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Materials Data on LiMn2(PO4)2 by Materials Project

LiMn2(PO4)2 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with two MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 69–73°. There are a spread of Li–O bond distances ranging from 1.93–2.04 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids that share corners with two equivalent MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 67–71°. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. In the third 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 1.96–2.16 Å. There are six inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form distorted MnO6 pentagonal pyramids that share corners with six PO4 tetrahedra, an edgeedge with one LiO4 trigonal pyramid, and a faceface with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.05–2.42 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and a faceface with one MnO6 pentagonal pyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.22 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.13–2.62 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 trigonal pyramid, and a faceface with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.37 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Mn–O bond distances ranging from 2.24–2.73 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and a faceface with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.37 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and corners with two LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 34–48°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra, corners with two equivalent MnO6 pentagonal pyramids, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 28–49°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 35–58°. There are a spread of P–O bond distances ranging from 1.51–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 39–59°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and corners with two equivalent LiO4 trigonal pyramids. The corner-sharing octahedra tilt angles range from 27–53°. 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 corners with three MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 39–57°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.50+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Mn+2.50+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Mn+2.50+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, two equivalent Mn+2.50+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.50+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Mn+2.50+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.50+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.50+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, two equivalent Mn+2.50+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.50+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 1-coordinate geometry to two equivalent Mn+2.50+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, two equivalent Mn+2.50+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Pr3ErMn6(FeCo13)2 by Materials Project

ErPr3Mn6(FeCo13)2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. Er is bonded in a 10-coordinate geometry to three Mn, one Fe, and fifteen Co atoms. All Er–Mn bond lengths are 3.26 Å. The Er–Fe bond length is 3.04 Å. There are a spread of Er–Co bond distances ranging from 3.01–3.23 Å. There are three inequivalent Pr sites. In the first Pr site, Pr is bonded in a 10-coordinate geometry to three Mn, one Fe, and fifteen Co atoms. All Pr–Mn bond lengths are 3.30 Å. The Pr–Fe bond length is 3.09 Å. There are a spread of Pr–Co bond distances ranging from 3.04–3.25 Å. In the second Pr site, Pr is bonded in a 10-coordinate geometry to three Mn and sixteen Co atoms. There are two shorter (3.24 Å) and one longer (3.26 Å) Pr–Mn bond lengths. There are a spread of Pr–Co bond distances ranging from 3.03–3.21 Å. In the third Pr site, Pr is bonded in a 10-coordinate geometry to three Mn and sixteen Co atoms. There are one shorter (3.23 Å) and two longer (3.25 Å) Pr–Mn bond lengths. There are a spread of Pr–Co bond distances ranging from 3.05–3.20 Å. There are four inequivalent Mn sites. In the first Mn site, Mn is bonded in a 10-coordinate geometry to one Er, one Pr, one Fe, and nine Co atoms. The Mn–Fe bond length is 2.62 Å. There are a spread of Mn–Co bond distances ranging from 2.40–2.56 Å. In the second Mn site, Mn is bonded in a 12-coordinate geometry to two Pr, one Fe, and nine Co atoms. The Mn–Fe bond length is 2.65 Å. There are a spread of Mn–Co bond distances ranging from 2.41–2.58 Å. In the third Mn site, Mn is bonded in a 10-coordinate geometry to one Er, one Pr, one Fe, and nine Co atoms. The Mn–Fe bond length is 2.63 Å. There are a spread of Mn–Co bond distances ranging from 2.40–2.57 Å. In the fourth Mn site, Mn is bonded in a 10-coordinate geometry to two Pr, one Fe, and nine Co atoms. The Mn–Fe bond length is 2.64 Å. There are a spread of Mn–Co bond distances ranging from 2.41–2.56 Å. There are two inequivalent Fe sites. In the first Fe site, Fe is bonded in a 4-coordinate geometry to one Er, three Mn, and ten Co atoms. There are a spread of Fe–Co bond distances ranging from 2.33–2.69 Å. In the second Fe site, Fe is bonded in a 1-coordinate geometry to one Pr, three Mn, and ten Co atoms. There are a spread of Fe–Co bond distances ranging from 2.32–2.69 Å. There are sixteen inequivalent Co sites. In the first Co site, Co is bonded in a 2-coordinate geometry to one Er, one Pr, two equivalent Mn, one Fe, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.40–2.69 Å. In the second Co site, Co is bonded in a 2-coordinate geometry to two Pr, two equivalent Mn, one Fe, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.41–2.67 Å. In the third Co site, Co is bonded in a 2-coordinate geometry to one Er, one Pr, two Mn, one Fe, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.40–2.69 Å. In the fourth Co site, Co is bonded in a 2-coordinate geometry to two Pr, two Mn, one Fe, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.40–2.67 Å. In the fifth Co site, Co is bonded in a 2-coordinate geometry to one Er, one Pr, two Mn, one Fe, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.43–2.68 Å. In the sixth Co site, Co is bonded in a 2-coordinate geometry to two Pr, two Mn, one Fe, and seven Co atoms. There are a spread of Co–Co bond distances ranging from 2.40–2.68 Å. In the seventh Co site, Co is bonded to one Er, two Pr, two equivalent Mn, and seven Co atoms to form distorted CoPr2ErMn2Co7 cuboctahedra that share corners with ten CoPr3Mn2Co7 cuboctahedra, edges with five CoPr2ErMn2Co7 cuboctahedra, and faces with seven CoPr2ErMn2Co7 cuboctahedra. There are two shorter (2.44 Å) and one longer (2.67 Å) Co–Co bond lengths. In the eighth Co site, Co is bonded to three Pr, two equivalent Mn, and seven Co atoms to form a mixture of distorted edge, face, and corner-sharing CoPr3Mn2Co7 cuboctahedra. There are two shorter (2.45 Å) and one longer (2.67 Å) Co–Co bond lengths. In the ninth Co site, Co is bonded to one Er, two equivalent Pr, two Mn, and seven Co atoms to form a mixture of distorted edge, face, and corner-sharing CoPr2ErMn2Co7 cuboctahedra. There are two shorter (2.43 Å) and one longer (2.68 Å) Co–Co bond lengths. In the tenth Co site, Co is bonded to three Pr, two Mn, and seven Co atoms to form distorted CoPr3Mn2Co7 cuboctahedra that share corners with ten CoPr3Mn2Co7 cuboctahedra, edges with five CoPr2ErMn2Co7 cuboctahedra, and faces with seven CoPr2ErMn2Co7 cuboctahedra. There are two shorter (2.45 Å) and one longer (2.66 Å) Co–Co bond lengths. In the eleventh Co site, Co is bonded to one Er, two Pr, two equivalent Mn, one Fe, and six Co atoms to form distorted CoPr2ErMn2FeCo6 cuboctahedra that share corners with ten CoPr3Mn2Co7 cuboctahedra, edges with five CoPr2ErMn2Co7 cuboctahedra, and faces with seven CoPr3Mn2Co7 cuboctahedra. In the twelfth Co site, Co is bonded to one Er, two Pr, two equivalent Mn, one Fe, and six Co atoms to form distorted CoPr2ErMn2FeCo6 cuboctahedra that share corners with ten CoPr2ErMn2Co7 cuboctahedra, edges with five CoPr3Mn2Co7 cuboctahedra, and faces with seven CoPr2ErMn2Co7 cuboctahedra. In the thirteenth Co site, Co is bonded to two equivalent Er, one Pr, two Mn, one Fe, and six Co atoms to form a mixture of distorted edge, face, and corner-sharing CoPrEr2Mn2FeCo6 cuboctahedra. In the fourteenth Co site, Co is bonded to three Pr, two Mn, one Fe, and six Co atoms to form distorted CoPr3Mn2FeCo6 cuboctahedra that share corners with ten CoPr2ErMn2Co7 cuboctahedra, edges with five CoPr3Mn2Co7 cuboctahedra, and faces with seven CoPr3Mn2Co7 cuboctahedra. In the fifteenth Co site, Co is bonded in a 4-coordinate geometry to one Pr, three Mn, one Fe, and nine Co atoms. In the sixteenth Co site, Co is bonded in a 4-coordinate geometry to one Pr, three Mn, one Fe, and nine Co atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(PO4)2 by Materials Project

LiMn2(PO4)2 crystallizes in the triclinic P-1 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 six O2- atoms. There are a spread of Li–O bond distances ranging from 2.21–2.71 Å. In the second Li1+ site, Li1+ is bonded in a 4-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.21–2.93 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 2.14–2.70 Å. In the fourth Li1+ site, Li1+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Li–O bond distances ranging from 2.20–2.65 Å. There are six inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.18 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.28 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.19 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.19–2.33 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.16–2.34 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.05–2.25 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of P–O bond distances ranging from 1.54–1.57 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 36–62°. There are a spread of P–O bond distances ranging from 1.54–1.58 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–61°. There are a spread of P–O bond distances ranging from 1.55–1.57 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of P–O bond distances ranging from 1.54–1.59 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one P5+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Mn+2.50+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, two Mn+2.50+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.50+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.50+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, one Mn+2.50+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, two Mn+2.50+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Mn+2.50+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 1-coordinate geometry to two Li1+, one Mn+2.50+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Mn+2.50+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Mn+2.50+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Li1+, one Mn+2.50+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.50+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn3(PO4)3 by Materials Project

LiMn3(PO4)3 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are two inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Li–O bond distances ranging from 2.31–2.81 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 2.15–2.61 Å. There are six inequivalent Mn+2.67+ sites. In the first Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.31 Å. In the second Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.34 Å. In the third Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.09–2.45 Å. In the fourth Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.13–2.44 Å. In the fifth Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.30 Å. In the sixth Mn+2.67+ site, Mn+2.67+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.28 Å. There are six inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 41–60°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–64°. 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 six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–64°. There is one shorter (1.55 Å) and three longer (1.56 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 38–66°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 40–63°. There are a spread of P–O bond distances ranging from 1.52–1.59 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.67+, and one P5+ atom. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.67+, and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.67+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, two Mn+2.67+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.67+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.67+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+2.67+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+2.67+, and one P5+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.67+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.67+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.67+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.67+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.67+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+, two Mn+2.67+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn+2.67+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn+2.67+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn+2.67+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn+2.67+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.67+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.67+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Mn+2.67+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.67+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.67+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.67+, and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ca2HoMn3O9 by Materials Project

Ca2HoMn3O9 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are four inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.72 Å. In the second Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.33–2.73 Å. In the third Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.32–2.73 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.31–2.70 Å. There are two inequivalent Ho3+ sites. In the first Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.27–2.63 Å. In the second Ho3+ site, Ho3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ho–O bond distances ranging from 2.27–2.62 Å. There are eight inequivalent Mn+3.67+ sites. In the first Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–29°. There are a spread of Mn–O bond distances ranging from 1.96–1.98 Å. In the second Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–32°. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the third Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–31°. There is two shorter (1.95 Å) and four longer (1.98 Å) Mn–O bond length. In the fourth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–31°. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. In the fifth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–32°. There are a spread of Mn–O bond distances ranging from 1.96–1.98 Å. In the sixth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–32°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the seventh Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–32°. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. In the eighth Mn+3.67+ site, Mn+3.67+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–31°. There is two shorter (1.95 Å) and four longer (1.98 Å) Mn–O bond length. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Ho3+, and two Mn+3.67+ atoms. In the second O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Ho3+, and two Mn+3.67+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two equivalent Ho3+, and two Mn+3.67+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two equivalent Ho3+, and two Mn+3.67+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Ho3+, and two Mn+3.67+ atoms. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Ho3+, and two Mn+3.67+ atoms. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ca2+, one Ho3+, and two Mn+3.67+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Mn+3.67+ atoms. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Ho3+, and two Mn+3.67+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Mn+3.67+ atoms. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Ho3+, and two Mn+3.67+ atoms. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ca2+, one Ho3+, and two Mn+3.67+ atoms. In the thirteenth O2- site, O2- is bonded to one Ca2+, one Ho3+, and two Mn+3.67+ atoms to form distorted corner-sharing OCaHoMn2 tetrahedra. In the fourteenth O2- site, O2- is bonded to two Ca2+ and two Mn+3.67+ atoms to form distorted corner-sharing OCa2Mn2 tetrahedra. In the fifteenth O2- site, O2- is bonded to one Ca2+, one Ho3+, and two Mn+3.67+ atoms to form distorted corner-sharing OCaHoMn2 tetrahedra. In the sixteenth O2- site, O2- is bonded to two Ca2+ and two Mn+3.67+ atoms to form distorted corner-sharing OCa2Mn2 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Ca2+, one Ho3+, and two Mn+3.67+ atoms to form distorted corner-sharing OCaHoMn2 tetrahedra. In the eighteenth O2- site, O2- is bonded to one Ca2+, one Ho3+, and two Mn+3.67+ atoms to form distorted corner-sharing OCaHoMn2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(P2O7)4 by Materials Project

Li3Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.83–1.95 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There is one shorter (1.84 Å) and three longer (1.94 Å) Li–O bond length. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.85–1.95 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.83–1.96 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 1.81–2.62 Å. In the sixth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 square pyramids that share a cornercorner with one MnO6 octahedra, corners with three PO4 tetrahedra, a cornercorner with one MnO5 trigonal bipyramid, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 55°. There are a spread of Li–O bond distances ranging from 1.89–2.22 Å. There are eight inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ 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 1.96–2.57 Å. In the second Mn+3.25+ site, Mn+3.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.93–2.35 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.95–2.32 Å. In the fourth Mn+3.25+ site, Mn+3.25+ 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 1.95–2.48 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 LiO5 square pyramid, corners with six PO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.93–2.30 Å. In the sixth Mn+3.25+ site, Mn+3.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO5 square pyramid, a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.22 Å. In the seventh Mn+3.25+ site, Mn+3.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.92–2.34 Å. In the eighth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.94–2.54 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 LiO5 square pyramid, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 59°. 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 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 30°. There are a spread of P–O bond distances ranging from 1.49–1.61 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 PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of P–O bond distances ranging from 1.51–1.59 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 LiO5 square pyramid, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 21–52°. There are a spread of P–O bond distances ranging from 1.51–1.63 Å. In the fifth 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 25–47°. There are a spread of P–O bond distances ranging from 1.53–1.62 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 1.51–1.60 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 63°. There are a spread of P–O bond distances ranging from 1.51–1.60 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 PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 31°. There are a spread of P–O bond distances ranging from 1.49–1.62 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 1.49–1.61 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of P–O bond distances ranging from 1.52–1.59 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, a cornercorner with one PO4 tetrahedra, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one LiO5 square pyramid. The corner-sharing octahedra tilt angles range from 24–51°. There are a spread of P–O bond distances ranging from 1.50–1.62 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 27–48°. 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 LiO5 square pyramid, 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 53°. There are a spread of P–O bond distances ranging from 1.50–1.59 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 PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 29°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the sixteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 62°. There are a spread of P–O bond distances ranging from 1.48–1.61 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 Mn+3.25+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+3.25+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+3.25+ 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 Mn+3.25+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Li1+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Mn+3.25+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a water-like geometry to one Mn+3.25+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a water-like geometry to one Mn+3.25+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Mn+3.25+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.25+ 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 twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+3.25+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a single-bond geometry to one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+3.

36 MATERIALS SCIENCE↗

Materials Data on Mn6GaGe by Materials Project

Mn6GaGe is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are six inequivalent Mn sites. In the first Mn site, Mn is bonded to eight Mn, two equivalent Ga, and two equivalent Ge atoms to form distorted MnMn8Ga2Ge2 cuboctahedra that share corners with four equivalent GeMn12 cuboctahedra, corners with fourteen MnMn8Ga2Ge2 cuboctahedra, edges with two equivalent GeMn12 cuboctahedra, edges with four equivalent GaMn12 cuboctahedra, edges with twelve MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, and faces with sixteen MnMn8Ga2Ge2 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.50–2.67 Å. Both Mn–Ga bond lengths are 2.59 Å. There are one shorter (2.58 Å) and one longer (2.59 Å) Mn–Ge bond lengths. In the second Mn site, Mn is bonded to eight Mn, two equivalent Ga, and two equivalent Ge atoms to form distorted MnMn8Ga2Ge2 cuboctahedra that share corners with four equivalent GeMn12 cuboctahedra, corners with fourteen MnMn8Ga2Ge2 cuboctahedra, edges with two equivalent GeMn12 cuboctahedra, edges with four equivalent GaMn12 cuboctahedra, edges with twelve MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, and faces with sixteen MnMn8Ga2Ge2 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.50–2.67 Å. Both Mn–Ga bond lengths are 2.60 Å. Both Mn–Ge bond lengths are 2.59 Å. In the third Mn site, Mn is bonded to eight Mn, two equivalent Ga, and two equivalent Ge atoms to form distorted MnMn8Ga2Ge2 cuboctahedra that share corners with four equivalent GeMn12 cuboctahedra, corners with fourteen MnMn8Ga2Ge2 cuboctahedra, edges with two equivalent GeMn12 cuboctahedra, edges with four equivalent GaMn12 cuboctahedra, edges with twelve MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, and faces with sixteen MnMn8Ga2Ge2 cuboctahedra. There are two shorter (2.53 Å) and two longer (2.54 Å) Mn–Mn bond lengths. Both Mn–Ga bond lengths are 2.59 Å. There are one shorter (2.58 Å) and one longer (2.59 Å) Mn–Ge bond lengths. In the fourth Mn site, Mn is bonded to eight Mn, two equivalent Ga, and two equivalent Ge atoms to form distorted MnMn8Ga2Ge2 cuboctahedra that share corners with four equivalent GaMn12 cuboctahedra, corners with fourteen MnMn8Ga2Ge2 cuboctahedra, edges with two equivalent GaMn12 cuboctahedra, edges with four equivalent GeMn12 cuboctahedra, edges with twelve MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, and faces with sixteen MnMn8Ga2Ge2 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.47–2.70 Å. There are one shorter (2.58 Å) and one longer (2.59 Å) Mn–Ga bond lengths. Both Mn–Ge bond lengths are 2.60 Å. In the fifth Mn site, Mn is bonded to eight Mn, two equivalent Ga, and two equivalent Ge atoms to form distorted MnMn8Ga2Ge2 cuboctahedra that share corners with four equivalent GaMn12 cuboctahedra, corners with fourteen MnMn8Ga2Ge2 cuboctahedra, edges with two equivalent GaMn12 cuboctahedra, edges with four equivalent GeMn12 cuboctahedra, edges with twelve MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, and faces with sixteen MnMn8Ga2Ge2 cuboctahedra. There are one shorter (2.47 Å) and one longer (2.70 Å) Mn–Mn bond lengths. Both Mn–Ga bond lengths are 2.59 Å. Both Mn–Ge bond lengths are 2.61 Å. In the sixth Mn site, Mn is bonded to eight Mn, two equivalent Ga, and two equivalent Ge atoms to form distorted MnMn8Ga2Ge2 cuboctahedra that share corners with four equivalent GaMn12 cuboctahedra, corners with fourteen MnMn8Ga2Ge2 cuboctahedra, edges with two equivalent GaMn12 cuboctahedra, edges with four equivalent GeMn12 cuboctahedra, edges with twelve MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, and faces with sixteen MnMn8Ga2Ge2 cuboctahedra. There are one shorter (2.58 Å) and one longer (2.59 Å) Mn–Ga bond lengths. Both Mn–Ge bond lengths are 2.60 Å. Ga is bonded to twelve Mn atoms to form GaMn12 cuboctahedra that share corners with six equivalent GaMn12 cuboctahedra, corners with twelve MnMn8Ga2Ge2 cuboctahedra, edges with eighteen MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GaMn12 cuboctahedra, faces with six equivalent GeMn12 cuboctahedra, and faces with twelve MnMn8Ga2Ge2 cuboctahedra. Ge is bonded to twelve Mn atoms to form GeMn12 cuboctahedra that share corners with six equivalent GeMn12 cuboctahedra, corners with twelve MnMn8Ga2Ge2 cuboctahedra, edges with eighteen MnMn8Ga2Ge2 cuboctahedra, faces with two equivalent GeMn12 cuboctahedra, faces with six equivalent GaMn12 cuboctahedra, and faces with twelve MnMn8Ga2Ge2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(P2O7)4 by Materials Project

Li3Mn4(P2O7)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.91–2.49 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. There are a spread of Li–O bond distances ranging from 1.87–2.10 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.84–2.15 Å. In the fourth 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 68°. There are a spread of Li–O bond distances ranging from 1.88–2.04 Å. In the fifth 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 56°. There are a spread of Li–O bond distances ranging from 1.83–2.19 Å. In the sixth 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 1.89–2.32 Å. There are eight inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra, an edgeedge with one MnO6 pentagonal pyramid, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.31 Å. In the second Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form distorted MnO6 pentagonal pyramids that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.40 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.95–2.54 Å. In the fourth Mn+3.25+ site, Mn+3.25+ 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 1.90–2.33 Å. In the fifth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.31 Å. In the sixth Mn+3.25+ site, Mn+3.25+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.94–2.62 Å. In the seventh Mn+3.25+ site, Mn+3.25+ 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 1.96–2.54 Å. In the eighth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form distorted 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 1.97–2.48 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 MnO6 pentagonal pyramid, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 57°. 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 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 36°. There are a spread of P–O bond distances ranging from 1.50–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 52–54°. There are a spread of P–O bond distances ranging from 1.52–1.59 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 26–54°. There are a spread of P–O bond distances ranging from 1.51–1.64 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 31–45°. There are a spread of P–O bond distances ranging from 1.50–1.62 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 LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MnO6 pentagonal pyramid. The corner-sharing octahedral tilt angles are 52°. There are a spread of P–O bond distances ranging from 1.53–1.60 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 MnO6 pentagonal pyramid, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedral tilt angles are 55°. There are a spread of P–O bond distances ranging from 1.48–1.60 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 MnO6 pentagonal pyramid, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 39°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the ninth 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 35–56°. There are a spread of P–O bond distances ranging from 1.49–1.60 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 57–61°. There are a spread of P–O bond distances ranging from 1.48–1.62 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, 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 49°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 25–50°. There are a spread of P–O bond distances ranging from 1.52–1.63 Å. In the thirteenth 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 32–45°. There are a spread of P–O bond distances ranging from 1.52–1.61 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 MnO6 pentagonal pyramid, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of P–O bond distances ranging from 1.50–1.60 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 and a cornercorner with one PO4 tetrahedra. 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 sixteenth 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 50–60°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+3.25+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+3.25+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.25+, 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 distorted bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Mn+3.25+, and one P5+ atom to form distorted edge-sharing OLi2MnP tetrahedra. In the eighth O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and 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 3-coordinate geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the eleventh O2- site, O2- is bonded to one Li1+, two Mn+3.25+, and one P5+ atom to form distorted edge-sharing OLiMn2P tetrahedra. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a water-like geometry to one Mn+3.25+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+3.25+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a water-like geometry to one Mn+3.25+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+3.25+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+, one Mn+3.25+, 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 bent 120 degrees geometry to one Mn+3.25+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.25+, and one P5+ atom. In the twenty-

36 MATERIALS SCIENCE↗

Materials Data on Mn6OF11 by Materials Project

Mn6OF11 crystallizes in the orthorhombic Cmm2 space group. The structure is three-dimensional. there are nine inequivalent Mn+2.17+ sites. In the first Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.18–2.37 Å. In the second Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to two equivalent O2- and six F1- atoms. Both Mn–O bond lengths are 2.20 Å. There are a spread of Mn–F bond distances ranging from 2.21–2.34 Å. In the third Mn+2.17+ site, Mn+2.17+ is bonded in a 8-coordinate geometry to six F1- atoms. There are a spread of Mn–F bond distances ranging from 2.08–2.30 Å. In the fourth Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.23–2.34 Å. In the fifth Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.22–2.36 Å. In the sixth Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.25–2.32 Å. In the seventh Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.14–2.42 Å. In the eighth Mn+2.17+ site, Mn+2.17+ is bonded in a body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.17–2.38 Å. In the ninth Mn+2.17+ site, Mn+2.17+ is bonded in a distorted body-centered cubic geometry to two equivalent O2- and six F1- atoms. Both Mn–O bond lengths are 1.88 Å. There are a spread of Mn–F bond distances ranging from 2.17–2.52 Å. O2- is bonded in a 3-coordinate geometry to three Mn+2.17+ atoms. There are eleven inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to four Mn+2.17+ atoms. In the second F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of distorted corner and edge-sharing FMn4 tetrahedra. In the third F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the fourth F1- site, F1- is bonded in a 4-coordinate geometry to four Mn+2.17+ atoms. In the fifth F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the sixth F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the seventh F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the eighth F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the ninth F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the tenth F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra. In the eleventh F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of corner and edge-sharing FMn4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mn8Sn5 by Materials Project

Mn8Sn5 crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are six inequivalent Mn sites. In the first Mn site, Mn is bonded to six Mn and five Sn atoms to form distorted MnMn6Sn5 trigonal bipyramids that share corners with four MnMn6Sn6 cuboctahedra, corners with six MnMn6Sn5 trigonal bipyramids, edges with two equivalent MnMn6Sn6 cuboctahedra, faces with two equivalent MnMn6Sn6 cuboctahedra, and faces with five MnMn6Sn5 trigonal bipyramids. There are a spread of Mn–Mn bond distances ranging from 2.78–2.81 Å. There are a spread of Mn–Sn bond distances ranging from 2.62–2.73 Å. In the second Mn site, Mn is bonded in a 11-coordinate geometry to five Mn and six Sn atoms. There are a spread of Mn–Mn bond distances ranging from 2.66–2.81 Å. There are a spread of Mn–Sn bond distances ranging from 2.69–2.97 Å. In the third Mn site, Mn is bonded to six Mn and five Sn atoms to form distorted MnMn6Sn5 trigonal bipyramids that share corners with four equivalent MnMn6Sn6 cuboctahedra, corners with six MnMn6Sn5 trigonal bipyramids, edges with four MnMn6Sn6 cuboctahedra, faces with four MnMn6Sn6 cuboctahedra, and faces with six MnMn6Sn5 trigonal bipyramids. There are two shorter (2.76 Å) and two longer (2.86 Å) Mn–Mn bond lengths. There are a spread of Mn–Sn bond distances ranging from 2.64–2.74 Å. In the fourth Mn site, Mn is bonded to six Mn and six Sn atoms to form distorted MnMn6Sn6 cuboctahedra that share corners with four MnMn6Sn6 cuboctahedra, corners with four MnMn6Sn5 trigonal bipyramids, edges with six equivalent MnMn6Sn6 cuboctahedra, edges with four MnMn6Sn5 trigonal bipyramids, faces with six MnMn6Sn6 cuboctahedra, and faces with four MnMn6Sn5 trigonal bipyramids. There are two shorter (2.73 Å) and two longer (2.86 Å) Mn–Mn bond lengths. There are a spread of Mn–Sn bond distances ranging from 2.72–3.15 Å. In the fifth Mn site, Mn is bonded to six Mn and five Sn atoms to form distorted MnMn6Sn5 trigonal bipyramids that share corners with two equivalent MnMn6Sn6 cuboctahedra, corners with six MnMn6Sn5 trigonal bipyramids, edges with six MnMn6Sn6 cuboctahedra, faces with six MnMn6Sn6 cuboctahedra, and faces with seven MnMn6Sn5 trigonal bipyramids. There are two shorter (2.78 Å) and two longer (2.83 Å) Mn–Mn bond lengths. There are a spread of Mn–Sn bond distances ranging from 2.63–2.74 Å. In the sixth Mn site, Mn is bonded to six Mn and six Sn atoms to form distorted MnMn6Sn6 cuboctahedra that share corners with three MnMn6Sn6 cuboctahedra, corners with three MnMn6Sn5 trigonal bipyramids, edges with five MnMn6Sn6 cuboctahedra, edges with four MnMn6Sn5 trigonal bipyramids, faces with five MnMn6Sn6 cuboctahedra, and faces with four MnMn6Sn5 trigonal bipyramids. Both Mn–Mn bond lengths are 2.73 Å. There are a spread of Mn–Sn bond distances ranging from 2.79–2.97 Å. There are five inequivalent Sn sites. In the first Sn site, Sn is bonded in a 10-coordinate geometry to ten Mn atoms. In the second Sn site, Sn is bonded in a 9-coordinate geometry to nine Mn atoms. In the third Sn site, Sn is bonded in a 2-coordinate geometry to eight Mn atoms. In the fourth Sn site, Sn is bonded in a 8-coordinate geometry to eight Mn atoms. In the fifth Sn site, Sn is bonded in a 10-coordinate geometry to ten Mn atoms.

36 MATERIALS SCIENCE↗

Materials Data on CaMn8O16 by Materials Project

CaMn8O16 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. Ca2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ca–O bond distances ranging from 2.39–2.69 Å. There are eight inequivalent Mn+3.75+ sites. In the first Mn+3.75+ site, Mn+3.75+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–O bond distances ranging from 1.89–2.08 Å. In the second Mn+3.75+ site, Mn+3.75+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.91–2.00 Å. In the third Mn+3.75+ site, Mn+3.75+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. In the fourth Mn+3.75+ site, Mn+3.75+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–O bond distances ranging from 1.90–2.00 Å. In the fifth Mn+3.75+ site, Mn+3.75+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.90–1.97 Å. In the sixth Mn+3.75+ site, Mn+3.75+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.90–2.12 Å. In the seventh Mn+3.75+ site, Mn+3.75+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–52°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the eighth Mn+3.75+ site, Mn+3.75+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and three Mn+3.75+ atoms. In the second O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.75+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.75+ atoms. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.75+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.75+ atoms. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.75+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.75+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.75+ atoms. In the ninth O2- site, O2- is bonded to one Ca2+ and three Mn+3.75+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.75+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.75+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.75+ atoms. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.75+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.75+ atoms. In the fifteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.75+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.75+ atoms to form a mixture of distorted corner and edge-sharing OCaMn3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on CaMn4O8 by Materials Project

CaMn4O8 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are two inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.51 Å. In the second Ca2+ site, Ca2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ca–O bond distances ranging from 2.28–2.51 Å. There are eight inequivalent Mn+3.50+ sites. In the first Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–54°. There are a spread of Mn–O bond distances ranging from 1.91–2.02 Å. In the second Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Mn–O bond distances ranging from 1.90–2.17 Å. In the third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. There are a spread of Mn–O bond distances ranging from 1.91–2.03 Å. In the fourth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Mn–O bond distances ranging from 1.91–2.16 Å. In the fifth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–55°. There are a spread of Mn–O bond distances ranging from 1.90–2.17 Å. In the sixth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 48–54°. There are a spread of Mn–O bond distances ranging from 1.91–2.02 Å. In the seventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–54°. There are a spread of Mn–O bond distances ranging from 1.91–2.16 Å. In the eighth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–55°. There are a spread of Mn–O bond distances ranging from 1.91–2.03 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.50+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+ and three Mn+3.50+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.50+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+ and three Mn+3.50+ atoms. In the ninth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids. In the tenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of edge and corner-sharing OCaMn3 trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of edge and corner-sharing OCaMn3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Ca2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Mn8HO16 by Materials Project

Mn8HO16 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are eight inequivalent Mn+3.88+ sites. In the first Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Mn–O bond distances ranging from 1.90–1.98 Å. In the second Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the third Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.93–1.96 Å. In the fourth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–52°. There are a spread of Mn–O bond distances ranging from 1.89–2.02 Å. In the fifth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–53°. There are a spread of Mn–O bond distances ranging from 1.93–2.16 Å. In the sixth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 47–51°. There are a spread of Mn–O bond distances ranging from 1.87–2.03 Å. In the seventh Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the eighth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–52°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. H1+ is bonded in a single-bond geometry to one O2- atom. The H–O bond length is 0.98 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the second O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.88+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.88+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.88+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn+3.88+ and one H1+ atom.

36 MATERIALS SCIENCE↗

Materials Data on NaMn8O16 by Materials Project

NaMn8O16 crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are two inequivalent Na1+ sites. In the first Na1+ site, Na1+ is bonded in a square co-planar geometry to four O2- atoms. There are two shorter (2.52 Å) and two longer (2.53 Å) Na–O bond lengths. In the second Na1+ site, Na1+ is bonded in a square co-planar geometry to four O2- atoms. All Na–O bond lengths are 2.52 Å. There are eight inequivalent Mn+3.88+ sites. In the first Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. In the second Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the third Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. In the fourth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the fifth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the sixth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. In the seventh Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the eighth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.99 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the ninth O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the twelfth O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the fourteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the sixteenth O2- site, O2- is bonded to one Na1+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing ONaMn3 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Ca3Mn4O8 by Materials Project

Ca3Mn4O8 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. there are six inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with four CaO6 octahedra, corners with five MnO5 square pyramids, a cornercorner with one MnO5 trigonal bipyramid, edges with two equivalent CaO6 octahedra, an edgeedge with one MnO5 square pyramid, edges with two MnO5 trigonal bipyramids, and a faceface with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 40–64°. There are a spread of Ca–O bond distances ranging from 2.26–2.52 Å. In the second Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with four CaO6 octahedra, corners with six MnO5 square pyramids, edges with two equivalent CaO6 octahedra, edges with three MnO5 square pyramids, and a faceface with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 39–61°. There are a spread of Ca–O bond distances ranging from 2.24–2.49 Å. In the third Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with four CaO6 octahedra, corners with three MnO5 square pyramids, corners with three MnO5 trigonal bipyramids, edges with two equivalent CaO6 octahedra, edges with two MnO5 square pyramids, an edgeedge with one MnO5 trigonal bipyramid, and a faceface with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 46–56°. There are a spread of Ca–O bond distances ranging from 2.22–2.51 Å. In the fourth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with four CaO6 octahedra, corners with four MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, edges with two equivalent CaO6 octahedra, edges with three MnO5 square pyramids, and a faceface with one MnO5 square pyramid. The corner-sharing octahedra tilt angles range from 32–67°. There are a spread of Ca–O bond distances ranging from 2.27–2.48 Å. In the fifth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with eight CaO6 octahedra, corners with five MnO5 square pyramids, a cornercorner with one MnO5 trigonal bipyramid, edges with two MnO5 square pyramids, and edges with two MnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 32–64°. There are a spread of Ca–O bond distances ranging from 2.29–2.60 Å. In the sixth Ca2+ site, Ca2+ is bonded to six O2- atoms to form distorted CaO6 octahedra that share corners with eight CaO6 octahedra, corners with four MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, and edges with four MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 40–67°. There are a spread of Ca–O bond distances ranging from 2.34–2.60 Å. There are eight inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with five CaO6 octahedra, corners with two MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, edges with two CaO6 octahedra, edges with two equivalent MnO5 square pyramids, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 35–83°. There are a spread of Mn–O bond distances ranging from 1.95–2.23 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five CaO6 octahedra, corners with four MnO5 square pyramids, edges with two CaO6 octahedra, edges with two equivalent MnO5 square pyramids, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 31–79°. There are a spread of Mn–O bond distances ranging from 2.09–2.37 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with five CaO6 octahedra, corners with two MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, edges with two CaO6 octahedra, edges with two equivalent MnO5 square pyramids, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 27–78°. There are a spread of Mn–O bond distances ranging from 2.07–2.35 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with five CaO6 octahedra, corners with four MnO5 square pyramids, edges with two CaO6 octahedra, edges with two equivalent MnO5 trigonal bipyramids, and a faceface with one CaO6 octahedra. The corner-sharing octahedra tilt angles range from 38–82°. There are a spread of Mn–O bond distances ranging from 1.95–2.24 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with four CaO6 octahedra, corners with four MnO5 square pyramids, edges with three CaO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 56–79°. There are a spread of Mn–O bond distances ranging from 1.98–2.49 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with four CaO6 octahedra, corners with three MnO5 square pyramids, a cornercorner with one MnO5 trigonal bipyramid, edges with three CaO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 43–72°. There are a spread of Mn–O bond distances ranging from 1.94–2.39 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with four CaO6 octahedra, corners with three MnO5 square pyramids, a cornercorner with one MnO5 trigonal bipyramid, edges with three CaO6 octahedra, and edges with two equivalent MnO5 trigonal bipyramids. The corner-sharing octahedra tilt angles range from 50–74°. There are a spread of Mn–O bond distances ranging from 2.07–2.33 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with four CaO6 octahedra, corners with two equivalent MnO5 square pyramids, corners with two equivalent MnO5 trigonal bipyramids, edges with three CaO6 octahedra, and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 64–77°. There are a spread of Mn–O bond distances ranging from 2.11–2.27 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with three OCa3Mn2 trigonal bipyramids, corners with four OCa2Mn2 trigonal pyramids, and edges with four OCa3Mn2 trigonal bipyramids. In the second O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Mn+2.50+ atoms. In the third O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Mn+2.50+ atoms. In the fourth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with six OCa3Mn2 trigonal bipyramids, corners with four OCa2Mn2 trigonal pyramids, and edges with two OCa3Mn2 trigonal bipyramids. In the fifth O2- site, O2- is bonded to two Ca2+ and two Mn+2.50+ atoms to form OCa2Mn2 trigonal pyramids that share corners with eight OCa3Mn2 trigonal bipyramids, a cornercorner with one OCa2Mn2 trigonal pyramid, edges with two OCa2Mn3 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the sixth O2- site, O2- is bonded to two Ca2+ and two Mn+2.50+ atoms to form OCa2Mn2 trigonal pyramids that share corners with seven OCa3Mn2 trigonal bipyramids, a cornercorner with one OCa2Mn2 trigonal pyramid, an edgeedge with one OCa2Mn3 trigonal bipyramid, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the seventh O2- site, O2- is bonded to two Ca2+ and two Mn+2.50+ atoms to form OCa2Mn2 trigonal pyramids that share corners with eight OCa3Mn2 trigonal bipyramids, a cornercorner with one OCa2Mn2 trigonal pyramid, edges with two OCa2Mn3 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the eighth O2- site, O2- is bonded to two Ca2+ and two Mn+2.50+ atoms to form distorted OCa2Mn2 trigonal pyramids that share corners with eight OCa3Mn2 trigonal bipyramids, a cornercorner with one OCa2Mn2 trigonal pyramid, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+ and three Mn+2.50+ atoms. In the tenth O2- site, O2- is bonded to three Ca2+ and two Mn+2.50+ atoms to form distorted OCa3Mn2 trigonal bipyramids that share corners with four OCa2Mn3 trigonal bipyramids, corners with four OCa2Mn2 trigonal pyramids, and edges with five OCa2Mn3 trigonal bipyramids. In the eleventh O2- site, O2- is bonded to three Ca2+ and two Mn+2.50+ atoms to form distorted OCa3Mn2 trigonal bipyramids that share corners with three OCa2Mn3 trigonal bipyramids, corners with four OCa2Mn2 trigonal pyramids, and edges with two OCa2Mn3 trigonal bipyramids. In the twelfth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with four OCa2Mn3 trigonal bipyramids, edges with five OCa3Mn2 trigonal bipyramids, and edges with two OCa2Mn2 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with two OCa3Mn2 trigonal bipyramids, corners with five OCa2Mn2 trigonal pyramids, edges with two OCa3Mn2 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the fourteenth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with four OCa3Mn2 trigonal bipyramids, corners with five OCa2Mn2 trigonal pyramids, edges with four OCa3Mn2 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+ and three Mn+2.50+ atoms. In the sixteenth O2- site, O2- is bonded to two Ca2+ and three Mn+2.50+ atoms to form distorted OCa2Mn3 trigonal bipyramids that share corners with four OCa3Mn2 trigonal bipyramids, corners with five OCa2Mn2 trigonal pyramids, edges with four OCa3Mn2 trigonal bipyramids, and an edgeedge with one OCa2Mn2 trigonal pyramid.

36 MATERIALS SCIENCE↗

Materials Data on NaMn2O4 by Materials Project

NaMn2O4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four 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 2.43–2.54 Å. In the second 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 2.40–2.57 Å. In the third 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 2.40–2.56 Å. In the fourth 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 2.43–2.55 Å. There are eight inequivalent Mn+3.50+ sites. In the first Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.07 Å. In the second Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.08 Å. In the third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.11 Å. In the fourth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.10 Å. In the fifth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There is four shorter (1.95 Å) and two longer (1.96 Å) Mn–O bond length. In the sixth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.13 Å. In the seventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.96 Å. In the eighth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.09 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to two Na1+ and three Mn+3.50+ atoms to form distorted ONa2Mn3 trigonal bipyramids that share corners with five ONa2Mn3 trigonal bipyramids, corners with four ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and edges with four ONaMn3 trigonal pyramids. In the second O2- site, O2- is bonded to two Na1+ and three Mn+3.50+ atoms to form distorted ONa2Mn3 trigonal bipyramids that share corners with five ONa2Mn3 trigonal bipyramids, corners with four ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and edges with four ONaMn3 trigonal pyramids. In the third O2- site, O2- is bonded to two Na1+ and three Mn+3.50+ atoms to form distorted ONa2Mn3 trigonal bipyramids that share corners with five ONa2Mn3 trigonal bipyramids, corners with four ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and edges with four ONaMn3 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Na1+ and three Mn+3.50+ atoms to form distorted ONa2Mn3 trigonal bipyramids that share corners with five ONa2Mn3 trigonal bipyramids, corners with four ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and edges with four ONaMn3 trigonal pyramids. In the fifth O2- site, O2- is bonded to one Na1+ and three Mn+3.50+ atoms to form distorted ONaMn3 trigonal pyramids that share corners with four ONa2Mn3 trigonal bipyramids, corners with six ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and an edgeedge with one ONaMn3 trigonal pyramid. In the sixth O2- site, O2- is bonded to one Na1+ and three Mn+3.50+ atoms to form distorted ONaMn3 trigonal pyramids that share corners with four ONa2Mn3 trigonal bipyramids, corners with six ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and an edgeedge with one ONaMn3 trigonal pyramid. In the seventh O2- site, O2- is bonded to one Na1+ and three Mn+3.50+ atoms to form distorted ONaMn3 trigonal pyramids that share corners with four ONa2Mn3 trigonal bipyramids, corners with six ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and an edgeedge with one ONaMn3 trigonal pyramid. In the eighth O2- site, O2- is bonded to one Na1+ and three Mn+3.50+ atoms to form distorted ONaMn3 trigonal pyramids that share corners with four ONa2Mn3 trigonal bipyramids, corners with six ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and an edgeedge with one ONaMn3 trigonal pyramid. In the ninth O2- site, O2- is bonded to one Na1+ and three Mn+3.50+ atoms to form distorted ONaMn3 trigonal pyramids that share corners with four ONa2Mn3 trigonal bipyramids, corners with six ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and an edgeedge with one ONaMn3 trigonal pyramid. In the tenth O2- site, O2- is bonded to one Na1+ and three Mn+3.50+ atoms to form distorted ONaMn3 trigonal pyramids that share corners with four ONa2Mn3 trigonal bipyramids, corners with six ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and an edgeedge with one ONaMn3 trigonal pyramid. In the eleventh O2- site, O2- is bonded to one Na1+ and three Mn+3.50+ atoms to form distorted ONaMn3 trigonal pyramids that share corners with four ONa2Mn3 trigonal bipyramids, corners with six ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and an edgeedge with one ONaMn3 trigonal pyramid. In the twelfth O2- site, O2- is bonded to one Na1+ and three Mn+3.50+ atoms to form distorted ONaMn3 trigonal pyramids that share corners with four ONa2Mn3 trigonal bipyramids, corners with six ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and an edgeedge with one ONaMn3 trigonal pyramid. In the thirteenth O2- site, O2- is bonded to two Na1+ and three Mn+3.50+ atoms to form distorted ONa2Mn3 trigonal bipyramids that share corners with five ONa2Mn3 trigonal bipyramids, corners with four ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and edges with four ONaMn3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to two Na1+ and three Mn+3.50+ atoms to form distorted ONa2Mn3 trigonal bipyramids that share corners with five ONa2Mn3 trigonal bipyramids, corners with four ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and edges with four ONaMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to two Na1+ and three Mn+3.50+ atoms to form distorted ONa2Mn3 trigonal bipyramids that share corners with five ONa2Mn3 trigonal bipyramids, corners with four ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and edges with four ONaMn3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to two Na1+ and three Mn+3.50+ atoms to form distorted ONa2Mn3 trigonal bipyramids that share corners with five ONa2Mn3 trigonal bipyramids, corners with four ONaMn3 trigonal pyramids, edges with four ONa2Mn3 trigonal bipyramids, and edges with four ONaMn3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4O8 by Materials Project

Li3Mn4O8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.12–2.55 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Li–O bond distances ranging from 2.03–2.24 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Li–O bond distances ranging from 2.04–2.23 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.11–2.54 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Li–O bond distances ranging from 2.04–2.28 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–16°. There are a spread of Li–O bond distances ranging from 2.04–2.20 Å. There are eight inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with six LiO6 octahedra and edges with six MnO6 octahedra. There is two shorter (1.92 Å) and four longer (1.94 Å) Mn–O bond length. In the second Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Mn–O bond distances ranging from 2.09–2.19 Å. In the fourth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with six LiO6 octahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.94 Å. In the fifth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Mn–O bond distances ranging from 1.99–2.27 Å. In the sixth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Mn–O bond distances ranging from 1.99–2.28 Å. In the seventh Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–15°. There are a spread of Mn–O bond distances ranging from 2.09–2.19 Å. In the eighth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.95–2.00 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and four Mn+3.25+ atoms to form OLiMn4 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi2Mn3 square pyramids. In the second O2- site, O2- is bonded to two Li1+ and three Mn+3.25+ atoms to form OLi2Mn3 square pyramids that share corners with nine OLi3Mn2 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLiMn4 square pyramids. In the third O2- site, O2- is bonded to three Li1+ and two Mn+3.25+ atoms to form OLi3Mn2 square pyramids that share corners with nine OLi2Mn3 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLiMn4 square pyramids. In the fourth O2- site, O2- is bonded to one Li1+ and four Mn+3.25+ atoms to form OLiMn4 square pyramids that share corners with nine OLi2Mn3 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi3Mn2 square pyramids. In the fifth O2- site, O2- is bonded to three Li1+ and three Mn+3.25+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLiMn4 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the sixth O2- site, O2- is bonded to two Li1+ and three Mn+3.25+ atoms to form OLi2Mn3 square pyramids that share corners with nine OLi2Mn3 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLiMn4 square pyramids. In the seventh O2- site, O2- is bonded to three Li1+ and two Mn+3.25+ atoms to form OLi3Mn2 square pyramids that share corners with nine OLi2Mn3 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLiMn4 square pyramids. In the eighth O2- site, O2- is bonded to three Li1+ and three Mn+3.25+ atoms to form distorted OLi3Mn3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi2Mn3 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the ninth O2- site, O2- is bonded to one Li1+ and four Mn+3.25+ atoms to form OLiMn4 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi2Mn3 square pyramids. In the tenth O2- site, O2- is bonded to three Li1+ and two Mn+3.25+ atoms to form OLi3Mn2 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLiMn4 square pyramids. In the eleventh O2- site, O2- is bonded to two Li1+ and three Mn+3.25+ atoms to form OLi2Mn3 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLiMn4 square pyramids. In the twelfth O2- site, O2- is bonded to three Li1+ and three Mn+3.25+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi2Mn3 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the thirteenth O2- site, O2- is bonded to three Li1+ and two Mn+3.25+ atoms to form OLi3Mn2 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLiMn4 square pyramids. In the fourteenth O2- site, O2- is bonded to two Li1+ and three Mn+3.25+ atoms to form OLi2Mn3 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLiMn4 square pyramids. In the fifteenth O2- site, O2- is bonded to three Li1+ and three Mn+3.25+ atoms to form distorted OLi3Mn3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLiMn4 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the sixteenth O2- site, O2- is bonded to one Li1+ and four Mn+3.25+ atoms to form OLiMn4 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi3Mn2 square pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Li4Ti2Mn7O18 by Materials Project

Li4Ti2Mn7O18 crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first 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 2.06–2.47 Å. In the second Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.24–2.62 Å. In the third Li1+ site, Li1+ is bonded in a 7-coordinate geometry to seven O2- atoms. There are a spread of Li–O bond distances ranging from 2.24–2.62 Å. In the fourth 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 2.06–2.47 Å. There are two inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Ti–O bond distances ranging from 1.92–2.08 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with two equivalent MnO6 octahedra, edges with two equivalent TiO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Ti–O bond distances ranging from 1.88–2.09 Å. There are eight inequivalent Mn+3.43+ sites. In the first Mn+3.43+ site, Mn+3.43+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There is two shorter (1.91 Å) and four longer (2.08 Å) Mn–O bond length. In the second Mn+3.43+ site, Mn+3.43+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with six MnO6 octahedra and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 52–65°. There are four shorter (1.99 Å) and one longer (2.08 Å) Mn–O bond lengths. In the third Mn+3.43+ site, Mn+3.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent MnO5 square pyramids, and edges with four MnO6 octahedra. The corner-sharing octahedral tilt angles are 48°. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the fourth Mn+3.43+ site, Mn+3.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. In the fifth Mn+3.43+ site, Mn+3.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO5 square pyramids, edges with two equivalent TiO6 octahedra, and edges with two equivalent MnO6 octahedra. There is two shorter (1.93 Å) and four longer (1.95 Å) Mn–O bond length. In the sixth Mn+3.43+ site, Mn+3.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with two equivalent MnO5 square pyramids, and edges with four MnO6 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Mn–O bond distances ranging from 1.94–1.98 Å. In the seventh Mn+3.43+ site, Mn+3.43+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with six MnO6 octahedra and edges with two equivalent MnO5 square pyramids. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Mn–O bond distances ranging from 1.98–2.09 Å. In the eighth Mn+3.43+ site, Mn+3.43+ is bonded to six O2- atoms to form edge-sharing MnO6 octahedra. There is two shorter (1.92 Å) and four longer (2.07 Å) Mn–O bond length. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.43+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the third O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one Mn+3.43+ atom to form distorted OLi2Ti2Mn trigonal bipyramids that share corners with six OLiTiMn2 trigonal pyramids and edges with two equivalent OLi2Ti2Mn trigonal bipyramids. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and three Mn+3.43+ atoms. In the fifth O2- site, O2- is bonded to one Li1+ and three Mn+3.43+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with four OLi2Ti2Mn trigonal bipyramids and corners with two equivalent OLiMn3 trigonal pyramids. In the sixth O2- site, O2- is bonded to two equivalent Li1+ and three Mn+3.43+ atoms to form a mixture of edge and corner-sharing OLi2Mn3 trigonal bipyramids. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Mn+3.43+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti4+ and two equivalent Mn+3.43+ atoms. In the ninth O2- site, O2- is bonded to one Li1+, one Ti4+, and two equivalent Mn+3.43+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with two equivalent OLi2Ti2Mn trigonal bipyramids, corners with two equivalent OLiTiMn2 trigonal pyramids, and edges with two equivalent OLi2Mn3 trigonal bipyramids. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two equivalent Mn+3.43+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Ti4+ and two equivalent Mn+3.43+ atoms. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Li1+ and three Mn+3.43+ atoms. In the thirteenth O2- site, O2- is bonded to two equivalent Li1+ and three Mn+3.43+ atoms to form OLi2Mn3 trigonal bipyramids that share corners with two equivalent OLi2Mn3 trigonal bipyramids, edges with three equivalent OLi2Mn3 trigonal bipyramids, and edges with two equivalent OLiTiMn2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.43+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with four OLi2Ti2Mn trigonal bipyramids and corners with two equivalent OLiMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Li1+ and three Mn+3.43+ atoms. In the sixteenth O2- site, O2- is bonded to two equivalent Li1+, two equivalent Ti4+, and one Mn+3.43+ atom to form distorted OLi2Ti2Mn trigonal bipyramids that share corners with four OLiMn3 trigonal pyramids and edges with two equivalent OLi2Ti2Mn trigonal bipyramids. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two equivalent Li1+ and two equivalent Ti4+ atoms. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.43+ atoms.

36 MATERIALS SCIENCE↗