer (1.91 Å) Fe–O bond length. There are a spread of Fe–F bond distances ranging from 2.01–2.19 Å. In the sixth Fe+2.75+ site, Fe+2.75+ is bonded to two O2- and four F1- atoms to form FeO2F4 octahedra that share corners with eight FeO3F3 octahedra and edges with two FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are one shorter (2.04 Å) and one longer (2.05 Å) Fe–O bond lengths. There are one shorter (2.17 Å) and three longer (2.18 Å) Fe–F bond lengths. In the seventh Fe+2.75+ site, Fe+2.75+ is bonded to two O2- and four F1- atoms to form FeO2F4 octahedra that share corners with eight FeO3F3 octahedra and edges with two FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There is one shorter (1.87 Å) and one longer (1.95 Å) Fe–O bond length. There are a spread of Fe–F bond distances ranging from 2.00–2.14 Å. In the eighth Fe+2.75+ site, Fe+2.75+ is bonded to two O2- and four F1- atoms to form FeO2F4 octahedra that share corners with eight FeO3F3 octahedra and edges with two FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 46–52°. Both Fe–O bond lengths are 2.04 Å. There are a spread of Fe–F bond distances ranging from 2.09–2.17 Å. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe+2.75+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe+2.75+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Fe+2.75+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe+2.75+ atoms. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three Fe+2.75+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Fe+2.75+ atoms. There are ten inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.75+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Fe+2.75+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.75+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.75+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe+2.75+ atoms. In the sixth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe+2.75+ atoms. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to three Fe+2.75+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Fe+2.75+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.75+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Fe+2.75+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Cr4(PO4)6 by Materials Project

Li3Cr4(PO4)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.10–2.48 Å. In the second Li1+ site, Li1+ is bonded in a trigonal non-coplanar geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–1.98 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 2.07–2.46 Å. In the fourth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.50 Å. In the fifth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.64 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.51 Å. There are eight inequivalent Cr+3.75+ sites. In the first Cr+3.75+ site, Cr+3.75+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.08 Å. In the second Cr+3.75+ site, Cr+3.75+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra and edges with three CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.96–1.98 Å. In the third Cr+3.75+ site, Cr+3.75+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.91–2.07 Å. In the fourth Cr+3.75+ site, Cr+3.75+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.92–2.07 Å. In the fifth Cr+3.75+ site, Cr+3.75+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.94–2.08 Å. In the sixth Cr+3.75+ site, Cr+3.75+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra and edges with three CrO6 octahedra. There is two shorter (1.97 Å) and four longer (1.98 Å) Cr–O bond length. In the seventh Cr+3.75+ site, Cr+3.75+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.93–2.07 Å. In the eighth Cr+3.75+ site, Cr+3.75+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one CrO6 octahedra. There are a spread of Cr–O bond distances ranging from 1.94–2.09 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 34–58°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 39–55°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 38–59°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 39–59°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 37–57°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 37–56°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 37–58°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 36–57°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with four CrO6 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Cr+3.75+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr+3.75+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr+3.75+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr+3.75+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Cr+3.75+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr+3.75+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Cr+3.75+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr+3.75+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr+3.75+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr+3.75+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr+3.75+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr+3.75+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr+3.75+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr+3.75+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr+3.75+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr+3.75+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Cr+3.75+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Cr+3.75+, and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr+3.75+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr+3.75+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Cr+3.75+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Cr+3.75+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Li1+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr+3.75+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr+3.75+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Cr+3.75+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr+3.75+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr+3.75+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr+3.75+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Cr+3.75+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Cr+3.75+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Cr+3.75+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Cr+3.75+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr+3.75+ and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr+3.75+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr+3.75+ and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr+3.75+ a

36 MATERIALS SCIENCE↗

Materials Data on TbEr4Ni10(B2C)5 by Materials Project

Er4TbNi10(B2C)5 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are two inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded in a rectangular see-saw-like geometry to four C4- atoms. There are two shorter (2.48 Å) and two longer (2.50 Å) Er–C bond lengths. In the second Er3+ site, Er3+ is bonded in a square co-planar geometry to four C4- atoms. All Er–C bond lengths are 2.50 Å. Tb3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All Tb–C bond lengths are 2.52 Å. There are five inequivalent Ni+1.70+ sites. In the first Ni+1.70+ site, Ni+1.70+ is bonded to four B+1.20- atoms to form NiB4 tetrahedra that share corners with four equivalent CTb2Er2B2 octahedra, corners with four NiB4 tetrahedra, and edges with four NiB4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are three shorter (2.09 Å) and one longer (2.10 Å) Ni–B bond lengths. In the second Ni+1.70+ site, Ni+1.70+ is bonded to four B+1.20- atoms to form NiB4 tetrahedra that share corners with four CTb2Er2B2 octahedra, corners with four NiB4 tetrahedra, and edges with four NiB4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are two shorter (2.09 Å) and two longer (2.10 Å) Ni–B bond lengths. In the third Ni+1.70+ site, Ni+1.70+ is bonded to four B+1.20- atoms to form NiB4 tetrahedra that share corners with four CEr4B2 octahedra, corners with four NiB4 tetrahedra, and edges with four NiB4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are three shorter (2.09 Å) and one longer (2.10 Å) Ni–B bond lengths. In the fourth Ni+1.70+ site, Ni+1.70+ is bonded to four B+1.20- atoms to form NiB4 tetrahedra that share corners with four CEr4B2 octahedra, corners with four NiB4 tetrahedra, and edges with four NiB4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–58°. All Ni–B bond lengths are 2.09 Å. In the fifth Ni+1.70+ site, Ni+1.70+ is bonded to four B+1.20- atoms to form NiB4 tetrahedra that share corners with four CTb2Er2B2 octahedra, corners with four NiB4 tetrahedra, and edges with four NiB4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–58°. All Ni–B bond lengths are 2.09 Å. There are five inequivalent B+1.20- sites. In the first B+1.20- site, B+1.20- is bonded in a distorted single-bond geometry to four Ni+1.70+ and one C4- atom. The B–C bond length is 1.50 Å. In the second B+1.20- site, B+1.20- is bonded in a distorted single-bond geometry to four Ni+1.70+ and one C4- atom. The B–C bond length is 1.50 Å. In the third B+1.20- site, B+1.20- is bonded in a distorted single-bond geometry to four Ni+1.70+ and one C4- atom. The B–C bond length is 1.50 Å. In the fourth B+1.20- site, B+1.20- is bonded in a distorted single-bond geometry to four Ni+1.70+ and one C4- atom. The B–C bond length is 1.50 Å. In the fifth B+1.20- site, B+1.20- is bonded in a distorted single-bond geometry to four Ni+1.70+ and one C4- atom. The B–C bond length is 1.50 Å. There are three inequivalent C4- sites. In the first C4- site, C4- is bonded to two equivalent Er3+, two equivalent Tb3+, and two B+1.20- atoms to form distorted CTb2Er2B2 octahedra that share corners with four CTb2Er2B2 octahedra, corners with eight NiB4 tetrahedra, and edges with four CTb2Er2B2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second C4- site, C4- is bonded to four Er3+ and two B+1.20- atoms to form distorted CEr4B2 octahedra that share corners with four CTb2Er2B2 octahedra, corners with eight NiB4 tetrahedra, and edges with four CTb2Er2B2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the third C4- site, C4- is bonded to four equivalent Er3+ and two equivalent B+1.20- atoms to form distorted CEr4B2 octahedra that share corners with four equivalent CEr4B2 octahedra, corners with eight NiB4 tetrahedra, and edges with four CEr4B2 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on Li4V3Cu(PO4)4 by Materials Project

Li4V3Cu(PO4)4 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with four VO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one VO6 octahedra, an edgeedge with one CuO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 2.09–2.27 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two equivalent VO6 octahedra, corners with two equivalent CuO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two VO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–72°. There are a spread of Li–O bond distances ranging from 2.11–2.24 Å. There are three inequivalent V+2.33+ sites. In the first V+2.33+ site, V+2.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent VO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of V–O bond distances ranging from 2.16–2.22 Å. In the second V+2.33+ site, V+2.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent CuO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–65°. There are a spread of V–O bond distances ranging from 2.08–2.19 Å. In the third V+2.33+ site, V+2.33+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent VO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–66°. There are a spread of V–O bond distances ranging from 2.16–2.22 Å. Cu1+ is bonded to six O2- atoms to form distorted CuO6 octahedra that share corners with four equivalent LiO6 octahedra, corners with four equivalent VO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–72°. There are a spread of Cu–O bond distances ranging from 2.09–2.42 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with two VO6 octahedra, corners with two equivalent CuO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one CuO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–63°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three VO6 octahedra, an edgeedge with one VO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are twelve inequivalent O2- sites. In the first O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V+2.33+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V+2.33+, one Cu1+, and one P5+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+2.33+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Cu1+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+2.33+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V+2.33+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one V+2.33+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one V+2.33+, one Cu1+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+2.33+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+, one V+2.33+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two V+2.33+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two equivalent Li1+, one Cu1+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on SrNiRu5O11 by Materials Project

SrRu5NiO11 crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are four inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded to twelve O2- atoms to form distorted SrO12 cuboctahedra that share edges with six RuO6 octahedra, edges with three NiO5 trigonal bipyramids, and faces with six RuO6 octahedra. There are a spread of Sr–O bond distances ranging from 2.60–2.98 Å. In the second Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.55–3.06 Å. In the third Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–3.10 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 10-coordinate geometry to ten O2- atoms. There are a spread of Sr–O bond distances ranging from 2.48–3.09 Å. There are ten inequivalent Ru+3.60+ sites. In the first Ru+3.60+ site, Ru+3.60+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six RuO6 octahedra, corners with three NiO5 trigonal bipyramids, and a faceface with one RuO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are two shorter (2.03 Å) and four longer (2.04 Å) Ru–O bond lengths. In the second Ru+3.60+ site, Ru+3.60+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with four RuO6 octahedra, corners with two NiO5 trigonal bipyramids, and edges with four RuO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Ru–O bond distances ranging from 2.00–2.07 Å. In the third Ru+3.60+ site, Ru+3.60+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with four RuO6 octahedra, corners with two NiO5 trigonal bipyramids, and edges with four RuO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Ru–O bond distances ranging from 2.00–2.07 Å. In the fourth Ru+3.60+ site, Ru+3.60+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with four RuO6 octahedra, corners with two NiO5 trigonal bipyramids, and edges with four RuO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Ru–O bond distances ranging from 2.01–2.08 Å. In the fifth Ru+3.60+ site, Ru+3.60+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six RuO6 octahedra, corners with three NiO5 trigonal bipyramids, a faceface with one SrO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Ru–O bond distances ranging from 1.97–2.06 Å. In the sixth Ru+3.60+ site, Ru+3.60+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six RuO6 octahedra, corners with three NiO5 trigonal bipyramids, a faceface with one SrO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Ru–O bond distances ranging from 1.97–2.05 Å. In the seventh Ru+3.60+ site, Ru+3.60+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with six RuO6 octahedra, corners with three NiO5 trigonal bipyramids, a faceface with one SrO12 cuboctahedra, and a faceface with one RuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Ru–O bond distances ranging from 1.97–2.06 Å. In the eighth Ru+3.60+ site, Ru+3.60+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with four RuO6 octahedra, corners with two NiO5 trigonal bipyramids, an edgeedge with one SrO12 cuboctahedra, and edges with four RuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Ru–O bond distances ranging from 2.02–2.09 Å. In the ninth Ru+3.60+ site, Ru+3.60+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with four RuO6 octahedra, corners with two NiO5 trigonal bipyramids, an edgeedge with one SrO12 cuboctahedra, and edges with four RuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Ru–O bond distances ranging from 2.02–2.09 Å. In the tenth Ru+3.60+ site, Ru+3.60+ is bonded to six O2- atoms to form RuO6 octahedra that share corners with four RuO6 octahedra, corners with two NiO5 trigonal bipyramids, an edgeedge with one SrO12 cuboctahedra, and edges with four RuO6 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Ru–O bond distances ranging from 2.01–2.09 Å. There are four inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share corners with twelve RuO6 octahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Ni–O bond distances ranging from 1.94–2.27 Å. In the second Ni2+ site, Ni2+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share corners with twelve RuO6 octahedra and an edgeedge with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of Ni–O bond distances ranging from 1.89–2.19 Å. In the third Ni2+ site, Ni2+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share corners with twelve RuO6 octahedra and an edgeedge with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of Ni–O bond distances ranging from 1.89–2.20 Å. In the fourth Ni2+ site, Ni2+ is bonded to five O2- atoms to form NiO5 trigonal bipyramids that share corners with twelve RuO6 octahedra and an edgeedge with one SrO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 38–57°. There are a spread of Ni–O bond distances ranging from 1.89–2.20 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to three Ru+3.60+ and one Ni2+ atom to form distorted corner-sharing ONiRu3 tetrahedra. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ru+3.60+ and one Ni2+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ru+3.60+ and one Ni2+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Ru+3.60+ and one Ni2+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three Ru+3.60+ atoms. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three Ru+3.60+ atoms. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three Ru+3.60+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and three Ru+3.60+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and three Ru+3.60+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and three Ru+3.60+ atoms. In the eleventh O2- site, O2- is bonded to one Sr2+ and three Ru+3.60+ atoms to form distorted corner-sharing OSrRu3 tetrahedra. In the twelfth O2- site, O2- is bonded to one Sr2+ and three Ru+3.60+ atoms to form distorted corner-sharing OSrRu3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+ and three Ru+3.60+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Sr2+ and three Ru+3.60+ atoms. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and three Ru+3.60+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Sr2+ and three Ru+3.60+ atoms. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+, two equivalent Ru+3.60+, and one Ni2+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+, two equivalent Ru+3.60+, and one Ni2+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Sr2+, two equivalent Ru+3.60+, and one Ni2+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two equivalent Ru+3.60+, and one Ni2+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two equivalent Ru+3.60+, and one Ni2+ atom. In the twenty-second O2- site, O2- is bonded to one Sr2+, two equivalent Ru+3.60+, and one Ni2+ atom to form distorted corner-sharing OSrNiRu2 tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two equivalent Ru+3.60+, and one Ni2+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two equivalent Ru+3.60+, and one Ni2+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two equivalent Ru+3.60+, and one Ni2+ atom. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Sr2+, two equivalent Ru+3.60+, and one Ni2+ atom. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to two Sr2+, two equivalent Ru+3.60+, and one Ni2+ atom. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to two Sr2+, two equivalent Ru+3.60+, and one Ni2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba8Ca5Mn3Fe8F56 by Materials Project

Ba8Ca5Mn3Fe8F56 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.70–3.22 Å. In the second Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.71–3.23 Å. In the third Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.65–3.21 Å. In the fourth Ba2+ site, Ba2+ is bonded in a 11-coordinate geometry to eleven F1- atoms. There are a spread of Ba–F bond distances ranging from 2.71–3.23 Å. There are three inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Ca–F bond distances ranging from 2.23–2.65 Å. In the second Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight F1- atoms. There are a spread of Ca–F bond distances ranging from 2.26–2.64 Å. In the third Ca2+ site, Ca2+ is bonded to six F1- atoms to form CaF6 octahedra that share corners with four equivalent FeF6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Ca–F bond distances ranging from 2.21–2.32 Å. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with four FeF6 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Mn–F bond distances ranging from 2.08–2.27 Å. In the second Mn2+ site, Mn2+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with four equivalent FeF6 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Mn–F bond distances ranging from 2.08–2.26 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share corners with two equivalent MnF6 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Fe–F bond distances ranging from 1.92–2.01 Å. In the second Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share corners with two equivalent MnF6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Fe–F bond distances ranging from 1.92–2.01 Å. In the third Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share corners with two equivalent CaF6 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Fe–F bond distances ranging from 1.92–2.00 Å. In the fourth Fe3+ site, Fe3+ is bonded to six F1- atoms to form FeF6 octahedra that share corners with two equivalent MnF6 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Fe–F bond distances ranging from 1.92–2.00 Å. There are twenty-eight inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to one Ba2+, one Mn2+, and one Fe3+ atom. In the second F1- site, F1- is bonded in a 3-coordinate geometry to one Ba2+, one Mn2+, and one Fe3+ atom. In the third F1- site, F1- is bonded in a 3-coordinate geometry to one Ba2+, one Ca2+, and one Fe3+ atom. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to one Ba2+, one Mn2+, and one Fe3+ atom. In the fifth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+, one Ca2+, and one Fe3+ atom. In the sixth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+, one Ca2+, and one Fe3+ atom. In the seventh F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+, one Ca2+, and one Fe3+ atom. In the eighth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+, one Ca2+, and one Fe3+ atom. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to one Ba2+, one Ca2+, and one Fe3+ atom. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to one Ba2+, one Ca2+, and one Fe3+ atom. In the eleventh F1- site, F1- is bonded in a 3-coordinate geometry to one Ba2+, one Ca2+, and one Fe3+ atom. In the twelfth F1- site, F1- is bonded in a 3-coordinate geometry to one Ba2+, one Ca2+, and one Fe3+ atom. In the thirteenth F1- site, F1- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one Mn2+, and one Fe3+ atom. In the fourteenth F1- site, F1- is bonded in a 2-coordinate geometry to two equivalent Ba2+, one Ca2+, and one Fe3+ atom. In the fifteenth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+, one Mn2+, and one Fe3+ atom. In the sixteenth F1- site, F1- is bonded in a 2-coordinate geometry to two Ba2+, one Mn2+, and one Fe3+ atom. In the seventeenth F1- site, F1- is bonded in a distorted single-bond geometry to two equivalent Ba2+ and one Fe3+ atom. In the eighteenth F1- site, F1- is bonded in a distorted single-bond geometry to two equivalent Ba2+ and one Fe3+ atom. In the nineteenth F1- site, F1- is bonded in a distorted single-bond geometry to two equivalent Ba2+ and one Fe3+ atom. In the twentieth F1- site, F1- is bonded in a distorted single-bond geometry to two equivalent Ba2+ and one Fe3+ atom. In the twenty-first F1- site, F1- is bonded in a distorted single-bond geometry to two Ba2+, one Ca2+, and one Fe3+ atom. In the twenty-second F1- site, F1- is bonded in a distorted single-bond geometry to two Ba2+, one Ca2+, and one Fe3+ atom. In the twenty-third F1- site, F1- is bonded in a distorted single-bond geometry to two Ba2+, one Ca2+, and one Fe3+ atom. In the twenty-fourth F1- site, F1- is bonded in a distorted single-bond geometry to two Ba2+, one Ca2+, and one Fe3+ atom. In the twenty-fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Ba2+ and two Ca2+ atoms. In the twenty-sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Ba2+, one Ca2+, and one Mn2+ atom. In the twenty-seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to one Ba2+, one Ca2+, and one Mn2+ atom. In the twenty-eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Ba2+, one Ca2+, and one Mn2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Er4LuNi10(B2C)5 by Materials Project

LuEr4Ni10(B2C)5 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Lu3+ is bonded in a square co-planar geometry to four equivalent C4- atoms. All Lu–C bond lengths are 2.46 Å. There are two inequivalent Er3+ sites. In the first Er3+ site, Er3+ is bonded in a square co-planar geometry to four C4- atoms. There are two shorter (2.47 Å) and two longer (2.48 Å) Er–C bond lengths. In the second Er3+ site, Er3+ is bonded in a rectangular see-saw-like geometry to four C4- atoms. There are two shorter (2.48 Å) and two longer (2.49 Å) Er–C bond lengths. There are five inequivalent Ni+1.70+ sites. In the first Ni+1.70+ site, Ni+1.70+ is bonded to four B+1.20- atoms to form NiB4 tetrahedra that share corners with four CEr4B2 octahedra, corners with four NiB4 tetrahedra, and edges with four NiB4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. All Ni–B bond lengths are 2.08 Å. In the second Ni+1.70+ site, Ni+1.70+ is bonded to four B+1.20- atoms to form NiB4 tetrahedra that share corners with four CEr4B2 octahedra, corners with four NiB4 tetrahedra, and edges with four NiB4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–58°. All Ni–B bond lengths are 2.08 Å. In the third Ni+1.70+ site, Ni+1.70+ is bonded to four B+1.20- atoms to form NiB4 tetrahedra that share corners with four CEr4B2 octahedra, corners with four NiB4 tetrahedra, and edges with four NiB4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–58°. All Ni–B bond lengths are 2.08 Å. In the fourth Ni+1.70+ site, Ni+1.70+ is bonded to four B+1.20- atoms to form NiB4 tetrahedra that share corners with four CEr4B2 octahedra, corners with four NiB4 tetrahedra, and edges with four NiB4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. All Ni–B bond lengths are 2.08 Å. In the fifth Ni+1.70+ site, Ni+1.70+ is bonded to four B+1.20- atoms to form NiB4 tetrahedra that share corners with four CEr4B2 octahedra, corners with four NiB4 tetrahedra, and edges with four NiB4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. All Ni–B bond lengths are 2.08 Å. There are five inequivalent B+1.20- sites. In the first B+1.20- site, B+1.20- is bonded in a distorted single-bond geometry to four Ni+1.70+ and one C4- atom. The B–C bond length is 1.48 Å. In the second B+1.20- site, B+1.20- is bonded in a distorted single-bond geometry to four Ni+1.70+ and one C4- atom. The B–C bond length is 1.48 Å. In the third B+1.20- site, B+1.20- is bonded in a distorted single-bond geometry to four Ni+1.70+ and one C4- atom. The B–C bond length is 1.48 Å. In the fourth B+1.20- site, B+1.20- is bonded in a distorted single-bond geometry to four Ni+1.70+ and one C4- atom. The B–C bond length is 1.48 Å. In the fifth B+1.20- site, B+1.20- is bonded in a distorted single-bond geometry to four Ni+1.70+ and one C4- atom. The B–C bond length is 1.48 Å. There are three inequivalent C4- sites. In the first C4- site, C4- is bonded to four Er3+ and two B+1.20- atoms to form distorted CEr4B2 octahedra that share corners with four CEr2Lu2B2 octahedra, corners with eight NiB4 tetrahedra, and edges with four CEr4B2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the second C4- site, C4- is bonded to two equivalent Lu3+, two equivalent Er3+, and two B+1.20- atoms to form distorted CEr2Lu2B2 octahedra that share corners with four CEr4B2 octahedra, corners with eight NiB4 tetrahedra, and edges with four CEr4B2 octahedra. The corner-sharing octahedral tilt angles are 0°. In the third C4- site, C4- is bonded to four equivalent Er3+ and two equivalent B+1.20- atoms to form distorted CEr4B2 octahedra that share corners with four equivalent CEr4B2 octahedra, corners with eight NiB4 tetrahedra, and edges with four CEr4B2 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on Li2FeCo3O8 by Materials Project

Li2FeCo3O8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Li–O bond distances ranging from 1.93–1.96 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.93–1.95 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 1.94–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.93–1.96 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.92–1.97 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Li–O bond distances ranging from 1.92–1.97 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Li–O bond distances ranging from 1.93–1.97 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.91–1.98 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 LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.88–1.94 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.91–1.94 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.97–2.07 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.89–1.96 Å. There are twelve inequivalent Co+3.67+ sites. In the first Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.94 Å. In the second Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CoO6 octahedra. There is two shorter (1.89 Å) and four longer (1.91 Å) Co–O bond length. In the third Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–1.94 Å. In the fourth Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.93 Å. In the fifth Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.93 Å. In the sixth Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.94 Å. In the seventh Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.85–1.94 Å. In the eighth Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–1.94 Å. In the ninth Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.93 Å. In the tenth Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.87–1.92 Å. In the eleventh Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.96 Å. In the twelfth Co+3.67+ site, Co+3.67+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–1.94 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co+3.67+ atoms to form distorted OLiFeCo2 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with ten OLiFeCo2 trigonal pyramids, an edgeedge with one OLiFeCo2 tetrahedra, and an edgeedge with one OLiFeCo2 trigonal pyramid. In the second O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co+3.67+ atoms to form a mixture of distorted corner and edge-sharing OLiFeCo2 tetrahedra. In the third O2- site, O2- is bonded to one Li1+ and three Co+3.67+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with eight OLiFeCo2 trigonal pyramids, and edges with three OLiFeCo2 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co+3.67+ atoms to form a mixture of distorted corner and edge-sharing OLiFeCo2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co+3.67+ atoms to form distorted OLiFeCo2 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with ten OLiFeCo2 trigonal pyramids, and edges with three OLiCo3 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Co+3.67+ atoms to form distorted OLiCo3 trigonal pyramids that share a cornercorner with one OLiFeCo2 tetrahedra, corners with eight OLiCo3 trigonal pyramids, and edges with three OLiFeCo2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co+3.67+ atoms to form distorted OLiFeCo2 trigonal pyramids that share a cornercorner with one OLiFeCo2 tetrahedra, corners with ten OLiCo3 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiFeCo2 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co+3.67+ atoms to form distorted OLiFeCo2 trigonal pyramids that share corners with three OLiCo3 tetrahedra, corners with nine OLiFeCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiFeCo2 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co+3.67+ atoms to form distorted OLiFeCo2 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with six OLiFeCo2 trigonal pyramids, and edges with three OLiFeCo2 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co+3.67+ atoms to form distorted OLiFeCo2 trigonal pyramids that share a cornercorner with one OLiCo3 tetrahedra, corners with eight OLiCo3 trigonal pyramids, and edges with three OLiFeCo2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+ and three Co+3.67+ atoms to form distorted OLiCo3 tetrahedra that share a cornercorner with one OLiCo3 tetrahedra, corners with nine OLiFeCo2 trigonal pyramids, and edges with three OLiFeCo2 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Co+3.67+ atoms. In the thirteenth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co+3.67+ atoms to form distorted OLiFeCo2 trigonal pyramids that share corners with three OLiCo3 tetrahedra, corners with seven OLiFeCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiFeCo2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Co+3.67+ atoms to form distorted OLiCo3 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with ten OLiFeCo2 trigonal pyramids, and an edgeedge with one OLiFeCo2 trigonal pyramid. In the fifteenth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co+3.67+ atoms to form distorted OLiFeCo2 trigonal pyramids that share corners with three OLiCo3 tetrahedra, corners with nine OLiFeCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiFeCo2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co+3.67+ atoms to form distorted OLiFeCo2 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with seven OLiFeCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiFeCo2 trigonal pyramids. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Fe3+, and two Co+3.67+ atoms. In the eighteenth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co+3.67+ atoms to form distorted OLiFeCo2 trigonal pyramids that share corners with three OLiCo3 tetrahedra, corners with seven OLiFeCo2 trigonal pyramids, and an edgeedge with one OLiCo3 trigonal pyramid. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Co+3.67+ atoms to form distorted OLiCo3 tetrahedra that share corners with three OLiCo3 tetrahedra, corners with seven OLiFeCo2 trigonal pyramids, and edges with three OLiFeCo2 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+, one Fe3+, and two Co+3.67+ atoms to form distorted OLiFeCo2 trigonal pyramids that share corners with two OLiCo3 tetrahedra, corners with eight OLiFeCo2 trigonal pyramids, edges with two OLiFeCo2 tetrahedra, and an edgeedge with one OLiFeCo2 trigonal pyramid. In the twenty-fir

36 MATERIALS SCIENCE↗

Study of C-coated LiFe{sub 0.33}Mn{sub 0.67}PO{sub 4} as positive electrode material for Li-ion batteries

Commercial C-LiFe{sub 0.33}Mn{sub 0.67}PO{sub 4} positive electrode material has been investigated by {sup 57}Fe Moessbauer Spectroscopy (MS), X-ray Photoelectron Spectroscopy (XPS) and X-ray Absorption Spectroscopy (XAS). The combined use of these experimental techniques provides a better understanding of the electrochemical reaction involved during cycling. {sup 57}Fe MS is very efficient to directly follow oxidation state of Fe in the electrode, and gives surprisingly indirect information on the oxidation state of Mn as observed by XAS and XPS. The electrochemical mechanism is proposed based from in situ and operando investigations using both MS and XAS, and is consistent with XPS surface studies. XPS analysis of the electrodes at the end of charge (4.4 V) reveals enhanced electrode/electrolyte interface reactivity at this high potential. Aging of C-LiFe{sub 0.33}Mn{sub 0.67}PO{sub 4}/Li cells after 50 cycles at 60 Degree-Sign C indicates a rather good electrochemical behavior (low capacity fading) of the electrode material. Both {sup 57}Fe MS and XPS (Mn 2p and Fe 2p) clearly show no modification on Fe and Mn oxidation state compared to fresh electrode confirming the good electrochemical performances. - Graphical abstrct: Quantitative evaluation of the Fe{sup 3+} and Mn{sup 3+} content during the first charge/discharge cycle obtained from K-edge XANES spectra of C-LiFe{sub 0.33}Mn{sub 0.67}PO{sub 4} recorded upon cell operation at RT with C/10 rate. During the charge co-existence of Fe and Mn oxidation is observed between points 2 and 4 of the potential curve. At the end of the charge the cut-off voltage limits the oxidation at about 93%. Highlights: Black-Right-Pointing-Pointer C-LiFe{sub 0.33}Mn{sub 0.67}PO{sub 4} electrode material upon cycling vs. metallic lithium. Black-Right-Pointing-Pointer {sup 57}Fe Moessbauer spectroscopy is a (in)direct probe for Fe(Mn) oxidation state. Black-Right-Pointing-Pointer Both K-Fe and K-Mn edges XAS show a simultaneous oxidation of Fe{sup 2+} and Mn{sup 2+} in a small range of compositions. Black-Right-Pointing-Pointer Surface analysis from XPS allows reveals slight differences at the surface of the electrode with respect to the bulk.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗

Evaluation of Neutron Reactions on Iron Isotopes for CIELO and ENDF/B-VIII.0

A new suite of evaluations for {sup 54,56,57,58}Fe has been developed in the framework of the CIELO international collaboration. New resolved resonance ranges were evaluated for {sup 54}Fe and {sup 57}Fe, while modifications were applied to resonances in {sup 56}Fe. The low energy part of the {sup 56}Fe file is almost totally based on measurements. At higher energies in {sup 56}Fe and in the whole fast neutron range for minor isotopes the evaluation consists of model predictions carefully adjusted to available experimental data. We also make use of the high quality and well experimentally-constrained dosimetry evaluations from the IRDFF library. Special attention was dedicated to the elastic angular distributions, which were found to affect results of the integral benchmarking. The new set of iron evaluations was developed in concert with other CIELO evaluations and they were tested together in the integral experiments before being adopted for the ENDF/B-VIII.0 library.

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗

Interface magnetism of Co{sub 2}FeGe Heusler alloy layers and magnetoresistance of Co{sub 2}FeGe/MgO/Fe magnetic tunnel junctions

The interface magnetism between Co{sub 2}FeGe Heusler alloy layers and MgO layers was investigated using {sup 57}Fe Mössbauer spectroscopy. Interface-sensitive samples, where the {sup 57}Fe isotope was used only for the interfacial atomic layer of the Co{sub 2}FeGe layer on the MgO layer, were prepared using atomically controlled alternate deposition. The {sup 57}Fe Mössbauer spectra of the interface-sensitive samples at room temperature were found similar to those of the bulk-sensitive Co{sub 2}FeGe films in which the {sup 57}Fe isotope was distributed throughout the films. On the other hand, the tunnel magnetoresistance effect of magnetic tunnel junctions with Co{sub 2}FeGe layers as the ferromagnetic electrodes showed strong reduction at room temperature. These results indicate that the strong temperature dependence of the tunneling magnetoresistance of magnetic tunnel junctions using Heusler alloy electrodes cannot be attributed simply to the reduction of the magnetization at the interfaces between the Heusler alloy and insulator layers.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Phase II Trial of Radiotherapy After Hyperbaric Oxygenation With Multiagent Chemotherapy (Procarbazine, Nimustine, and Vincristine) for High-Grade Gliomas: Long-Term Results

Purpose: To analyze the long-term results of a Phase II trial of radiotherapy given immediately after hyperbaric oxygenation (HBO) with multiagent chemotherapy in adults with high-grade gliomas. Methods and Materials: Patients with histologically confirmed high-grade gliomas were administered radiotherapy in daily 2 Gy fractions for 5 consecutive days per week up to a total dose of 60 Gy. Each fraction was administered immediately after HBO, with the time interval from completion of decompression to start of irradiation being less than 15 minutes. Chemotherapy consisting of procarbazine, nimustine, and vincristine and was administered during and after radiotherapy. Results: A total of 57 patients (39 patients with glioblastoma and 18 patients with Grade 3 gliomas) were enrolled from 2000 to 2006, and the median follow-up of 12 surviving patients was 62.0 months (range, 43.2-119.1 months). All 57 patients were able to complete a total radiotherapy dose of 60 Gy immediately after HBO with one course of concurrent chemotherapy. The median overall survival times in all 57 patients, 39 patients with glioblastoma and 18 patients with Grade 3 gliomas, were 20.2 months, 17.2 months, and 113.4 months, respectively. On multivariate analysis, histologic grade alone was a significant prognostic factor for overall survival (p < 0.001). During treatments, no patients had neutropenic fever or intracranial hemorrhage, and no serious nonhematologic or late toxicities were seen in any of the 57 patients. Conclusions: Radiotherapy delivered immediately after HBO with multiagent chemotherapy was safe, with virtually no late toxicities, and seemed to be effective in patients with high-grade gliomas.

62 RADIOLOGY AND NUCLEAR MEDICINE↗

Natural nickel as a proton beam energy monitor for energies ranging from 15 to 30 MeV

The degradation of proton beam energy within a target stack was monitored via product nuclide ratios at the Los Alamos Isotope Production Facility (LANL-IPF). Nuclear reaction channels employed as energy monitors included Nat Ni(p,x) 57 Co and Nat Ni(p,x) 57 Ni. Natural nickel foils (thicknesses 0.025 mm) were used to determine proton beam energies ranging from 15 to 30 MeV. Energy values were estimated from a fitted 57 Ni/ 57 Co production activity ratio curve, which, in turn, was calculated from formation cross section data. Isotope production yields in the low energy “C” slot at LANL-IPF are very sensitive to beam energy, and differences of several MeV can translate into a drastic effect on overall production yields and radiochemical purity. Furthermore proton energies determined in this target stack position using nickel foils will serve as a basis to optimize radionuclide production in terms of product yield maximization and by-product minimization.

46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND ↗

Sterically Stabilized Terminal Hydride of a Diiron Dithiolate

In this work, the kinetically robust hydride [ t -HFe 2 (Me 2 pdt)(CO) 2 (dppv) 2 ] + ([ t -H 1 ] + ) (Me 2 pdt 2– = Me 2 C(CH 2 S – ) 2 ; dppv = cis -1,2-C 2 H 2 (PPh 2 ) 2 ) and related derivatives were prepared with 57 Fe enrichment for characterization by NMR, FT-IR, and NRVS. The experimental results were rationalized using DFT molecular modeling and spectral simulations. The spectroscopic analysis was aimed at supporting assignments of Fe–H vibrational spectra as they relate to recent measurements on [FeFe]-hydrogenase enzymes. The combination of bulky Me 2 pdt 2– and dppv ligands stabilizes the terminal hydride with respect to its isomerization to the 5–16 kcal/mol more stable bridging hydride ([μ-H 1 ] + ) with t 1/2 (313.3 K) = 19.3 min. In agreement with the nOe experiments, the calculations predict that one methyl group in [ t -H 1 ] + interacts with the hydride with a computed CH···HFe distance of 1.7 Å. Although [ t -H 57 1 ] + exhibits multiple NRVS features in the 720–800 cm –1 region containing the bending Fe–H modes, the deuterated [ t -D 57 1 ] + sample exhibits a unique Fe-D/CO band at ~600 cm –1 . In contrast, the NRVS spectra for [μ-H 57 1 ] + exhibit weaker bands near 670–700 cm –1 produced by the Fe–H–Fe wagging modes coupled to Me 2 pdt 2– and dppv motions.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗