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Materials Data on Li5La3Nb2O12 by Materials Project

Li5La3Nb2O12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.60 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.58 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two NbO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with two NbO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Li–O bond distances ranging from 1.92–2.53 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.60 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.58 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two NbO6 octahedra, edges with two LiO6 octahedra, and edges with two NbO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Li–O bond distances ranging from 1.93–2.47 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.59 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.54 Å. In the ninth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.61 Å. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.59 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two NbO6 octahedra, edges with two LiO6 octahedra, and edges with two NbO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Li–O bond distances ranging from 1.93–2.49 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two NbO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with two NbO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Li–O bond distances ranging from 1.94–2.52 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.74 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two NbO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with two NbO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Li–O bond distances ranging from 1.96–2.56 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two NbO6 octahedra, an edgeedge with one LiO6 octahedra, and edges with two NbO6 octahedra. The corner-sharing octahedra tilt angles range from 4–6°. There are a spread of Li–O bond distances ranging from 1.94–2.45 Å. In the sixteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.76 Å. In the seventeenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.57 Å. In the eighteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two NbO6 octahedra, edges with two LiO6 octahedra, and edges with two NbO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Li–O bond distances ranging from 1.95–2.59 Å. In the nineteenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.75 Å. In the twentieth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.73 Å. There are twelve inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.45–2.64 Å. In the second La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.41–2.65 Å. In the third La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.46–2.66 Å. In the fourth La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.44–2.63 Å. In the fifth La3+ site, La3+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.47–2.58 Å. In the sixth La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.45–2.67 Å. In the seventh La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.43–2.65 Å. In the eighth La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.45–2.63 Å. In the ninth La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.42–2.71 Å. In the tenth La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.48–2.67 Å. In the eleventh La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.46–2.64 Å. In the twelfth La3+ site, La3+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of La–O bond distances ranging from 2.43–2.69 Å. There are eight inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share an edgeedge with one LiO6 octahedra. There are a spread of Nb–O bond distances ranging from 1.98–2.08 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share edges with three LiO6 octahedra. There are a spread of Nb–O bond distances ranging from 1.99–2.05 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three LiO6 octahedra and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–6°. There are a spread of Nb–O bond distances ranging from 1.99–2.08 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two LiO6 octahedra and edges with two LiO6 octahedra. The corner-sharing octahedral tilt angles are 2°. There are a spread of Nb–O bond distances ranging from 2.02–2.07 Å. In the fifth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two LiO6 octahedra and edges with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Nb–O bond distances ranging from 2.00–2.08 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two LiO6 octahedra and edges with three LiO6 octahedra. The corner-sharing octahedra tilt angles range from 4–8°. There are a spread of Nb–O bond distances ranging from 1.98–2.08 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three LiO6 octahedra and an edgeedge with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Nb–O bond distances ranging from 2.01–2.09 Å. In the eighth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–6°. There are a spread of Nb–O bond distances ranging from 1.97–2.11 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the second O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the third O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two La3+, and one Nb5+ atom. In the fourth O2- site, O2- is bonded to three Li1+, two La3+, and one Nb5+ atom to form distorted corner-sharing OLi3La2Nb octahedra. The corner-sharing octahedral tilt angles are 20°. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the sixth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the ninth O2- site, O2- is bonded to three Li1+, two La3+, and one Nb5+ atom to form a mixture of distorted corner and edge-sharing OLi3La2Nb octahedra. The corner-sharing octahedra tilt angles range from 20–57°. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two La3+, and one Nb5+ atom. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two La3+, and one Nb5+ atom. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the sixteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the seventeenth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the nineteenth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the twentieth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two La3+, and one Nb5+ atom. In the twenty-first O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the twenty-second O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the twenty-third O2- site, O2- is bonded to three Li1+, two La3+, and one Nb5+ atom to form distorted OLi3La2Nb octahedra that share a cornercorner with one OLi3La2Nb octahedra, a cornercorner with one OLiLa2Nb tetrahedra, and a faceface with one OLi3La2Nb octahedra. The corner-sharing octahedral tilt angles are 57°. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two La3+, and one Nb5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Li1+, two La3+, and one Nb5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 6-coordinate geometry to three Li1+, two La3+, and one Nb5+ atom. In the twenty-seven

36 MATERIALS SCIENCE↗

Materials Data on Dy2P4O13 by Materials Project

Dy2P4O13 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one DyO6 octahedra. There are a spread of Dy–O bond distances ranging from 2.21–2.38 Å. In the second Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one DyO6 octahedra. There are a spread of Dy–O bond distances ranging from 2.16–2.39 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 DyO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 19–45°. There are a spread of P–O bond distances ranging from 1.50–1.62 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four DyO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–57°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four DyO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 7–57°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent DyO6 octahedra and corners with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 24–35°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Dy3+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the third O2- site, O2- is bonded in a linear geometry to one Dy3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Dy3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Dy3+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Dy3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Dy3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Dy3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Dy3+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a linear geometry to one Dy3+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Dy3+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six 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 2.09–2.18 Å. There are one shorter (2.25 Å) and one longer (2.26 Å) Hf–O bond lengths. In the second 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 52–56°. There are a spread of Hf–N bond distances ranging from 2.09–2.16 Å. There are one shorter (2.28 Å) and one longer (2.33 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.09–2.21 Å. There are one shorter (2.12 Å) and two longer (2.19 Å) Hf–O bond lengths. In the fourth 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 51–57°. There are a spread of Hf–N bond distances ranging from 2.13–2.27 Å. There are one shorter (2.11 Å) and one longer (2.24 Å) Hf–O bond lengths. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.09–2.17 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.22 Å. In the sixth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Hf–N bond distances ranging from 2.08–2.12 Å. There are a spread of Hf–O bond distances ranging from 2.19–2.27 Å. In the seventh 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 51–58°. All Hf–N bond lengths are 2.10 Å. There are a spread of Hf–O bond distances ranging from 2.21–2.24 Å. In the eighth 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 53–57°. There are a spread of Hf–N bond distances ranging from 2.09–2.16 Å. There are one shorter (2.24 Å) and one longer (2.26 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 49–55°. There are a spread of Hf–N bond distances ranging from 2.11–2.20 Å. There are two shorter (2.14 Å) and one longer (2.19 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.22 Å. The Hf–O bond length is 2.33 Å. In the eleventh 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 52–55°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. There are one shorter (2.21 Å) and one longer (2.29 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 52–55°. There are a spread of Hf–N bond distances ranging from 2.13–2.27 Å. The Hf–O bond length is 2.21 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 51–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.29 Å. The Hf–O bond length is 2.20 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 HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Hf–N bond distances ranging from 2.12–2.20 Å. There are one shorter (2.14 Å) and one longer (2.21 Å) Hf–O bond lengths. In the fifteenth 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 51–56°. There are a spread of Hf–N bond distances ranging from 2.12–2.23 Å. The Hf–O bond length is 2.25 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 51–59°. There are a spread of Hf–N bond distances ranging from 2.10–2.23 Å. The Hf–O bond length is 2.27 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 three OHf4 trigonal pyramids, corners with eight 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 second 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 four OHf4 trigonal pyramids, corners with five 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 tetrahedra that share corners with three OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 tetrahedra, 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 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 fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 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 sixth 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 four OHf4 trigonal pyramids, corners with five 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, a cornercorner with one OHf4 tetrahedra, corners with four 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, a cornercorner with one OHf4 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 ninth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, and edges with four 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, a cornercorner with one OHf4 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 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 OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four 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 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 three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, and edges with three 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 OHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four 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 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, and edges with four NHf4 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 tetrahedra, a cornercorner with one OHf4 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 third O2- site, O2- is bonded to fo

36 MATERIALS SCIENCE↗

Materials Data on Fe10O11F9 by Materials Project

Fe10O11F9 is Hydrophilite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Fe sites. In the first Fe site, Fe is bonded to three O and three F atoms to form FeO3F3 octahedra that share corners with eight FeO3F3 octahedra and edges with two FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Fe–O bond distances ranging from 1.92–1.98 Å. There are a spread of Fe–F bond distances ranging from 2.05–2.15 Å. In the second Fe site, Fe is bonded to four O and two F atoms to form FeO4F2 octahedra that share corners with eight FeO4F2 octahedra and edges with two FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–54°. There are a spread of Fe–O bond distances ranging from 1.91–1.99 Å. There are one shorter (2.09 Å) and one longer (2.10 Å) Fe–F bond lengths. In the third Fe site, Fe is bonded to three O and three F atoms to form FeO3F3 octahedra that share corners with eight FeO3F3 octahedra and edges with two FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There is two shorter (1.93 Å) and one longer (1.96 Å) Fe–O bond length. There are a spread of Fe–F bond distances ranging from 2.09–2.15 Å. In the fourth Fe site, Fe is bonded to three O and three F atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There is one shorter (1.93 Å) and two longer (1.94 Å) Fe–O bond length. There are a spread of Fe–F bond distances ranging from 2.12–2.16 Å. In the fifth Fe site, Fe is bonded to three O and three F atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There is one shorter (1.93 Å) and two longer (1.94 Å) Fe–O bond length. There are one shorter (2.13 Å) and two longer (2.15 Å) Fe–F bond lengths. In the sixth Fe site, Fe is bonded to four O and two F atoms to form a mixture of edge and corner-sharing FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Fe–O bond distances ranging from 1.96–1.99 Å. There are one shorter (2.14 Å) and one longer (2.22 Å) Fe–F bond lengths. In the seventh Fe site, Fe is bonded to three O and three F atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There is two shorter (1.95 Å) and one longer (1.96 Å) Fe–O bond length. There are a spread of Fe–F bond distances ranging from 2.06–2.18 Å. In the eighth Fe site, Fe is bonded to four O and two F atoms to form a mixture of edge and corner-sharing FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 42–55°. There are a spread of Fe–O bond distances ranging from 1.96–1.98 Å. There are one shorter (2.16 Å) and one longer (2.20 Å) Fe–F bond lengths. In the ninth Fe site, Fe is bonded to three O and three F atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There is two shorter (1.93 Å) and one longer (1.96 Å) Fe–O bond length. There are a spread of Fe–F bond distances ranging from 2.14–2.17 Å. In the tenth Fe site, Fe is bonded to three O and three F atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There are a spread of Fe–O bond distances ranging from 1.93–1.96 Å. There are a spread of Fe–F bond distances ranging from 2.06–2.22 Å. There are eleven inequivalent O sites. In the first O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the second O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the third O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the fourth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the fifth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the sixth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the seventh O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the eighth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the ninth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the tenth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the eleventh O site, O is bonded in a trigonal planar geometry to three Fe atoms. There are nine inequivalent F sites. In the first F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the second F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the third F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the fourth F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the fifth F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the sixth F site, F is bonded in a distorted T-shaped geometry to three Fe atoms. In the seventh F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the eighth F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the ninth F site, F is bonded in a distorted T-shaped geometry to three Fe atoms.

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 HfN3O3 octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–57°. 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 2.14–2.27 Å. In the second Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids 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 one shorter (2.07 Å) and two longer (2.16 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.16–2.24 Å. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN5O octahedra, edges with four HfN3O3 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.14 Å. There are one shorter (2.35 Å) and one longer (2.36 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with four HfN3O3 octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN5O octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are one shorter (2.13 Å) and two longer (2.15 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.10–2.20 Å. In the fifth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 48–59°. 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 2.15–2.24 Å. In the sixth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra, edges with four HfN3O3 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.23 Å. The Hf–O bond length is 2.39 Å. In the seventh Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with four HfN3O3 octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.22 Å. There are one shorter (2.13 Å) and one longer (2.20 Å) Hf–O bond lengths. In the eighth 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 2.07–2.17 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.26 Å. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with five HfN4O2 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Hf–N bond distances ranging from 2.09–2.19 Å. There are one shorter (2.24 Å) and one longer (2.27 Å) Hf–O bond lengths. In the tenth 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, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Hf–N bond distances ranging from 2.16–2.19 Å. There are one shorter (2.15 Å) and one longer (2.18 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 51–61°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. There are one shorter (2.23 Å) and one longer (2.28 Å) Hf–O bond lengths. In the twelfth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form HfN5O octahedra that share corners with five HfN4O2 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 55–61°. There are a spread of Hf–N bond distances ranging from 2.10–2.23 Å. The Hf–O bond length is 2.33 Å. In the thirteenth 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 52–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.20 Å. The Hf–O bond length is 2.28 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to six N3- atoms to form distorted HfN6 octahedra that share corners with four HfN4O2 octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Hf–N bond distances ranging from 2.14–2.29 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN3O3 octahedra, edges with four HfN4O2 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 51–56°. There are one shorter (2.07 Å) and two longer (2.14 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.12–2.28 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Hf–N bond distances ranging from 2.13–2.21 Å. The Hf–O bond length is 2.23 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 four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with four NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with five OHf4 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 third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one OHf4 tetrahedra, corners with four NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with five 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 a cornercorner with one OHf4 tetrahedra, corners with four NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with four NHf4 tetrahedra, corners with two 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 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, and edges with two NHf4 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 NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two 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 OHf4 tetrahedra, corners with four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with four NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, 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 four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with four NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one OHf4 tetrahedra, corners with three NHf4 tetrahedra, corners with two 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 eleventh 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, edges with two NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. 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 three NHf4 tetrahedra, corners with two 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 NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, a cornercorner with one OHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with five OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share a cornercorner with one OHf4 tetrahedra, corners with three NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with five OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ at

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 corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.12 Å. There are a spread of Hf–O bond distances ranging from 2.19–2.25 Å. In the second Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are one shorter (2.12 Å) and two longer (2.15 Å) Hf–N bond lengths. There are a spread of Hf–O bond distances ranging from 2.10–2.25 Å. In the third 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 HfN4O2 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 (2.14 Å) and one longer (2.20 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with six HfN4O2 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 2.07–2.11 Å. There are a spread of Hf–O bond distances ranging from 2.17–2.32 Å. 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 48–57°. There are a spread of Hf–N bond distances ranging from 2.07–2.19 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.23 Å. In the sixth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are two shorter (2.14 Å) and two longer (2.19 Å) Hf–N bond lengths. There are one shorter (2.15 Å) and one longer (2.17 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 corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.16 Å) and one longer (2.22 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted corner and edge-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of Hf–N bond distances ranging from 2.10–2.21 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.19 Å. 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 53–59°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. Both Hf–O bond lengths are 2.28 Å. In the tenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–60°. There are a spread of Hf–N bond distances ranging from 2.12–2.25 Å. The Hf–O bond length is 2.25 Å. In the eleventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.21 Å. The Hf–O bond length is 2.32 Å. In the twelfth 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 2.14–2.20 Å. There are one shorter (2.15 Å) and one longer (2.18 Å) Hf–O bond lengths. In the thirteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Hf–N bond distances ranging from 2.10–2.20 Å. The Hf–O bond length is 2.30 Å. In the fourteenth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.25 Å. The Hf–O bond length is 2.21 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.08–2.17 Å. There are one shorter (2.30 Å) and one longer (2.35 Å) Hf–O bond lengths. 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 2.15–2.23 Å. The Hf–O bond length is 2.19 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with four NHf4 tetrahedra, corners with two 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 corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with five 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 tetrahedra that share corners with four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three 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 five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with two NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. In the sixth 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 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, edges with two NHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and an edgeedge with one OHf4 trigonal pyramid. 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 five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three 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 four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with five 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 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 fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three 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 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 sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with four NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. 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 five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 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 tetrahedra, corners with five OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, edges with three NHf4 tetrahedra, and an edgeedge with one OHf4 trigonal pyramid. 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 five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two NHf4

36 MATERIALS SCIENCE↗

Materials Data on Hf2N2O by Materials Project

Hf2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with four HfN5O octahedra, corners with two HfN3O3 pentagonal pyramids, edges with five HfN3O3 octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Hf–N bond distances ranging from 2.08–2.20 Å. There are one shorter (2.23 Å) and one longer (2.28 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids 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 51–56°. There are a spread of Hf–N bond distances ranging from 2.07–2.17 Å. There are two shorter (2.16 Å) and one longer (2.22 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 pentagonal pyramids that share corners with four HfN4O2 octahedra, corners with two HfN3O3 pentagonal pyramids, 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 2.09–2.16 Å. There are two shorter (2.15 Å) and one longer (2.23 Å) Hf–O bond lengths. In the fourth 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 four HfN4O2 octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Hf–N bond distances ranging from 2.07–2.14 Å. There are a spread of Hf–O bond distances ranging from 2.12–2.30 Å. 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 five HfN5O octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. There are two shorter (2.15 Å) and one longer (2.19 Å) Hf–O bond lengths. In the sixth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form distorted HfN5O octahedra that share corners with six HfN4O2 octahedra, edges with three HfN3O3 octahedra, and edges with three HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Hf–N bond distances ranging from 2.12–2.24 Å. The Hf–O bond length is 2.33 Å. In the seventh Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of corner and edge-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Hf–N bond distances ranging from 2.10–2.21 Å. The Hf–O bond length is 2.29 Å. In the eighth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with three HfN3O3 octahedra, corners with three HfN3O3 pentagonal pyramids, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Hf–N bond distances ranging from 2.08–2.22 Å. There are a spread of Hf–O bond distances ranging from 2.12–2.21 Å. In the ninth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form HfN3O3 octahedra that share corners with five HfN3O3 octahedra, a cornercorner with one HfN3O3 pentagonal pyramid, edges with four HfN5O octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Hf–N bond distances ranging from 2.07–2.12 Å. There are a spread of Hf–O bond distances ranging from 2.20–2.28 Å. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of corner and edge-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Hf–N bond distances ranging from 2.08–2.20 Å. There are one shorter (2.22 Å) and one longer (2.30 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, edges with three HfN4O2 octahedra, and edges with three HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. The Hf–O bond length is 2.34 Å. In the twelfth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form distorted HfN3O3 octahedra that share corners with three HfN4O2 octahedra, corners with three HfN3O3 pentagonal pyramids, and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Hf–N bond distances ranging from 2.08–2.19 Å. There are a spread of Hf–O bond distances ranging from 2.12–2.26 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted 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 53–56°. There are a spread of Hf–N bond distances ranging from 2.10–2.17 Å. There are one shorter (2.23 Å) and one longer (2.24 Å) Hf–O bond lengths. 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 HfN4O2 octahedra, edges with four HfN5O octahedra, and edges with two HfN3O3 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Hf–N bond distances ranging from 2.08–2.17 Å. There are one shorter (2.33 Å) and one longer (2.36 Å) Hf–O bond lengths. In the fifteenth Hf4+ site, Hf4+ is bonded to six N3- atoms to form distorted HfN6 octahedra that share corners with four HfN5O octahedra, corners with two HfN3O3 pentagonal pyramids, and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Hf–N bond distances ranging from 2.15–2.26 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to six N3- atoms to form distorted HfN6 octahedra that share corners with six HfN4O2 octahedra, edges with five HfN5O octahedra, and an edgeedge with one HfN3O3 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Hf–N bond distances ranging from 2.14–2.24 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, an edgeedge with one NHf4 trigonal pyramid, and edges with two OHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three 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 fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with six NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 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 OHf4 tetrahedra, corners with three NHf4 tetrahedra, corners with four NHf4 trigonal pyramids, corners with four OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 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 OHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with three NHf4 tetrahedra, and an edgeedge with one NHf4 trigonal pyramid. 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 NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with four 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 distorted NHf4 trigonal pyramids that share a cornercorner with one OHf4 tetrahedra, corners with two NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with five NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, 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 OHf4 tetrahedra, corners with five NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with four NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra that share corners with two NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra 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 thirteenth 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 NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with four NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the 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 five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, edges with two NHf4 tetrahedra, and edges with two NHf4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with five OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with five NHf4 tetrahedra, a cornercorner with one OH

36 MATERIALS SCIENCE↗

Materials Data on Mn6O5F7 by Materials Project

Mn6O5F7 is zeta iron carbide-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are four inequivalent Mn+2.83+ sites. In the first Mn+2.83+ site, Mn+2.83+ is bonded to two equivalent O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight equivalent MnO3F3 octahedra and edges with two equivalent MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. Both Mn–O bond lengths are 1.96 Å. There are two shorter (2.07 Å) and two longer (2.11 Å) Mn–F bond lengths. In the second Mn+2.83+ site, Mn+2.83+ 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 43–56°. There is one shorter (1.89 Å) and one longer (1.94 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.02–2.20 Å. In the third Mn+2.83+ site, Mn+2.83+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of Mn–O bond distances ranging from 1.96–2.00 Å. There are a spread of Mn–F bond distances ranging from 2.09–2.20 Å. In the fourth Mn+2.83+ site, Mn+2.83+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight equivalent MnO2F4 octahedra and edges with two equivalent MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are two shorter (1.97 Å) and one longer (2.06 Å) Mn–O bond lengths. There are one shorter (2.12 Å) and two longer (2.19 Å) Mn–F bond lengths. There are three inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.83+ atoms. There are four inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the third F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Fe3(OF2)2 by Materials Project

Fe3(OF2)2 is zeta iron carbide-derived structured and crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional. there are two inequivalent Fe+2.67+ sites. In the first Fe+2.67+ site, Fe+2.67+ is bonded to two equivalent O2- and four F1- atoms to form a mixture of edge and corner-sharing FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There is one shorter (1.91 Å) and one longer (1.92 Å) Fe–O bond length. There are a spread of Fe–F bond distances ranging from 2.04–2.14 Å. In the second Fe+2.67+ site, Fe+2.67+ is bonded to two equivalent O2- and four F1- atoms to form a mixture of edge and corner-sharing FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. Both Fe–O bond lengths are 2.04 Å. There are two shorter (2.15 Å) and two longer (2.21 Å) Fe–F bond lengths. O2- is bonded in a distorted trigonal planar geometry to three Fe+2.67+ atoms. There are two inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Fe+2.67+ atoms. In the second F1- site, F1- is bonded in a trigonal planar geometry to three Fe+2.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O5F19 by Materials Project

Mn12O5F19 is Hydrophilite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.42+ sites. In the first Mn+2.42+ site, Mn+2.42+ 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 48–57°. There is one shorter (1.94 Å) and one longer (1.95 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.12–2.19 Å. In the second Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. The Mn–O bond length is 2.09 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.16 Å. In the third Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. The Mn–O bond length is 2.05 Å. There are a spread of Mn–F bond distances ranging from 2.13–2.24 Å. In the fourth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 41–61°. The Mn–O bond length is 2.02 Å. There are a spread of Mn–F bond distances ranging from 2.11–2.16 Å. In the fifth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form distorted MnOF5 octahedra that share corners with eight MnOF5 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. The Mn–O bond length is 2.03 Å. There are a spread of Mn–F bond distances ranging from 2.11–2.27 Å. In the sixth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. The Mn–O bond length is 2.04 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.20 Å. In the seventh Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–57°. The Mn–O bond length is 2.05 Å. There are a spread of Mn–F bond distances ranging from 2.10–2.20 Å. In the eighth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. The Mn–O bond length is 1.89 Å. There are a spread of Mn–F bond distances ranging from 2.03–2.20 Å. In the ninth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form distorted MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There is one shorter (1.95 Å) and one longer (1.96 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.09–2.32 Å. In the tenth Mn+2.42+ site, Mn+2.42+ 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 46–59°. The Mn–O bond length is 2.02 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.26 Å. In the eleventh Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–61°. The Mn–O bond length is 2.07 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.18 Å. In the twelfth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of distorted edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 41–61°. There is one shorter (1.90 Å) and one longer (1.91 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.06–2.31 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. There are nineteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fourth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the thirteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the sixteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.42+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eighteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.42+ atoms. In the nineteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Fe4O3F5 by Materials Project

Fe4O3F5 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Fe+2.75+ sites. In the first Fe+2.75+ site, Fe+2.75+ is bonded to two O2- and four F1- atoms to form distorted FeO2F4 octahedra that share corners with six FeO2F4 octahedra, a cornercorner with one FeO3F2 square pyramid, and edges with two equivalent FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There is one shorter (1.84 Å) and one longer (1.97 Å) Fe–O bond length. There are a spread of Fe–F bond distances ranging from 2.01–2.31 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 six FeO2F4 octahedra, corners with two equivalent FeO3F2 square pyramids, and edges with two equivalent FeO3F2 square pyramids. The corner-sharing octahedra tilt angles range from 48–57°. There are one shorter (2.04 Å) and one longer (2.06 Å) Fe–O bond lengths. There are a spread of Fe–F bond distances ranging from 2.09–2.21 Å. In the third Fe+2.75+ site, Fe+2.75+ is bonded to three O2- and two F1- atoms to form distorted FeO3F2 square pyramids that share corners with four FeO2F4 octahedra, corners with two equivalent FeO3F2 square pyramids, and edges with two equivalent FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of Fe–O bond distances ranging from 1.88–1.96 Å. There are one shorter (2.05 Å) and one longer (2.11 Å) Fe–F bond lengths. In the fourth Fe+2.75+ site, Fe+2.75+ is bonded to two equivalent O2- and four F1- atoms to form FeO2F4 octahedra that share corners with six FeO2F4 octahedra, a cornercorner with one FeO3F2 square pyramid, and edges with two equivalent FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There is one shorter (1.93 Å) and one longer (1.95 Å) Fe–O bond length. There are a spread of Fe–F bond distances ranging from 2.03–2.06 Å. There are three 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 distorted trigonal planar geometry to three Fe+2.75+ atoms. There are five 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 distorted trigonal planar geometry to three Fe+2.75+ atoms. In the third F1- site, F1- is bonded in a water-like geometry to two 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.

36 MATERIALS SCIENCE↗

Materials Data on Fe5(O4F)2 by Materials Project

Fe5(O4F)2 is Hydrophilite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Fe sites. In the first Fe site, Fe is bonded to five O and one F atom to form FeO5F octahedra that share corners with eight FeO5F octahedra and edges with two FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Fe–O bond distances ranging from 1.92–2.08 Å. The Fe–F bond length is 2.03 Å. In the second Fe site, Fe is bonded to six O atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Fe–O bond distances ranging from 1.94–2.13 Å. In the third Fe site, Fe is bonded to four O and two F atoms to form a mixture of edge and corner-sharing FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There are a spread of Fe–O bond distances ranging from 1.93–1.99 Å. There are one shorter (2.05 Å) and one longer (2.10 Å) Fe–F bond lengths. In the fourth Fe site, Fe is bonded to five O and one F atom to form FeO5F octahedra that share corners with eight FeO4F2 octahedra and edges with two FeO6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of Fe–O bond distances ranging from 1.95–1.98 Å. The Fe–F bond length is 2.16 Å. In the fifth Fe site, Fe is bonded to five O and one F atom to form FeO5F octahedra that share corners with eight FeO4F2 octahedra and edges with two FeO5F octahedra. The corner-sharing octahedra tilt angles range from 45–53°. There are a spread of Fe–O bond distances ranging from 1.90–1.99 Å. The Fe–F bond length is 2.15 Å. In the sixth Fe site, Fe is bonded to four O and two F atoms to form FeO4F2 octahedra that share corners with eight FeO6 octahedra and edges with two FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 46–53°. There are a spread of Fe–O bond distances ranging from 1.94–1.96 Å. Both Fe–F bond lengths are 2.05 Å. In the seventh Fe site, Fe is bonded to five O and one F atom to form FeO5F octahedra that share corners with eight FeO5F octahedra and edges with two FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of Fe–O bond distances ranging from 1.94–2.00 Å. The Fe–F bond length is 2.09 Å. In the eighth Fe site, Fe is bonded to five O and one F atom to form a mixture of edge and corner-sharing FeO5F octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There are a spread of Fe–O bond distances ranging from 1.94–1.99 Å. The Fe–F bond length is 2.11 Å. In the ninth Fe site, Fe is bonded to four O and two F atoms to form FeO4F2 octahedra that share corners with eight FeO6 octahedra and edges with two FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of Fe–O bond distances ranging from 1.92–2.00 Å. There are one shorter (2.08 Å) and one longer (2.09 Å) Fe–F bond lengths. In the tenth Fe site, Fe is bonded to five O and one F atom to form a mixture of edge and corner-sharing FeO5F octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of Fe–O bond distances ranging from 1.88–1.96 Å. The Fe–F bond length is 2.11 Å. There are sixteen inequivalent O sites. In the first O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the second O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the third O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the fourth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the fifth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the sixth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the seventh O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the eighth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the ninth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the tenth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the eleventh O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the twelfth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the thirteenth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the fourteenth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the fifteenth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the sixteenth O site, O is bonded in a trigonal planar geometry to three Fe atoms. There are four inequivalent F sites. In the first F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the second F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the third F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the fourth F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn3O5F by Materials Project

Mn3O5F is zeta iron carbide-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 44–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.05 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to four O2- and two equivalent F1- atoms to form MnO4F2 octahedra that share corners with eight MnO4F2 octahedra and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There is two shorter (1.95 Å) and two longer (1.96 Å) Mn–O bond length. Both Mn–F bond lengths are 2.08 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to four O2- and two equivalent F1- atoms to form MnO4F2 octahedra that share corners with eight MnO6 octahedra and edges with two equivalent MnO5F octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There is two shorter (1.92 Å) and two longer (2.02 Å) Mn–O bond length. Both Mn–F bond lengths are 2.04 Å. In the fourth Mn+3.67+ site, Mn+3.67+ is bonded to five O2- and one F1- atom to form MnO5F octahedra that share corners with eight MnO6 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of Mn–O bond distances ranging from 1.84–1.97 Å. The Mn–F bond length is 1.97 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.67+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.67+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.67+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.67+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.67+ atoms. F1- is bonded in a distorted trigonal planar geometry to three Mn+3.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn8O13F3 by Materials Project

Mn8O13F3 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Mn+3.62+ sites. In the first Mn+3.62+ site, Mn+3.62+ is bonded to five O2- and one F1- atom to form a mixture of edge and corner-sharing MnO5F octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Mn–O bond distances ranging from 1.95–1.97 Å. The Mn–F bond length is 2.17 Å. In the second Mn+3.62+ site, Mn+3.62+ is bonded to five O2- and one F1- atom to form a mixture of edge and corner-sharing MnO5F octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Mn–O bond distances ranging from 1.89–2.03 Å. The Mn–F bond length is 2.02 Å. In the third Mn+3.62+ site, Mn+3.62+ is bonded to five O2- and one F1- atom to form a mixture of edge and corner-sharing MnO5F octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Mn–O bond distances ranging from 1.89–1.95 Å. The Mn–F bond length is 2.03 Å. In the fourth Mn+3.62+ site, Mn+3.62+ is bonded to five O2- and one F1- atom to form a mixture of edge and corner-sharing MnO5F octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There are a spread of Mn–O bond distances ranging from 1.89–1.95 Å. The Mn–F bond length is 2.04 Å. In the fifth Mn+3.62+ site, Mn+3.62+ is bonded to five O2- and one F1- atom to form a mixture of edge and corner-sharing MnO5F octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Mn–O bond distances ranging from 1.93–2.02 Å. The Mn–F bond length is 2.22 Å. In the sixth Mn+3.62+ site, Mn+3.62+ is bonded to five O2- and one F1- atom to form a mixture of edge and corner-sharing MnO5F octahedra. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Mn–O bond distances ranging from 1.91–2.05 Å. The Mn–F bond length is 2.02 Å. In the seventh Mn+3.62+ site, Mn+3.62+ is bonded to five O2- and one F1- atom to form a mixture of edge and corner-sharing MnO5F octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Mn–O bond distances ranging from 1.94–2.01 Å. The Mn–F bond length is 2.21 Å. In the eighth Mn+3.62+ site, Mn+3.62+ is bonded to four O2- and two F1- atoms to form a mixture of edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 45–54°. There are a spread of Mn–O bond distances ranging from 1.91–1.94 Å. There are one shorter (2.01 Å) and one longer (2.07 Å) Mn–F bond lengths. There are thirteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.62+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.62+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.62+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.62+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.62+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.62+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.62+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.62+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.62+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.62+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.62+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.62+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.62+ atoms. There are three inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.62+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.62+ atoms. In the third F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.62+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiMn3P3(HO6)2 by Materials Project

LiMn3P3(HO6)2 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Li1+ is bonded in a 4-coordinate geometry to four equivalent O2- atoms. There are two shorter (2.09 Å) and two longer (2.38 Å) Li–O bond lengths. There are two inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.16–2.28 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two equivalent MnO6 octahedra. There are four shorter (2.21 Å) and two longer (2.33 Å) Mn–O bond lengths. There are two inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–57°. There are a spread of P–O bond distances ranging from 1.53–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. All P–O bond lengths are 1.56 Å. H1+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.10 Å) and one longer (1.36 Å) H–O bond length. There are six inequivalent O2- sites. In the first O2- site, O2- is bonded to two equivalent Li1+, one Mn2+, and one P5+ atom to form a mixture of distorted edge and corner-sharing OLi2MnP tetrahedra. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mn2+, one P5+, and one H1+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Mn2+, one P5+, and one H1+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Fe10O11F9 by Materials Project

Fe10O11F9 is Hydrophilite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Fe sites. In the first Fe site, Fe is bonded to four O and two F atoms to form FeO4F2 octahedra that share corners with eight FeO4F2 octahedra and edges with two FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of Fe–O bond distances ranging from 1.92–1.98 Å. There are one shorter (2.08 Å) and one longer (2.16 Å) Fe–F bond lengths. In the second Fe site, Fe is bonded to two O and four F atoms to form a mixture of edge and corner-sharing FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There is one shorter (1.91 Å) and one longer (1.92 Å) Fe–O bond length. There are a spread of Fe–F bond distances ranging from 2.01–2.10 Å. In the third Fe site, Fe is bonded to three O and three F atoms to form FeO3F3 octahedra that share corners with eight FeO4F2 octahedra and edges with two FeO2F4 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of Fe–O bond distances ranging from 1.91–1.98 Å. There are a spread of Fe–F bond distances ranging from 2.04–2.15 Å. In the fourth Fe site, Fe is bonded to three O and three F atoms to form a mixture of edge and corner-sharing FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There is one shorter (1.92 Å) and two longer (1.94 Å) Fe–O bond length. There are a spread of Fe–F bond distances ranging from 2.08–2.17 Å. In the fifth Fe site, Fe is bonded to three O and three F atoms to form FeO3F3 octahedra that share corners with eight FeO3F3 octahedra and edges with two FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 42–56°. There are a spread of Fe–O bond distances ranging from 1.93–1.96 Å. There are a spread of Fe–F bond distances ranging from 2.08–2.16 Å. In the sixth Fe site, Fe is bonded to four O and two F atoms to form a mixture of edge and corner-sharing FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There are a spread of Fe–O bond distances ranging from 1.95–1.98 Å. There are one shorter (2.18 Å) and one longer (2.23 Å) Fe–F bond lengths. In the seventh Fe site, Fe is bonded to four O and two F atoms to form a mixture of edge and corner-sharing FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 43–53°. There are a spread of Fe–O bond distances ranging from 1.97–2.01 Å. There are one shorter (2.16 Å) and one longer (2.21 Å) Fe–F bond lengths. In the eighth Fe site, Fe is bonded to three O and three F atoms to form FeO3F3 octahedra that share corners with eight FeO2F4 octahedra and edges with two FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of Fe–O bond distances ranging from 1.92–1.96 Å. There are one shorter (2.11 Å) and two longer (2.12 Å) Fe–F bond lengths. In the ninth Fe site, Fe is bonded to three O and three F atoms to form FeO3F3 octahedra that share corners with eight FeO3F3 octahedra and edges with two FeO4F2 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Fe–O bond distances ranging from 1.92–1.97 Å. There are two shorter (2.12 Å) and one longer (2.20 Å) Fe–F bond lengths. In the tenth Fe site, Fe is bonded to four O and two F atoms to form FeO4F2 octahedra that share corners with eight FeO4F2 octahedra and edges with two FeO3F3 octahedra. The corner-sharing octahedra tilt angles range from 42–53°. There are a spread of Fe–O bond distances ranging from 1.96–1.99 Å. There are one shorter (2.16 Å) and one longer (2.23 Å) Fe–F bond lengths. There are eleven inequivalent O sites. In the first O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the second O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the third O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the fourth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the fifth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the sixth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the seventh O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the eighth O site, O is bonded in a trigonal planar geometry to three Fe atoms. In the ninth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the tenth O site, O is bonded in a distorted trigonal planar geometry to three Fe atoms. In the eleventh O site, O is bonded in a trigonal planar geometry to three Fe atoms. There are nine inequivalent F sites. In the first F site, F is bonded in a distorted T-shaped geometry to three Fe atoms. In the second F site, F is bonded in a trigonal planar geometry to three Fe atoms. In the third F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the fourth F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the fifth F site, F is bonded in a distorted trigonal planar geometry to three Fe atoms. In the sixth F site, F is bonded in a distorted T-shaped geometry to three Fe atoms. In the seventh F site, F is bonded in a trigonal planar geometry to three Fe atoms. In the eighth F site, F is bonded in a distorted T-shaped geometry to three Fe atoms. In the ninth F site, F is bonded in a distorted T-shaped geometry to three Fe atoms.

36 MATERIALS SCIENCE↗

Materials Data on Na4Mn2As(CO4)4 by Materials Project

Na4Mn2As(CO4)4 crystallizes in the orthorhombic Fddd space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four equivalent NaO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–85°. There are a spread of Na–O bond distances ranging from 2.38–2.55 Å. In the second Na1+ site, Na1+ is bonded to six O2- atoms to form distorted NaO6 octahedra that share corners with four equivalent NaO6 octahedra, edges with two equivalent MnO6 octahedra, and an edgeedge with one AsO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–85°. There are a spread of Na–O bond distances ranging from 2.43–2.56 Å. Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with four NaO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.00–2.24 Å. C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.28–1.31 Å. As5+ is bonded to four equivalent O2- atoms to form AsO4 tetrahedra that share edges with four NaO6 octahedra. All As–O bond lengths are 1.72 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Na1+ and one As5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn+3.50+, and one C4+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Na1+, one Mn+3.50+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Na1+, one Mn+3.50+, and one C4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Fe2C4SO16 by Materials Project

Li4Fe2C4SO16 crystallizes in the orthorhombic Fddd 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 distorted LiO6 octahedra that share corners with four equivalent LiO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–81°. There are a spread of Li–O bond distances ranging from 2.16–2.35 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with four equivalent LiO6 octahedra, edges with two equivalent FeO6 octahedra, and an edgeedge with one SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–81°. There are a spread of Li–O bond distances ranging from 2.15–2.48 Å. Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share edges with four LiO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.05 Å. C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.29 Å) and two longer (1.30 Å) C–O bond length. S6+ is bonded to four equivalent O2- atoms to form SO4 tetrahedra that share edges with four LiO6 octahedra. All S–O bond lengths are 1.50 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one C4+ atom. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to two Li1+ and one S6+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe3+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Fe3+, and one C4+ atom.

36 MATERIALS SCIENCE↗