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Materials Data on Li5Fe2Co3O10 by Materials Project

Li5Fe2Co3O10 is alpha Po-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.12–2.16 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.12–2.15 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.13–2.15 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent FeO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Li–O bond distances ranging from 2.11–2.16 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six CoO6 octahedra, edges with two CoO6 octahedra, edges with four equivalent FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–7°. There are a spread of Li–O bond distances ranging from 2.12–2.17 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with two FeO6 octahedra, edges with four equivalent CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.03–2.16 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent FeO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Li–O bond distances ranging from 2.07–2.18 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six FeO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedral tilt angles are 3°. There are a spread of Li–O bond distances ranging from 2.10–2.12 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent FeO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one CoO6 octahedra, edges with five FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Li–O bond distances ranging from 2.06–2.18 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with three equivalent FeO6 octahedra, corners with three equivalent CoO6 octahedra, an edgeedge with one FeO6 octahedra, edges with five CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Li–O bond distances ranging from 2.03–2.18 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There is four shorter (1.96 Å) and two longer (1.97 Å) Fe–O bond length. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Fe–O bond distances ranging from 2.00–2.06 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six FeO6 octahedra. The corner-sharing octahedral tilt angles are 4°. There are four shorter (2.02 Å) and two longer (2.04 Å) Fe–O bond lengths. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Fe–O bond distances ranging from 2.00–2.06 Å. There are six inequivalent Co3+ sites. In the first Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedral tilt angles are 7°. All Co–O bond lengths are 1.94 Å. In the second Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There is four shorter (1.94 Å) and two longer (1.95 Å) Co–O bond length. In the third Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six CoO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There is four shorter (1.94 Å) and two longer (1.95 Å) Co–O bond length. In the fourth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There is three shorter (1.94 Å) and three longer (1.95 Å) Co–O bond length. In the fifth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent CoO6 octahedra, edges with four FeO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Co–O bond distances ranging from 1.93–1.96 Å. In the sixth Co3+ site, Co3+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO6 octahedra, edges with two equivalent FeO6 octahedra, edges with four CoO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Co–O bond distances ranging from 1.92–1.97 Å. There are twenty inequivalent O2- sites. In the first O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form OLi3Co3 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Fe2Co octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the seventh O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O2- site, O2- is bonded to three Li1+, one Fe3+, and two equivalent Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the ninth O2- site, O2- is bonded to three Li1+ and three Co3+ atoms to form a mixture of edge and corner-sharing OLi3Co3 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the tenth O2- site, O2- is bonded to three Li1+, two equivalent Fe3+, and one Co3+ atom to form a mixture of edge and corner-sharing OLi3Fe2Co octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eleventh O2- site, O2- is bonded to three Li1+, two equivalent Fe3+, and one Co3+ atom to form OLi3Fe2Co octahedra that share corners with six OLi3Fe2Co octahedra and edges with twelve OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the twelfth O2- site, O2- is bonded to three Li1+, one Fe3+, and two equivalent Co3+ atoms to form a mixture of edge and corner-sharing OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the thirteenth O2- site, O2- is bonded to three Li1+, one Fe3+, and two equivalent Co3+ atoms to form OLi3FeCo2 octahedra that share corners with six OLi3Fe3 octahedra and edges with twelve OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fourteenth O2- site, O2- is bonded to three Li1+, two equivalent Fe3+, and one Co3+ atom to form OLi3Fe2Co octahedra that share corners with six OLi3Fe3 octahedra and edges with twelve OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the sixteenth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form OLi3Fe3 octahedra that share corners with six OLi3Fe2Co octahedra and edges with twelve OLi3FeCo2 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the seventeenth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighteenth O2- site, O2- is bonded to three Li1+ and three Fe3+ atoms to form a mixture of edge and corner-sharing OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the nineteenth O2- site, O2- is bonded to three Li1+, two equivalent Fe3+, and one Co3+ atom to form a mixture of edge and corner-sharing OLi3Fe2Co octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the twentieth O2- site, O2- is bonded to three Li1+, one Fe3+, and two equivalent Co3+ atoms to form OLi3FeCo2 octahedra that share corners with six OLi3Co3 octahedra and edges with twelve OLi3Fe3 octahedra. The corner-sharing octahedra tilt angles range from 1–3°.

36 MATERIALS SCIENCE↗

Materials Data on CaMn4O8 by Materials Project

CaMn4O8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to four O2- atoms to form CaO4 tetrahedra that share corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–71°. There are a spread of Ca–O bond distances ranging from 2.21–2.28 Å. In the second Ca2+ site, Ca2+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Ca–O bond distances ranging from 2.15–2.20 Å. In the third Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ca–O bond distances ranging from 2.19–2.62 Å. In the fourth Ca2+ site, Ca2+ is bonded to four O2- atoms to form distorted CaO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–72°. There are a spread of Ca–O bond distances ranging from 2.17–2.22 Å. There are sixteen inequivalent Mn+3.50+ sites. In the first Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.97 Å. In the second Mn+3.50+ site, Mn+3.50+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.93–2.36 Å. In the third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CaO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.98 Å. In the fourth Mn+3.50+ site, Mn+3.50+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.95–2.32 Å. In the fifth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.01 Å. In the sixth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.07 Å. In the seventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.05 Å. In the eighth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.05 Å. In the ninth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.01 Å. In the tenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.42 Å. In the eleventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.28 Å. In the twelfth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.01 Å. In the thirteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.42 Å. In the fourteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.38 Å. In the fifteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.40 Å. In the sixteenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one CaO4 tetrahedra and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.37 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+3.50+ atoms. In the second O2- site, O2- is bonded in a distorted see-saw-like geometry to one Ca2+ and three Mn+3.50+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.50+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the sixth O2- site, O2- is bonded in a water-like geometry to two Mn+3.50+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the eighth O2- site, O2- is bonded in a distorted water-like geometry to two Mn+3.50+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the tenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the twelfth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Mn+3.50+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Mn+3.50+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Mn+3.50+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Mn+3.50+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to three Mn+3.50+ atoms. In the seventeenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of corner and edge-sharing OCaMn3 tetrahedra. In the nineteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of corner and edge-sharing OCaMn3 tetrahedra. In the twenty-first O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 tetrahedra. In the twenty-second O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+ and three Mn+3.50+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ca2+ and three Mn+3.50+ atoms. In the twenty-ninth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of corner and edge-sharing OCaMn3 tetrahedra. In the thirtieth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of corner and edge-sharing OCaMn3 tetrahedra. In the thirty-first O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of corner and edge-sharing OCaMn3 tetrahedra. In the thirty-second O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of corner and edge-sharing OCaMn3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Sn2N2O by Materials Project

Sn2N2O is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN3O3 octahedra and edges with six SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Sn–N bond distances ranging from 2.11–2.23 Å. There are one shorter (2.15 Å) and one longer (2.34 Å) Sn–O bond lengths. In the second Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Sn–N bond distances ranging from 2.15–2.19 Å. There are one shorter (2.23 Å) and one longer (2.25 Å) Sn–O bond lengths. In the third Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Sn–N bond distances ranging from 2.09–2.19 Å. There are one shorter (2.34 Å) and one longer (2.35 Å) Sn–O bond lengths. In the fourth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Sn–N bond distances ranging from 2.18–2.24 Å. There are one shorter (2.13 Å) and one longer (2.30 Å) Sn–O bond lengths. In the fifth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Sn–N bond distances ranging from 2.11–2.19 Å. There are a spread of Sn–O bond distances ranging from 2.13–2.27 Å. In the sixth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Sn–N bond distances ranging from 2.11–2.22 Å. There are one shorter (2.32 Å) and one longer (2.36 Å) Sn–O bond lengths. In the seventh Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Sn–N bond distances ranging from 2.14–2.21 Å. There are one shorter (2.23 Å) and one longer (2.36 Å) Sn–O bond lengths. In the eighth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Sn–N bond distances ranging from 2.16–2.20 Å. There are one shorter (2.21 Å) and one longer (2.28 Å) Sn–O bond lengths. In the ninth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Sn–N bond distances ranging from 2.13–2.20 Å. There are one shorter (2.25 Å) and one longer (2.29 Å) Sn–O bond lengths. In the tenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN4O2 octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Sn–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.16 Å) and one longer (2.32 Å) Sn–O bond lengths. In the eleventh Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Sn–N bond distances ranging from 2.09–2.18 Å. There are a spread of Sn–O bond distances ranging from 2.13–2.26 Å. In the twelfth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing SnN5O octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Sn–N bond distances ranging from 2.13–2.24 Å. The Sn–O bond length is 2.37 Å. In the thirteenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 48–59°. There are a spread of Sn–N bond distances ranging from 2.16–2.21 Å. There are one shorter (2.14 Å) and one longer (2.32 Å) Sn–O bond lengths. In the fourteenth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing SnN5O octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Sn–N bond distances ranging from 2.12–2.24 Å. The Sn–O bond length is 2.37 Å. In the fifteenth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are two shorter (2.17 Å) and one longer (2.19 Å) Sn–N bond lengths. There are a spread of Sn–O bond distances ranging from 2.11–2.27 Å. In the sixteenth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing SnN5O octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are a spread of Sn–N bond distances ranging from 2.11–2.24 Å. The Sn–O bond length is 2.42 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with six OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the second N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with six NSn4 tetrahedra, a cornercorner with one OSn4 trigonal pyramid, corners with five NSn4 trigonal pyramids, and edges with four OSn4 trigonal pyramids. In the third N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with four NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and an edgeedge with one OSn4 trigonal pyramid. In the fourth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with seven NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with three OSn4 trigonal pyramids, edges with two NSn4 trigonal pyramids, and edges with two OSn4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with three NSn4 tetrahedra, corners with four OSn4 trigonal pyramids, corners with five NSn4 trigonal pyramids, edges with two NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the sixth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with six NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with three OSn4 trigonal pyramids, edges with two NSn4 trigonal pyramids, and edges with two OSn4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with six OSn4 trigonal pyramids, edges with three NSn4 tetrahedra, and an edgeedge with one OSn4 trigonal pyramid. In the eighth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with seven NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with two OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with six NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with three OSn4 trigonal pyramids, edges with two NSn4 trigonal pyramids, and edges with two OSn4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with seven NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with two OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the eleventh N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with six NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with three OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Sn4+ atoms to form NSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with six OSn4 trigonal pyramids, edges with three NSn4 tetrahedra, and an edgeedge with one NSn4 trigonal pyramid. In the thirteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with five OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and an edgeedge with one NSn4 trigonal pyramid. In the fourteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with seven NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with three OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with six NSn4 tetrahedra, a cornercorner with one OSn4 trigonal pyramid, corners with five NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, and edges with two OSn4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with seven NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with three OSn4 trigonal pyramids, edges with two NSn4 trigonal pyramids, and edges with two OSn4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with four OSn4 trigonal pyramids, corners with five NSn4 trigonal pyramids, and edges with three NSn4 tetrahedra. In the second O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with seven NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with two OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and edges with two NSn4 trigonal pyramids. In the third O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with three NSn4 tetrahedra, corners with four OSn4 trigonal pyramids, corners with five NSn4 trigonal pyramids, and edges with four NSn4 tetrahedra. In the fourth O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with four NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahed

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 distorted HfN4O2 octahedra that share corners with six HfN3O3 octahedra and edges with six HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Hf–N bond distances ranging from 2.11–2.24 Å. There are one shorter (2.12 Å) and one longer (2.23 Å) Hf–O bond lengths. In the second Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Hf–N bond distances ranging from 2.12–2.17 Å. There are one shorter (2.23 Å) and one longer (2.25 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted 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 2.09–2.20 Å. There are one shorter (2.18 Å) and one longer (2.29 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.26 Å. There are one shorter (2.12 Å) and one longer (2.21 Å) Hf–O bond lengths. 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 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.07–2.13 Å. There are a spread of Hf–O bond distances ranging from 2.18–2.28 Å. In the sixth 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 54–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.17 Å. Both Hf–O bond lengths are 2.27 Å. In the seventh 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 53–58°. There are a spread of Hf–N bond distances ranging from 2.09–2.17 Å. There are one shorter (2.26 Å) and one longer (2.27 Å) Hf–O bond lengths. In the eighth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Hf–N bond distances ranging from 2.10–2.19 Å. There are one shorter (2.23 Å) and one longer (2.27 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.18 Å. There are one shorter (2.24 Å) and one longer (2.26 Å) Hf–O bond lengths. In the tenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form distorted HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are one shorter (2.08 Å) and three longer (2.16 Å) Hf–N bond lengths. There are one shorter (2.20 Å) and one longer (2.32 Å) Hf–O bond lengths. In the eleventh 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 51–54°. There are a spread of Hf–N bond distances ranging from 2.13–2.20 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.16 Å. 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 53–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.29 Å. The Hf–O bond length is 2.22 Å. In the thirteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–58°. There are a spread of Hf–N bond distances ranging from 2.10–2.27 Å. There are one shorter (2.19 Å) and one longer (2.21 Å) Hf–O bond lengths. In the fourteenth 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 52–56°. There are a spread of Hf–N bond distances ranging from 2.13–2.23 Å. The Hf–O bond length is 2.22 Å. In the fifteenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Hf–N bond distances ranging from 2.10–2.16 Å. There are a spread of Hf–O bond distances ranging from 2.14–2.21 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 54–58°. There are a spread of Hf–N bond distances ranging from 2.12–2.23 Å. The Hf–O bond length is 2.32 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the second N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, corners with eight NHf4 trigonal pyramids, and edges with four OHf4 trigonal pyramids. In the third N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with 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 fourth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two NHf4 tetrahedra, corners with 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 fifth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 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 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 seventh 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, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with five NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, edges with three NHf4 tetrahedra, and an edgeedge with one OHf4 trigonal pyramid. In the ninth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra 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 tenth 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, 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 NHf4 trigonal pyramids that share corners with five NHf4 trigonal pyramids, corners with seven OHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, and edges with three NHf4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 tetrahedra 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 thirteenth 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, 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 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 fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, a cornercorner with one OHf4 trigonal pyramid, 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 distorted NHf4 tetrahedra 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. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two 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 four OHf4 trigonal pyramids, corners with seven 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 four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with three NHf4 tetrahedra, corners with three OHf4 trigonal pyramids, corners with six NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the fourth 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, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges with two NHf4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with five OHf4 trigonal

36 MATERIALS SCIENCE↗

Materials Data on Zr2N2O by Materials Project

Zr2ON2 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Zr–N bond distances ranging from 2.16–2.25 Å. There are one shorter (2.18 Å) and one longer (2.24 Å) Zr–O bond lengths. In the second Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Zr–N bond distances ranging from 2.13–2.22 Å. There are one shorter (2.25 Å) and one longer (2.31 Å) Zr–O bond lengths. In the third Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.17–2.25 Å. There are one shorter (2.16 Å) and one longer (2.23 Å) Zr–O bond lengths. In the fourth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.12–2.24 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.24 Å. In the fifth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Zr–N bond distances ranging from 2.12–2.20 Å. There are one shorter (2.35 Å) and one longer (2.36 Å) Zr–O bond lengths. In the sixth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Zr–N bond distances ranging from 2.13–2.21 Å. There are one shorter (2.30 Å) and one longer (2.31 Å) Zr–O bond lengths. In the seventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN3O3 octahedra and edges with six ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Zr–N bond distances ranging from 2.13–2.25 Å. There are one shorter (2.28 Å) and one longer (2.29 Å) Zr–O bond lengths. In the eighth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Zr–N bond distances ranging from 2.18–2.22 Å. There are one shorter (2.17 Å) and one longer (2.23 Å) Zr–O bond lengths. In the ninth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form ZrN4O2 octahedra that share corners with six ZrN4O2 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of Zr–N bond distances ranging from 2.11–2.22 Å. There are one shorter (2.31 Å) and one longer (2.32 Å) Zr–O bond lengths. In the tenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Zr–N bond distances ranging from 2.18–2.32 Å. The Zr–O bond length is 2.23 Å. In the eleventh Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.13–2.26 Å. There are one shorter (2.22 Å) and one longer (2.26 Å) Zr–O bond lengths. In the twelfth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Zr–N bond distances ranging from 2.15–2.30 Å. The Zr–O bond length is 2.27 Å. In the thirteenth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Zr–N bond distances ranging from 2.12–2.28 Å. There are a spread of Zr–O bond distances ranging from 2.17–2.26 Å. In the fourteenth Zr4+ site, Zr4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing ZrN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Zr–N bond distances ranging from 2.14–2.26 Å. There are one shorter (2.26 Å) and one longer (2.28 Å) Zr–O bond lengths. In the fifteenth Zr4+ site, Zr4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing ZrN5O octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Zr–N bond distances ranging from 2.17–2.25 Å. The Zr–O bond length is 2.25 Å. In the sixteenth Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Zr–N bond distances ranging from 2.16–2.19 Å. There are a spread of Zr–O bond distances ranging from 2.15–2.24 Å. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the second N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with two OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with three OZr4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one NZr4 trigonal pyramid, and an edgeedge with one OZr4 trigonal pyramid. In the eighth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the ninth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the tenth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Zr4+ atoms. In the eleventh N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with five OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 tetrahedra, and edges with three NZr4 trigonal pyramids. In the twelfth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share corners with four OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 trigonal pyramid, and edges with two OZr4 trigonal pyramids. In the fourteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with four OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with three NZr4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with seven NZr4 trigonal pyramids, edges with two NZr4 trigonal pyramids, and edges with two OZr4 trigonal pyramids. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the second O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, a cornercorner with one OZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with six NZr4 trigonal pyramids, and edges with four NZr4 trigonal pyramids. In the third O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 tetrahedra that share corners with four OZr4 trigonal pyramids, corners with eight NZr4 trigonal pyramids, an edgeedge with one NZr4 tetrahedra, an edgeedge with one OZr4 trigonal pyramid, and edges with two NZr4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Zr4+ atoms to form distorted OZr4 trigonal pyramids that share a cornercorner with one NZr4 tetrahedra, corners with three OZr4 trigonal pyramids, corners with

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 a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.24 Å. There are one shorter (2.18 Å) and one longer (2.27 Å) Hf–O bond lengths. In the second 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 51–57°. There are a spread of Hf–N bond distances ranging from 2.10–2.18 Å. There are one shorter (2.23 Å) and one longer (2.26 Å) Hf–O bond lengths. In the third Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Hf–N bond distances ranging from 2.09–2.19 Å. There are one shorter (2.23 Å) and one longer (2.28 Å) Hf–O bond lengths. In the fourth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form HfN4O2 octahedra that share corners with six HfN4O2 octahedra and edges with six HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–59°. There are a spread of Hf–N bond distances ranging from 2.08–2.20 Å. There are one shorter (2.24 Å) and one longer (2.29 Å) Hf–O bond lengths. 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 octahedra. The corner-sharing octahedra tilt angles range from 51–53°. There are a spread of Hf–N bond distances ranging from 2.13–2.16 Å. There are a spread of Hf–O bond distances ranging from 2.09–2.21 Å. In the sixth 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 52–54°. There are a spread of Hf–N bond distances ranging from 2.13–2.21 Å. 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 edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. There are one shorter (2.23 Å) and one longer (2.25 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 51–58°. There are a spread of Hf–N bond distances ranging from 2.07–2.14 Å. There are two shorter (2.19 Å) and one longer (2.30 Å) Hf–O bond lengths. In the ninth Hf4+ site, Hf4+ is bonded to five N3- and one O2- atom to form a mixture of distorted edge and corner-sharing HfN5O octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Hf–N bond distances ranging from 2.13–2.23 Å. The Hf–O bond length is 2.24 Å. In the tenth Hf4+ site, Hf4+ is bonded to three N3- and three O2- atoms to form a mixture of distorted edge and corner-sharing HfN3O3 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Hf–N bond distances ranging from 2.11–2.22 Å. There are a spread of Hf–O bond distances ranging from 2.13–2.19 Å. In the eleventh 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 2.11–2.25 Å. The Hf–O bond length is 2.31 Å. In the twelfth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Hf–N bond distances ranging from 2.08–2.18 Å. There are one shorter (2.18 Å) and one longer (2.34 Å) Hf–O bond lengths. In the thirteenth 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 54–58°. There are a spread of Hf–N bond distances ranging from 2.09–2.20 Å. There are one shorter (2.26 Å) and one longer (2.28 Å) Hf–O bond lengths. In the fourteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of Hf–N bond distances ranging from 2.15–2.20 Å. There are one shorter (2.16 Å) and one longer (2.18 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 53–57°. There are a spread of Hf–N bond distances ranging from 2.12–2.22 Å. The Hf–O bond length is 2.28 Å. In the sixteenth Hf4+ site, Hf4+ is bonded to four N3- and two O2- atoms to form a mixture of distorted edge and corner-sharing HfN4O2 octahedra. The corner-sharing octahedra tilt angles range from 50–59°. There are a spread of Hf–N bond distances ranging from 2.11–2.19 Å. There are one shorter (2.20 Å) and one longer (2.24 Å) Hf–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 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 trigonal pyramids, 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 corners with six NHf4 trigonal pyramids, corners with six OHf4 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 two OHf4 trigonal pyramids, corners with ten 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 six NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 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 two OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one NHf4 trigonal pyramid, and edges with three OHf4 trigonal pyramids. In the sixth N3- site, N3- is bonded to four Hf4+ atoms to form NHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three 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 NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the eighth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 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 NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the tenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with nine 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 NHf4 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 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 a cornercorner with one NHf4 tetrahedra, corners with five NHf4 trigonal pyramids, corners with six OHf4 trigonal pyramids, and edges with four 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 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 fourteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with six NHf4 trigonal pyramids, corners with six 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 fifteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with four OHf4 trigonal pyramids, corners with seven NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the sixteenth N3- site, N3- is bonded to four Hf4+ atoms to form distorted NHf4 trigonal pyramids that share corners with two OHf4 trigonal pyramids, corners with ten 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 corners with four OHf4 trigonal pyramids, corners with eight 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 second O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with four OHf4 trigonal pyramids, corners with eight NHf4 trigonal pyramids, and edges with four NHf4 trigonal pyramids. In the third O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share a cornercorner with one NHf4 tetrahedra, corners with two OHf4 trigonal pyramids, corners with nine NHf4 trigonal pyramids, an edgeedge with one OHf4 trigonal pyramid, and edges with three NHf4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two OHf4 trigonal pyramids, corners with ten NHf4 trigonal pyramids, edges with two NHf4 trigonal pyramids, and edges with two OHf4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Hf4+ atoms to form distorted OHf4 trigonal pyramids that share corners with two OHf4 trigonal pyramids, corners with ten NHf4 trigonal pyramids, an edgeedge with one NHf4 tetrahedra, an edgeedge with one OHf4 trigonal pyramid, and edges wi

36 MATERIALS SCIENCE↗

Materials Data on BaO by Materials Project

BaO is Molybdenum Carbide MAX Phase-like structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are nine inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to six equivalent O2- atoms to form a mixture of distorted edge and corner-sharing BaO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Ba–O bond distances ranging from 2.80–2.82 Å. In the second Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.07 Å. In the third Ba2+ site, Ba2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BaO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Ba–O bond distances ranging from 2.74–2.85 Å. In the fourth Ba2+ site, Ba2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BaO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Ba–O bond distances ranging from 2.75–2.84 Å. In the fifth Ba2+ site, Ba2+ is bonded to six O2- atoms to form edge-sharing BaO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.76–2.82 Å. In the sixth Ba2+ site, Ba2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BaO6 octahedra. The corner-sharing octahedral tilt angles are 1°. There are a spread of Ba–O bond distances ranging from 2.74–2.84 Å. In the seventh Ba2+ site, Ba2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing BaO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Ba–O bond distances ranging from 2.73–2.86 Å. In the eighth Ba2+ site, Ba2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ba–O bond distances ranging from 2.68–3.07 Å. In the ninth Ba2+ site, Ba2+ is bonded to six equivalent O2- atoms to form a mixture of distorted edge and corner-sharing BaO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 1°. There are a spread of Ba–O bond distances ranging from 2.80–2.82 Å. There are eight inequivalent O2- sites. In the first O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of face, edge, and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 0–51°. In the second O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of face, edge, and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 1–51°. In the third O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of edge and corner-sharing OBa6 octahedra. The corner-sharing octahedral tilt angles are 1°. In the fourth O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of face, edge, and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 1–48°. In the fifth O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of face, edge, and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 1–48°. In the sixth O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of face, edge, and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 0–51°. In the seventh O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of edge and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O2- site, O2- is bonded to six Ba2+ atoms to form a mixture of face, edge, and corner-sharing OBa6 octahedra. The corner-sharing octahedra tilt angles range from 0–51°.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–54°. The Ti–N bond length is 2.01 Å. There are a spread of Ti–O bond distances ranging from 1.80–2.18 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–50°. The Ti–N bond length is 1.97 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.17 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.03 Å) and one longer (2.06 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.92–2.18 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.18 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.94 Å) and one longer (2.02 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.92 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.16 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–52°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.86–2.15 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.05 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.94–2.19 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–54°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.78–2.18 Å. In the eleventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–50°. The Ti–N bond length is 2.17 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the twelfth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.17 Å. In the thirteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. Both Ti–N bond lengths are 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.94–2.18 Å. In the fourteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the fifteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 2.13 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.12 Å. In the sixteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted corner and edge-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.17 Å. In the seventeenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.03 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the second N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the third N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the fourth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the sixth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the third O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the seventh O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fourteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the nineteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted corner and edge-sharing OTi4 trigonal pyramids. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-second O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.19 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–51°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–55°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.79–2.17 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–51°. The Ti–N bond length is 2.15 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.09 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.01 Å) and one longer (2.05 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.92–2.18 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–55°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.79–2.19 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.19 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–48°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.18 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–51°. The Ti–N bond length is 2.15 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.11 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–51°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.84–2.19 Å. In the eleventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–48°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.18 Å. In the twelfth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.96 Å) and one longer (2.01 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.94–2.18 Å. In the thirteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. Both Ti–N bond lengths are 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.93–2.18 Å. In the fourteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.03 Å) and one longer (2.05 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.94–2.18 Å. In the fifteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.96 Å) and one longer (2.00 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.96–2.17 Å. In the sixteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–53°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the seventeenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–53°. The Ti–N bond length is 2.00 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the second N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the third N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the fifth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the sixth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fifth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the ninth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and edges with two OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fourteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the seventeenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one NTi4 trigonal pyramid, and an edgeedge with one OTi4 trigonal pyramid. In the eighteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-first O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-third O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–54°. The Ti–N bond length is 2.02 Å. There are a spread of Ti–O bond distances ranging from 1.80–2.18 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. Both Ti–N bond lengths are 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.93–2.19 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–50°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.84–2.18 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.17 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.18 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.06 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.94–2.17 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 2.13 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.11 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.02 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 27–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the eleventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–54°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.78–2.18 Å. In the twelfth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.92 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.16 Å. In the thirteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–50°. The Ti–N bond length is 2.17 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the fourteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.04 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.94–2.18 Å. In the fifteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.19 Å. In the sixteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.01 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the seventeenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.13 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two NTi4 trigonal pyramids, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the second N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the third N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two NTi4 trigonal pyramids, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with two NTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fifth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the sixth N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fourth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fifth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the ninth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fifteenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eighteenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twentieth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti17(NO4)6 by Materials Project

Ti17(NO4)6 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are seventeen inequivalent Ti+3.88+ sites. In the first Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.90 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.17 Å. In the second Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.03 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.93–2.17 Å. In the third Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.17 Å. In the fourth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 2.13 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.11 Å. In the fifth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.17 Å. In the sixth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. Both Ti–N bond lengths are 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.94–2.19 Å. In the seventh Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.05 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.92–2.19 Å. In the eighth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–54°. The Ti–N bond length is 2.01 Å. There are a spread of Ti–O bond distances ranging from 1.80–2.19 Å. In the ninth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–50°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.85–2.18 Å. In the tenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–54°. The Ti–N bond length is 2.03 Å. There are a spread of Ti–O bond distances ranging from 1.78–2.19 Å. In the eleventh Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 29–50°. The Ti–N bond length is 2.17 Å. There are a spread of Ti–O bond distances ranging from 1.87–2.10 Å. In the twelfth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 26–52°. The Ti–N bond length is 1.99 Å. There are a spread of Ti–O bond distances ranging from 1.86–2.16 Å. In the thirteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.89–2.18 Å. In the fourteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There are one shorter (2.02 Å) and one longer (2.06 Å) Ti–N bond lengths. There are a spread of Ti–O bond distances ranging from 1.95–2.18 Å. In the fifteenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 28–52°. The Ti–N bond length is 1.98 Å. There are a spread of Ti–O bond distances ranging from 1.88–2.12 Å. In the sixteenth Ti+3.88+ site, Ti+3.88+ is bonded in a 6-coordinate geometry to two N3- and four O2- atoms. There is one shorter (1.95 Å) and one longer (2.01 Å) Ti–N bond length. There are a spread of Ti–O bond distances ranging from 1.95–2.17 Å. In the seventeenth Ti+3.88+ site, Ti+3.88+ is bonded to one N3- and five O2- atoms to form a mixture of distorted edge and corner-sharing TiNO5 octahedra. The corner-sharing octahedra tilt angles range from 25–48°. The Ti–N bond length is 1.91 Å. There are a spread of Ti–O bond distances ranging from 1.90–2.17 Å. There are six inequivalent N3- sites. In the first N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share a cornercorner with one OTi4 trigonal pyramid, corners with two NTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the second N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the third N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two NTi4 trigonal pyramids, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. In the fourth N3- site, N3- is bonded in a 4-coordinate geometry to four Ti+3.88+ atoms. In the fifth N3- site, N3- is bonded in a trigonal non-coplanar geometry to three Ti+3.88+ atoms. In the sixth N3- site, N3- is bonded to four Ti+3.88+ atoms to form distorted NTi4 trigonal pyramids that share corners with two NTi4 trigonal pyramids, corners with two OTi4 trigonal pyramids, and edges with four OTi4 trigonal pyramids. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the second O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the third O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the sixth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the eighth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the ninth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the tenth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, an edgeedge with one OTi4 trigonal pyramid, and edges with two NTi4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the twelfth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the fifteenth O2- site, O2- is bonded in a water-like geometry to two Ti+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Ti+3.88+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twentieth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to four Ti+3.88+ atoms to form a mixture of distorted edge and corner-sharing OTi4 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.88+ atoms. In the twenty-third O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share a cornercorner with one NTi4 trigonal pyramid, corners with two OTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to four Ti+3.88+ atoms to form distorted OTi4 trigonal pyramids that share corners with three OTi4 trigonal pyramids, edges with two NTi4 trigonal pyramids, and edges with two OTi4 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Fe7S8 by Materials Project

Fe7S8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are fourteen inequivalent Fe+2.29+ sites. In the first Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Fe–S bond distances ranging from 2.17–2.72 Å. In the second Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of Fe–S bond distances ranging from 2.17–2.51 Å. In the third Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Fe–S bond distances ranging from 2.18–2.66 Å. In the fourth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of Fe–S bond distances ranging from 2.20–2.61 Å. In the fifth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 44–57°. There are a spread of Fe–S bond distances ranging from 2.16–2.53 Å. In the sixth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 43–56°. There are a spread of Fe–S bond distances ranging from 2.18–2.66 Å. In the seventh Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of Fe–S bond distances ranging from 2.19–2.62 Å. In the eighth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Fe–S bond distances ranging from 2.22–2.33 Å. In the ninth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Fe–S bond distances ranging from 2.18–2.67 Å. In the tenth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of Fe–S bond distances ranging from 2.17–2.54 Å. In the eleventh Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 44–55°. There are a spread of Fe–S bond distances ranging from 2.19–2.62 Å. In the twelfth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of Fe–S bond distances ranging from 2.18–2.55 Å. In the thirteenth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Fe–S bond distances ranging from 2.22–2.32 Å. In the fourteenth Fe+2.29+ site, Fe+2.29+ is bonded to six S2- atoms to form a mixture of distorted corner, edge, and face-sharing FeS6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of Fe–S bond distances ranging from 2.19–2.61 Å. There are sixteen inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the second S2- site, S2- is bonded in a 6-coordinate geometry to six Fe+2.29+ atoms. In the third S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the fourth S2- site, S2- is bonded in a 6-coordinate geometry to six Fe+2.29+ atoms. In the fifth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the sixth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the seventh S2- site, S2- is bonded in a 6-coordinate geometry to six Fe+2.29+ atoms. In the eighth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the ninth S2- site, S2- is bonded in a 6-coordinate geometry to six Fe+2.29+ atoms. In the tenth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the eleventh S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the twelfth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the thirteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the fourteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the fifteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms. In the sixteenth S2- site, S2- is bonded in a 5-coordinate geometry to five Fe+2.29+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiTi4O8 by Materials Project

LiTi4O8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.04 Å. In the second Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.04 Å. In the third Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.04 Å. There are twelve inequivalent Ti+3.75+ sites. In the first Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Ti–O bond distances ranging from 1.97–2.03 Å. In the second Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of Ti–O bond distances ranging from 1.97–2.09 Å. In the third Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of Ti–O bond distances ranging from 1.98–2.13 Å. In the fourth Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Ti–O bond distances ranging from 1.96–2.07 Å. In the fifth Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Ti–O bond distances ranging from 1.96–2.02 Å. In the sixth Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Ti–O bond distances ranging from 1.94–2.06 Å. In the seventh Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the eighth Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–50°. There are a spread of Ti–O bond distances ranging from 1.95–2.04 Å. In the ninth Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.02 Å. In the tenth Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.05 Å. In the eleventh Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of Ti–O bond distances ranging from 1.91–2.09 Å. In the twelfth Ti+3.75+ site, Ti+3.75+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing TiO6 octahedra. The corner-sharing octahedra tilt angles range from 46–51°. There are a spread of Ti–O bond distances ranging from 1.95–2.06 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.75+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.75+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the eighth O2- site, O2- is bonded to one Li1+ and three Ti+3.75+ atoms to form OLiTi3 trigonal pyramids that share a cornercorner with one OLi2Ti3 square pyramid and corners with two equivalent OLiTi3 tetrahedra. In the ninth O2- site, O2- is bonded to one Li1+ and three Ti+3.75+ atoms to form a mixture of distorted edge and corner-sharing OLiTi3 tetrahedra. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.75+ atoms. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.75+ atoms. In the twelfth O2- site, O2- is bonded to two Li1+ and three Ti+3.75+ atoms to form a mixture of edge and corner-sharing OLi2Ti3 square pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.75+ atoms to form distorted OLiTi3 tetrahedra that share a cornercorner with one OLi2Ti3 square pyramid, a cornercorner with one OLiTi3 tetrahedra, corners with two equivalent OLiTi3 trigonal pyramids, and an edgeedge with one OLiTi3 tetrahedra. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.75+ atoms to form distorted OLiTi3 tetrahedra that share a cornercorner with one OLi2Ti3 square pyramid, a cornercorner with one OLiTi3 tetrahedra, corners with two equivalent OLiTi3 trigonal pyramids, an edgeedge with one OLi2Ti3 square pyramid, and an edgeedge with one OLiTi3 trigonal pyramid. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.75+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Ti+3.75+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the eighteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.75+ atoms to form OLiTi3 trigonal pyramids that share corners with two equivalent OLiTi3 tetrahedra, a cornercorner with one OLiTi3 trigonal pyramid, an edgeedge with one OLi2Ti3 square pyramid, and an edgeedge with one OLiTi3 tetrahedra. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Ti+3.75+ atoms to form OLiTi3 trigonal pyramids that share corners with two equivalent OLiTi3 tetrahedra, a cornercorner with one OLiTi3 trigonal pyramid, and an edgeedge with one OLi2Ti3 square pyramid. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.75+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.75+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Ti+3.75+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Ti+3.75+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ca(Fe9O13)2 by Materials Project

Ca(Fe9O13)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.44 Å. There are eighteen inequivalent Fe+2.78+ sites. In the first Fe+2.78+ site, Fe+2.78+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 10–15°. There are a spread of Fe–O bond distances ranging from 2.01–2.15 Å. In the second Fe+2.78+ site, Fe+2.78+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Fe–O bond distances ranging from 2.13–2.20 Å. In the third Fe+2.78+ site, Fe+2.78+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 6–17°. There are a spread of Fe–O bond distances ranging from 2.00–2.23 Å. In the fourth Fe+2.78+ site, Fe+2.78+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Fe–O bond distances ranging from 1.94–2.19 Å. In the fifth Fe+2.78+ site, Fe+2.78+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Fe–O bond distances ranging from 1.90–2.17 Å. In the sixth Fe+2.78+ site, Fe+2.78+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedral tilt angles are 6°. There are a spread of Fe–O bond distances ranging from 1.91–2.20 Å. In the seventh Fe+2.78+ site, Fe+2.78+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 14–16°. There are a spread of Fe–O bond distances ranging from 2.01–2.23 Å. In the eighth Fe+2.78+ site, Fe+2.78+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 13–15°. There are a spread of Fe–O bond distances ranging from 1.99–2.30 Å. In the ninth Fe+2.78+ site, Fe+2.78+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 10–11°. There are a spread of Fe–O bond distances ranging from 1.92–2.14 Å. In the tenth Fe+2.78+ site, Fe+2.78+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 10–11°. There are a spread of Fe–O bond distances ranging from 1.90–2.20 Å. In the eleventh Fe+2.78+ site, Fe+2.78+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 12–16°. There are a spread of Fe–O bond distances ranging from 1.90–2.30 Å. In the twelfth Fe+2.78+ site, Fe+2.78+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing FeO6 octahedra. The corner-sharing octahedra tilt angles range from 13–17°. There are a spread of Fe–O bond distances ranging from 1.89–2.34 Å. In the thirteenth Fe+2.78+ site, Fe+2.78+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 1.82–2.60 Å. In the fourteenth Fe+2.78+ site, Fe+2.78+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Fe–O bond distances ranging from 1.81–2.62 Å. In the fifteenth Fe+2.78+ site, Fe+2.78+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.90–2.09 Å. In the sixteenth Fe+2.78+ site, Fe+2.78+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.88–2.22 Å. In the seventeenth Fe+2.78+ site, Fe+2.78+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.83–2.31 Å. In the eighteenth Fe+2.78+ site, Fe+2.78+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Fe–O bond distances ranging from 1.84–2.28 Å. There are twenty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to six Fe+2.78+ atoms to form distorted OFe6 octahedra that share corners with four OFe5 square pyramids, edges with two equivalent OFe6 octahedra, edges with six OFe5 square pyramids, and edges with two OCaFe3 tetrahedra. In the second O2- site, O2- is bonded to six Fe+2.78+ atoms to form distorted OFe6 octahedra that share corners with four OFe5 square pyramids, edges with two equivalent OFe6 octahedra, edges with six OFe5 square pyramids, and edges with two OCaFe3 tetrahedra. In the third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ca2+ and two Fe+2.78+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ca2+ and two Fe+2.78+ atoms. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two Fe+2.78+ atoms. In the sixth O2- site, O2- is bonded in a bent 120 degrees geometry to two Fe+2.78+ atoms. In the seventh O2- site, O2- is bonded to five Fe+2.78+ atoms to form OFe5 square pyramids that share corners with two equivalent OFe6 octahedra, corners with four OCaFe3 tetrahedra, edges with three OFe6 octahedra, edges with four OFe5 square pyramids, and an edgeedge with one OCaFe3 tetrahedra. The corner-sharing octahedra tilt angles range from 5–6°. In the eighth O2- site, O2- is bonded to five Fe+2.78+ atoms to form distorted OFe5 square pyramids that share corners with two equivalent OFe6 octahedra, corners with four OCaFe3 tetrahedra, edges with three OFe6 octahedra, edges with four OFe5 square pyramids, and an edgeedge with one OCaFe3 tetrahedra. The corner-sharing octahedra tilt angles range from 3–4°. In the ninth O2- site, O2- is bonded to five Fe+2.78+ atoms to form OFe5 square pyramids that share corners with two equivalent OFe6 octahedra, a cornercorner with one OCaFe3 tetrahedra, edges with three OFe6 octahedra, and edges with four OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 10–12°. In the tenth O2- site, O2- is bonded to five Fe+2.78+ atoms to form distorted OFe5 square pyramids that share corners with two equivalent OFe6 octahedra, a cornercorner with one OCaFe3 tetrahedra, edges with three OFe6 octahedra, and edges with four OFe5 square pyramids. The corner-sharing octahedra tilt angles range from 11–13°. In the eleventh O2- site, O2- is bonded to one Ca2+ and three Fe+2.78+ atoms to form distorted OCaFe3 tetrahedra that share corners with five OFe5 square pyramids, corners with three OCaFe3 tetrahedra, edges with two OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and an edgeedge with one OCaFe3 tetrahedra. In the twelfth O2- site, O2- is bonded to one Ca2+ and three Fe+2.78+ atoms to form distorted OCaFe3 tetrahedra that share corners with five OFe5 square pyramids, corners with three OCaFe3 tetrahedra, edges with two OFe6 octahedra, an edgeedge with one OFe5 square pyramid, and an edgeedge with one OCaFe3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe+2.78+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe+2.78+ atoms. In the fifteenth O2- site, O2- is bonded to one Ca2+ and three Fe+2.78+ atoms to form distorted OCaFe3 tetrahedra that share corners with six OFe5 square pyramids, corners with three OCaFe3 tetrahedra, a cornercorner with one OFe5 trigonal bipyramid, an edgeedge with one OCaFe3 tetrahedra, and an edgeedge with one OFe5 trigonal bipyramid. In the sixteenth O2- site, O2- is bonded to one Ca2+ and three Fe+2.78+ atoms to form OCaFe3 tetrahedra that share corners with four OFe5 square pyramids, corners with three OCaFe3 tetrahedra, corners with three equivalent OFe5 trigonal bipyramids, an edgeedge with one OFe5 square pyramid, and an edgeedge with one OCaFe3 tetrahedra. In the seventeenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe+2.78+ atoms. In the eighteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to three Fe+2.78+ atoms. In the nineteenth O2- site, O2- is bonded to five Fe+2.78+ atoms to form distorted OFe5 trigonal bipyramids that share corners with five OFe5 square pyramids, corners with four OCaFe3 tetrahedra, edges with five OFe5 square pyramids, and an edgeedge with one OCaFe3 tetrahedra. In the twentieth O2- site, O2- is bonded to five Fe+2.78+ atoms to form distorted OFe5 square pyramids that share corners with five OFe5 square pyramids, corners with four OCaFe3 tetrahedra, edges with three OFe5 square pyramids, an edgeedge with one OCaFe3 tetrahedra, and edges with two equivalent OFe5 trigonal bipyramids. In the twenty-first O2- site, O2- is bonded to five Fe+2.78+ atoms to form a mixture of distorted edge and corner-sharing OFe5 square pyramids. In the twenty-second O2- site, O2- is bonded to five Fe+2.78+ atoms to form a mixture of edge and corner-sharing OFe5 square pyramids. In the twenty-third O2- site, O2- is bonded to five Fe+2.78+ atoms to form distorted OFe5 square pyramids that share corners with five OFe5 square pyramids, corners with two OCaFe3 tetrahedra, a cornercorner with one OFe5 trigonal bipyramid, edges with seven OFe5 square pyramids, and an edgeedge with one OFe5 trigonal bipyramid. In the twenty-fourth O2- site, O2- is bonded to five Fe+2.78+ atoms to form distorted OFe5 square pyramids that share corners with three OFe5 square pyramids, corners with two OCaFe3 tetrahedra, corners with three equivalent OFe5 trigonal bipyramids, and edges with eight OFe5 square pyramids. In the twenty-fifth O2- site, O2- is bonded to five Fe+2.78+ atoms to form distorted OFe5 square pyramids that share corners with six OFe5 square pyramids, a cornercorner with one OCaFe3 tetrahedra, edges with seven OFe5 square pyramids, and an edgeedge with one OFe5 trigonal bipyramid. In the twenty-sixth O2- site, O2- is bonded to five Fe+2.78+ atoms to form distorted OFe5 square pyramids that share corners with six OFe5 square pyramids, a cornercorner with one OCaFe3 tetrahedra, edges with seven OFe5 square pyramids, and an edgeedge with one OFe5 trigonal bipyramid.

36 MATERIALS SCIENCE↗

Materials Data on Tb3Ni7P5 by Materials Project

Tb3Ni7P5 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are twelve inequivalent Tb sites. In the first Tb site, Tb is bonded in a 2-coordinate geometry to nine Ni and six P atoms. There are a spread of Tb–Ni bond distances ranging from 2.95–3.06 Å. There are two shorter (2.87 Å) and four longer (2.95 Å) Tb–P bond lengths. In the second Tb site, Tb is bonded in a 2-coordinate geometry to nine Ni and six P atoms. There are a spread of Tb–Ni bond distances ranging from 2.95–3.05 Å. There are two shorter (2.87 Å) and four longer (2.95 Å) Tb–P bond lengths. In the third Tb site, Tb is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Tb–Ni bond distances ranging from 2.93–3.08 Å. There are a spread of Tb–P bond distances ranging from 2.89–2.95 Å. In the fourth Tb site, Tb is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Tb–Ni bond distances ranging from 2.94–3.08 Å. There are two shorter (2.89 Å) and four longer (2.94 Å) Tb–P bond lengths. In the fifth Tb site, Tb is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Tb–Ni bond distances ranging from 2.95–3.07 Å. There are two shorter (2.94 Å) and four longer (2.95 Å) Tb–P bond lengths. In the sixth Tb site, Tb is bonded in a 8-coordinate geometry to ten Ni and six P atoms. There are a spread of Tb–Ni bond distances ranging from 2.95–3.07 Å. There are two shorter (2.93 Å) and four longer (2.95 Å) Tb–P bond lengths. In the seventh Tb site, Tb is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Tb–Ni bond distances ranging from 2.94–3.07 Å. There are a spread of Tb–P bond distances ranging from 2.91–2.97 Å. In the eighth Tb site, Tb is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Tb–Ni bond distances ranging from 2.94–3.08 Å. There are a spread of Tb–P bond distances ranging from 2.90–2.97 Å. In the ninth Tb site, Tb is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Tb–Ni bond distances ranging from 2.94–3.07 Å. There are four shorter (2.91 Å) and two longer (2.97 Å) Tb–P bond lengths. In the tenth Tb site, Tb is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Tb–Ni bond distances ranging from 2.94–3.05 Å. There are four shorter (2.91 Å) and two longer (2.97 Å) Tb–P bond lengths. In the eleventh Tb site, Tb is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Tb–Ni bond distances ranging from 2.94–3.07 Å. There are a spread of Tb–P bond distances ranging from 2.90–2.97 Å. In the twelfth Tb site, Tb is bonded in a 10-coordinate geometry to eight Ni and six P atoms. There are a spread of Tb–Ni bond distances ranging from 2.95–3.05 Å. There are four shorter (2.91 Å) and two longer (2.97 Å) Tb–P bond lengths. There are twenty-eight inequivalent Ni sites. In the first Ni site, Ni is bonded to four Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.33 Å. In the second Ni site, Ni is bonded to four Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.33 Å. In the third Ni site, Ni is bonded to four Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.33 Å. In the fourth Ni site, Ni is bonded to four Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb4P4 tetrahedra. There are three shorter (2.29 Å) and one longer (2.33 Å) Ni–P bond lengths. In the fifth Ni site, Ni is bonded to four Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.34 Å. In the sixth Ni site, Ni is bonded to four Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.28–2.33 Å. In the seventh Ni site, Ni is bonded to three Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb3P4 tetrahedra. There are one shorter (2.30 Å) and three longer (2.32 Å) Ni–P bond lengths. In the eighth Ni site, Ni is bonded to three Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb3P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.26–2.32 Å. In the ninth Ni site, Ni is bonded in a 4-coordinate geometry to three Tb and four P atoms. There are a spread of Ni–P bond distances ranging from 2.25–2.37 Å. In the tenth Ni site, Ni is bonded in a 4-coordinate geometry to three Tb and four P atoms. There are two shorter (2.25 Å) and two longer (2.38 Å) Ni–P bond lengths. In the eleventh Ni site, Ni is bonded in a 4-coordinate geometry to three Tb and four P atoms. There are a spread of Ni–P bond distances ranging from 2.25–2.33 Å. In the twelfth Ni site, Ni is bonded in a 4-coordinate geometry to three Tb and four P atoms. There are two shorter (2.25 Å) and two longer (2.35 Å) Ni–P bond lengths. In the thirteenth Ni site, Ni is bonded in a distorted trigonal planar geometry to six Tb and three P atoms. There are two shorter (2.22 Å) and one longer (2.24 Å) Ni–P bond lengths. In the fourteenth Ni site, Ni is bonded in a distorted trigonal planar geometry to six Tb and three P atoms. There are two shorter (2.22 Å) and one longer (2.24 Å) Ni–P bond lengths. In the fifteenth Ni site, Ni is bonded in a distorted trigonal planar geometry to six Tb and three P atoms. There are two shorter (2.22 Å) and one longer (2.24 Å) Ni–P bond lengths. In the sixteenth Ni site, Ni is bonded in a 3-coordinate geometry to six Tb and three P atoms. There are two shorter (2.22 Å) and one longer (2.24 Å) Ni–P bond lengths. In the seventeenth Ni site, Ni is bonded in a distorted trigonal planar geometry to six Tb and three P atoms. There are two shorter (2.22 Å) and one longer (2.24 Å) Ni–P bond lengths. In the eighteenth Ni site, Ni is bonded in a distorted trigonal planar geometry to six Tb and three P atoms. There are two shorter (2.22 Å) and one longer (2.24 Å) Ni–P bond lengths. In the nineteenth Ni site, Ni is bonded to four Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.30–2.36 Å. In the twentieth Ni site, Ni is bonded to four Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.36 Å. In the twenty-first Ni site, Ni is bonded to four Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.31–2.35 Å. In the twenty-second Ni site, Ni is bonded to four Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.30–2.34 Å. In the twenty-third Ni site, Ni is bonded to four Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.30–2.35 Å. In the twenty-fourth Ni site, Ni is bonded to four Tb and four P atoms to form a mixture of distorted edge, face, and corner-sharing NiTb4P4 tetrahedra. There are a spread of Ni–P bond distances ranging from 2.30–2.34 Å. In the twenty-fifth Ni site, Ni is bonded in a distorted trigonal non-coplanar geometry to one Tb and three P atoms. There are one shorter (2.17 Å) and two longer (2.35 Å) Ni–P bond lengths. In the twenty-sixth Ni site, Ni is bonded in a distorted trigonal non-coplanar geometry to one Tb and three P atoms. There are one shorter (2.17 Å) and two longer (2.33 Å) Ni–P bond lengths. In the twenty-seventh Ni site, Ni is bonded in a distorted trigonal non-coplanar geometry to one Tb and three P atoms. There are one shorter (2.16 Å) and two longer (2.33 Å) Ni–P bond lengths. In the twenty-eighth Ni site, Ni is bonded in a 3-coordinate geometry to one Tb and three P atoms. There are one shorter (2.17 Å) and two longer (2.30 Å) Ni–P bond lengths. There are twenty inequivalent P sites. In the first P site, P is bonded in a 3-coordinate geometry to six Tb and three Ni atoms. In the second P site, P is bonded in a 3-coordinate geometry to six Tb and three Ni atoms. In the third P site, P is bonded in a 9-coordinate geometry to four Tb and five Ni atoms. In the fourth P site, P is bonded in a 9-coordinate geometry to four Tb and five Ni atoms. In the fifth P site, P is bonded in a 9-coordinate geometry to four Tb and five Ni atoms. In the sixth P site, P is bonded in a 9-coordinate geometry to four Tb and five Ni atoms. In the seventh P site, P is bonded in a 9-coordinate geometry to four Tb and five Ni atoms. In the eighth P site, P is bonded in a 9-coordinate geometry to four Tb and five Ni atoms. In the ninth P site, P is bonded in a 6-coordinate geometry to two equivalent Tb and six Ni atoms. In the tenth P site, P is bonded in a 9-coordinate geometry to two equivalent Tb and seven Ni atoms. In the eleventh P site, P is bonded in a 6-coordinate geometry to two equivalent Tb and six Ni atoms. In the twelfth P site, P is bonded in a 9-coordinate geometry to two equivalent Tb and seven Ni atoms. In the thirteenth P site, P is bonded in a 7-coordinate geometry to two equivalent Tb and five Ni atoms. In the fourteenth P site, P is bonded in a 7-coordinate geometry to two equivalent Tb and five Ni atoms. In the fifteenth P site, P is bonded in a 9-coordinate geometry to four Tb and five Ni atoms. In the sixteenth P site, P is bonded in a 9-coordinate geometry to four Tb and five Ni atoms. In the seventeenth P site, P is bonded in a 9-coordinate geometry to four Tb and five Ni atoms. In the eighteenth P site, P is bonded in a 9-coordinate geometry to four Tb and five Ni atoms. In the nineteenth P site, P is bonded in a 9-coordinate geometry to four Tb and five Ni atoms. In the twentieth P site, P is bonded in a 9-coordinate geometry to four Tb and five Ni atoms.

36 MATERIALS SCIENCE↗

Materials Data on Pr4Fe29Si5 by Materials Project

Pr4Fe29Si5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Pr sites. In the first Pr site, Pr is bonded in a 10-coordinate geometry to seventeen Fe and two Si atoms. There are a spread of Pr–Fe bond distances ranging from 3.03–3.34 Å. There are one shorter (3.14 Å) and one longer (3.37 Å) Pr–Si bond lengths. In the second Pr site, Pr is bonded in a 10-coordinate geometry to eighteen Fe and one Si atom. There are a spread of Pr–Fe bond distances ranging from 3.03–3.36 Å. The Pr–Si bond length is 3.13 Å. There are sixteen inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Pr, seven Fe, and three Si atoms. There are a spread of Fe–Fe bond distances ranging from 2.43–2.73 Å. There are a spread of Fe–Si bond distances ranging from 2.44–2.85 Å. In the second Fe site, Fe is bonded to two equivalent Pr, eight Fe, and two equivalent Si atoms to form a mixture of distorted face, edge, and corner-sharing FePr2Fe8Si2 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.42–2.73 Å. There are one shorter (2.74 Å) and one longer (2.75 Å) Fe–Si bond lengths. In the third Fe site, Fe is bonded to two Pr, eight Fe, and two equivalent Si atoms to form a mixture of distorted face, edge, and corner-sharing FePr2Fe8Si2 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.73 Å. Both Fe–Si bond lengths are 2.75 Å. In the fourth Fe site, Fe is bonded in a 12-coordinate geometry to two Pr, seven Fe, and three Si atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.72 Å. There are a spread of Fe–Si bond distances ranging from 2.44–2.85 Å. In the fifth Fe site, Fe is bonded to two Pr, eight Fe, and two equivalent Si atoms to form a mixture of distorted face, edge, and corner-sharing FePr2Fe8Si2 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.46–2.73 Å. Both Fe–Si bond lengths are 2.70 Å. In the sixth Fe site, Fe is bonded to two Pr, eight Fe, and two equivalent Si atoms to form a mixture of distorted face, edge, and corner-sharing FePr2Fe8Si2 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.46–2.72 Å. There are one shorter (2.72 Å) and one longer (2.73 Å) Fe–Si bond lengths. In the seventh Fe site, Fe is bonded to three Pr, seven Fe, and two Si atoms to form a mixture of distorted face, edge, and corner-sharing FePr3Fe7Si2 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.55 Å. There are one shorter (2.43 Å) and one longer (2.62 Å) Fe–Si bond lengths. In the eighth Fe site, Fe is bonded to three Pr, eight Fe, and one Si atom to form a mixture of face, edge, and corner-sharing FePr3Fe8Si cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.52 Å. The Fe–Si bond length is 2.59 Å. In the ninth Fe site, Fe is bonded to three Pr, eight Fe, and one Si atom to form a mixture of face, edge, and corner-sharing FePr3Fe8Si cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.46 Å. The Fe–Si bond length is 2.59 Å. In the tenth Fe site, Fe is bonded to three Pr, seven Fe, and two Si atoms to form a mixture of distorted face, edge, and corner-sharing FePr3Fe7Si2 cuboctahedra. There are one shorter (2.44 Å) and one longer (2.51 Å) Fe–Fe bond lengths. There are one shorter (2.42 Å) and one longer (2.63 Å) Fe–Si bond lengths. In the eleventh Fe site, Fe is bonded to three Pr, eight Fe, and one Si atom to form a mixture of face, edge, and corner-sharing FePr3Fe8Si cuboctahedra. Both Fe–Fe bond lengths are 2.44 Å. The Fe–Si bond length is 2.62 Å. In the twelfth Fe site, Fe is bonded to three Pr, eight Fe, and one Si atom to form a mixture of face, edge, and corner-sharing FePr3Fe8Si cuboctahedra. Both Fe–Fe bond lengths are 2.46 Å. The Fe–Si bond length is 2.53 Å. In the thirteenth Fe site, Fe is bonded to two Pr, eight Fe, and two Si atoms to form a mixture of distorted face, edge, and corner-sharing FePr2Fe8Si2 cuboctahedra. There are one shorter (2.53 Å) and one longer (2.59 Å) Fe–Si bond lengths. In the fourteenth Fe site, Fe is bonded to two equivalent Pr, eight Fe, and two equivalent Si atoms to form a mixture of distorted face, edge, and corner-sharing FePr2Fe8Si2 cuboctahedra. Both Fe–Si bond lengths are 2.54 Å. In the fifteenth Fe site, Fe is bonded to two equivalent Pr, eight Fe, and two equivalent Si atoms to form a mixture of distorted face, edge, and corner-sharing FePr2Fe8Si2 cuboctahedra. Both Fe–Si bond lengths are 2.59 Å. In the sixteenth Fe site, Fe is bonded to two equivalent Pr, eight Fe, and two equivalent Si atoms to form a mixture of distorted face, edge, and corner-sharing FePr2Fe8Si2 cuboctahedra. Both Fe–Si bond lengths are 2.61 Å. There are three inequivalent Si sites. In the first Si site, Si is bonded in a 12-coordinate geometry to two equivalent Pr, eight Fe, and two equivalent Si atoms. Both Si–Si bond lengths are 2.74 Å. In the second Si site, Si is bonded in a 11-coordinate geometry to one Pr, eleven Fe, and two Si atoms. The Si–Si bond length is 2.51 Å. In the third Si site, Si is bonded in a 8-coordinate geometry to one Pr, twelve Fe, and one Si atom. The Si–Si bond length is 2.53 Å.

36 MATERIALS SCIENCE↗

Materials Data on Nd4Fe29Si5 by Materials Project

Nd4Fe29Si5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Nd sites. In the first Nd site, Nd is bonded in a 10-coordinate geometry to eighteen Fe and one Si atom. There are a spread of Nd–Fe bond distances ranging from 3.01–3.33 Å. The Nd–Si bond length is 3.08 Å. In the second Nd site, Nd is bonded in a 10-coordinate geometry to seventeen Fe and two Si atoms. There are a spread of Nd–Fe bond distances ranging from 3.00–3.31 Å. There are one shorter (3.10 Å) and one longer (3.34 Å) Nd–Si bond lengths. There are sixteen inequivalent Fe sites. In the first Fe site, Fe is bonded in a 12-coordinate geometry to two equivalent Nd, seven Fe, and three Si atoms. There are a spread of Fe–Fe bond distances ranging from 2.41–2.70 Å. There are a spread of Fe–Si bond distances ranging from 2.42–2.85 Å. In the second Fe site, Fe is bonded to two equivalent Nd, eight Fe, and two equivalent Si atoms to form a mixture of distorted edge, corner, and face-sharing FeNd2Fe8Si2 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.41–2.70 Å. Both Fe–Si bond lengths are 2.74 Å. In the third Fe site, Fe is bonded in a 12-coordinate geometry to two Nd, seven Fe, and three Si atoms. There are a spread of Fe–Fe bond distances ranging from 2.44–2.69 Å. There are a spread of Fe–Si bond distances ranging from 2.42–2.85 Å. In the fourth Fe site, Fe is bonded to two Nd, eight Fe, and two equivalent Si atoms to form a mixture of distorted edge, corner, and face-sharing FeNd2Fe8Si2 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.43–2.70 Å. There are one shorter (2.74 Å) and one longer (2.75 Å) Fe–Si bond lengths. In the fifth Fe site, Fe is bonded to two Nd, eight Fe, and two equivalent Si atoms to form a mixture of distorted edge, corner, and face-sharing FeNd2Fe8Si2 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.69 Å. Both Fe–Si bond lengths are 2.72 Å. In the sixth Fe site, Fe is bonded to two Nd, eight Fe, and two equivalent Si atoms to form a mixture of distorted edge, corner, and face-sharing FeNd2Fe8Si2 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.44–2.71 Å. There are one shorter (2.68 Å) and one longer (2.69 Å) Fe–Si bond lengths. In the seventh Fe site, Fe is bonded to three Nd, eight Fe, and one Si atom to form a mixture of edge, corner, and face-sharing FeNd3Fe8Si cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.42–2.50 Å. The Fe–Si bond length is 2.57 Å. In the eighth Fe site, Fe is bonded to three Nd, seven Fe, and two Si atoms to form a mixture of distorted edge, corner, and face-sharing FeNd3Fe7Si2 cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.41–2.54 Å. There are one shorter (2.41 Å) and one longer (2.60 Å) Fe–Si bond lengths. In the ninth Fe site, Fe is bonded to three Nd, seven Fe, and two Si atoms to form a mixture of distorted edge, corner, and face-sharing FeNd3Fe7Si2 cuboctahedra. There are one shorter (2.42 Å) and one longer (2.48 Å) Fe–Fe bond lengths. There are one shorter (2.40 Å) and one longer (2.61 Å) Fe–Si bond lengths. In the tenth Fe site, Fe is bonded to three Nd, eight Fe, and one Si atom to form a mixture of edge, corner, and face-sharing FeNd3Fe8Si cuboctahedra. There are a spread of Fe–Fe bond distances ranging from 2.42–2.45 Å. The Fe–Si bond length is 2.56 Å. In the eleventh Fe site, Fe is bonded to three Nd, eight Fe, and one Si atom to form a mixture of distorted edge, corner, and face-sharing FeNd3Fe8Si cuboctahedra. Both Fe–Fe bond lengths are 2.43 Å. The Fe–Si bond length is 2.50 Å. In the twelfth Fe site, Fe is bonded to three Nd, eight Fe, and one Si atom to form a mixture of edge, corner, and face-sharing FeNd3Fe8Si cuboctahedra. Both Fe–Fe bond lengths are 2.42 Å. The Fe–Si bond length is 2.59 Å. In the thirteenth Fe site, Fe is bonded to two Nd, eight Fe, and two Si atoms to form a mixture of distorted edge, corner, and face-sharing FeNd2Fe8Si2 cuboctahedra. There are one shorter (2.51 Å) and one longer (2.57 Å) Fe–Si bond lengths. In the fourteenth Fe site, Fe is bonded to two equivalent Nd, eight Fe, and two equivalent Si atoms to form a mixture of distorted edge, corner, and face-sharing FeNd2Fe8Si2 cuboctahedra. Both Fe–Si bond lengths are 2.51 Å. In the fifteenth Fe site, Fe is bonded to two equivalent Nd, eight Fe, and two equivalent Si atoms to form a mixture of distorted edge, corner, and face-sharing FeNd2Fe8Si2 cuboctahedra. Both Fe–Si bond lengths are 2.57 Å. In the sixteenth Fe site, Fe is bonded to two equivalent Nd, eight Fe, and two equivalent Si atoms to form a mixture of distorted edge, corner, and face-sharing FeNd2Fe8Si2 cuboctahedra. Both Fe–Si bond lengths are 2.59 Å. There are three inequivalent Si sites. In the first Si site, Si is bonded in a 12-coordinate geometry to two equivalent Nd, eight Fe, and two equivalent Si atoms. Both Si–Si bond lengths are 2.73 Å. In the second Si site, Si is bonded in a 7-coordinate geometry to one Nd, twelve Fe, and one Si atom. The Si–Si bond length is 2.54 Å. In the third Si site, Si is bonded in a 11-coordinate geometry to one Nd, eleven Fe, and two Si atoms. The Si–Si bond length is 2.51 Å.

36 MATERIALS SCIENCE↗

Materials Data on In14Sn5S26 by Materials Project

In14Sn5S26 is Orthorhombic Perovskite-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are fourteen inequivalent In3+ sites. In the first In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 8–51°. There are a spread of In–S bond distances ranging from 2.50–2.96 Å. In the second In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 3–48°. There are a spread of In–S bond distances ranging from 2.52–2.82 Å. In the third In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 9–63°. There are a spread of In–S bond distances ranging from 2.58–3.03 Å. In the fourth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 7–63°. There are a spread of In–S bond distances ranging from 2.60–2.74 Å. In the fifth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of In–S bond distances ranging from 2.58–2.76 Å. In the sixth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 56–59°. There are a spread of In–S bond distances ranging from 2.63–2.73 Å. In the seventh In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of In–S bond distances ranging from 2.53–2.81 Å. In the eighth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedral tilt angles are 9°. There are a spread of In–S bond distances ranging from 2.51–3.00 Å. In the ninth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of In–S bond distances ranging from 2.50–2.89 Å. In the tenth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of distorted edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 51–63°. There are a spread of In–S bond distances ranging from 2.55–2.83 Å. In the eleventh In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 48–63°. There are a spread of In–S bond distances ranging from 2.54–2.76 Å. In the twelfth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of In–S bond distances ranging from 2.56–2.73 Å. In the thirteenth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of In–S bond distances ranging from 2.61–2.76 Å. In the fourteenth In3+ site, In3+ is bonded to six S2- atoms to form a mixture of edge and corner-sharing InS6 octahedra. The corner-sharing octahedral tilt angles are 59°. There are a spread of In–S bond distances ranging from 2.56–2.76 Å. There are five inequivalent Sn2+ sites. In the first Sn2+ site, Sn2+ is bonded in a 7-coordinate geometry to five S2- atoms. There are a spread of Sn–S bond distances ranging from 2.82–3.05 Å. In the second Sn2+ site, Sn2+ is bonded in a 7-coordinate geometry to seven S2- atoms. There are a spread of Sn–S bond distances ranging from 2.85–3.12 Å. In the third Sn2+ site, Sn2+ is bonded in a 6-coordinate geometry to six S2- atoms. There are a spread of Sn–S bond distances ranging from 2.70–3.19 Å. In the fourth Sn2+ site, Sn2+ is bonded in a 5-coordinate geometry to five S2- atoms. There are a spread of Sn–S bond distances ranging from 2.82–2.98 Å. In the fifth Sn2+ site, Sn2+ is bonded in a 4-coordinate geometry to eight S2- atoms. There are a spread of Sn–S bond distances ranging from 2.91–3.29 Å. There are twenty-six inequivalent S2- sites. In the first S2- site, S2- is bonded in a 5-coordinate geometry to three In3+ and two equivalent Sn2+ atoms. In the second S2- site, S2- is bonded in a 5-coordinate geometry to three In3+ and two equivalent Sn2+ atoms. In the third S2- site, S2- is bonded to five In3+ and one Sn2+ atom to form distorted edge-sharing SIn5Sn square pyramids. In the fourth S2- site, S2- is bonded to five In3+ atoms to form edge-sharing SIn5 square pyramids. In the fifth S2- site, S2- is bonded in a rectangular see-saw-like geometry to four In3+ atoms. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to four In3+ atoms. In the seventh S2- site, S2- is bonded to three In3+ and one Sn2+ atom to form SIn3Sn trigonal pyramids that share corners with two equivalent SIn5 square pyramids, corners with two equivalent SIn3Sn trigonal pyramids, an edgeedge with one SIn5 square pyramid, and edges with two equivalent SInSn4 trigonal bipyramids. In the eighth S2- site, S2- is bonded in a 4-coordinate geometry to three In3+ and two Sn2+ atoms. In the ninth S2- site, S2- is bonded in a 3-coordinate geometry to three In3+ atoms. In the tenth S2- site, S2- is bonded in a 3-coordinate geometry to three In3+ and two equivalent Sn2+ atoms. In the eleventh S2- site, S2- is bonded in a 3-coordinate geometry to three In3+ atoms. In the twelfth S2- site, S2- is bonded in a 5-coordinate geometry to three In3+ and two equivalent Sn2+ atoms. In the thirteenth S2- site, S2- is bonded in a trigonal non-coplanar geometry to three In3+ atoms. In the fourteenth S2- site, S2- is bonded in a 5-coordinate geometry to three In3+ and two equivalent Sn2+ atoms. In the fifteenth S2- site, S2- is bonded to five In3+ atoms to form SIn5 square pyramids that share corners with two equivalent SIn5 square pyramids, corners with two equivalent SInSn4 trigonal bipyramids, corners with two equivalent SIn3Sn trigonal pyramids, edges with three SIn5 square pyramids, and an edgeedge with one SIn3Sn trigonal pyramid. In the sixteenth S2- site, S2- is bonded to five In3+ atoms to form SIn5 square pyramids that share corners with two equivalent SIn5 square pyramids, corners with two equivalent SInSn4 trigonal bipyramids, and edges with three SIn5 square pyramids. In the seventeenth S2- site, S2- is bonded in a 5-coordinate geometry to three In3+ and two equivalent Sn2+ atoms. In the eighteenth S2- site, S2- is bonded in a 5-coordinate geometry to three In3+ and two equivalent Sn2+ atoms. In the nineteenth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three In3+ atoms. In the twentieth S2- site, S2- is bonded in a distorted trigonal non-coplanar geometry to three In3+ atoms. In the twenty-first S2- site, S2- is bonded to one In3+ and four Sn2+ atoms to form distorted SInSn4 trigonal bipyramids that share corners with two equivalent SIn5 square pyramids, edges with two equivalent SInSn4 trigonal bipyramids, and edges with two equivalent SIn3Sn trigonal pyramids. In the twenty-second S2- site, S2- is bonded to one In3+ and four Sn2+ atoms to form distorted SInSn4 trigonal bipyramids that share corners with two equivalent SIn5 square pyramids and edges with two equivalent SInSn4 trigonal bipyramids. In the twenty-third S2- site, S2- is bonded in a 3-coordinate geometry to three In3+ atoms. In the twenty-fourth S2- site, S2- is bonded in a 5-coordinate geometry to three In3+ and two equivalent Sn2+ atoms. In the twenty-fifth S2- site, S2- is bonded in a 4-coordinate geometry to three In3+ and two Sn2+ atoms. In the twenty-sixth S2- site, S2- is bonded in a 4-coordinate geometry to three In3+ and one Sn2+ atom.

36 MATERIALS SCIENCE↗