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Materials Data on Mn6OF11 by Materials Project

Mn6OF11 crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are eight inequivalent Mn+2.17+ sites. In the first Mn+2.17+ site, Mn+2.17+ is bonded to two equivalent O2- and two equivalent F1- atoms to form distorted corner-sharing MnO2F2 tetrahedra. Both Mn–O bond lengths are 1.89 Å. Both Mn–F bond lengths are 2.03 Å. In the second Mn+2.17+ site, Mn+2.17+ is bonded in a 8-coordinate geometry to one O2- and seven F1- atoms. The Mn–O bond length is 2.77 Å. There are a spread of Mn–F bond distances ranging from 2.19–2.41 Å. In the third Mn+2.17+ site, Mn+2.17+ is bonded in a distorted body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.10–2.56 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 2.19–2.40 Å. In the fifth Mn+2.17+ site, Mn+2.17+ is bonded in a 8-coordinate geometry to one O2- and seven F1- atoms. The Mn–O bond length is 2.19 Å. There are a spread of Mn–F bond distances ranging from 2.17–2.47 Å. In the sixth Mn+2.17+ site, Mn+2.17+ is bonded to two equivalent O2- and four F1- atoms to form distorted corner-sharing MnO2F4 pentagonal pyramids. Both Mn–O bond lengths are 2.03 Å. There are two shorter (1.99 Å) and two longer (2.15 Å) Mn–F bond lengths. In the seventh Mn+2.17+ site, Mn+2.17+ is bonded in a distorted body-centered cubic geometry to eight F1- atoms. There are a spread of Mn–F bond distances ranging from 2.12–2.67 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 2.22–2.35 Å. O2- is bonded in a 3-coordinate geometry to four 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 edge and corner-sharing FMn4 tetrahedra. In the third F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of distorted edge and corner-sharing FMn4 tetrahedra. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. In the fifth F1- site, F1- is bonded in a 4-coordinate geometry to four Mn+2.17+ atoms. In the sixth F1- site, F1- is bonded in a 4-coordinate geometry to four Mn+2.17+ atoms. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.17+ atoms. In the eighth F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of edge and corner-sharing FMn4 tetrahedra. In the ninth F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of distorted edge and corner-sharing FMn4 tetrahedra. In the tenth F1- site, F1- is bonded to four Mn+2.17+ atoms to form a mixture of distorted edge and corner-sharing FMn4 tetrahedra. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn3OF8 by Materials Project

Mn3OF8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Mn+3.33+ sites. In the first Mn+3.33+ site, Mn+3.33+ is bonded to one O2- and five F1- atoms to form corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 27–40°. The Mn–O bond length is 1.81 Å. There are a spread of Mn–F bond distances ranging from 1.85–2.05 Å. In the second Mn+3.33+ site, Mn+3.33+ is bonded to one O2- and five F1- atoms to form corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 26–40°. The Mn–O bond length is 1.81 Å. There are a spread of Mn–F bond distances ranging from 1.85–2.05 Å. In the third Mn+3.33+ site, Mn+3.33+ is bonded to one O2- and five F1- atoms to form corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 30–40°. The Mn–O bond length is 1.86 Å. There are a spread of Mn–F bond distances ranging from 1.93–2.11 Å. In the fourth Mn+3.33+ site, Mn+3.33+ is bonded to one O2- and five F1- atoms to form corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 30–40°. The Mn–O bond length is 1.86 Å. There are a spread of Mn–F bond distances ranging from 1.93–2.10 Å. In the fifth Mn+3.33+ site, Mn+3.33+ is bonded to six F1- atoms to form corner-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 27–34°. There are a spread of Mn–F bond distances ranging from 1.86–2.09 Å. In the sixth Mn+3.33+ site, Mn+3.33+ is bonded to six F1- atoms to form corner-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 26–35°. There are a spread of Mn–F bond distances ranging from 1.86–2.09 Å. There are two inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. There are sixteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the second F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the third F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the fourth F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the fifth F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the sixth F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the seventh F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the eighth F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the ninth F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the tenth F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the eleventh F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the twelfth F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the thirteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the fourteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the fifteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms. In the sixteenth F1- site, F1- is bonded in a bent 150 degrees geometry to two Mn+3.33+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn4Si3Ni5 by Materials Project

Mn4Ni5Si3 is Hexagonal Laves-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are five inequivalent Mn sites. In the first Mn site, Mn is bonded in a 12-coordinate geometry to four Mn, eight Ni, and four Si atoms. There are a spread of Mn–Mn bond distances ranging from 2.77–2.89 Å. There are a spread of Mn–Ni bond distances ranging from 2.73–2.75 Å. There are a spread of Mn–Si bond distances ranging from 2.66–2.83 Å. In the second Mn site, Mn is bonded in a 12-coordinate geometry to four Mn, seven Ni, and five Si atoms. There are one shorter (2.85 Å) and two longer (2.89 Å) Mn–Mn bond lengths. There are a spread of Mn–Ni bond distances ranging from 2.67–2.80 Å. There are a spread of Mn–Si bond distances ranging from 2.68–2.82 Å. In the third Mn site, Mn is bonded in a 12-coordinate geometry to four Mn, seven Ni, and five Si atoms. There are one shorter (2.88 Å) and two longer (2.89 Å) Mn–Mn bond lengths. There are a spread of Mn–Ni bond distances ranging from 2.67–2.80 Å. There are a spread of Mn–Si bond distances ranging from 2.68–2.82 Å. In the fourth Mn site, Mn is bonded in a 12-coordinate geometry to four Mn, eight Ni, and four Si atoms. Both Mn–Mn bond lengths are 2.89 Å. There are a spread of Mn–Ni bond distances ranging from 2.73–2.75 Å. There are a spread of Mn–Si bond distances ranging from 2.66–2.83 Å. In the fifth Mn site, Mn is bonded in a 12-coordinate geometry to four Mn, seven Ni, and five Si atoms. The Mn–Mn bond length is 2.85 Å. There are a spread of Mn–Ni bond distances ranging from 2.67–2.80 Å. There are a spread of Mn–Si bond distances ranging from 2.68–2.82 Å. There are three inequivalent Ni sites. In the first Ni site, Ni is bonded to six Mn, two equivalent Ni, and four Si atoms to form NiMn6Si4Ni2 cuboctahedra that share corners with four equivalent SiMn6SiNi5 cuboctahedra, corners with fourteen NiMn6Si4Ni2 cuboctahedra, edges with six NiMn6Si2Ni4 cuboctahedra, faces with eight NiMn6Si4Ni2 cuboctahedra, and faces with ten SiMn6SiNi5 cuboctahedra. There are one shorter (2.36 Å) and one longer (2.38 Å) Ni–Ni bond lengths. There are a spread of Ni–Si bond distances ranging from 2.28–2.43 Å. In the second Ni site, Ni is bonded to six Mn, four equivalent Ni, and two equivalent Si atoms to form NiMn6Si2Ni4 cuboctahedra that share corners with six SiMn6SiNi5 cuboctahedra, corners with twelve NiMn6Si4Ni2 cuboctahedra, edges with two equivalent NiMn6Si2Ni4 cuboctahedra, edges with four equivalent SiMn6Si2Ni4 cuboctahedra, faces with six equivalent SiMn6SiNi5 cuboctahedra, and faces with twelve NiMn6Si4Ni2 cuboctahedra. There are two shorter (2.30 Å) and two longer (2.41 Å) Ni–Ni bond lengths. Both Ni–Si bond lengths are 2.26 Å. In the third Ni site, Ni is bonded to six Mn, four Ni, and two equivalent Si atoms to form NiMn6Si2Ni4 cuboctahedra that share corners with eight SiMn6SiNi5 cuboctahedra, corners with ten NiMn6Si4Ni2 cuboctahedra, edges with six NiMn6Si2Ni4 cuboctahedra, faces with eight SiMn6SiNi5 cuboctahedra, and faces with ten NiMn6Si4Ni2 cuboctahedra. There are one shorter (2.33 Å) and one longer (2.41 Å) Ni–Ni bond lengths. Both Ni–Si bond lengths are 2.31 Å. There are two inequivalent Si sites. In the first Si site, Si is bonded to six Mn, five Ni, and one Si atom to form SiMn6SiNi5 cuboctahedra that share corners with two equivalent SiMn6Si2Ni4 cuboctahedra, corners with ten NiMn6Si4Ni2 cuboctahedra, edges with six equivalent SiMn6SiNi5 cuboctahedra, faces with five SiMn6SiNi5 cuboctahedra, and faces with fifteen NiMn6Si4Ni2 cuboctahedra. The Si–Si bond length is 2.49 Å. In the second Si site, Si is bonded to six Mn, four equivalent Ni, and two equivalent Si atoms to form SiMn6Si2Ni4 cuboctahedra that share corners with eight SiMn6SiNi5 cuboctahedra, corners with ten NiMn6Si2Ni4 cuboctahedra, edges with two equivalent SiMn6Si2Ni4 cuboctahedra, edges with four equivalent NiMn6Si2Ni4 cuboctahedra, faces with six equivalent SiMn6SiNi5 cuboctahedra, and faces with twelve NiMn6Si4Ni2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Th2Mn17C2 by Materials Project

Th2Mn17C2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Th is bonded in a distorted bent 120 degrees geometry to eight Mn and two equivalent C atoms. There are a spread of Th–Mn bond distances ranging from 2.97–3.40 Å. Both Th–C bond lengths are 2.57 Å. There are seven inequivalent Mn sites. In the first Mn site, Mn is bonded in a 12-coordinate geometry to three equivalent Th and nine Mn atoms. There are a spread of Mn–Mn bond distances ranging from 2.46–2.76 Å. In the second Mn site, Mn is bonded in a single-bond geometry to five Mn and one C atom. There are a spread of Mn–Mn bond distances ranging from 2.43–2.61 Å. The Mn–C bond length is 1.89 Å. In the third Mn site, Mn is bonded in a 12-coordinate geometry to ten Mn atoms. There are four shorter (2.42 Å) and two longer (2.62 Å) Mn–Mn bond lengths. In the fourth Mn site, Mn is bonded to two equivalent Th and ten Mn atoms to form distorted MnTh2Mn10 cuboctahedra that share corners with two equivalent MnTh2Mn10 cuboctahedra, corners with two equivalent CTh2Mn4 octahedra, faces with two equivalent MnTh2Mn10 cuboctahedra, and faces with two equivalent CTh2Mn4 octahedra. The corner-sharing octahedral tilt angles are 47°. There are a spread of Mn–Mn bond distances ranging from 2.40–2.66 Å. In the fifth Mn site, Mn is bonded in a distorted q6 geometry to two equivalent Th and ten Mn atoms. There are two shorter (2.36 Å) and two longer (2.60 Å) Mn–Mn bond lengths. In the sixth Mn site, Mn is bonded in a single-bond geometry to six Mn and one C atom. There are one shorter (2.65 Å) and one longer (2.68 Å) Mn–Mn bond lengths. The Mn–C bond length is 1.91 Å. In the seventh Mn site, Mn is bonded in a 1-coordinate geometry to one Th and thirteen Mn atoms. The Mn–Mn bond length is 2.35 Å. C is bonded to two equivalent Th and four Mn atoms to form CTh2Mn4 octahedra that share corners with two equivalent MnTh2Mn10 cuboctahedra, corners with two equivalent CTh2Mn4 octahedra, and faces with two equivalent MnTh2Mn10 cuboctahedra. The corner-sharing octahedral tilt angles are 64°.

36 MATERIALS SCIENCE↗

Materials Data on LiMn8O16 by Materials Project

LiMn8O16 crystallizes in the monoclinic Pc space group. The structure is three-dimensional. Li1+ is bonded in a bent 120 degrees geometry to two O2- atoms. There are one shorter (2.00 Å) and one longer (2.01 Å) Li–O bond lengths. 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 1.92–2.01 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 1.93–2.00 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 1.92–2.03 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 1.92–2.00 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 1.92–1.98 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 1.92–1.98 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 51°. There are a spread of Mn–O bond distances ranging from 1.93–1.96 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 50–51°. There are a spread of Mn–O bond distances ranging from 1.91–1.96 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 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 in a distorted rectangular see-saw-like geometry to one Li1+ and 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 rectangular see-saw-like geometry to one Li1+ and three Mn+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.88+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgMn4O8 by Materials Project

MgMn4O8 crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are two inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with six MnO6 octahedra, edges with three MnO6 octahedra, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–53°. There are a spread of Mg–O bond distances ranging from 2.03–2.14 Å. In the second Mg2+ site, Mg2+ is bonded to five O2- atoms to form MgO5 square pyramids that share corners with six MnO6 octahedra, edges with three MnO6 octahedra, and a faceface with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–53°. There are a spread of Mg–O bond distances ranging from 2.03–2.14 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 MnO6 octahedra that share corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Mn–O bond distances ranging from 1.90–2.07 Å. In the second Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with four MnO6 octahedra, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Mn–O bond distances ranging from 1.92–2.18 Å. In the third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four MnO6 octahedra, corners with three MgO5 square pyramids, and edges with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Mn–O bond distances ranging from 1.93–2.24 Å. In the fourth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO6 octahedra, a cornercorner with one MgO5 square pyramid, edges with four MnO6 octahedra, and a faceface with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Mn–O bond distances ranging from 1.90–2.01 Å. In the fifth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with two MgO5 square pyramids. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Mn–O bond distances ranging from 1.90–2.07 Å. In the sixth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO6 octahedra, corners with two equivalent MgO5 square pyramids, edges with four MnO6 octahedra, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 49–56°. There are a spread of Mn–O bond distances ranging from 1.92–2.18 Å. In the seventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with four MnO6 octahedra, corners with three MgO5 square pyramids, and edges with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are a spread of Mn–O bond distances ranging from 1.93–2.24 Å. In the eighth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with four MnO6 octahedra, a cornercorner with one MgO5 square pyramid, edges with four MnO6 octahedra, and a faceface with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of Mn–O bond distances ranging from 1.90–2.01 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to one Mg2+ and three Mn+3.50+ atoms to form a mixture of edge and corner-sharing OMgMn3 trigonal pyramids. In the second O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.50+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.50+ atoms. In the fourth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.50+ atoms. In the fifth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.50+ atoms. In the sixth O2- site, O2- is bonded to one Mg2+ and three Mn+3.50+ atoms to form a mixture of edge and corner-sharing OMgMn3 trigonal pyramids. 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 distorted trigonal planar geometry to three Mn+3.50+ atoms. In the ninth O2- site, O2- is bonded to one Mg2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Mn+3.50+ atoms. In the eleventh O2- site, O2- is bonded to one Mg2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the twelfth O2- site, O2- is bonded to one Mg2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the thirteenth O2- site, O2- is bonded to one Mg2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Mg2+ and three Mn+3.50+ atoms. In the fifteenth O2- site, O2- is bonded to one Mg2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Mn+3.50+ atoms to form a mixture of distorted edge and corner-sharing OMgMn3 trigonal pyramids.

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 a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 71°. There are a spread of Li–O bond distances ranging from 1.86–1.98 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 and corners with four PO4 tetrahedra. The corner-sharing octahedral tilt angles are 37°. There are a spread of Li–O bond distances ranging from 1.89–2.02 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.85–2.17 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 1.84–1.99 Å. In the fifth Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share corners with five PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.81–2.57 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 1.89–2.54 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 and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.53 Å. In the second 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, an edgeedge with one MnO6 octahedra, and an edgeedge with one PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.48 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 1.91–2.35 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 1.91–2.36 Å. In the fifth 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, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.47 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 corners with five PO4 tetrahedra and an edgeedge with one MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.20 Å. In the seventh 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 1.96–2.58 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 LiO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.52 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 corners with two MnO6 octahedra, a cornercorner with one PO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 48–56°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share 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 29°. 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 53°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 21–54°. There are a spread of P–O bond distances ranging from 1.53–1.63 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 29–46°. There are a spread of P–O bond distances ranging from 1.51–1.62 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, a cornercorner with one MnO5 trigonal bipyramid, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedral tilt angles are 53°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the seventh 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, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 56–63°. 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 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 32–55°. There are a spread of P–O bond distances ranging from 1.52–1.59 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 34°. There are a spread of P–O bond distances ranging from 1.50–1.60 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, a cornercorner with one LiO4 tetrahedra, and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 63°. There are a spread of P–O bond distances ranging from 1.48–1.61 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. 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 LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 31–49°. There are a spread of P–O bond distances ranging from 1.52–1.62 Å. In the thirteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 30–51°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourteenth 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, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. In the fifteenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO4 tetrahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 33°. There are a spread of P–O bond distances ranging from 1.50–1.60 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, a cornercorner with one PO4 tetrahedra, and a cornercorner with one LiO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 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 distorted bent 120 degrees geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a 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 bent 120 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 3-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 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 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 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 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 t

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 2.04–2.23 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 2.05–2.24 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 2.12–2.55 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 9–16°. There are a spread of Li–O bond distances ranging from 2.04–2.26 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 9–16°. There are a spread of Li–O bond distances ranging from 2.05–2.21 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 are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. 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 1.95–1.98 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 7–16°. There are a spread of Mn–O bond distances ranging from 2.11–2.19 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 1.93–1.95 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 1.99–2.28 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 7–16°. 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 2.11–2.19 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 1.95–1.99 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 0–1°. 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 0–1°. 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 0–1°. 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 LiMn2(PO4)2 by Materials Project

LiMn2(PO4)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.87–2.09 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 a cornercorner with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.86–2.07 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four PO4 tetrahedra, and corners with two MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.87–2.18 Å. There are six inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.94–2.36 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 a cornercorner with one LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.99–2.27 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.08–2.62 Å. In the fourth Mn+2.50+ site, Mn+2.50+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.04–2.54 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 two LiO4 tetrahedra, corners with five PO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.99–2.35 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five PO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.92–2.40 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 LiO4 tetrahedra and corners with two MnO5 trigonal bipyramids. There are a spread of P–O bond distances ranging from 1.52–1.58 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three LiO4 tetrahedra and corners with two MnO5 trigonal bipyramids. There are a spread of P–O bond distances ranging from 1.50–1.59 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of P–O bond distances ranging from 1.54–1.61 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of P–O bond distances ranging from 1.54–1.60 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of P–O bond distances ranging from 1.53–1.59 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal non-coplanar geometry to two Li1+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.50+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.50+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn+2.50+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a trigonal planar 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 three Mn+2.50+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to three 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 distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the eleventh 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 twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.50+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.50+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to three Mn+2.50+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to three Mn+2.50+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.50+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.50+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn+2.50+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+2.50+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Pr2Mn17C2 by Materials Project

Pr2Mn17C2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Pr is bonded in a distorted bent 120 degrees geometry to eight Mn and two equivalent C atoms. There are a spread of Pr–Mn bond distances ranging from 3.00–3.42 Å. Both Pr–C bond lengths are 2.57 Å. There are seven inequivalent Mn sites. In the first Mn site, Mn is bonded to two equivalent Pr and ten Mn atoms to form distorted MnPr2Mn10 cuboctahedra that share corners with four MnPr2Mn10 cuboctahedra, corners with four equivalent CPr2Mn4 octahedra, edges with three MnPr2Mn10 cuboctahedra, edges with two equivalent CPr2Mn4 octahedra, and faces with three MnPr2Mn10 cuboctahedra. The corner-sharing octahedra tilt angles range from 21–27°. There are a spread of Mn–Mn bond distances ranging from 2.40–2.75 Å. In the second Mn site, Mn is bonded in a single-bond geometry to six Mn and one C atom. There are a spread of Mn–Mn bond distances ranging from 2.42–2.71 Å. The Mn–C bond length is 1.90 Å. In the third Mn site, Mn is bonded in a 12-coordinate geometry to ten Mn atoms. There are four shorter (2.43 Å) and two longer (2.65 Å) Mn–Mn bond lengths. In the fourth Mn site, Mn is bonded to two equivalent Pr and ten Mn atoms to form distorted MnPr2Mn10 cuboctahedra that share corners with four MnPr2Mn10 cuboctahedra, corners with two equivalent CPr2Mn4 octahedra, edges with two equivalent MnPr2Mn10 cuboctahedra, faces with four MnPr2Mn10 cuboctahedra, and faces with two equivalent CPr2Mn4 octahedra. The corner-sharing octahedral tilt angles are 49°. There are a spread of Mn–Mn bond distances ranging from 2.42–2.67 Å. In the fifth Mn site, Mn is bonded in a single-bond geometry to five Mn and one C atom. There are one shorter (2.58 Å) and one longer (2.71 Å) Mn–Mn bond lengths. The Mn–C bond length is 1.91 Å. In the sixth Mn site, Mn is bonded in a 12-coordinate geometry to three equivalent Pr and nine Mn atoms. The Mn–Mn bond length is 2.61 Å. In the seventh Mn site, Mn is bonded in a 1-coordinate geometry to one Pr and thirteen Mn atoms. The Mn–Mn bond length is 2.33 Å. C is bonded to two equivalent Pr and four Mn atoms to form CPr2Mn4 octahedra that share corners with six MnPr2Mn10 cuboctahedra, corners with two equivalent CPr2Mn4 octahedra, edges with two equivalent MnPr2Mn10 cuboctahedra, and faces with two equivalent MnPr2Mn10 cuboctahedra. The corner-sharing octahedral tilt angles are 64°.

36 MATERIALS SCIENCE↗

Materials Data on MgMn4O8 by Materials Project

MgMn4O8 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are two inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Mg–O bond distances ranging from 1.99–2.04 Å. In the second Mg2+ site, Mg2+ is bonded to four O2- atoms to form MgO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Mg–O bond distances ranging from 1.98–2.04 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 MnO6 octahedra that share corners with three MgO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.15 Å. In the second Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MgO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.01 Å. In the third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MgO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.01 Å. In the fourth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MgO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.14 Å. In the fifth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MgO4 tetrahedra and edges with six MnO6 octahedra. 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 MnO6 octahedra that share corners with three MgO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.18 Å. In the seventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MgO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.02 Å. In the eighth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three MgO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.01 Å. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.50+ atoms. In the second O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.50+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+3.50+ atoms. In the fourth O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+3.50+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.50+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.50+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.50+ atoms. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.50+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Mn+3.50+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Mn+3.50+ atoms. In the eleventh O2- site, O2- is bonded in a distorted tetrahedral geometry to one Mg2+ and three Mn+3.50+ atoms. In the twelfth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Mg2+ and three Mn+3.50+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Mn+3.50+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Mn+3.50+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Mn+3.50+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Mg2+ and three Mn+3.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn5(P2O7)4 by Materials Project

Mn5(P2O7)4 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are five inequivalent Mn+3.20+ sites. In the first Mn+3.20+ site, Mn+3.20+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.91–2.64 Å. In the second Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mn–O bond distances ranging from 1.91–2.53 Å. In the third Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mn–O bond distances ranging from 1.90–2.47 Å. In the fourth Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with four PO4 tetrahedra, and an edgeedge with one PO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Mn–O bond distances ranging from 1.87–2.11 Å. In the fifth Mn+3.20+ site, Mn+3.20+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra and corners with six PO4 tetrahedra. The corner-sharing octahedral tilt angles are 60°. There are a spread of Mn–O bond distances ranging from 1.94–2.47 Å. There are eight inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 25–52°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the second 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 24–49°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 30–43°. There are a spread of P–O bond distances ranging from 1.50–1.64 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 37–52°. There are a spread of P–O bond distances ranging from 1.52–1.60 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 23–54°. There are a spread of P–O bond distances ranging from 1.50–1.63 Å. In the sixth 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 39–43°. There are a spread of P–O bond distances ranging from 1.52–1.60 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–52°. There are a spread of P–O bond distances ranging from 1.49–1.60 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with two equivalent MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and an edgeedge with one MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–57°. There are a spread of P–O bond distances ranging from 1.51–1.60 Å. There are twenty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+3.20+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.20+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted bent 150 degrees geometry to two P5+ atoms. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+3.20+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+3.20+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a water-like geometry to one Mn+3.20+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to two P5+ atoms. In the eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.20+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.20+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+3.20+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 2-coordinate geometry to two Mn+3.20+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn+3.20+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+3.20+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Mn+3.20+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to two Mn+3.20+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+3.20+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the eighteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.20+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.20+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+3.20+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+3.20+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 120 degrees geometry to one Mn+3.20+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+3.20+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+3.20+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.20+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+3.20+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted bent 120 degrees geometry to one Mn+3.20+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn6OF11 by Materials Project

Mn6OF11 is Hydrophilite-derived structured and crystallizes in the monoclinic P2 space group. The structure is three-dimensional. there are eight inequivalent Mn+2.17+ sites. In the first Mn+2.17+ site, Mn+2.17+ is bonded to six F1- atoms to form a mixture of edge and corner-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There are a spread of Mn–F bond distances ranging from 2.11–2.21 Å. In the second Mn+2.17+ site, Mn+2.17+ is bonded to six F1- atoms to form MnF6 octahedra that share corners with eight MnO2F4 octahedra and an edgeedge with one MnF6 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of Mn–F bond distances ranging from 2.08–2.18 Å. In the third Mn+2.17+ site, Mn+2.17+ is bonded in a 6-coordinate geometry to two equivalent O2- and four F1- atoms. Both Mn–O bond lengths are 2.00 Å. There are two shorter (2.14 Å) and two longer (2.43 Å) Mn–F bond lengths. In the fourth Mn+2.17+ site, Mn+2.17+ is bonded to six F1- atoms to form a mixture of edge and corner-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Mn–F bond distances ranging from 2.12–2.19 Å. In the fifth Mn+2.17+ site, Mn+2.17+ is bonded to six F1- atoms to form a mixture of edge and corner-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 53–54°. There are a spread of Mn–F bond distances ranging from 2.11–2.19 Å. In the sixth Mn+2.17+ site, Mn+2.17+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with six MnF6 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. The Mn–O bond length is 2.02 Å. There are a spread of Mn–F bond distances ranging from 2.09–2.17 Å. In the seventh Mn+2.17+ site, Mn+2.17+ is bonded to two equivalent O2- and four F1- atoms to form MnO2F4 octahedra that share corners with four equivalent MnF6 octahedra and edges with two equivalent MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 51–56°. Both Mn–O bond lengths are 1.95 Å. There are two shorter (2.06 Å) and two longer (2.17 Å) Mn–F bond lengths. In the eighth Mn+2.17+ site, Mn+2.17+ is bonded to six F1- atoms to form a mixture of edge and corner-sharing MnF6 octahedra. The corner-sharing octahedra tilt angles range from 52–57°. There are a spread of Mn–F bond distances ranging from 2.11–2.21 Å. O2- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. There are eleven inequivalent F1- sites. In the first F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the second F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the third F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.17+ atoms. In the fifth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the sixth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the seventh F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the eighth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the ninth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.17+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.17+ atoms. In the eleventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li24Mn11CrO36 by Materials Project

Li24CrMn11O36 is beta Polonium-derived structured and crystallizes in the monoclinic C2 space group. The structure is three-dimensional. there are thirteen inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.20 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are a spread of Li–O bond distances ranging from 2.08–2.11 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.19 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.19 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are two shorter (2.03 Å) and four longer (2.17 Å) Li–O bond lengths. 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 six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.08 Å) and two longer (2.10 Å) Li–O bond lengths. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.06–2.21 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one CrO6 octahedra, corners with two LiO6 octahedra, corners with three MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.03–2.18 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–9°. There are a spread of Li–O bond distances ranging from 2.02–2.18 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, an edgeedge with one CrO6 octahedra, edges with three MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.21 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with five MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are two shorter (2.07 Å) and four longer (2.10 Å) Li–O bond lengths. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with two LiO6 octahedra, corners with four MnO6 octahedra, edges with four MnO6 octahedra, and edges with eight LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–9°. There are a spread of Li–O bond distances ranging from 2.05–2.20 Å. In the thirteenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with six LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–9°. There are four shorter (2.08 Å) and two longer (2.10 Å) Li–O bond lengths. Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There is two shorter (1.90 Å) and four longer (1.97 Å) Cr–O bond length. There are seven inequivalent Mn+3.82+ sites. In the first Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the second Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the third Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the fourth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There are a spread of Mn–O bond distances ranging from 1.93–1.95 Å. In the fifth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, an edgeedge with one CrO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. All Mn–O bond lengths are 1.94 Å. In the sixth Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–8°. There is two shorter (1.93 Å) and four longer (1.94 Å) Mn–O bond length. In the seventh Mn+3.82+ site, Mn+3.82+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with three MnO6 octahedra, and edges with nine LiO6 octahedra. The corner-sharing octahedral tilt angles are 7°. There is two shorter (1.93 Å) and four longer (1.94 Å) Mn–O bond length. There are eighteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O2- site, O2- is bonded to four Li1+, one Cr6+, and one Mn+3.82+ atom to form OLi4MnCr octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fourth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the seventh O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eighth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the ninth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the tenth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the eleventh O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the twelfth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the thirteenth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fourteenth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form OLi4Mn2 octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifteenth O2- site, O2- is bonded to four Li1+, one Cr6+, and one Mn+3.82+ atom to form OLi4MnCr octahedra that share corners with six OLi4Mn2 octahedra and edges with twelve OLi4MnCr octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the sixteenth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventeenth O2- site, O2- is bonded to four Li1+, one Cr6+, and one Mn+3.82+ atom to form OLi4MnCr octahedra that share corners with six OLi4MnCr octahedra and edges with twelve OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eighteenth O2- site, O2- is bonded to four Li1+ and two Mn+3.82+ atoms to form a mixture of corner and edge-sharing OLi4Mn2 octahedra. The corner-sharing octahedra tilt angles range from 0–7°.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn7V12O48 by Materials Project

Li9V12Mn7O48 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.12 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Li–O bond distances ranging from 1.96–2.34 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 64°. There are a spread of Li–O bond distances ranging from 2.04–2.22 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 61–71°. There are a spread of Li–O bond distances ranging from 2.04–2.27 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share a cornercorner with one LiO6 octahedra, a cornercorner with one MnO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 63–71°. There are a spread of Li–O bond distances ranging from 2.02–2.33 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Li–O bond distances ranging from 1.99–2.32 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form distorted LiO6 pentagonal pyramids that share corners with two MnO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 58–59°. There are a spread of Li–O bond distances ranging from 2.12–2.22 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent MnO6 octahedra. There are a spread of Li–O bond distances ranging from 2.00–2.12 Å. There are twelve inequivalent V5+ sites. In the first V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 30–68°. There are a spread of V–O bond distances ranging from 1.73–1.80 Å. In the second V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–65°. There are a spread of V–O bond distances ranging from 1.65–1.83 Å. In the third V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 35–64°. There are a spread of V–O bond distances ranging from 1.64–1.83 Å. In the fourth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and corners with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–63°. There are a spread of V–O bond distances ranging from 1.72–1.77 Å. In the fifth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MnO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one MnO6 pentagonal pyramid, and corners with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 26–57°. There are a spread of V–O bond distances ranging from 1.68–1.79 Å. In the sixth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three LiO6 octahedra and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 22–64°. There is three shorter (1.74 Å) and one longer (1.87 Å) V–O bond length. In the seventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with three MnO6 octahedra and corners with five LiO6 octahedra. The corner-sharing octahedra tilt angles range from 22–59°. There are a spread of V–O bond distances ranging from 1.68–1.81 Å. In the eighth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MnO6 octahedra, corners with three LiO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 25–58°. There are a spread of V–O bond distances ranging from 1.68–1.85 Å. In the ninth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two LiO6 octahedra, corners with three MnO6 octahedra, and corners with three LiO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 24–63°. There are a spread of V–O bond distances ranging from 1.65–1.81 Å. In the tenth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MnO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and corners with two equivalent MnO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 33–59°. There are a spread of V–O bond distances ranging from 1.69–1.78 Å. In the eleventh V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with two MnO6 octahedra, corners with three LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, and corners with two equivalent MnO6 pentagonal pyramids. The corner-sharing octahedra tilt angles range from 34–59°. There are a spread of V–O bond distances ranging from 1.68–1.78 Å. In the twelfth V5+ site, V5+ is bonded to four O2- atoms to form VO4 tetrahedra that share corners with four LiO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 31–67°. There are a spread of V–O bond distances ranging from 1.72–1.79 Å. There are seven inequivalent Mn+3.86+ sites. In the first Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form distorted MnO6 pentagonal pyramids that share corners with two LiO6 octahedra, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 pentagonal pyramids. The corner-sharing octahedral tilt angles are 61°. There are a spread of Mn–O bond distances ranging from 1.93–2.25 Å. In the second Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 58°. There are a spread of Mn–O bond distances ranging from 1.90–1.98 Å. In the third Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.87–1.95 Å. In the fourth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six VO4 tetrahedra and faces with two equivalent LiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.00 Å. In the fifth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Mn–O bond distances ranging from 1.88–2.09 Å. In the sixth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 54°. There are a spread of Mn–O bond distances ranging from 1.88–2.08 Å. In the seventh Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one LiO6 octahedra, a cornercorner with one LiO6 pentagonal pyramid, corners with six VO4 tetrahedra, and edges with two equivalent LiO6 octahedra. The corner-sharing octahedral tilt angles are 56°. There are a spread of Mn–O bond distances ranging from 1.87–1.97 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the second O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the third O2- site, O2- is bonded in a trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one V5+, and one Mn+3.86+ atom. In the nineteen

36 MATERIALS SCIENCE↗

Materials Data on Mn4Ga3Cu2 by Materials Project

Mn4Cu2Ga3 crystallizes in the hexagonal P-6m2 space group. The structure is three-dimensional. there are five inequivalent Mn sites. In the first Mn site, Mn is bonded to six Mn and five Ga atoms to form a mixture of distorted face and corner-sharing MnMn6Ga5 trigonal bipyramids. All Mn–Mn bond lengths are 2.75 Å. There are a spread of Mn–Ga bond distances ranging from 2.42–2.66 Å. In the second Mn site, Mn is bonded in a 12-coordinate geometry to two Mn, six Cu, and six Ga atoms. There are one shorter (2.64 Å) and one longer (2.70 Å) Mn–Mn bond lengths. There are three shorter (2.76 Å) and three longer (2.78 Å) Mn–Cu bond lengths. There are three shorter (2.76 Å) and three longer (2.78 Å) Mn–Ga bond lengths. In the third Mn site, Mn is bonded in a 9-coordinate geometry to five Mn, three equivalent Cu, and six Ga atoms. The Mn–Mn bond length is 2.58 Å. All Mn–Cu bond lengths are 2.77 Å. There are three shorter (2.75 Å) and three longer (2.77 Å) Mn–Ga bond lengths. In the fourth Mn site, Mn is bonded in a 10-coordinate geometry to five Mn, three equivalent Cu, and six Ga atoms. There are a spread of Mn–Mn bond distances ranging from 2.58–2.75 Å. All Mn–Cu bond lengths are 2.79 Å. There are three shorter (2.75 Å) and three longer (2.79 Å) Mn–Ga bond lengths. In the fifth Mn site, Mn is bonded in a 10-coordinate geometry to five Mn, three equivalent Cu, and six Ga atoms. All Mn–Cu bond lengths are 2.79 Å. There are three shorter (2.75 Å) and three longer (2.79 Å) Mn–Ga bond lengths. There are three inequivalent Cu sites. In the first Cu site, Cu is bonded in a 11-coordinate geometry to six Mn and five Ga atoms. There are a spread of Cu–Ga bond distances ranging from 2.42–2.68 Å. In the second Cu site, Cu is bonded in a 11-coordinate geometry to six Mn and five Ga atoms. There are three shorter (2.42 Å) and two longer (2.66 Å) Cu–Ga bond lengths. In the third Cu site, Cu is bonded in a 11-coordinate geometry to six equivalent Mn and five Ga atoms. There are three shorter (2.42 Å) and two longer (2.67 Å) Cu–Ga bond lengths. There are four inequivalent Ga sites. In the first Ga site, Ga is bonded in a 11-coordinate geometry to six equivalent Mn and five Cu atoms. In the second Ga site, Ga is bonded in a 11-coordinate geometry to nine Mn and two Cu atoms. In the third Ga site, Ga is bonded in a 11-coordinate geometry to seven Mn and four Cu atoms. In the fourth Ga site, Ga is bonded in a 11-coordinate geometry to eight Mn and three equivalent Cu atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn20Si12C by Materials Project

Mn20Si12C crystallizes in the monoclinic P2/m space group. The structure is three-dimensional. there are eight inequivalent Mn+2.10+ sites. In the first Mn+2.10+ site, Mn+2.10+ is bonded in a 8-coordinate geometry to two equivalent Mn+2.10+ and six Si+3.33- atoms. Both Mn–Mn bond lengths are 2.40 Å. There are a spread of Mn–Si bond distances ranging from 2.42–2.44 Å. In the second Mn+2.10+ site, Mn+2.10+ is bonded in a 8-coordinate geometry to two equivalent Mn+2.10+ and six Si+3.33- atoms. Both Mn–Mn bond lengths are 2.40 Å. There are a spread of Mn–Si bond distances ranging from 2.42–2.45 Å. In the third Mn+2.10+ site, Mn+2.10+ is bonded in a 8-coordinate geometry to two equivalent Mn+2.10+ and six Si+3.33- atoms. There are a spread of Mn–Si bond distances ranging from 2.39–2.41 Å. In the fourth Mn+2.10+ site, Mn+2.10+ is bonded in a 8-coordinate geometry to two equivalent Mn+2.10+ and six Si+3.33- atoms. There are two shorter (2.40 Å) and four longer (2.42 Å) Mn–Si bond lengths. In the fifth Mn+2.10+ site, Mn+2.10+ is bonded to five Si+3.33- atoms to form a mixture of distorted edge and corner-sharing MnSi5 trigonal bipyramids. There are a spread of Mn–Si bond distances ranging from 2.40–2.63 Å. In the sixth Mn+2.10+ site, Mn+2.10+ is bonded in a distorted single-bond geometry to five Si+3.33- and one C2- atom. There are a spread of Mn–Si bond distances ranging from 2.40–2.67 Å. The Mn–C bond length is 2.00 Å. In the seventh Mn+2.10+ site, Mn+2.10+ is bonded to five Si+3.33- atoms to form a mixture of distorted edge and corner-sharing MnSi5 trigonal bipyramids. There are a spread of Mn–Si bond distances ranging from 2.39–2.62 Å. In the eighth Mn+2.10+ site, Mn+2.10+ is bonded in a distorted single-bond geometry to five Si+3.33- and one C2- atom. There are a spread of Mn–Si bond distances ranging from 2.40–2.66 Å. The Mn–C bond length is 2.00 Å. There are four inequivalent Si+3.33- sites. In the first Si+3.33- site, Si+3.33- is bonded in a 9-coordinate geometry to nine Mn+2.10+ atoms. In the second Si+3.33- site, Si+3.33- is bonded in a 9-coordinate geometry to nine Mn+2.10+ atoms. In the third Si+3.33- site, Si+3.33- is bonded in a 9-coordinate geometry to nine Mn+2.10+ atoms. In the fourth Si+3.33- site, Si+3.33- is bonded in a 9-coordinate geometry to nine Mn+2.10+ atoms. C2- is bonded in an octahedral geometry to six Mn+2.10+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn2(P2O7)2 by Materials Project

Li3Mn2(P2O7)2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.20 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted 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 1.91–1.96 Å. In the third Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–2.53 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 1.83–1.97 Å. In the fifth 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 1.94–2.25 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 1.97–2.30 Å. In the seventh Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.84–2.27 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four PO4 tetrahedra and an edgeedge with one LiO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.92–1.98 Å. In the ninth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.46 Å. In the tenth 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 1.84–2.01 Å. In the eleventh Li1+ site, Li1+ is bonded in a distorted rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.86–2.32 Å. In the twelfth 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 1.95–2.30 Å. There are eight 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 an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.18 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 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 2.08–2.21 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.02–2.26 Å. In the fourth Mn+2.50+ site, Mn+2.50+ 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 1.96–2.19 Å. In the fifth Mn+2.50+ site, Mn+2.50+ 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 2.04–2.33 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.09–2.25 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded in a 5-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.06–2.74 Å. In the eighth Mn+2.50+ site, Mn+2.50+ 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 2.09–2.29 Å. There are sixteen inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 51°. There are a spread of P–O bond distances ranging from 1.51–1.59 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share 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 1.49–1.64 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 57°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 29–55°. There are a spread of P–O bond distances ranging from 1.53–1.62 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–54°. There are a spread of P–O bond distances ranging from 1.52–1.61 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one MnO6 octahedra, a cornercorner with one PO4 tetrahedra, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 57°. There are a spread of P–O bond distances ranging from 1.51–1.62 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 52°. There are a spread of P–O bond distances ranging from 1.49–1.60 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, corners with two LiO4 tetrahedra, and a cornercorner with one MnO5 trigonal bipyramid. The corner-sharing octahedral tilt angles are 36°. There are a spread of P–O bond distances ranging from 1.51–1.63 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 34°. There are a spread of P–O bond distances ranging from 1.49–1.62 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 55°. There are a spread of P–O bond distances ranging from 1.52–1.60 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 55°. There are a spread of P–O bond distances ranging from 1.51–1.62 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with three MnO6 octahedra and a cornercorner with one PO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–49°. There are a spread of P–O bond distances ranging from 1.53–1.61 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 35–48°. There are a spread of P–O bond distances ranging from 1.53–1.61 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 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 1.51–1.62 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, and corners with two LiO4 tetrahedra. The corner-sharing octahedral tilt angles are 38°. There are a spread of P–O bond distances ranging from 1.51–1.62 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 55°. There are a spread of P–O bond distances ranging from 1.49–1.61 Å. There are fifty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar 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+2.50+ and one P5+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a 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 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+2.50+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a distorted tetrahedral geometry to two Li1+, one Mn+2.50+, and one P5+ atom. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to two 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 two Li1+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 120 degrees geometry to two P5+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 120 degrees geometry to one Li1+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a

36 MATERIALS SCIENCE↗