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Materials Data on Li4Mn3Nb2Co3O16 by Materials Project

Li4Nb2Mn3Co3O16 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent NbO6 octahedra, corners with four CoO6 octahedra, and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two MnO6 octahedra, corners with three equivalent NbO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–68°. There are a spread of Li–O bond distances ranging from 1.84–1.98 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with two CoO6 octahedra, corners with three equivalent NbO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 60–68°. There are a spread of Li–O bond distances ranging from 1.84–1.99 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three equivalent NbO6 octahedra, corners with four MnO6 octahedra, and corners with five CoO6 octahedra. The corner-sharing octahedra tilt angles range from 54–65°. There are a spread of Li–O bond distances ranging from 1.97–2.07 Å. There are two inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with two equivalent CoO6 octahedra, corners with four MnO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with two CoO6 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There are a spread of Nb–O bond distances ranging from 1.93–2.16 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four CoO6 octahedra, corners with six LiO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Nb–O bond distances ranging from 1.93–2.29 Å. There are three inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with four CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Mn–O bond distances ranging from 1.91–2.04 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Mn–O bond distances ranging from 1.95–2.33 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Mn–O bond distances ranging from 1.95–2.32 Å. There are three inequivalent Co+2.33+ sites. In the first Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of Co–O bond distances ranging from 1.90–2.18 Å. In the second Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent CoO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of Co–O bond distances ranging from 1.99–2.18 Å. In the third Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with four LiO4 tetrahedra, an edgeedge with one NbO6 octahedra, edges with four MnO6 octahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–43°. There are a spread of Co–O bond distances ranging from 1.92–1.99 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom. In the second O2- site, O2- is bonded to one Li1+, one Nb5+, and two Co+2.33+ atoms to form distorted OLiNbCo2 tetrahedra that share corners with three OLiMnCo2 tetrahedra, corners with two OLiMnNbCo trigonal pyramids, and edges with three OLiMnNbCo trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+, one Mn+3.67+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with four OLiMnCo2 tetrahedra, an edgeedge with one OLiNbCo2 tetrahedra, and edges with two OLiMnNbCo trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, one Mn+3.67+, and two Co+2.33+ atoms to form OLiMnCo2 tetrahedra that share corners with two equivalent OLiNbCo2 tetrahedra and corners with seven OLiMnCo2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Co+2.33+ atom to form corner-sharing OLiMn2Co tetrahedra. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom. In the seventh O2- site, O2- is bonded to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom to form distorted OLiMnNbCo trigonal pyramids that share corners with four OLiNbCo2 tetrahedra, a cornercorner with one OLiMnNbCo trigonal pyramid, an edgeedge with one OLiNbCo2 tetrahedra, and edges with two OLiMnNbCo trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom to form distorted OLiMnNbCo trigonal pyramids that share corners with four OLiNbCo2 tetrahedra, a cornercorner with one OLiMnNbCo trigonal pyramid, an edgeedge with one OLiNbCo2 tetrahedra, and edges with two OLiMnNbCo trigonal pyramids. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, and two Co+2.33+ atoms. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, and two Mn+3.67+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom. In the twelfth O2- site, O2- is bonded to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom to form distorted OLiMnNbCo tetrahedra that share corners with two equivalent OLiMn2Co tetrahedra, a cornercorner with one OLiMnCo2 trigonal pyramid, and an edgeedge with one OLiMn2Co tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, two Mn+3.67+, and one Co+2.33+ atom to form distorted OLiMn2Co tetrahedra that share corners with four OLiNbCo2 tetrahedra, corners with two OLiMnNbCo trigonal pyramids, and an edgeedge with one OLiMnNbCo tetrahedra. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, one Nb5+, and two Mn+3.67+ atoms. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Nb5+, one Mn+3.67+, and one Co+2.33+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg3BH2O5F by Materials Project

Mg3BH2O5F crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO5F octahedra and edges with four MgO6 octahedra. The corner-sharing octahedra tilt angles range from 59–61°. There are a spread of Mg–O bond distances ranging from 2.08–2.16 Å. In the second Mg2+ site, Mg2+ is bonded to three O2- and three F1- atoms to form MgO3F3 octahedra that share corners with four MgO5F octahedra and edges with four MgO3F3 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are one shorter (2.09 Å) and two longer (2.14 Å) Mg–O bond lengths. There are one shorter (1.99 Å) and two longer (2.06 Å) Mg–F bond lengths. In the third Mg2+ site, Mg2+ is bonded to five O2- and one F1- atom to form MgO5F octahedra that share corners with four MgO6 octahedra and edges with four MgO5F octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Mg–O bond distances ranging from 2.08–2.16 Å. The Mg–F bond length is 2.04 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra and edges with four MgO5F octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Mg–O bond distances ranging from 2.03–2.20 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with four MgO6 octahedra and edges with four MgO3F3 octahedra. The corner-sharing octahedra tilt angles range from 57–59°. There are a spread of Mg–O bond distances ranging from 2.06–2.17 Å. In the sixth Mg2+ site, Mg2+ is bonded to four O2- and two equivalent F1- atoms to form MgO4F2 octahedra that share corners with four MgO3F3 octahedra and edges with four MgO6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are a spread of Mg–O bond distances ranging from 2.01–2.17 Å. Both Mg–F bond lengths are 2.06 Å. There are two inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.40 Å) and one longer (1.41 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.40 Å. There are four inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted single-bond geometry to three Mg2+ and one H1+ atom. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to three Mg2+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted single-bond geometry to three Mg2+ and one H1+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted single-bond geometry to three Mg2+ and one H1+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mg2+ and one B3+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to three Mg2+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to three Mg2+ and one H1+ atom. There are two inequivalent F1- sites. In the first F1- site, F1- is bonded in a trigonal planar geometry to three Mg2+ atoms. In the second F1- site, F1- is bonded in a trigonal planar geometry to three Mg2+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiNbO3 by Materials Project

LiNbO3 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty-six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 2-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.71 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent NbO6 octahedra, corners with three LiO6 octahedra, edges with three NbO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 26–61°. There are a spread of Li–O bond distances ranging from 1.99–2.29 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three NbO6 octahedra, edges with two equivalent NbO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 26–57°. There are a spread of Li–O bond distances ranging from 1.97–2.18 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.46 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.31 Å. In the sixth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.03–2.32 Å. In the seventh Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.33 Å. In the eighth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.49 Å. In the ninth Li1+ site, Li1+ is bonded in a 2-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.76 Å. In the tenth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.67 Å. In the eleventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.75 Å. In the twelfth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.70 Å. In the thirteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.61 Å. In the fourteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three NbO6 octahedra, edges with three NbO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 29–55°. There are a spread of Li–O bond distances ranging from 2.02–2.18 Å. In the fifteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three LiO6 octahedra, corners with three NbO6 octahedra, edges with three NbO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 29–59°. There are a spread of Li–O bond distances ranging from 2.03–2.25 Å. In the sixteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.05–2.59 Å. In the seventeenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three LiO6 octahedra, corners with three NbO6 octahedra, edges with three NbO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 31–53°. There are a spread of Li–O bond distances ranging from 2.07–2.15 Å. In the eighteenth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three LiO6 octahedra, corners with three NbO6 octahedra, edges with three NbO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 31–55°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the nineteenth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.04–2.58 Å. In the twentieth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three LiO6 octahedra, corners with three NbO6 octahedra, edges with three NbO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 32–52°. There are a spread of Li–O bond distances ranging from 2.08–2.15 Å. In the twenty-first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three LiO6 octahedra, corners with three NbO6 octahedra, edges with three NbO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 32–55°. There are a spread of Li–O bond distances ranging from 2.08–2.20 Å. In the twenty-second Li1+ site, Li1+ is bonded in a 3-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.01–2.59 Å. In the twenty-third Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three LiO6 octahedra, corners with three NbO6 octahedra, edges with three NbO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 32–53°. There are a spread of Li–O bond distances ranging from 2.06–2.17 Å. In the twenty-fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three LiO6 octahedra, corners with three NbO6 octahedra, edges with three NbO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 32–55°. There are a spread of Li–O bond distances ranging from 2.03–2.21 Å. In the twenty-fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three LiO6 octahedra, corners with three NbO6 octahedra, edges with three NbO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 23–57°. There are a spread of Li–O bond distances ranging from 2.03–2.17 Å. In the twenty-sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share corners with three LiO6 octahedra, corners with three NbO6 octahedra, edges with three NbO6 octahedra, a faceface with one LiO6 octahedra, and a faceface with one NbO6 octahedra. The corner-sharing octahedra tilt angles range from 23–58°. There are a spread of Li–O bond distances ranging from 1.98–2.22 Å. There are twenty-six inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with three LiO6 octahedra, corners with six NbO6 octahedra, edges with three LiO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 16–59°. There are a spread of Nb–O bond distances ranging from 1.86–2.30 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with two equivalent LiO6 octahedra, corners with three equivalent NbO6 octahedra, edges with two equivalent LiO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–57°. There are a spread of Nb–O bond distances ranging from 1.84–2.29 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share corners with three LiO6 octahedra, corners with six NbO6 octahedra, edges with three LiO6 octahedra, and a faceface with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 20–61°. There are a spread of Nb–O bond distances ranging from 1.86–2.27 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of Nb–O bond distances ranging from 1.83–2.33 Å. In the fifth Nb5+ site, Nb5+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Nb–O bond distances ranging from 1.81–2.41 Å. In the sixth Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 25–40°. There are a spread of Nb–O bond distances ranging from 1.90–2.16 Å. In the seventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 25–49°. There are a spread of Nb–O bond distances ranging from 1.84–2.25 Å. In the eighth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 25–43°. There are a spread of Nb–O bond distances ranging from 1.90–2.16 Å. In the ninth Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 25–41°. There are a spread of Nb–O bond distances ranging from 1.89–2.14 Å. In the tenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 22–41°. There are a spread of Nb–O bond distances ranging from 1.92–2.15 Å. In the eleventh Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 22–43°. There are a spread of Nb–O bond distances ranging from 1.89–2.14 Å. In the twelfth Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 19–50°. There are a spread of Nb–O bond distances ranging from 1.86–2.21 Å. In the thirteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 19–41°. There are a spread of Nb–O bond distances ranging from 1.86–2.21 Å. In the fourteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 14–51°. There are a spread of Nb–O bond distances ranging from 1.84–2.31 Å. In the fifteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 14–51°. There are a spread of Nb–O bond distances ranging from 1.82–2.25 Å. In the sixteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted NbO6 octahedra that share a cornercorner with one LiO6 octahedra, corners with six NbO6 octahedra, and an edgeedge with one LiO6 octahedra. The corner-sharing octahedra tilt angles range from 24–57°. There are a spread of Nb–O bond distances ranging from 1.86–2.32 Å. In the seventeenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form distorted corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 21–53°. There are a spread of Nb–O bond distances ranging from 1.85–2.30 Å. In the eighteenth Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with three LiO6 octahedra, corners with six NbO6 octahedra, edges with three LiO6 octahedra, and a facefac

36 MATERIALS SCIENCE↗

Materials Data on Ti2(Mo3Se4)5 by Materials Project

Ti2(Mo3Se4)5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six Se2- atoms to form distorted TiSe6 octahedra that share corners with eight MoSe5 square pyramids, edges with four MoSe5 square pyramids, and faces with two MoSe5 square pyramids. There are a spread of Ti–Se bond distances ranging from 2.47–3.09 Å. In the second Ti4+ site, Ti4+ is bonded to six Se2- atoms to form distorted TiSe6 octahedra that share corners with eight MoSe5 square pyramids, edges with four MoSe5 square pyramids, and faces with two MoSe5 square pyramids. There are a spread of Ti–Se bond distances ranging from 2.48–3.09 Å. There are fifteen inequivalent Mo+2.13+ sites. In the first Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with three TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 39–54°. There are a spread of Mo–Se bond distances ranging from 2.53–2.73 Å. In the second Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, an edgeedge with one TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.56–2.74 Å. In the third Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one TiSe6 octahedra. There are a spread of Mo–Se bond distances ranging from 2.58–2.66 Å. In the fourth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 56°. There are a spread of Mo–Se bond distances ranging from 2.56–2.67 Å. In the fifth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, an edgeedge with one TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.57–2.77 Å. In the sixth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedral tilt angles are 40°. There are a spread of Mo–Se bond distances ranging from 2.53–2.71 Å. In the seventh Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with two equivalent TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Mo–Se bond distances ranging from 2.57–2.72 Å. In the eighth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with two TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.58–2.80 Å. In the ninth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one TiSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mo–Se bond distances ranging from 2.57–2.70 Å. In the tenth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one TiSe6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Mo–Se bond distances ranging from 2.57–2.66 Å. In the eleventh Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with two TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.58–2.78 Å. In the twelfth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with three TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 16–57°. There are a spread of Mo–Se bond distances ranging from 2.59–2.72 Å. In the thirteenth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with three equivalent TiSe6 octahedra, corners with four MoSe5 square pyramids, and edges with five MoSe5 square pyramids. The corner-sharing octahedra tilt angles range from 18–55°. There are a spread of Mo–Se bond distances ranging from 2.57–2.72 Å. In the fourteenth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share corners with four MoSe5 square pyramids, edges with two equivalent TiSe6 octahedra, and edges with five MoSe5 square pyramids. There are a spread of Mo–Se bond distances ranging from 2.57–2.79 Å. In the fifteenth Mo+2.13+ site, Mo+2.13+ is bonded to five Se2- atoms to form MoSe5 square pyramids that share a cornercorner with one TiSe6 octahedra, corners with four MoSe5 square pyramids, edges with five MoSe5 square pyramids, and a faceface with one TiSe6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mo–Se bond distances ranging from 2.57–2.70 Å. There are twenty inequivalent Se2- sites. In the first Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the second Se2- site, Se2- is bonded in a 1-coordinate geometry to one Ti4+ and three Mo+2.13+ atoms. In the third Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the fourth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the fifth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the sixth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the seventh Se2- site, Se2- is bonded in a 6-coordinate geometry to three Mo+2.13+ atoms. In the eighth Se2- site, Se2- is bonded in a 4-coordinate geometry to four Mo+2.13+ atoms. In the ninth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the tenth Se2- site, Se2- is bonded in a 4-coordinate geometry to one Ti4+ and three Mo+2.13+ atoms. In the eleventh Se2- site, Se2- is bonded in a 1-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the twelfth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the thirteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the fourteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the fifteenth Se2- site, Se2- is bonded in a 4-coordinate geometry to one Ti4+ and three Mo+2.13+ atoms. In the sixteenth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the seventeenth Se2- site, Se2- is bonded in a 1-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms. In the eighteenth Se2- site, Se2- is bonded in a 1-coordinate geometry to one Ti4+ and three Mo+2.13+ atoms. In the nineteenth Se2- site, Se2- is bonded in a distorted rectangular see-saw-like geometry to four Mo+2.13+ atoms. In the twentieth Se2- site, Se2- is bonded in a 5-coordinate geometry to one Ti4+ and four Mo+2.13+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ti3CuS6 by Materials Project

Ti3CuS6 is beta indium sulfide-derived structured and crystallizes in the trigonal P3m1 space group. The structure is three-dimensional. there are sixteen inequivalent Ti+3.67+ sites. In the first Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share a cornercorner with one CuS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.42–2.48 Å. In the second Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent CuS4 tetrahedra and edges with six TiS6 octahedra. There are three shorter (2.40 Å) and three longer (2.49 Å) Ti–S bond lengths. In the third Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with two equivalent CuS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.41–2.48 Å. In the fourth Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form edge-sharing TiS6 octahedra. There are three shorter (2.44 Å) and three longer (2.46 Å) Ti–S bond lengths. In the fifth Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three CuS4 tetrahedra and edges with six TiS6 octahedra. There are three shorter (2.42 Å) and three longer (2.48 Å) Ti–S bond lengths. In the sixth Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent CuS4 tetrahedra and edges with six TiS6 octahedra. There are three shorter (2.42 Å) and three longer (2.47 Å) Ti–S bond lengths. In the seventh Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with four CuS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.42–2.48 Å. In the eighth Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent CuS4 tetrahedra and edges with six TiS6 octahedra. There are three shorter (2.42 Å) and three longer (2.48 Å) Ti–S bond lengths. In the ninth Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six CuS4 tetrahedra and edges with six TiS6 octahedra. All Ti–S bond lengths are 2.45 Å. In the tenth Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six CuS4 tetrahedra and edges with six TiS6 octahedra. There are three shorter (2.44 Å) and three longer (2.45 Å) Ti–S bond lengths. In the eleventh Ti+3.67+ site, Ti+3.67+ is bonded to six equivalent S2- atoms to form TiS6 octahedra that share corners with six equivalent CuS4 tetrahedra and edges with six equivalent TiS6 octahedra. All Ti–S bond lengths are 2.45 Å. In the twelfth Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six CuS4 tetrahedra and edges with six TiS6 octahedra. All Ti–S bond lengths are 2.45 Å. In the thirteenth Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with five CuS4 tetrahedra and edges with six TiS6 octahedra. There are a spread of Ti–S bond distances ranging from 2.42–2.47 Å. In the fourteenth Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with six CuS4 tetrahedra and edges with six TiS6 octahedra. All Ti–S bond lengths are 2.45 Å. In the fifteenth Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three CuS4 tetrahedra and edges with six TiS6 octahedra. There are three shorter (2.42 Å) and three longer (2.48 Å) Ti–S bond lengths. In the sixteenth Ti+3.67+ site, Ti+3.67+ is bonded to six S2- atoms to form TiS6 octahedra that share corners with three equivalent CuS4 tetrahedra and edges with six TiS6 octahedra. There are three shorter (2.42 Å) and three longer (2.49 Å) Ti–S bond lengths. There are nine inequivalent Cu1+ sites. In the first Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. All Cu–S bond lengths are 2.24 Å. In the second Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. All Cu–S bond lengths are 2.25 Å. In the third Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Cu–S bond lengths are 2.24 Å. In the fourth Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedral tilt angles are 57°. All Cu–S bond lengths are 2.25 Å. In the fifth Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedra tilt angles range from 56–57°. There are one shorter (2.24 Å) and three longer (2.25 Å) Cu–S bond lengths. In the sixth Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Cu–S bond lengths are 2.24 Å. In the seventh Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedral tilt angles are 56°. All Cu–S bond lengths are 2.24 Å. In the eighth Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. All Cu–S bond lengths are 2.25 Å. In the ninth Cu1+ site, Cu1+ is bonded to four S2- atoms to form CuS4 tetrahedra that share corners with twelve TiS6 octahedra. The corner-sharing octahedra tilt angles range from 56–58°. There are one shorter (2.24 Å) and three longer (2.25 Å) Cu–S bond lengths. There are thirty-two inequivalent S2- sites. In the first S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.67+ atoms. In the second S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Ti+3.67+ atoms. In the third S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.67+ atoms. In the fourth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.67+ atoms. In the fifth S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Ti+3.67+ atoms. In the sixth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Ti+3.67+ and one Cu1+ atom. In the seventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.67+ atoms. In the eighth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ti+3.67+ and one Cu1+ atom. In the ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Ti+3.67+ atoms. In the tenth S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Ti+3.67+ atoms. In the eleventh S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.67+ atoms. In the twelfth S2- site, S2- is bonded to three Ti+3.67+ and one Cu1+ atom to form a mixture of distorted corner and edge-sharing STi3Cu trigonal pyramids. In the thirteenth S2- site, S2- is bonded in a rectangular see-saw-like geometry to three equivalent Ti+3.67+ and one Cu1+ atom. In the fourteenth S2- site, S2- is bonded to three equivalent Ti+3.67+ and one Cu1+ atom to form distorted edge-sharing STi3Cu trigonal pyramids. In the fifteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ti+3.67+ and one Cu1+ atom. In the sixteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ti+3.67+ and one Cu1+ atom. In the seventeenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Ti+3.67+ and one Cu1+ atom. In the eighteenth S2- site, S2- is bonded to three equivalent Ti+3.67+ and one Cu1+ atom to form distorted corner-sharing STi3Cu trigonal pyramids. In the nineteenth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ti+3.67+ and one Cu1+ atom. In the twentieth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Ti+3.67+ and one Cu1+ atom. All S–Ti bond lengths are 2.45 Å. The S–Cu bond length is 2.24 Å. In the twenty-first S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Ti+3.67+ and one Cu1+ atom. In the twenty-second S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ti+3.67+ and one Cu1+ atom. All S–Ti bond lengths are 2.45 Å. The S–Cu bond length is 2.24 Å. In the twenty-third S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Ti+3.67+ and one Cu1+ atom. In the twenty-fourth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ti+3.67+ and one Cu1+ atom. In the twenty-fifth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ti+3.67+ and one Cu1+ atom. In the twenty-sixth S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Ti+3.67+ atoms. In the twenty-seventh S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three Ti+3.67+ and one Cu1+ atom. In the twenty-eighth S2- site, S2- is bonded in a distorted T-shaped geometry to three Ti+3.67+ atoms. In the twenty-ninth S2- site, S2- is bonded in a distorted T-shaped geometry to three equivalent Ti+3.67+ atoms. In the thirtieth S2- site, S2- is bonded in a distorted rectangular see-saw-like geometry to three equivalent Ti+3.67+ and one Cu1+ atom. In the thirty-first S2- site, S2- is bonded to three Ti+3.67+ and one Cu1+ atom to form a mixture of distorted corner and edge-sharing STi3Cu trigonal pyramids. In the thirty-second S2- site, S2- is bonded to three equivalent Ti+3.67+ and one Cu1+ atom to form distorted edge-sharing STi3Cu trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on NiP2O7 by Materials Project

NiP2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ni4+ sites. In the first Ni4+ site, Ni4+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Ni–O bond distances ranging from 2.01–2.18 Å. In the second Ni4+ site, Ni4+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Ni–O bond distances ranging from 1.94–2.08 Å. In the third Ni4+ site, Ni4+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Ni–O bond distances ranging from 1.94–2.11 Å. In the fourth Ni4+ site, Ni4+ is bonded to six O2- atoms to form NiO6 octahedra that share a cornercorner with one NiO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Ni–O bond distances ranging from 1.96–2.11 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–41°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–41°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–46°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–49°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NiO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 40–46°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two NiO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one NiO6 octahedra. The corner-sharing octahedra tilt angles range from 45–47°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni4+ and one P5+ atom. In the second O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the third O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni4+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni4+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni4+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni4+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni4+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni4+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Ni4+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni4+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni4+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni4+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni4+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni4+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni4+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni4+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Ni4+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni4+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in an L-shaped geometry to one Ni4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni4+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in an L-shaped geometry to one Ni4+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni4+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni4+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn5O12 by Materials Project

Li4Mn5O12 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 1.94–2.01 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.94–2.00 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two LiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There is two shorter (1.93 Å) and two longer (1.99 Å) Li–O bond length. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.10 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Li–O bond distances ranging from 1.95–2.02 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent LiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–63°. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.06–2.11 Å. There are ten inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–1.98 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.86–2.03 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–1.98 Å. In the fourth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the fifth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.86–2.02 Å. In the sixth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–1.98 Å. In the seventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.86–2.02 Å. In the eighth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.86–2.02 Å. In the ninth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–1.98 Å. In the tenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two equivalent LiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with six OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the fourth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with six OLiMn3 tetrahedra, corners with three OLiMn3 trigonal pyramids, and an edgeedge with one OLi2Mn2 trigonal pyramid. In the fifth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with five OLiMn3 tetrahedra, corners with three OLi2Mn2 trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with seven OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra. In the seventh O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with six OLiMn3 tetrahedra, corners with three OLi2Mn2 trigonal pyramids, and edges with two OLi2Mn2 trigonal pyramids. In the eighth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with five OLiMn3 tetrahedra, corners with four OLi2Mn2 trigonal pyramids, and edges with two OLiMn3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with six OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra. In the tenth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with five OLiMn3 tetrahedra, corners with four OLi2Mn2 trigonal pyramids, and edges with two OLiMn3 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with six OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with six OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the sixteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the seventeenth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form a mixture of distorted edge and corner-sharing OLi2Mn2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with six OLiMn3 tetrahedra, corners with four OLiMn3 trigonal pyramids, and an edgeedge with one OLi2Mn2 trigonal pyramid. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with seven OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra. In the twentieth O2- site, O2- is bonded to two Li1+ and two Mn4+ atoms to form a mixture of distorted edge and corner-sharing OLi2Mn2 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with six OLiMn3 tetrahedra, corners with three OLi2Mn2 trigonal pyramids, and an edgeedge with one OLi2Mn2 trigonal pyramid. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+ and two Mn4+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Li1+ and three Mn4+ atoms to form distorted OLiMn3 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra, corners with six OLi2Mn2 trigonal pyramids, and edges with three OLiMn3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on FeP2O7 by Materials Project

FeP2O7 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Fe sites. In the first Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.99–2.07 Å. In the second Fe site, Fe is bonded to six O atoms to form FeO6 octahedra that share a cornercorner with one FeO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.99–2.06 Å. In the third Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.94–2.52 Å. In the fourth Fe site, Fe is bonded to six O atoms to form distorted FeO6 octahedra that share a cornercorner with one FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Fe–O bond distances ranging from 1.94–2.49 Å. There are eight inequivalent P sites. In the first P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the second P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–41°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the third P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–47°. There is three shorter (1.53 Å) and one longer (1.61 Å) P–O bond length. In the fourth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–47°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–43°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the sixth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–42°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the seventh P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–47°. There is three shorter (1.53 Å) and one longer (1.61 Å) P–O bond length. In the eighth P site, P is bonded to four O atoms to form PO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 34–43°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. There are twenty-eight inequivalent O sites. In the first O site, O is bonded in a 2-coordinate geometry to two Fe and one P atom. In the second O site, O is bonded in a distorted bent 150 degrees geometry to one Fe and one P atom. In the third O site, O is bonded in a distorted bent 120 degrees geometry to two P atoms. In the fourth O site, O is bonded in a distorted bent 120 degrees geometry to one Fe and one P atom. In the fifth O site, O is bonded in a distorted bent 150 degrees geometry to one Fe and one P atom. In the sixth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the seventh O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the eighth O site, O is bonded in a distorted bent 120 degrees geometry to one Fe and one P atom. In the ninth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the tenth O site, O is bonded in a 2-coordinate geometry to two Fe and one P atom. In the eleventh O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twelfth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the thirteenth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the fourteenth O site, O is bonded in a distorted bent 120 degrees geometry to one Fe and one P atom. In the fifteenth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the sixteenth O site, O is bonded in a bent 120 degrees geometry to two P atoms. In the seventeenth O site, O is bonded in a distorted bent 120 degrees geometry to one Fe and one P atom. In the eighteenth O site, O is bonded in a bent 120 degrees geometry to two P atoms. In the nineteenth O site, O is bonded in a distorted bent 120 degrees geometry to two P atoms. In the twentieth O site, O is bonded in a distorted bent 150 degrees geometry to one Fe and one P atom. In the twenty-first O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-second O site, O is bonded in a water-like geometry to one Fe and one P atom. In the twenty-third O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-fourth O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-fifth O site, O is bonded in a water-like geometry to one Fe and one P atom. In the twenty-sixth O site, O is bonded in a single-bond geometry to one P atom. In the twenty-seventh O site, O is bonded in a bent 150 degrees geometry to one Fe and one P atom. In the twenty-eighth O site, O is bonded in a single-bond geometry to one P atom.

36 MATERIALS SCIENCE↗

Materials Data on Ga2CoO4 by Materials Project

CoGa2O4 is Spinel-like structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are eight inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five GaO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.07–2.12 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six GaO4 tetrahedra, edges with two CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.08–2.13 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent CoO4 tetrahedra, corners with four GaO4 tetrahedra, an edgeedge with one CoO6 octahedra, and edges with five GaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.07–2.13 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three CoO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with six GaO6 octahedra. There are three shorter (2.07 Å) and three longer (2.11 Å) Co–O bond lengths. In the fifth Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Co–O bond distances ranging from 1.98–2.01 Å. In the sixth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with three CoO4 tetrahedra, corners with three GaO4 tetrahedra, and edges with six GaO6 octahedra. There are a spread of Co–O bond distances ranging from 2.06–2.11 Å. In the seventh Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Co–O bond distances ranging from 1.97–1.99 Å. In the eighth Co2+ site, Co2+ is bonded to four O2- atoms to form CoO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 56–60°. There are a spread of Co–O bond distances ranging from 1.98–2.00 Å. There are twelve inequivalent Ga3+ sites. In the first Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Ga–O bond distances ranging from 1.91–1.97 Å. In the second Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share a cornercorner with one CoO4 tetrahedra, corners with five GaO4 tetrahedra, edges with three CoO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. In the third Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CoO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 55–59°. There are a spread of Ga–O bond distances ranging from 1.88–1.95 Å. In the fourth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent CoO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.07 Å. In the fifth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with two equivalent CoO4 tetrahedra, corners with four GaO4 tetrahedra, edges with three CoO6 octahedra, and edges with three GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.05 Å. In the sixth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There are a spread of Ga–O bond distances ranging from 1.89–1.97 Å. In the seventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three CoO4 tetrahedra, corners with three GaO4 tetrahedra, edges with two equivalent CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.08 Å. In the eighth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with six CoO6 octahedra and corners with six GaO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Ga–O bond distances ranging from 1.87–1.91 Å. In the ninth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent CoO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.09 Å. In the tenth Ga3+ site, Ga3+ is bonded to four O2- atoms to form GaO4 tetrahedra that share corners with three CoO6 octahedra and corners with nine GaO6 octahedra. The corner-sharing octahedra tilt angles range from 57–58°. There is three shorter (1.91 Å) and one longer (1.97 Å) Ga–O bond length. In the eleventh Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three CoO4 tetrahedra, corners with three GaO4 tetrahedra, edges with two equivalent CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.97–2.08 Å. In the twelfth Ga3+ site, Ga3+ is bonded to six O2- atoms to form GaO6 octahedra that share corners with three equivalent CoO4 tetrahedra, corners with three equivalent GaO4 tetrahedra, edges with two CoO6 octahedra, and edges with four GaO6 octahedra. There are a spread of Ga–O bond distances ranging from 1.96–2.09 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Ga3+ atoms. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the third O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa3Co trigonal pyramids. In the fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the fifth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Co2+ and two equivalent Ga3+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the ninth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the tenth O2- site, O2- is bonded to four Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa4 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the thirteenth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form distorted OGa3Co trigonal pyramids that share corners with three OGa4 trigonal pyramids and edges with three OGa3Co trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa3Co trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form distorted corner-sharing OGa3Co trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the seventeenth O2- site, O2- is bonded to four Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa4 trigonal pyramids. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two equivalent Ga3+ atoms. In the nineteenth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form a mixture of distorted edge and corner-sharing OGa3Co trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Co2+ and three Ga3+ atoms to form distorted OGa3Co trigonal pyramids that share corners with three OGa4 trigonal pyramids and edges with three OGa3Co trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms. In the twenty-second O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two Ga3+ atoms. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Co2+ and two equivalent Ga3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Co2+ and three Ga3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ca2Mn3P3H6O17 by Materials Project

Ca2Mn3P3H4O17H2 crystallizes in the monoclinic P2_1/c space group. The structure is three-dimensional and consists of four dihydrogen molecules and one Ca2Mn3P3H4O17 framework. In the Ca2Mn3P3H4O17 framework, there are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.22–2.68 Å. In the second Ca2+ site, Ca2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Ca–O bond distances ranging from 2.22–2.64 Å. There are four inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four PO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mn–O bond distances ranging from 1.99–2.21 Å. In the second Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four PO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Mn–O bond distances ranging from 1.94–2.20 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Mn–O bond distances ranging from 1.92–2.23 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and edges with two MnO6 octahedra. The corner-sharing octahedra tilt angles range from 57–64°. There are a spread of Mn–O bond distances ranging from 1.98–2.29 Å. There are three inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–61°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–54°. There is three shorter (1.52 Å) and one longer (1.65 Å) P–O bond length. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of P–O bond distances ranging from 1.51–1.58 Å. There are four inequivalent H1+ sites. In the first H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.97 Å. In the second H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.99 Å. In the third H1+ site, H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. In the fourth H1+ site, H1+ is bonded in a single-bond geometry to two O2- atoms. There is one shorter (0.98 Å) and one longer (1.75 Å) H–O bond length. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Ca2+, one P5+, and one H1+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Mn3+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+, one Mn3+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Ca2+, one P5+, and one H1+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to two Mn3+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn3+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ca2+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Mn3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one Mn3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+ and three Mn3+ atoms. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+ and three Mn3+ atoms. In the fifteenth O2- site, O2- is bonded in a single-bond geometry to one Ca2+, one H1+, and one O2- atom. The O–O bond length is 1.49 Å. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to two Ca2+ and one O2- atom. In the seventeenth O2- site, O2- is bonded in a water-like geometry to two H1+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Zr3N2O3 by Materials Project

Zr3N2O3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Zr4+ sites. In the first Zr4+ site, Zr4+ is bonded to two N3- and four O2- atoms to form distorted ZrN2O4 octahedra that share corners with four ZrN2O4 octahedra and edges with six ZrN3O3 octahedra. The corner-sharing octahedra tilt angles range from 27–42°. There are one shorter (2.10 Å) and one longer (2.23 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.09–2.29 Å. In the second Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with four ZrN3O3 octahedra and edges with six ZrN2O4 octahedra. The corner-sharing octahedra tilt angles range from 26–57°. There are a spread of Zr–N bond distances ranging from 2.13–2.22 Å. There are a spread of Zr–O bond distances ranging from 2.12–2.34 Å. In the third Zr4+ site, Zr4+ is bonded to three N3- and three O2- atoms to form distorted ZrN3O3 octahedra that share corners with four ZrN3O3 octahedra and edges with six ZrN2O4 octahedra. The corner-sharing octahedra tilt angles range from 21–57°. There are a spread of Zr–N bond distances ranging from 2.08–2.17 Å. There are a spread of Zr–O bond distances ranging from 2.07–2.42 Å. In the fourth Zr4+ site, Zr4+ is bonded to two N3- and four O2- atoms to form a mixture of distorted edge and corner-sharing ZrN2O4 octahedra. The corner-sharing octahedra tilt angles range from 21–36°. Both Zr–N bond lengths are 2.18 Å. There are a spread of Zr–O bond distances ranging from 2.13–2.17 Å. In the fifth 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 27–57°. There are two shorter (2.14 Å) and one longer (2.21 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.13–2.45 Å. In the sixth Zr4+ site, Zr4+ is bonded to two N3- and four O2- atoms to form a mixture of distorted edge and corner-sharing ZrN2O4 octahedra. The corner-sharing octahedra tilt angles range from 28–57°. There are one shorter (2.07 Å) and one longer (2.26 Å) Zr–N bond lengths. There are a spread of Zr–O bond distances ranging from 2.12–2.30 Å. There are four 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 trigonal pyramid, corners with two equivalent NZr4 trigonal pyramids, and edges with two equivalent NZr4 trigonal pyramids. In the second N3- site, N3- is bonded in a 3-coordinate geometry to three Zr4+ atoms. In the third N3- site, N3- is bonded to four Zr4+ atoms to form distorted NZr4 tetrahedra that share corners with two equivalent NZr4 tetrahedra, a cornercorner with one NZr4 trigonal pyramid, and edges with two equivalent OZr4 trigonal pyramids. In the fourth N3- site, N3- is bonded to four Zr4+ atoms to form a mixture of distorted edge and corner-sharing NZr4 trigonal pyramids. There are six 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 NZr4 trigonal pyramid, corners with two equivalent OZr4 trigonal pyramids, and edges with two equivalent NZr4 tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the third O2- site, O2- is bonded in a 3-coordinate geometry to three Zr4+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to four Zr4+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to three Zr4+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to three Zr4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Gd3Y5O12 by Materials Project

Gd3Y5O12 is Spinel-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Gd3+ sites. In the first Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.39 Å. In the second Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Gd–O bond distances ranging from 2.30–2.38 Å. In the third Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. In the fourth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.37 Å. In the fifth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. In the sixth Gd3+ site, Gd3+ is bonded to six O2- atoms to form distorted GdO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two YO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Gd–O bond distances ranging from 2.29–2.38 Å. There are ten inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with three GdO6 octahedra, corners with three YO6 octahedra, edges with three GdO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are a spread of Y–O bond distances ranging from 2.30–2.32 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four GdO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Y–O bond distances ranging from 2.28–2.36 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.27–2.36 Å. In the fifth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Y–O bond distances ranging from 2.28–2.35 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two GdO6 octahedra, corners with four YO6 octahedra, edges with two YO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Y–O bond distances ranging from 2.30–2.32 Å. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with three GdO6 octahedra, corners with three YO6 octahedra, edges with three GdO6 octahedra, and edges with three YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–57°. There are a spread of Y–O bond distances ranging from 2.30–2.32 Å. In the eighth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share a cornercorner with one GdO6 octahedra, corners with five YO6 octahedra, edges with two YO6 octahedra, and edges with four GdO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Y–O bond distances ranging from 2.27–2.35 Å. In the ninth Y3+ site, Y3+ is bonded to six O2- atoms to form YO6 octahedra that share corners with two YO6 octahedra, corners with four GdO6 octahedra, edges with two GdO6 octahedra, and edges with four YO6 octahedra. The corner-sharing octahedra tilt angles range from 55–56°. There are one shorter (2.30 Å) and five longer (2.31 Å) Y–O bond lengths. In the tenth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted YO6 octahedra that share corners with two YO6 octahedra, corners with four GdO6 octahedra, an edgeedge with one GdO6 octahedra, and edges with five YO6 octahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Y–O bond distances ranging from 2.28–2.36 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the second O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd3Y trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the third O2- site, O2- is bonded to three Gd3+ and one Y3+ atom to form a mixture of distorted edge and corner-sharing OGd3Y trigonal pyramids. In the fourth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fifth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the sixth O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGdY3 trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Y2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd3Y trigonal pyramids and edges with four OGd2Y2 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the seventeenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form distorted OGdY3 trigonal pyramids that share corners with twelve OGd2Y2 trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Y2 trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Gd3+ and three Y3+ atoms to form a mixture of distorted edge and corner-sharing OGdY3 trigonal pyramids. In the twentieth O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form distorted OGd2Y2 trigonal pyramids that share corners with twelve OGd3Y trigonal pyramids and edges with four OGdY3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to three Gd3+ and one Y3+ atom to form a mixture of distorted edge and corner-sharing OGd3Y trigonal pyramids. In the twenty-second O2- site, O2- is bonded to four Y3+ atoms to form a mixture of distorted edge and corner-sharing OY4 trigonal pyramids. In the twenty-third O2- site, O2- is bonded to two Gd3+ and two Y3+ atoms to form a mixture of distorted edge and corner-sharing OGd2Y2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded to three Gd3+ and one Y3+ atom to form a mixture of distorted edge and corner-sharing OGd3Y trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Dy5Bi11O24 by Materials Project

Dy5Bi11O24 is Ilmenite-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Dy3+ sites. In the first Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–57°. There are a spread of Dy–O bond distances ranging from 2.28–2.35 Å. In the second Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five BiO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Dy–O bond distances ranging from 2.31–2.33 Å. In the third Dy3+ site, Dy3+ is bonded to six O2- atoms to form distorted DyO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of Dy–O bond distances ranging from 2.29–2.38 Å. In the fourth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Dy–O bond distances ranging from 2.31–2.33 Å. In the fifth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are four shorter (2.31 Å) and two longer (2.32 Å) Dy–O bond lengths. In the sixth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share a cornercorner with one DyO6 octahedra, corners with five BiO6 octahedra, an edgeedge with one DyO6 octahedra, and edges with five BiO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Dy–O bond distances ranging from 2.30–2.35 Å. In the seventh Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are three shorter (2.31 Å) and three longer (2.32 Å) Dy–O bond lengths. In the eighth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–55°. There are a spread of Dy–O bond distances ranging from 2.31–2.33 Å. In the ninth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Dy–O bond distances ranging from 2.31–2.34 Å. In the tenth Dy3+ site, Dy3+ is bonded to six O2- atoms to form DyO6 octahedra that share corners with six BiO6 octahedra and edges with six BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Dy–O bond distances ranging from 2.30–2.33 Å. There are twenty-two inequivalent Bi3+ sites. In the first Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.49 Å. In the second Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 55–58°. There are a spread of Bi–O bond distances ranging from 2.34–2.52 Å. In the third Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–59°. There are a spread of Bi–O bond distances ranging from 2.34–2.48 Å. In the fourth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the fifth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.32–2.49 Å. In the sixth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Bi–O bond distances ranging from 2.34–2.49 Å. In the seventh Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.36–2.46 Å. In the eighth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the ninth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–57°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the tenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–56°. There are a spread of Bi–O bond distances ranging from 2.33–2.48 Å. In the eleventh Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.34–2.50 Å. In the twelfth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–59°. There are a spread of Bi–O bond distances ranging from 2.34–2.51 Å. In the thirteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the fourteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–57°. There are a spread of Bi–O bond distances ranging from 2.32–2.51 Å. In the fifteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–58°. There are a spread of Bi–O bond distances ranging from 2.35–2.48 Å. In the sixteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the seventeenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–56°. There are a spread of Bi–O bond distances ranging from 2.33–2.49 Å. In the eighteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.34–2.49 Å. In the nineteenth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with three DyO6 octahedra, corners with three BiO6 octahedra, edges with three DyO6 octahedra, and edges with three BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.31–2.51 Å. In the twentieth Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Bi–O bond distances ranging from 2.32–2.51 Å. In the twenty-first Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. In the twenty-second Bi3+ site, Bi3+ is bonded to six O2- atoms to form distorted BiO6 octahedra that share corners with two DyO6 octahedra, corners with four BiO6 octahedra, edges with two DyO6 octahedra, and edges with four BiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Bi–O bond distances ranging from 2.33–2.50 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded to three Dy3+ and one Bi3+ atom to form distorted ODy3Bi trigonal pyramids that share corners with two ODy2Bi2 tetrahedra, corners with ten ODyBi3 trigonal pyramids, an edgeedge with one ODy3Bi tetrahedra, and edges with three ODy2Bi2 trigonal pyramids. In the second O2- site, O2- is bonded to three Dy3+ and one Bi3+ atom to form distorted ODy3Bi tetrahedra that share a

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 SnN2O4 octahedra and edges with six SnN5O octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Sn–N bond distances ranging from 2.10–2.26 Å. There are one shorter (2.17 Å) and one longer (2.28 Å) Sn–O bond lengths. In the second Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form a mixture of corner and edge-sharing SnN5O octahedra. The corner-sharing octahedra tilt angles range from 53–58°. There are a spread of Sn–N bond distances ranging from 2.18–2.25 Å. The Sn–O bond length is 2.29 Å. In the third Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN5O octahedra and edges with six SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Sn–N bond distances ranging from 2.10–2.19 Å. Both Sn–O bond lengths are 2.34 Å. In the fourth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 octahedra that share corners with six SnN5O octahedra and edges with six SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Sn–N bond distances ranging from 2.12–2.17 Å. There are a spread of Sn–O bond distances ranging from 2.13–2.31 Å. In the fifth Sn4+ site, Sn4+ is bonded to two N3- and four O2- atoms to form a mixture of distorted corner and edge-sharing SnN2O4 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are one shorter (2.09 Å) and one longer (2.12 Å) Sn–N bond lengths. There are a spread of Sn–O bond distances ranging from 2.11–2.26 Å. In the sixth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form a mixture of distorted corner and edge-sharing SnN5O octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are a spread of Sn–N bond distances ranging from 2.15–2.30 Å. The Sn–O bond length is 2.36 Å. In the seventh Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form SnN4O2 octahedra that share corners with six SnN3O3 octahedra and edges with six SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Sn–N bond distances ranging from 2.14–2.21 Å. There are one shorter (2.20 Å) and one longer (2.36 Å) Sn–O bond lengths. In the eighth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form SnN3O3 octahedra that share corners with six SnN4O2 octahedra and edges with six SnN3O3 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are a spread of Sn–N bond distances ranging from 2.12–2.17 Å. There are a spread of Sn–O bond distances ranging from 2.16–2.25 Å. In the ninth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN5O octahedra and edges with six SnN2O4 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Sn–N bond distances ranging from 2.13–2.22 Å. There are one shorter (2.17 Å) and one longer (2.40 Å) Sn–O bond lengths. In the tenth Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form a mixture of corner and edge-sharing SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 49–57°. There are a spread of Sn–N bond distances ranging from 2.16–2.18 Å. There are one shorter (2.20 Å) and one longer (2.27 Å) Sn–O bond lengths. In the eleventh Sn4+ site, Sn4+ is bonded to four N3- and two O2- atoms to form distorted SnN4O2 octahedra that share corners with six SnN5O octahedra and edges with six SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 53–60°. There are two shorter (2.12 Å) and two longer (2.20 Å) Sn–N bond lengths. There are one shorter (2.27 Å) and one longer (2.33 Å) Sn–O bond lengths. In the twelfth Sn4+ site, Sn4+ is bonded to five N3- and one O2- atom to form distorted SnN5O octahedra that share corners with six SnN5O octahedra and edges with six SnN4O2 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of Sn–N bond distances ranging from 2.15–2.22 Å. The Sn–O bond length is 2.43 Å. In the thirteenth 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 SnN5O octahedra. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Sn–N bond distances ranging from 2.14–2.21 Å. There are one shorter (2.17 Å) and one longer (2.33 Å) Sn–O bond lengths. In the fourteenth Sn4+ site, Sn4+ is bonded to six N3- atoms to form distorted SnN6 octahedra that share corners with six SnN4O2 octahedra and edges with six SnN5O octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Sn–N bond distances ranging from 2.13–2.29 Å. In the fifteenth Sn4+ site, Sn4+ is bonded to three N3- and three O2- atoms to form distorted SnN3O3 octahedra that share corners with six SnN4O2 octahedra and edges with six SnN5O octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Sn–N bond distances ranging from 2.15–2.18 Å. There are a spread of Sn–O bond distances ranging from 2.12–2.31 Å. In the sixteenth 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 SnN5O octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Sn–N bond distances ranging from 2.08–2.24 Å. There are one shorter (2.22 Å) and one longer (2.32 Å) Sn–O bond lengths. There are sixteen inequivalent N3- sites. In the first N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with two NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with five OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and edges with two OSn4 trigonal pyramids. In the second N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with six NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with three NSn4 trigonal pyramids, an edgeedge with one NSn4 trigonal pyramid, and edges with three OSn4 trigonal pyramids. In the third N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with five NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one NSn4 trigonal pyramid, 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 five NSn4 tetrahedra, corners with two NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and edges with two NSn4 trigonal pyramids. In the fifth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with two NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with five OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and an edgeedge with one OSn4 trigonal pyramid. In the sixth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with five NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one OSn4 trigonal pyramid, and edges with two NSn4 trigonal pyramids. In the seventh N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with six 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 eighth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with three NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, 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 ninth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 trigonal pyramids that share corners with six NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with three OSn4 trigonal pyramids, an edgeedge with one OSn4 trigonal pyramid, and edges with three NSn4 trigonal pyramids. In the tenth N3- site, N3- is bonded in a distorted rectangular see-saw-like geometry to four Sn4+ atoms. In the eleventh N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with three NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, 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 twelfth N3- site, N3- is bonded to four Sn4+ atoms to form NSn4 trigonal pyramids that share corners with two NSn4 tetrahedra, corners with four NSn4 trigonal pyramids, corners with five OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and edges with two NSn4 trigonal pyramids. In the thirteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with two NSn4 tetrahedra, corners with four OSn4 trigonal pyramids, corners with six NSn4 trigonal pyramids, an edgeedge with one NSn4 trigonal pyramid, and an edgeedge with one OSn4 trigonal pyramid. In the fourteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with three NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one OSn4 trigonal pyramid, and edges with two NSn4 trigonal pyramids. In the fifteenth N3- site, N3- is bonded to four Sn4+ atoms to form distorted NSn4 tetrahedra that share corners with three NSn4 tetrahedra, corners with three OSn4 trigonal pyramids, corners with four 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 trigonal pyramids that share corners with six NSn4 tetrahedra, corners with two OSn4 trigonal pyramids, corners with three NSn4 trigonal pyramids, an edgeedge with one NSn4 tetrahedra, an edgeedge with one OSn4 trigonal pyramid, and edges with two NSn4 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 five NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and an edgeedge with one NSn4 trigonal pyramid. In the second O2- site, O2- is bonded to four Sn4+ atoms to form distorted OSn4 trigonal pyramids that share corners with five NSn4 tetrahedra, corners with three NSn4 trigonal pyramids, corners with four OSn4 trigonal pyramids, an edgeedge with one 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 six NSn4 tetrahedra, a cornercorner with one NSn4 trigonal pyramid, corners with three OSn4 trigonal pyramids, edges with two NSn4 tetrahedra, and edges with two NSn4 trigonal pyramids. In the fourth O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on Li2MnCo3O8 by Materials Project

Li2MnCo3O8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There is two shorter (1.94 Å) and two longer (1.96 Å) Li–O bond length. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Li–O bond distances ranging from 1.93–1.98 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Li–O bond distances ranging from 1.91–1.98 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–60°. There are a spread of Li–O bond distances ranging from 1.93–1.98 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.94–1.97 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Li–O bond distances ranging from 1.92–1.98 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Li–O bond distances ranging from 1.94–1.97 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO6 octahedra and corners with nine CoO6 octahedra. The corner-sharing octahedra tilt angles range from 57–61°. There are a spread of Li–O bond distances ranging from 1.93–1.97 Å. There are four inequivalent Mn7+ sites. In the first Mn7+ site, Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the second Mn7+ site, Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. In the third Mn7+ site, Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the fourth Mn7+ site, Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six CoO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.98 Å. There are twelve inequivalent Co+2.33+ sites. In the first Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.96 Å. In the second Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.95 Å. In the third Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–1.95 Å. In the fourth Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.97 Å. In the fifth Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.95 Å. In the sixth Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.91 Å. In the seventh Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.89–1.93 Å. In the eighth Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.92–1.94 Å. In the ninth Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.94 Å. In the tenth Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.91–1.93 Å. In the eleventh Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.88–1.91 Å. In the twelfth Co+2.33+ site, Co+2.33+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six LiO4 tetrahedra, edges with two MnO6 octahedra, and edges with four CoO6 octahedra. There are a spread of Co–O bond distances ranging from 1.90–1.96 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with four OLiCo3 tetrahedra, corners with eight OLiMnCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiMnCo2 trigonal pyramids. In the second O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with four OLiCo3 tetrahedra, corners with eight OLiMnCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiMnCo2 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and three Co+2.33+ atoms to form distorted OLiCo3 tetrahedra that share corners with five OLiCo3 tetrahedra, corners with seven OLiMnCo2 trigonal pyramids, and edges with three OLiMnCo2 trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with five OLiMnCo2 tetrahedra, corners with seven OLiMnCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiMnCo2 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with four OLiCo3 tetrahedra, corners with eight OLiMnCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiMnCo2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Co+2.33+ atoms to form distorted OLiCo3 tetrahedra that share corners with four OLiCo3 tetrahedra, corners with eight OLiMnCo2 trigonal pyramids, and edges with three OLiMnCo2 trigonal pyramids. In the seventh O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with four OLiCo3 tetrahedra, corners with eight OLiMnCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiMnCo2 trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with four OLiMnCo2 tetrahedra, corners with eight OLiMnCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiMnCo2 trigonal pyramids. In the ninth O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with five OLiCo3 tetrahedra, corners with seven OLiMnCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiMnCo2 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with six OLiCo3 tetrahedra, corners with six OLiMnCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiMnCo2 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+ and three Co+2.33+ atoms to form distorted OLiCo3 tetrahedra that share corners with five OLiCo3 tetrahedra, corners with seven OLiMnCo2 trigonal pyramids, and edges with three OLiMnCo2 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with five OLiCo3 tetrahedra, corners with seven OLiMnCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiMnCo2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with four OLiCo3 tetrahedra, corners with eight OLiMnCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiMnCo2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Co+2.33+ atoms to form distorted OLiCo3 tetrahedra that share corners with four OLiCo3 tetrahedra, corners with eight OLiMnCo2 trigonal pyramids, and edges with three OLiMnCo2 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 tetrahedra that share corners with three OLiCo3 tetrahedra, corners with nine OLiMnCo2 trigonal pyramids, edges with two OLiCo3 tetrahedra, and an edgeedge with one OLiMnCo2 trigonal pyramid. In the sixteenth O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with four OLiCo3 tetrahedra, corners with eight OLiMnCo2 trigonal pyramids, and edges with three OLiCo3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with six OLiMnCo2 tetrahedra, corners with six OLiMnCo2 trigonal pyramids, an edgeedge with one OLiCo3 tetrahedra, and edges with two OLiMnCo2 trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Li1+, one Mn7+, and two Co+2.33+ atoms to form distorted OLiMnCo2 trigonal pyramids that share corners with five OLiCo3 tetrahedra, corners with seven

36 MATERIALS SCIENCE↗

Materials Data on Mn6OF11 by Materials Project

Mn6OF11 is Hydrophilite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.17+ sites. In the first Mn+2.17+ site, Mn+2.17+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnOF5 octahedra and edges with two MnF6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. The Mn–O bond length is 1.87 Å. There are a spread of Mn–F bond distances ranging from 2.04–2.17 Å. In the second Mn+2.17+ site, Mn+2.17+ is bonded to six F1- atoms to form a mixture of edge and corner-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Mn–F bond distances ranging from 2.08–2.20 Å. In the third Mn+2.17+ site, Mn+2.17+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Mn–O bond length is 2.03 Å. There are a spread of Mn–F bond distances ranging from 2.12–2.53 Å. In the fourth Mn+2.17+ site, Mn+2.17+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with eight MnF6 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. There are a spread of Mn–F bond distances ranging from 2.11–2.21 Å. In the fifth Mn+2.17+ site, Mn+2.17+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 50–62°. The Mn–O bond length is 2.07 Å. There are a spread of Mn–F bond distances ranging from 2.10–2.26 Å. In the sixth Mn+2.17+ site, Mn+2.17+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with eight MnOF5 octahedra and an edgeedge with one MnF6 octahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Mn–F bond distances ranging from 2.11–2.19 Å. In the seventh Mn+2.17+ site, Mn+2.17+ is bonded to six F1- atoms to form a mixture of edge and corner-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Mn–F bond distances ranging from 2.09–2.19 Å. In the eighth Mn+2.17+ site, Mn+2.17+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with six MnF6 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Mn–F bond distances ranging from 2.11–2.23 Å. In the ninth Mn+2.17+ site, Mn+2.17+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. The Mn–O bond length is 2.09 Å. There are a spread of Mn–F bond distances ranging from 2.11–2.23 Å. In the tenth Mn+2.17+ site, Mn+2.17+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with four MnF6 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. The Mn–O bond length is 1.86 Å. There are a spread of Mn–F bond distances ranging from 2.03–2.16 Å. In the eleventh Mn+2.17+ site, Mn+2.17+ is bonded to one O2- and five F1- atoms to form a mixture of distorted edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–62°. The Mn–O bond length is 2.02 Å. There are a spread of Mn–F bond distances ranging from 2.11–2.53 Å. In the twelfth Mn+2.17+ site, Mn+2.17+ is bonded to six F1- atoms to form a mixture of edge and corner-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Mn–F bond distances ranging from 2.12–2.22 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. There are twenty-two inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. In the second F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the third F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. In the fifth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the sixth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. In the eighth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the ninth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. In the twelfth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.17+ atoms. In the thirteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.17+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. In the fifteenth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the sixteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. In the eighteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.17+ atoms. In the nineteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. In the twentieth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.17+ atoms. In the twenty-first F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the twenty-second F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3MnFeCo(PO4)3 by Materials Project

Li3MnFeCo(PO4)3 is Ilmenite-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.13–2.22 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two MnO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one FeO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.12–2.21 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one FeO6 octahedra, corners with two CoO6 octahedra, corners with two PO4 tetrahedra, edges with two equivalent LiO6 octahedra, edges with two FeO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–69°. There are a spread of Li–O bond distances ranging from 2.10–2.24 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one FeO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–68°. There are a spread of Li–O bond distances ranging from 2.12–2.21 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with three FeO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.12–2.22 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two MnO6 octahedra, corners with two PO4 tetrahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one CoO6 octahedra, edges with two equivalent LiO6 octahedra, and edges with two PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 59–68°. There are a spread of Li–O bond distances ranging from 2.12–2.23 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–68°. There are a spread of Mn–O bond distances ranging from 2.13–2.28 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–68°. There are a spread of Mn–O bond distances ranging from 2.14–2.28 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four LiO6 octahedra, corners with four MnO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–67°. There are a spread of Mn–O bond distances ranging from 2.13–2.27 Å. There are four inequivalent Fe2+ sites. In the first Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–69°. There are a spread of Fe–O bond distances ranging from 2.11–2.26 Å. In the second Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–68°. There are a spread of Fe–O bond distances ranging from 2.12–2.24 Å. In the third Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Fe–O bond distances ranging from 2.09–2.18 Å. In the fourth Fe2+ site, Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Fe–O bond distances ranging from 2.09–2.22 Å. There are four inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four CoO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.11–2.22 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.09–2.22 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four LiO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.10–2.21 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with four LiO6 octahedra, corners with four FeO6 octahedra, corners with four PO4 tetrahedra, edges with two equivalent LiO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 51–68°. There are a spread of Co–O bond distances ranging from 2.10–2.22 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–58°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent LiO6 octahedra, corners with four FeO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one FeO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three MnO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with three FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent LiO6 octahedra, corners with two equivalent FeO6 octahedra, an edgeedge with one CoO6 octahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bo

36 MATERIALS SCIENCE↗

Materials Data on Li2Co4OF8 by Materials Project

Li2Co4OF8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form distorted LiOF5 octahedra that share corners with nine CoO2F4 octahedra and edges with three CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. The Li–O bond length is 2.44 Å. There are a spread of Li–F bond distances ranging from 1.96–2.14 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 2.01 Å. There are a spread of Li–F bond distances ranging from 1.96–2.48 Å. In the third Li1+ site, Li1+ is bonded to one O2- and five F1- atoms to form distorted LiOF5 octahedra that share corners with five CoOF5 octahedra and edges with three CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–61°. The Li–O bond length is 1.99 Å. There are a spread of Li–F bond distances ranging from 1.88–2.34 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 1.96 Å. There are a spread of Li–F bond distances ranging from 1.87–2.53 Å. In the fifth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Li–O bond length is 1.95 Å. There are a spread of Li–F bond distances ranging from 1.92–2.56 Å. In the sixth Li1+ site, Li1+ is bonded to six F1- atoms to form LiF6 octahedra that share corners with nine CoO2F4 octahedra and edges with three CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of Li–F bond distances ranging from 1.93–2.23 Å. In the seventh Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with seven CoOF5 octahedra, edges with three CoF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 46–66°. There are a spread of Li–F bond distances ranging from 1.93–2.26 Å. In the eighth Li1+ site, Li1+ is bonded to six F1- atoms to form distorted LiF6 octahedra that share corners with nine CoF6 octahedra, edges with two equivalent CoF6 octahedra, and a faceface with one LiF6 octahedra. The corner-sharing octahedra tilt angles range from 45–64°. There are a spread of Li–F bond distances ranging from 1.94–2.39 Å. There are sixteen inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to two O2- and four F1- atoms to form CoO2F4 octahedra that share corners with three LiOF5 octahedra, corners with three CoOF5 octahedra, edges with two equivalent CoOF5 octahedra, and a faceface with one CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are one shorter (2.00 Å) and one longer (2.22 Å) Co–O bond lengths. There are a spread of Co–F bond distances ranging from 2.06–2.22 Å. In the second Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 octahedra that share corners with four CoO2F4 octahedra, edges with two equivalent CoOF5 octahedra, edges with three LiOF5 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 33–59°. The Co–O bond length is 2.07 Å. There are a spread of Co–F bond distances ranging from 2.01–2.28 Å. In the third Co2+ site, Co2+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Co–O bond length is 1.88 Å. There are a spread of Co–F bond distances ranging from 2.00–2.60 Å. In the fourth Co2+ site, Co2+ is bonded to six F1- atoms to form CoF6 octahedra that share corners with three CoOF5 octahedra, corners with four LiOF5 octahedra, and edges with three CoF6 octahedra. The corner-sharing octahedra tilt angles range from 37–57°. There are a spread of Co–F bond distances ranging from 1.99–2.22 Å. In the fifth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with three LiOF5 octahedra, corners with three CoO2F4 octahedra, edges with three CoF6 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 42–66°. The Co–O bond length is 2.03 Å. There are a spread of Co–F bond distances ranging from 1.98–2.27 Å. In the sixth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with three CoOF5 octahedra, corners with five LiOF5 octahedra, edges with three CoF6 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 33–64°. The Co–O bond length is 2.06 Å. There are a spread of Co–F bond distances ranging from 1.98–2.25 Å. In the seventh Co2+ site, Co2+ is bonded to six F1- atoms to form distorted CoF6 octahedra that share corners with two equivalent LiF6 octahedra, corners with two CoOF5 octahedra, edges with two equivalent CoOF5 octahedra, edges with three LiOF5 octahedra, and a faceface with one CoF6 octahedra. The corner-sharing octahedra tilt angles range from 42–61°. There are a spread of Co–F bond distances ranging from 2.00–2.19 Å. In the eighth Co2+ site, Co2+ is bonded to six F1- atoms to form distorted CoF6 octahedra that share corners with three LiOF5 octahedra, corners with four CoF6 octahedra, edges with two equivalent LiF6 octahedra, and a faceface with one CoF6 octahedra. The corner-sharing octahedra tilt angles range from 37–61°. There are a spread of Co–F bond distances ranging from 2.00–2.22 Å. In the ninth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 octahedra that share corners with four CoOF5 octahedra, edges with two equivalent CoOF5 octahedra, edges with three LiOF5 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 31–57°. The Co–O bond length is 2.03 Å. There are a spread of Co–F bond distances ranging from 2.01–2.37 Å. In the tenth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with three LiOF5 octahedra, corners with four CoOF5 octahedra, edges with two equivalent CoO2F4 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. The Co–O bond length is 2.02 Å. There are a spread of Co–F bond distances ranging from 2.01–2.25 Å. In the eleventh Co2+ site, Co2+ is bonded to six F1- atoms to form CoF6 octahedra that share a cornercorner with one CoOF5 octahedra, corners with five LiOF5 octahedra, edges with three CoF6 octahedra, and a faceface with one CoF6 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Co–F bond distances ranging from 1.97–2.20 Å. In the twelfth Co2+ site, Co2+ is bonded to six F1- atoms to form CoF6 octahedra that share corners with three LiOF5 octahedra, corners with three CoOF5 octahedra, an edgeedge with one CoOF5 octahedra, and a faceface with one CoF6 octahedra. The corner-sharing octahedra tilt angles range from 35–56°. There are a spread of Co–F bond distances ranging from 1.97–2.17 Å. In the thirteenth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form CoOF5 octahedra that share corners with two equivalent CoOF5 octahedra, corners with four LiOF5 octahedra, edges with three CoF6 octahedra, and a faceface with one CoOF5 octahedra. The corner-sharing octahedra tilt angles range from 31–59°. The Co–O bond length is 2.06 Å. There are a spread of Co–F bond distances ranging from 2.01–2.19 Å. In the fourteenth Co2+ site, Co2+ is bonded to two O2- and four F1- atoms to form CoO2F4 octahedra that share corners with three LiOF5 octahedra, corners with three CoOF5 octahedra, edges with two equivalent CoOF5 octahedra, and a faceface with one CoO2F4 octahedra. The corner-sharing octahedra tilt angles range from 40–61°. There are one shorter (1.97 Å) and one longer (2.15 Å) Co–O bond lengths. There are a spread of Co–F bond distances ranging from 2.03–2.32 Å. In the fifteenth Co2+ site, Co2+ is bonded to one O2- and five F1- atoms to form distorted CoOF5 octahedra that share a cornercorner with one LiF6 octahedra, corners with three CoF6 octahedra, edges with two equivalent CoF6 octahedra, and edges with three LiOF5 octahedra. The corner-sharing octahedra tilt angles range from 35–52°. The Co–O bond length is 1.89 Å. There are a spread of Co–F bond distances ranging from 2.05–2.40 Å. In the sixteenth Co2+ site, Co2+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Co–O bond length is 1.86 Å. There are a spread of Co–F bond distances ranging from 2.02–2.60 Å. There are four inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and three Co2+ atoms to form distorted OLiCo3 trigonal pyramids that share a cornercorner with one FLiCo4 trigonal bipyramid, corners with two FLi2Co2 trigonal pyramids, an edgeedge with one OLiCo4 trigonal bipyramid, and an edgeedge with one FLi2Co2 trigonal pyramid. In the second O2- site, O2- is bonded to one Li1+ and four Co2+ atoms to form distorted OLiCo4 trigonal bipyramids that share corners with two FLiCo3 trigonal pyramids, an edgeedge with one OLiCo3 trigonal pyramid, and edges with three FLi2Co2 trigonal pyramids. In the third O2- site, O2- is bonded to one Li1+ and four Co2+ atoms to form distorted OLiCo4 trigonal bipyramids that share corners with two FLiCo3 trigonal pyramids and edges with two FLi2Co2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Co2+ atoms to form distorted OLi2Co2 tetrahedra that share a cornercorner with one FLi2Co2 tetrahedra, corners with five FLi2Co2 trigonal pyramids, an edgeedge with one FLi2Co2 tetrahedra, edges with two FLiCo4 trigonal bipyramids, and an edgeedge with one FLi2Co2 trigonal pyramid. There are thirty-two inequivalent F1- sites. In the first F1- site, F1- is bonded to two Li1+ and two Co2+ atoms to form distorted FLi2Co2 trigonal pyramids that share a cornercorner with one OLi2Co2 tetrahedra, corners with two equivalent FLi2Co2 tetrahedra, corners with three FLiCo3 trigonal pyramids, an edgeedge with one FLiCo4 trigonal bipyramid, and edges with two FLi2Co2 trigonal pyramids. In the second F1- site, F1- is bonded to two Li1+ and two Co2+ atoms to form distorted FLi2Co2 trigonal pyramids that share a cornercorner with one OLi2Co2 tetrahedra, corners with three FLi2Co2 trigonal pyramids, an edgeedge with one FLiCo4 trigonal bipyramid, and edges with three FLiCo3 trigonal pyramids. In the third F1- site, F1- is bonded in a trigonal planar geometry to one Li1+ and two Co2+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to one Li1+ and two Co2+ atoms. In the fifth F1- site, F1- is bonded in a 4-coordinate geometry to one Li1+ and three Co2+ atoms. In the sixth F1- site, F1- is bonded to two Li1+ and two Co2+ atoms to form distorted FLi2Co2 trigonal pyramids that share corners with three FLi2Co2 trigonal pyramids, edges with two OLiCo4 trigonal bipyramids, and an edgeedge with one FLi2Co2 trigonal pyramid. In the seventh F1- site, F1- is bonded to one Li1+ and four Co2+ atoms to form distorted FLiCo4 trigonal bipyramids that share a cornercorner with one FLi2Co2 tetrahedra, corners with three FLi2Co2 trigonal pyramids, an edgeedge with one OLi2Co2 tetrahedra, an edgeedge with one FLi2Co2 tetrahedra, and edges with two FLiCo3 trigonal pyramids. In the eighth F1- site, F1- is bonded to one Li1+ and four Co2+ atoms to form distorted FLiCo4 trigonal bipyramids that share a cornercorner with one FLi2Co2 tetrahedra, a cornercorner with one OLiCo3 trigonal pyramid, corners with two FLi2Co2 trigonal pyramids, an edgeedge with one OLi2Co2 tetrahedra, and edges with three FLiCo3 trigonal pyramids. In the ninth F1- site, F1- is bonded to one Li1+ and three Co2+ atoms to form distorted FLiCo3 trigonal pyramids that share a cornercorner with one OLiCo4 trigonal bipyramid, corners with four FLi2Co2 trigonal pyramids, an

36 MATERIALS SCIENCE↗