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Materials Data on NbSb3O8 by Materials Project

NbSb3O8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Nb5+ sites. In the first Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–44°. There are a spread of Nb–O bond distances ranging from 1.94–2.10 Å. In the second Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 35–48°. There are a spread of Nb–O bond distances ranging from 1.87–2.14 Å. In the third Nb5+ site, Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with four equivalent SbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–44°. There are a spread of Nb–O bond distances ranging from 1.94–2.10 Å. In the fourth Nb5+ site, Nb5+ is bonded to six O2- atoms to form corner-sharing NbO6 octahedra. The corner-sharing octahedra tilt angles range from 35–48°. There are a spread of Nb–O bond distances ranging from 1.87–2.14 Å. There are twelve inequivalent Sb+3.67+ sites. In the first Sb+3.67+ site, Sb+3.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sb–O bond distances ranging from 2.06–2.64 Å. In the second Sb+3.67+ site, Sb+3.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sb–O bond distances ranging from 2.05–2.61 Å. In the third Sb+3.67+ site, Sb+3.67+ is bonded to six O2- atoms to form corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of Sb–O bond distances ranging from 1.99–2.07 Å. In the fourth Sb+3.67+ site, Sb+3.67+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with four equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–44°. There are a spread of Sb–O bond distances ranging from 1.97–2.07 Å. In the fifth Sb+3.67+ site, Sb+3.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sb–O bond distances ranging from 2.06–2.64 Å. In the sixth Sb+3.67+ site, Sb+3.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sb–O bond distances ranging from 2.06–2.60 Å. In the seventh Sb+3.67+ site, Sb+3.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sb–O bond distances ranging from 2.07–2.62 Å. In the eighth Sb+3.67+ site, Sb+3.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sb–O bond distances ranging from 2.05–2.64 Å. In the ninth Sb+3.67+ site, Sb+3.67+ is bonded to six O2- atoms to form corner-sharing SbO6 octahedra. The corner-sharing octahedra tilt angles range from 42–46°. There are a spread of Sb–O bond distances ranging from 1.99–2.06 Å. In the tenth Sb+3.67+ site, Sb+3.67+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with four equivalent NbO6 octahedra. The corner-sharing octahedra tilt angles range from 37–44°. There are a spread of Sb–O bond distances ranging from 1.97–2.06 Å. In the eleventh Sb+3.67+ site, Sb+3.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sb–O bond distances ranging from 2.05–2.63 Å. In the twelfth Sb+3.67+ site, Sb+3.67+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Sb–O bond distances ranging from 2.06–2.60 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Nb5+ and two Sb+3.67+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and one Sb+3.67+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one Sb+3.67+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two Nb5+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Sb+3.67+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Sb+3.67+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Sb+3.67+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Nb5+ and two Sb+3.67+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Sb+3.67+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Sb+3.67+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Sb+3.67+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Sb+3.67+ atoms. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Sb+3.67+ atoms. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one Sb+3.67+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Nb5+ and two Sb+3.67+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Sb+3.67+ atoms. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Nb5+ and two Sb+3.67+ atoms. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Nb5+ and one Sb+3.67+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to two Nb5+ atoms. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one Sb+3.67+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Sb+3.67+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Sb+3.67+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Sb+3.67+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Sb+3.67+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Nb5+ and two Sb+3.67+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Sb+3.67+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Sb+3.67+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Nb5+ and two Sb+3.67+ atoms. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two Sb+3.67+ atoms. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one Sb+3.67+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to three Sb+3.67+ atoms. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Nb5+ and two Sb+3.67+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MnFeCo(PO4)3 by Materials Project

MnFeCo(PO4)3 crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.90–2.34 Å. In the second Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 pentagonal pyramids that share corners with four MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.91–2.33 Å. In the third Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent MnO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Mn–O bond distances ranging from 1.92–2.31 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent MnO6 pentagonal pyramids, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Mn–O bond distances ranging from 1.91–2.31 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of Fe–O bond distances ranging from 1.90–2.17 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Fe–O bond distances ranging from 1.93–2.22 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of Fe–O bond distances ranging from 1.93–2.12 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form distorted FeO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–48°. There are a spread of Fe–O bond distances ranging from 1.93–2.14 Å. There are four inequivalent Co4+ sites. In the first Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.88–2.13 Å. In the second Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with four FeO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 46–47°. There are two shorter (1.88 Å) and four longer (2.14 Å) Co–O bond lengths. In the third Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.88–2.20 Å. In the fourth Co4+ site, Co4+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with two equivalent CoO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Co–O bond distances ranging from 1.86–2.14 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 MnO6 octahedra, a cornercorner with one CoO6 octahedra, corners with two equivalent MnO6 pentagonal pyramids, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–50°. 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 MnO6 octahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of P–O bond distances ranging from 1.53–1.56 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 FeO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 35–55°. There is two shorter (1.54 Å) and two longer (1.57 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four FeO6 octahedra and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 39–52°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra, corners with two equivalent MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 37–55°. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CoO6 octahedra, corners with three MnO6 octahedra, and an edgeedge with one MnO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 36–53°. There are a spread of P–O bond distances ranging from 1.54–1.56 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 three FeO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 40–56°. There are a spread of P–O bond distances ranging from 1.52–1.58 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 FeO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 43–55°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the tenth 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 CoO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 44–55°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with three CoO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two FeO6 octahedra, corners with two equivalent CoO6 octahedra, and an edgeedge with one FeO6 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There is two shorter (1.53 Å) and two longer (1.58 Å) P–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Fe3+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+, one Fe3+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn2+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn2+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn2+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Co4+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Co4+, and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Fe3+, one Co4+, and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Co4+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Co4+ and one P5+ atom

36 MATERIALS SCIENCE↗

Materials Data on Sr16Mn8O29 by Materials Project

Sr16Mn8O29 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.86 Å. In the second Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 pentagonal bipyramids that share a cornercorner with one MnO5 square pyramid, edges with two equivalent SrO7 pentagonal bipyramids, and edges with four MnO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.45–2.67 Å. In the third Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.48–2.90 Å. In the fourth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.78 Å. In the fifth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.71 Å. In the sixth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.88 Å. In the seventh Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.77 Å. In the eighth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.85 Å. In the ninth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.89 Å. In the tenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.79 Å. In the eleventh Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.56–2.85 Å. In the twelfth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.50–2.78 Å. In the thirteenth Sr2+ site, Sr2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Sr–O bond distances ranging from 2.49–2.77 Å. In the fourteenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–2.85 Å. In the fifteenth Sr2+ site, Sr2+ is bonded to seven O2- atoms to form distorted SrO7 pentagonal bipyramids that share a cornercorner with one MnO5 square pyramid, edges with two equivalent SrO7 pentagonal bipyramids, and edges with four MnO5 square pyramids. There are a spread of Sr–O bond distances ranging from 2.47–2.67 Å. In the sixteenth Sr2+ site, Sr2+ is bonded in a 9-coordinate geometry to nine O2- atoms. There are a spread of Sr–O bond distances ranging from 2.53–2.87 Å. There are eight inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra, corners with two MnO5 square pyramids, and edges with two SrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 4°. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the second Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra, a cornercorner with one SrO7 pentagonal bipyramid, corners with two MnO5 square pyramids, and edges with two SrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mn–O bond distances ranging from 1.95–2.01 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra and corners with two MnO5 square pyramids. The corner-sharing octahedral tilt angles are 11°. There are a spread of Mn–O bond distances ranging from 1.91–2.03 Å. In the fourth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra and corners with two MnO5 square pyramids. The corner-sharing octahedral tilt angles are 11°. There are a spread of Mn–O bond distances ranging from 1.90–2.03 Å. In the fifth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with three MnO5 square pyramids. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mn–O bond distances ranging from 1.91–2.01 Å. In the sixth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with three MnO5 square pyramids. The corner-sharing octahedral tilt angles are 8°. There are a spread of Mn–O bond distances ranging from 1.91–2.03 Å. In the seventh Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra, a cornercorner with one SrO7 pentagonal bipyramid, corners with two MnO5 square pyramids, and edges with two SrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 4°. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the eighth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form MnO5 square pyramids that share a cornercorner with one MnO6 octahedra, corners with two MnO5 square pyramids, and edges with two SrO7 pentagonal bipyramids. The corner-sharing octahedral tilt angles are 9°. There are a spread of Mn–O bond distances ranging from 1.95–2.03 Å. There are twenty-nine inequivalent O2- sites. In the first O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with six OSr4Mn2 octahedra, edges with seven OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–59°. In the second O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr4Mn2 octahedra, edges with eight OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 6–58°. In the third O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with ten OSr4Mn2 octahedra, edges with seven OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–63°. In the fourth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr5Mn octahedra, edges with eight OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 6–57°. In the fifth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with eight OSr4Mn2 octahedra and edges with seven OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 4–64°. In the sixth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with eight OSr4Mn2 octahedra, edges with seven OSr5Mn octahedra, and faces with two OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–57°. In the seventh O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the eighth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the ninth O2- site, O2- is bonded to four Sr2+ and two Mn+3.25+ atoms to form distorted OSr4Mn2 octahedra that share corners with twelve OSr5Mn octahedra, an edgeedge with one OSr4Mn2 octahedra, and faces with four OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 43–64°. In the tenth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr4Mn2 octahedra, edges with eight OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–56°. In the eleventh O2- site, O2- is bonded in a 6-coordinate geometry to five Sr2+ and one Mn+3.25+ atom. In the twelfth O2- site, O2- is bonded to four Sr2+ and two Mn+3.25+ atoms to form distorted OSr4Mn2 octahedra that share corners with eleven OSr5Mn octahedra and faces with five OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 44–63°. In the thirteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the fourteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the fifteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the sixteenth O2- site, O2- is bonded to four Sr2+ and two Mn+3.25+ atoms to form distorted OSr4Mn2 octahedra that share corners with twelve OSr5Mn octahedra, an edgeedge with one OSr4Mn2 octahedra, and faces with four OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the eighteenth O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the nineteenth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr4Mn2 octahedra, edges with seven OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–59°. In the twentieth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with nine OSr4Mn2 octahedra, edges with eight OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 6–56°. In the twenty-first O2- site, O2- is bonded to four Sr2+ and two Mn+3.25+ atoms to form distorted OSr4Mn2 octahedra that share corners with eleven OSr5Mn octahedra, edges with two OSr4Mn2 octahedra, and faces with four OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 43–59°. In the twenty-second O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the twenty-third O2- site, O2- is bonded in a 6-coordinate geometry to four Sr2+ and two Mn+3.25+ atoms. In the twenty-fourth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with nine OSr4Mn2 octahedra and edges with eight OSr5Mn octahedra. The corner-sharing octahedra tilt angles range from 5–63°. In the twenty-fifth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr4Mn2 octahedra, edges with eight OSr5Mn octahedra, and faces with two OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–57°. In the twenty-sixth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr4Mn2 octahedra, edges with eight OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–57°. In the twenty-seventh O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with seven OSr4Mn2 octahedra, edges with seven OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–58°. In the twenty-eighth O2- site, O2- is bonded to five Sr2+ and one Mn+3.25+ atom to form distorted OSr5Mn octahedra that share corners with eight OSr4Mn2 octahedra, edges with seven OSr5Mn octahedra, and a faceface with one OSr4Mn2 octahedra. The cor

36 MATERIALS SCIENCE↗

Materials Data on Mn15CrO32 by Materials Project

CrMn15O32 is trigonal omega-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share edges with six MnO6 octahedra. There is five shorter (1.95 Å) and one longer (1.96 Å) Cr–O bond length. There are fifteen inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one CrO6 octahedra and edges with five MnO6 octahedra. There is four shorter (1.94 Å) and two longer (1.95 Å) Mn–O bond length. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one CrO6 octahedra and edges with five MnO6 octahedra. There is three shorter (1.94 Å) and three longer (1.95 Å) Mn–O bond length. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There is three shorter (1.94 Å) and three longer (1.95 Å) Mn–O bond length. In the fourth Mn4+ site, Mn4+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. All Mn–O bond lengths are 1.94 Å. In the fifth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one CrO6 octahedra and edges with five MnO6 octahedra. There is five shorter (1.94 Å) and one longer (1.95 Å) Mn–O bond length. In the sixth Mn4+ site, Mn4+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There is one shorter (1.94 Å) and five longer (1.95 Å) Mn–O bond length. In the seventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one CrO6 octahedra and edges with five MnO6 octahedra. There is five shorter (1.94 Å) and one longer (1.95 Å) Mn–O bond length. In the eighth Mn4+ site, Mn4+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. All Mn–O bond lengths are 1.94 Å. In the ninth Mn4+ site, Mn4+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There is five shorter (1.94 Å) and one longer (1.95 Å) Mn–O bond length. In the tenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There is three shorter (1.94 Å) and three longer (1.95 Å) Mn–O bond length. In the eleventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There is five shorter (1.94 Å) and one longer (1.95 Å) Mn–O bond length. In the twelfth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one CrO6 octahedra and edges with five MnO6 octahedra. There is five shorter (1.94 Å) and one longer (1.95 Å) Mn–O bond length. In the thirteenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There is three shorter (1.94 Å) and three longer (1.95 Å) Mn–O bond length. In the fourteenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share an edgeedge with one CrO6 octahedra and edges with five MnO6 octahedra. All Mn–O bond lengths are 1.94 Å. In the fifteenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There is two shorter (1.94 Å) and four longer (1.95 Å) Mn–O bond length. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Cr4+ and two Mn4+ atoms. In the second O2- site, O2- is bonded in a distorted T-shaped geometry to one Cr4+ and two Mn4+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to one Cr4+ and two Mn4+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the tenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Cr4+ and two Mn4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted T-shaped geometry to one Cr4+ and two Mn4+ atoms. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Cr4+ and two Mn4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn3FeO8 by Materials Project

Mn3FeO8 is trigonal omega-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+4.33+ sites. In the first Mn+4.33+ site, Mn+4.33+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the second Mn+4.33+ site, Mn+4.33+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the third Mn+4.33+ site, Mn+4.33+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. In the fourth Mn+4.33+ site, Mn+4.33+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. In the fifth Mn+4.33+ site, Mn+4.33+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the sixth Mn+4.33+ site, Mn+4.33+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the seventh Mn+4.33+ site, Mn+4.33+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.96 Å. In the eighth Mn+4.33+ site, Mn+4.33+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the ninth Mn+4.33+ site, Mn+4.33+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the tenth Mn+4.33+ site, Mn+4.33+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the eleventh Mn+4.33+ site, Mn+4.33+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the twelfth Mn+4.33+ site, Mn+4.33+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with two FeO6 octahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.96 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.92–2.04 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.92–2.03 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.04 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.05 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+4.33+ and one Fe3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+4.33+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the fifth O2- site, O2- is bonded in a distorted T-shaped geometry to two Mn+4.33+ and one Fe3+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+4.33+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+4.33+ and one Fe3+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+4.33+ and one Fe3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+4.33+ atoms. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+4.33+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+4.33+ and one Fe3+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+4.33+ and one Fe3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+4.33+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+4.33+ and one Fe3+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+4.33+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+4.33+ and one Fe3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+4.33+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+4.33+ atoms. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+4.33+ and one Fe3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on NaLi5Mn2P2(CO7)2 by Materials Project

NaLi5Mn2P2(CO7)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Na–O bond distances ranging from 2.19–2.80 Å. In the second Na1+ site, Na1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Na–O bond distances ranging from 2.31–2.87 Å. There are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 2.00–2.47 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.78 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.02–2.78 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.09–2.78 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 2.10–2.78 Å. In the sixth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.07–2.71 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.06–2.73 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 2.02–2.70 Å. In the ninth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.43 Å. In the tenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.52 Å. There are four inequivalent Mn2+ sites. In the first Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.12–2.53 Å. In the second Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.12–2.53 Å. In the third Mn2+ site, Mn2+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.12–2.46 Å. In the fourth Mn2+ site, Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 2.13–2.33 Å. There are four inequivalent C4+ sites. In the first C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the second C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.30 Å) and one longer (1.31 Å) C–O bond length. In the third C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. All C–O bond lengths are 1.30 Å. In the fourth C4+ site, C4+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of C–O bond distances ranging from 1.29–1.31 Å. There are four inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the third P5+ site, P5+ is bonded in a tetrahedral geometry to four O2- atoms. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 46–51°. All P–O bond lengths are 1.56 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, two Li1+, and one C4+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, three Li1+, and one C4+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Li1+, one Mn2+, and one C4+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to three Li1+, one Mn2+, and one C4+ atom. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to three Li1+, one Mn2+, and one C4+ atom. In the sixth O2- site, O2- is bonded in a 1-coordinate geometry to three Li1+, one Mn2+, and one C4+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Li1+, one Mn2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Li1+, one Mn2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a tetrahedral geometry to two Li1+, one Mn2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form corner-sharing OLi2MnP tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded to two Li1+, one Mn2+, and one P5+ atom to form edge-sharing OLi2MnP tetrahedra. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Li1+, one Mn2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded to one Na1+, one Li1+, one Mn2+, and one P5+ atom to form distorted ONaLiMnP tetrahedra that share corners with two equivalent ONaLi2MnC trigonal bipyramids and an edgeedge with one ONaLi2C tetrahedra. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Na1+, one Li1+, one Mn2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, two Li1+, one Mn2+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn2+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, two Li1+, one Mn2+, and one C4+ atom. In the twenty-fourth O2- site, O2- is bonded to one Na1+, two Li1+, one Mn2+, and one C4+ atom to form distorted corner-sharing ONaLi2MnC trigonal bipyramids. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Na1+, two Li1+, one Mn2+, and one C4+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to one Na1+, two Li1+, one Mn2+, and one C4+ atom. In the twenty-seventh O2- site, O2- is bonded to three Li1+ and one C4+ atom to form edge-sharing OLi3C tetrahedra. In the twenty-eighth O2- site, O2- is bonded to one Na1+, two Li1+, and one C4+ atom to form distorted ONaLi2C tetrahedra that share corners with two equivalent ONaLi2MnC trigonal bipyramids and an edgeedge with one ONaLiMnP tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on PrHfO4 by Materials Project

PrHfO4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Pr4+ sites. In the first Pr4+ site, Pr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.34–2.69 Å. In the second Pr4+ site, Pr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.33–2.69 Å. In the third Pr4+ site, Pr4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.33–2.72 Å. In the fourth Pr4+ site, Pr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.33–2.68 Å. In the fifth Pr4+ site, Pr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.33–2.70 Å. In the sixth Pr4+ site, Pr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.34–2.68 Å. In the seventh Pr4+ site, Pr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.34–2.69 Å. In the eighth Pr4+ site, Pr4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.34–2.66 Å. There are eight inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.12–2.50 Å. In the second Hf4+ site, Hf4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.11–2.57 Å. In the third Hf4+ site, Hf4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.12–2.56 Å. In the fourth Hf4+ site, Hf4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.10–2.53 Å. In the fifth Hf4+ site, Hf4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.11–2.47 Å. In the sixth Hf4+ site, Hf4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.11–2.55 Å. In the seventh Hf4+ site, Hf4+ is bonded in a distorted body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.12–2.48 Å. In the eighth Hf4+ site, Hf4+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.10–2.52 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the second O2- site, O2- is bonded to two Pr4+ and two Hf4+ atoms to form distorted OPr2Hf2 tetrahedra that share corners with two OPr4 tetrahedra and edges with three OPr2Hf2 tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the fourth O2- site, O2- is bonded to four Pr4+ atoms to form a mixture of corner and edge-sharing OPr4 tetrahedra. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to four Hf4+ atoms. In the sixth O2- site, O2- is bonded to two Pr4+ and two Hf4+ atoms to form distorted OPr2Hf2 tetrahedra that share corners with two OPr4 tetrahedra and edges with three OPr2Hf2 tetrahedra. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the ninth O2- site, O2- is bonded to two Pr4+ and two Hf4+ atoms to form distorted OPr2Hf2 tetrahedra that share corners with two OPr4 tetrahedra and edges with three OPr2Hf2 tetrahedra. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to four Hf4+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the thirteenth O2- site, O2- is bonded to four Pr4+ atoms to form OPr4 tetrahedra that share corners with nine OPr4 tetrahedra and edges with two OPr2Hf2 tetrahedra. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the fifteenth O2- site, O2- is bonded to two Pr4+ and two Hf4+ atoms to form distorted OPr2Hf2 tetrahedra that share corners with four OPr4 tetrahedra and edges with three OPr2Hf2 tetrahedra. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the seventeenth O2- site, O2- is bonded to four Pr4+ atoms to form a mixture of corner and edge-sharing OPr4 tetrahedra. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to four Hf4+ atoms. In the nineteenth O2- site, O2- is bonded to two Pr4+ and two Hf4+ atoms to form distorted OPr2Hf2 tetrahedra that share corners with four OPr2Hf2 tetrahedra and edges with three OPr4 tetrahedra. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the twenty-first O2- site, O2- is bonded to two Pr4+ and two Hf4+ atoms to form distorted OPr2Hf2 tetrahedra that share corners with ten OPr2Hf2 tetrahedra and an edgeedge with one OPr4 tetrahedra. In the twenty-second O2- site, O2- is bonded to two Pr4+ and two Hf4+ atoms to form distorted OPr2Hf2 tetrahedra that share corners with four OPr2Hf2 tetrahedra and edges with three OPr4 tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the twenty-fifth O2- site, O2- is bonded to two Pr4+ and two Hf4+ atoms to form distorted OPr2Hf2 tetrahedra that share corners with four OPr4 tetrahedra and edges with three OPr2Hf2 tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to four Hf4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the twenty-ninth O2- site, O2- is bonded to four Pr4+ atoms to form OPr4 tetrahedra that share corners with nine OPr4 tetrahedra and edges with two OPr2Hf2 tetrahedra. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms. In the thirty-first O2- site, O2- is bonded to two Pr4+ and two Hf4+ atoms to form distorted OPr2Hf2 tetrahedra that share corners with two OPr4 tetrahedra and edges with three OPr2Hf2 tetrahedra. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to two Pr4+ and two Hf4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiSb(SO4)2 by Materials Project

LiSb(SO4)2 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.62 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.19 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.50 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with four SbO6 octahedra, corners with two SO4 tetrahedra, and edges with two SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of Li–O bond distances ranging from 2.05–2.37 Å. There are four inequivalent Sb3+ sites. In the first Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one LiO6 pentagonal pyramid and corners with six SO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.15–2.56 Å. In the second Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share a cornercorner with one LiO6 pentagonal pyramid and corners with six SO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.14–2.64 Å. In the third Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with six SO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.24–2.40 Å. In the fourth Sb3+ site, Sb3+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with two equivalent LiO6 pentagonal pyramids and corners with six SO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 2.25–2.45 Å. There are eight inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three SbO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 39–51°. There are a spread of S–O bond distances ranging from 1.48–1.51 Å. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three SbO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of S–O bond distances ranging from 1.45–1.53 Å. In the third S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three SbO6 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of S–O bond distances ranging from 1.46–1.51 Å. In the fourth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three SbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of S–O bond distances ranging from 1.43–1.54 Å. In the fifth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three SbO6 octahedra. The corner-sharing octahedra tilt angles range from 43–52°. There are a spread of S–O bond distances ranging from 1.46–1.53 Å. In the sixth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three SbO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of S–O bond distances ranging from 1.46–1.51 Å. In the seventh S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three SbO6 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There are a spread of S–O bond distances ranging from 1.45–1.53 Å. In the eighth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three SbO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 33–52°. There are a spread of S–O bond distances ranging from 1.46–1.53 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one S6+ atom. In the second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one S6+ atom. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Sb3+ and one S6+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sb3+ and one S6+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sb3+, and one S6+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one S6+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one S6+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one S6+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+, one Sb3+, and one S6+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to one Sb3+ and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sb3+ and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Sb3+, and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Sb3+ and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sb3+ and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a single-bond geometry to one S6+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, one Sb3+, and one S6+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sb3+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Sb3+ and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Sb3+, and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sb3+ and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Sb3+ and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Sb3+ and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Sb3+, and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Sb3+ and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiCr(SO4)2 by Materials Project

LiCr(SO4)2 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.44 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.35 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.56 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with four CrO6 octahedra, corners with two SO4 tetrahedra, and edges with two SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of Li–O bond distances ranging from 2.00–2.25 Å. There are four inequivalent Cr3+ sites. In the first Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 pentagonal pyramid and corners with six SO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.09 Å. In the second Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share a cornercorner with one LiO6 pentagonal pyramid and corners with six SO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.98–2.06 Å. In the third Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six SO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.05 Å. In the fourth Cr3+ site, Cr3+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with two equivalent LiO6 pentagonal pyramids and corners with six SO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 2.01–2.06 Å. There are eight inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three CrO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 38–48°. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three CrO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of S–O bond distances ranging from 1.44–1.51 Å. In the third S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three CrO6 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of S–O bond distances ranging from 1.45–1.50 Å. In the fourth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 42–50°. There are a spread of S–O bond distances ranging from 1.43–1.54 Å. In the fifth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three CrO6 octahedra. The corner-sharing octahedra tilt angles range from 42–49°. There are a spread of S–O bond distances ranging from 1.44–1.53 Å. In the sixth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three CrO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 48–49°. There are a spread of S–O bond distances ranging from 1.45–1.51 Å. In the seventh S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three CrO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of S–O bond distances ranging from 1.44–1.51 Å. In the eighth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three CrO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 40–48°. There are a spread of S–O bond distances ranging from 1.45–1.53 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one S6+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one S6+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one S6+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr3+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr3+ and one S6+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one S6+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr3+ and one S6+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr3+ and one S6+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr3+ and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr3+ and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a single-bond geometry to one S6+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one S6+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr3+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cr3+ and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Cr3+ and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr3+, and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr3+, and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li5Co2(PO4)3 by Materials Project

Li5Co2(PO4)3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twenty inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CoO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 71–74°. There are a spread of Li–O bond distances ranging from 1.98–2.28 Å. In the second Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. In the third Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.09 Å. In the fourth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and edges with two CoO6 octahedra. There are a spread of Li–O bond distances ranging from 1.90–2.06 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and edges with two CoO6 octahedra. There are a spread of Li–O bond distances ranging from 1.90–2.07 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.25 Å. In the eighth Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.09 Å. In the ninth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two CoO6 octahedra, a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and an edgeedge with one CoO6 octahedra. The corner-sharing octahedra tilt angles range from 71–74°. There are a spread of Li–O bond distances ranging from 1.98–2.27 Å. In the eleventh Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.69 Å. In the twelfth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are two shorter (1.99 Å) and two longer (2.04 Å) Li–O bond lengths. In the thirteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.59 Å. In the fourteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.35 Å. In the fifteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and edges with two CoO6 octahedra. There are a spread of Li–O bond distances ranging from 1.86–2.12 Å. In the sixteenth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and edges with two CoO6 octahedra. There are a spread of Li–O bond distances ranging from 1.86–2.11 Å. In the seventeenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.85–2.37 Å. In the eighteenth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.60 Å. In the nineteenth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.99–2.05 Å. In the twentieth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.68 Å. There are eight inequivalent Co2+ sites. In the first Co2+ site, Co2+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Co–O bond distances ranging from 2.00–2.38 Å. In the second Co2+ site, Co2+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share a cornercorner with one LiO4 tetrahedra and corners with six PO4 tetrahedra. There are a spread of Co–O bond distances ranging from 2.01–2.38 Å. In the third Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 2.05–2.26 Å. In the fourth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share a cornercorner with one LiO4 tetrahedra, corners with six PO4 tetrahedra, and edges with two LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 2.04–2.25 Å. In the fifth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 2.04–2.26 Å. In the sixth Co2+ site, Co2+ is bonded to six O2- atoms to form CoO6 octahedra that share corners with six PO4 tetrahedra and edges with two LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 2.05–2.27 Å. In the seventh Co2+ site, Co2+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 2.04–2.38 Å. In the eighth Co2+ site, Co2+ is bonded to six O2- atoms to form distorted CoO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Co–O bond distances ranging from 2.04–2.38 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 corners with four CoO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–51°. 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 corners with four CoO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–52°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–48°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO6 octahedra and a cornercorner with one LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 26–52°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO6 octahedra and corners with three LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 28–48°. 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 corners with four CoO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–51°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–53°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–56°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–56°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 37–53°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four CoO6 octahedra and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–53°. There are a spread of P–O bond distances ranging from 1.53–1.58 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co2+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one Co2+, and one P5+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co2+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co2+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co2+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Co2+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Co2+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Co2+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Co2+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Co2+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co2+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co2+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Co2+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Co2+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Co2+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+, one Co2+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Co2+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Co2+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to two Li1+, one Co2+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, o

36 MATERIALS SCIENCE↗

Materials Data on LiFe(SO4)2 by Materials Project

Li1.0Fe(SO4)2 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.52 Å. In the second Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.41 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.60 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with four FeO6 octahedra, corners with two SO4 tetrahedra, and edges with two SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–59°. There are a spread of Li–O bond distances ranging from 1.99–2.29 Å. There are four inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO6 pentagonal pyramid and corners with six SO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.12 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share a cornercorner with one LiO6 pentagonal pyramid and corners with six SO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.98–2.11 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six SO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.09 Å. In the fourth Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with two equivalent LiO6 pentagonal pyramids and corners with six SO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 2.02–2.08 Å. There are eight inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 37–46°. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three FeO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of S–O bond distances ranging from 1.44–1.52 Å. In the third S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 44–46°. There are a spread of S–O bond distances ranging from 1.45–1.50 Å. In the fourth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 42–49°. There are a spread of S–O bond distances ranging from 1.43–1.53 Å. In the fifth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of S–O bond distances ranging from 1.44–1.53 Å. In the sixth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three FeO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 46–50°. There are a spread of S–O bond distances ranging from 1.45–1.51 Å. In the seventh S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three FeO6 octahedra. The corner-sharing octahedra tilt angles range from 47–48°. There are a spread of S–O bond distances ranging from 1.45–1.52 Å. In the eighth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three FeO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 38–47°. There are a spread of S–O bond distances ranging from 1.45–1.52 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one S6+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one S6+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe3+, and one S6+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one S6+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one S6+ atom. In the ninth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one S6+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one S6+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe3+, and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe3+ and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a single-bond geometry to one S6+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one S6+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe3+, and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe3+ and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Fe3+ and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Fe3+, and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Fe3+, and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiNi(SO4)2 by Materials Project

LiNi(SO4)2 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with four NiO6 octahedra, corners with two SO4 tetrahedra, and edges with two SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–59°. There are a spread of Li–O bond distances ranging from 2.00–2.37 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with four NiO6 octahedra, corners with two SO4 tetrahedra, and edges with two SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Li–O bond distances ranging from 1.99–2.39 Å. In the third Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.56 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with four NiO6 octahedra, corners with two SO4 tetrahedra, and edges with two SO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–57°. There are a spread of Li–O bond distances ranging from 2.03–2.29 Å. There are four inequivalent Ni3+ sites. In the first Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three LiO6 pentagonal pyramids and corners with six SO4 tetrahedra. There are a spread of Ni–O bond distances ranging from 2.02–2.08 Å. In the second Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with three LiO6 pentagonal pyramids and corners with six SO4 tetrahedra. There are a spread of Ni–O bond distances ranging from 2.03–2.08 Å. In the third Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with two LiO6 pentagonal pyramids and corners with six SO4 tetrahedra. There are a spread of Ni–O bond distances ranging from 2.03–2.08 Å. In the fourth Ni3+ site, Ni3+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with four LiO6 pentagonal pyramids and corners with six SO4 tetrahedra. There are a spread of Ni–O bond distances ranging from 2.04–2.11 Å. There are eight inequivalent S6+ sites. In the first S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. In the second S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of S–O bond distances ranging from 1.46–1.50 Å. In the third S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 47–49°. There are a spread of S–O bond distances ranging from 1.46–1.50 Å. In the fourth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three NiO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 39–48°. There are a spread of S–O bond distances ranging from 1.46–1.51 Å. In the fifth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three NiO6 octahedra and a cornercorner with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 43–49°. There are a spread of S–O bond distances ranging from 1.46–1.51 Å. In the sixth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 48–50°. There are a spread of S–O bond distances ranging from 1.46–1.50 Å. In the seventh S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three NiO6 octahedra and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of S–O bond distances ranging from 1.45–1.51 Å. In the eighth S6+ site, S6+ is bonded to four O2- atoms to form SO4 tetrahedra that share corners with three NiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and an edgeedge with one LiO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 40–48°. There are a spread of S–O bond distances ranging from 1.47–1.51 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one S6+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one S6+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ni3+, and one S6+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one S6+ atom. In the sixth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni3+ and one S6+ atom. In the seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni3+ and one S6+ atom. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one S6+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni3+ and one S6+ atom. In the eleventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni3+ and one S6+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni3+ and one S6+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ni3+, and one S6+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one S6+ atom. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni3+ and one S6+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one S6+ atom. In the eighteenth O2- site, O2- is bonded in a single-bond geometry to one S6+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one S6+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni3+ and one S6+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one S6+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ni3+, and one S6+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one S6+ atom. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Li1+ and one S6+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one S6+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni3+ and one S6+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Ni3+ and one S6+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one S6+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Ni3+, and one S6+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one S6+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one S6+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Ni3+, and one S6+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMnP2O7 by Materials Project

LiMnP2O7 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 distorted LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Li–O bond distances ranging from 1.84–1.95 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.84–2.27 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.88–1.94 Å. In the fifth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.96–2.49 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Li–O bond distances ranging from 1.85–2.00 Å. In the seventh Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.82–2.70 Å. In the eighth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.89–2.30 Å. There are eight inequivalent Mn3+ sites. In the first Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.93–2.21 Å. In the second Mn3+ site, Mn3+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.19 Å. In the third Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with two LiO4 tetrahedra, corners with four PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.43 Å. In the fourth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.41 Å. In the fifth Mn3+ site, Mn3+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.27 Å. In the sixth Mn3+ site, Mn3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.96–2.39 Å. In the seventh Mn3+ site, Mn3+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.92–2.33 Å. In the eighth Mn3+ site, Mn3+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.45 Å. There are sixteen 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 MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 56°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–57°. There are a spread of P–O bond distances ranging from 1.48–1.61 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 LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 22–56°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 31–46°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 30°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 33°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 48–62°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–55°. There are a spread of P–O bond distances ranging from 1.50–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 22–56°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–46°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the fourteenth 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 LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fifteenth 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 LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 34°. There are a spread of P–O bond distances ranging from 1.47–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 54–60°. There are a spread of P–O bond distances ranging from 1.48–1.62 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn3+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Mn3+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn3+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn3+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn3+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn3+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn3+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn3+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn3+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the twe

36 MATERIALS SCIENCE↗

Materials Data on CeHfO4 by Materials Project

CeHfO4 is alpha bismuth trifluoride-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Ce4+ sites. In the first Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.28–2.38 Å. In the second Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.28–2.36 Å. In the third Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.29–2.37 Å. In the fourth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.27–2.38 Å. In the fifth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.27–2.39 Å. In the sixth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.28–2.37 Å. In the seventh Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.28–2.37 Å. In the eighth Ce4+ site, Ce4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Ce–O bond distances ranging from 2.29–2.38 Å. There are eight inequivalent Hf4+ sites. In the first Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.21–2.33 Å. In the second Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.21–2.33 Å. In the third Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.13–2.50 Å. In the fourth Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.21–2.33 Å. In the fifth Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.21–2.33 Å. In the sixth Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.14–2.49 Å. In the seventh Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.21–2.34 Å. In the eighth Hf4+ site, Hf4+ is bonded in a body-centered cubic geometry to eight O2- atoms. There are a spread of Hf–O bond distances ranging from 2.20–2.34 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe2Hf2 tetrahedra and edges with six OCe4 tetrahedra. In the second O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the third O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the fourth O2- site, O2- is bonded to four Hf4+ atoms to form a mixture of distorted edge and corner-sharing OHf4 tetrahedra. In the fifth O2- site, O2- is bonded to four Ce4+ atoms to form OCe4 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the sixth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the seventh O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the eighth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the ninth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe2Hf2 tetrahedra and edges with six OCe4 tetrahedra. In the tenth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe2Hf2 tetrahedra and edges with six OCe4 tetrahedra. In the eleventh O2- site, O2- is bonded to four Hf4+ atoms to form a mixture of edge and corner-sharing OHf4 tetrahedra. In the twelfth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the thirteenth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the fourteenth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the fifteenth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the sixteenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the seventeenth O2- site, O2- is bonded to four Ce4+ atoms to form a mixture of edge and corner-sharing OCe4 tetrahedra. In the eighteenth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe2Hf2 tetrahedra and edges with six OCe4 tetrahedra. In the nineteenth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the twentieth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the twenty-first O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe2Hf2 tetrahedra and edges with six OCe4 tetrahedra. In the twenty-second O2- site, O2- is bonded to four Hf4+ atoms to form a mixture of edge and corner-sharing OHf4 tetrahedra. In the twenty-third O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the twenty-fifth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe2Hf2 tetrahedra and edges with six OCe4 tetrahedra. In the twenty-sixth O2- site, O2- is bonded to four Ce4+ atoms to form OCe4 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the twenty-seventh O2- site, O2- is bonded to four Hf4+ atoms to form a mixture of distorted edge and corner-sharing OHf4 tetrahedra. In the twenty-eighth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the twenty-ninth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the thirtieth O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form a mixture of edge and corner-sharing OCe2Hf2 tetrahedra. In the thirty-first O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra. In the thirty-second O2- site, O2- is bonded to two Ce4+ and two Hf4+ atoms to form OCe2Hf2 tetrahedra that share corners with sixteen OCe4 tetrahedra and edges with six OCe2Hf2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Y4(Cu2O5)3 by Materials Project

Y4(Cu2O5)3 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are eight inequivalent Y3+ sites. In the first Y3+ site, Y3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing YO6 octahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Y–O bond distances ranging from 2.19–2.42 Å. In the second Y3+ site, Y3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing YO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 29–63°. There are a spread of Y–O bond distances ranging from 2.17–2.51 Å. In the third Y3+ site, Y3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing YO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 60°. There are a spread of Y–O bond distances ranging from 2.20–2.48 Å. In the fourth Y3+ site, Y3+ is bonded to six O2- atoms to form a mixture of distorted edge and corner-sharing YO6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Y–O bond distances ranging from 2.17–2.46 Å. In the fifth Y3+ site, Y3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Y–O bond distances ranging from 2.20–2.51 Å. In the sixth Y3+ site, Y3+ is bonded to six O2- atoms to form distorted corner-sharing YO6 octahedra. The corner-sharing octahedral tilt angles are 67°. There are a spread of Y–O bond distances ranging from 2.14–2.43 Å. In the seventh Y3+ site, Y3+ is bonded to six O2- atoms to form distorted corner-sharing YO6 octahedra. The corner-sharing octahedral tilt angles are 65°. There are a spread of Y–O bond distances ranging from 2.17–2.42 Å. In the eighth Y3+ site, Y3+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Y–O bond distances ranging from 2.18–2.53 Å. There are twelve inequivalent Cu3+ sites. In the first Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.82–1.84 Å. In the second Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.82–1.87 Å. In the third Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.83–1.91 Å. In the fourth Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There is one shorter (1.82 Å) and three longer (1.84 Å) Cu–O bond length. In the fifth Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.82–1.89 Å. In the sixth Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There is three shorter (1.85 Å) and one longer (1.89 Å) Cu–O bond length. In the seventh Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There is one shorter (1.83 Å) and three longer (1.84 Å) Cu–O bond length. In the eighth Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.83–1.91 Å. In the ninth Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.82–1.88 Å. In the tenth Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There is one shorter (1.83 Å) and three longer (1.84 Å) Cu–O bond length. In the eleventh Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.84–1.89 Å. In the twelfth Cu3+ site, Cu3+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Cu–O bond distances ranging from 1.82–1.88 Å. There are thirty inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Y3+ and one Cu3+ atom. In the second O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Y3+ and one Cu3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Y3+ and one Cu3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Y3+ and one Cu3+ atom. In the fifth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Y3+ and one Cu3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Y3+ and one Cu3+ atom. In the seventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Y3+ and two Cu3+ atoms. In the eighth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Y3+ and two Cu3+ atoms. In the ninth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Y3+ and two Cu3+ atoms. In the tenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Y3+ and two Cu3+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to one Y3+ and two Cu3+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Y3+ and two Cu3+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Y3+ and two Cu3+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Y3+ and two Cu3+ atoms. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cu3+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Y3+ and two Cu3+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Y3+ and two Cu3+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Y3+ and two Cu3+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Y3+ and two Cu3+ atoms. In the twentieth O2- site, O2- is bonded in a distorted tetrahedral geometry to two Y3+ and two Cu3+ atoms. In the twenty-first O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Y3+ and two Cu3+ atoms. In the twenty-second O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Y3+ and two Cu3+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Y3+ and two Cu3+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Y3+ and two Cu3+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Y3+ and one Cu3+ atom. In the twenty-sixth O2- site, O2- is bonded in a trigonal planar geometry to two Y3+ and one Cu3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Y3+ and one Cu3+ atom. In the twenty-eighth O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Y3+ and one Cu3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Y3+ and one Cu3+ atom. In the thirtieth O2- site, O2- is bonded in a trigonal planar geometry to two Y3+ and one Cu3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on VO2 by Materials Project

VO2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent V4+ sites. In the first V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three VO4 tetrahedra and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.72–2.19 Å. In the second V4+ site, V4+ is bonded to six O2- atoms to form distorted VO6 octahedra that share corners with three equivalent VO4 tetrahedra and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.71–2.28 Å. In the third V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three VO4 tetrahedra and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.75–2.13 Å. In the fourth V4+ site, V4+ is bonded to four O2- atoms to form corner-sharing VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of V–O bond distances ranging from 1.70–1.86 Å. In the fifth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO4 tetrahedra and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 1.99–2.11 Å. In the sixth V4+ site, V4+ is bonded to four O2- atoms to form corner-sharing VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of V–O bond distances ranging from 1.79–1.98 Å. In the seventh V4+ site, V4+ is bonded to four O2- atoms to form corner-sharing VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 45–55°. There are a spread of V–O bond distances ranging from 1.69–1.82 Å. In the eighth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with four VO4 tetrahedra and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 1.99–2.11 Å. In the ninth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six VO4 tetrahedra and edges with two equivalent VO6 octahedra. There are a spread of V–O bond distances ranging from 2.02–2.09 Å. In the tenth V4+ site, V4+ is bonded to four O2- atoms to form corner-sharing VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 48–53°. There are a spread of V–O bond distances ranging from 1.70–1.84 Å. In the eleventh V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with six VO4 tetrahedra and edges with two equivalent VO6 octahedra. There are a spread of V–O bond distances ranging from 2.02–2.10 Å. In the twelfth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five VO4 tetrahedra and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 2.00–2.16 Å. In the thirteenth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with five VO4 tetrahedra and edges with three VO6 octahedra. There are a spread of V–O bond distances ranging from 1.71–2.13 Å. In the fourteenth V4+ site, V4+ is bonded to four O2- atoms to form corner-sharing VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of V–O bond distances ranging from 1.69–1.86 Å. In the fifteenth V4+ site, V4+ is bonded to six O2- atoms to form VO6 octahedra that share corners with three equivalent VO4 tetrahedra and edges with four VO6 octahedra. There are a spread of V–O bond distances ranging from 1.72–2.20 Å. In the sixteenth V4+ site, V4+ is bonded to four O2- atoms to form corner-sharing VO4 tetrahedra. The corner-sharing octahedra tilt angles range from 53–62°. There are a spread of V–O bond distances ranging from 1.80–1.96 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a water-like geometry to two V4+ atoms. In the second O2- site, O2- is bonded in a water-like geometry to two V4+ atoms. In the third O2- site, O2- is bonded in an L-shaped geometry to two V4+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three V4+ atoms. In the fifth O2- site, O2- is bonded in a distorted tetrahedral geometry to four V4+ atoms. In the sixth O2- site, O2- is bonded in a water-like geometry to two V4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms. In the ninth O2- site, O2- is bonded in a water-like geometry to two V4+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three V4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two V4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two V4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two V4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two V4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two V4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two V4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a water-like geometry to two V4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two V4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two V4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to four V4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three V4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MnO2 by Materials Project

MnO2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent Mn4+ sites. In the first Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MnO4 tetrahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–2.03 Å. In the second Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent MnO4 tetrahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.01 Å. In the third Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MnO4 tetrahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.86–2.04 Å. In the fourth Mn4+ site, Mn4+ is bonded to four O2- atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.76–1.86 Å. In the fifth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO4 tetrahedra and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.85–2.00 Å. In the sixth Mn4+ site, Mn4+ is bonded to four O2- atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–68°. There are a spread of Mn–O bond distances ranging from 1.95–2.05 Å. In the seventh Mn4+ site, Mn4+ is bonded to four O2- atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 50–54°. There are a spread of Mn–O bond distances ranging from 1.76–1.92 Å. In the eighth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO4 tetrahedra and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.86–2.00 Å. In the ninth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO4 tetrahedra and edges with two equivalent MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.00 Å. In the tenth Mn4+ site, Mn4+ is bonded to four O2- atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–55°. There is two shorter (1.74 Å) and two longer (1.88 Å) Mn–O bond length. In the eleventh Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO4 tetrahedra and edges with two equivalent MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.01 Å. In the twelfth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five MnO4 tetrahedra and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.86–2.05 Å. In the thirteenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with five MnO4 tetrahedra and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.86–2.05 Å. In the fourteenth Mn4+ site, Mn4+ is bonded to four O2- atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of Mn–O bond distances ranging from 1.77–1.90 Å. In the fifteenth Mn4+ site, Mn4+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent MnO4 tetrahedra and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.98 Å. In the sixteenth Mn4+ site, Mn4+ is bonded to four O2- atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 55–70°. There are a spread of Mn–O bond distances ranging from 1.91–2.05 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a water-like geometry to two Mn4+ atoms. In the second O2- site, O2- is bonded in a water-like geometry to two Mn4+ atoms. In the third O2- site, O2- is bonded in a water-like geometry to two Mn4+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to four Mn4+ atoms. In the sixth O2- site, O2- is bonded in a water-like geometry to two Mn4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn4+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn4+ atoms. In the ninth O2- site, O2- is bonded in a water-like geometry to two Mn4+ atoms. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to three Mn4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn4+ atoms. In the thirteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two Mn4+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn4+ atoms. In the fifteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two Mn4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn4+ atoms. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to two Mn4+ atoms. In the eighteenth O2- site, O2- is bonded in a trigonal planar geometry to three Mn4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn4+ atoms. In the twentieth O2- site, O2- is bonded in a bent 120 degrees geometry to two Mn4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn4+ atoms. In the twenty-second O2- site, O2- is bonded in a bent 120 degrees geometry to two Mn4+ atoms. In the twenty-third O2- site, O2- is bonded in a bent 120 degrees geometry to two Mn4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a water-like geometry to two Mn4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a bent 120 degrees geometry to two Mn4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a bent 120 degrees geometry to two Mn4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to four Mn4+ atoms. In the thirtieth O2- site, O2- is bonded in a trigonal planar geometry to three Mn4+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn4+ atoms. In the thirty-second O2- site, O2- is bonded in a trigonal planar geometry to three Mn4+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on WO2 by Materials Project

WO2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are sixteen inequivalent W4+ sites. In the first W4+ site, W4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 40–54°. There are a spread of W–O bond distances ranging from 1.98–2.22 Å. In the second W4+ site, W4+ is bonded to six O2- atoms to form a mixture of distorted edge, corner, and face-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of W–O bond distances ranging from 2.04–2.17 Å. In the third W4+ site, W4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 40–53°. There are a spread of W–O bond distances ranging from 1.97–2.21 Å. In the fourth W4+ site, W4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 47–53°. There are a spread of W–O bond distances ranging from 2.04–2.13 Å. In the fifth W4+ site, W4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 37–55°. There are a spread of W–O bond distances ranging from 2.02–2.15 Å. In the sixth W4+ site, W4+ is bonded to six O2- atoms to form a mixture of corner and face-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 37–54°. There are a spread of W–O bond distances ranging from 2.02–2.19 Å. In the seventh W4+ site, W4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 48–51°. There are a spread of W–O bond distances ranging from 2.00–2.11 Å. In the eighth W4+ site, W4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 37–52°. There are a spread of W–O bond distances ranging from 2.05–2.17 Å. In the ninth W4+ site, W4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of W–O bond distances ranging from 2.03–2.13 Å. In the tenth W4+ site, W4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 50–55°. There are a spread of W–O bond distances ranging from 2.05–2.15 Å. In the eleventh W4+ site, W4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of W–O bond distances ranging from 2.03–2.12 Å. In the twelfth W4+ site, W4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 49–53°. There are a spread of W–O bond distances ranging from 1.98–2.21 Å. In the thirteenth W4+ site, W4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of W–O bond distances ranging from 1.98–2.21 Å. In the fourteenth W4+ site, W4+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of W–O bond distances ranging from 2.05–2.11 Å. In the fifteenth W4+ site, W4+ is bonded to six O2- atoms to form a mixture of distorted edge, corner, and face-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 52–53°. There are a spread of W–O bond distances ranging from 2.05–2.14 Å. In the sixteenth W4+ site, W4+ is bonded to six O2- atoms to form a mixture of corner and face-sharing WO6 octahedra. The corner-sharing octahedra tilt angles range from 40–54°. There are a spread of W–O bond distances ranging from 2.09–2.22 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a T-shaped geometry to three W4+ atoms. In the second O2- site, O2- is bonded in a water-like geometry to two W4+ atoms. In the third O2- site, O2- is bonded in a T-shaped geometry to three W4+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to three W4+ atoms. In the fifth O2- site, O2- is bonded in a trigonal pyramidal geometry to four W4+ atoms. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to three W4+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the ninth O2- site, O2- is bonded in a T-shaped geometry to three W4+ atoms. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to three W4+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three W4+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the fourteenth O2- site, O2- is bonded in a trigonal planar geometry to three W4+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the seventeenth O2- site, O2- is bonded in a trigonal planar geometry to three W4+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to three W4+ atoms. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the twenty-fourth O2- site, O2- is bonded in a water-like geometry to two W4+ atoms. In the twenty-fifth O2- site, O2- is bonded in a trigonal planar geometry to three W4+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the twenty-ninth O2- site, O2- is bonded in a trigonal pyramidal geometry to four W4+ atoms. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms. In the thirty-first O2- site, O2- is bonded in a trigonal planar geometry to three W4+ atoms. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to three W4+ atoms.

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