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Materials Data on Mn6O7F5 by Materials Project

Mn6O7F5 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+3.17+ sites. In the first Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of Mn–O bond distances ranging from 1.91–2.07 Å. There are one shorter (1.97 Å) and one longer (2.21 Å) Mn–F bond lengths. In the second Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 42–62°. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. There are two shorter (2.09 Å) and one longer (2.12 Å) Mn–F bond lengths. In the third Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Mn–O bond distances ranging from 1.91–2.06 Å. There are one shorter (1.99 Å) and one longer (2.21 Å) Mn–F bond lengths. In the fourth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–63°. There are a spread of Mn–O bond distances ranging from 1.94–2.04 Å. There are a spread of Mn–F bond distances ranging from 2.01–2.15 Å. In the fifth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–64°. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. There are a spread of Mn–F bond distances ranging from 2.01–2.13 Å. In the sixth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 42–61°. There are a spread of Mn–O bond distances ranging from 1.94–2.03 Å. There are a spread of Mn–F bond distances ranging from 2.10–2.14 Å. In the seventh Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of corner and edge-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 45–64°. There are a spread of Mn–O bond distances ranging from 1.96–2.04 Å. There are one shorter (2.12 Å) and one longer (2.15 Å) Mn–F bond lengths. In the eighth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Mn–O bond distances ranging from 1.93–2.01 Å. There are a spread of Mn–F bond distances ranging from 2.01–2.15 Å. In the ninth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of corner and edge-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 46–62°. There are a spread of Mn–O bond distances ranging from 1.95–2.03 Å. There are one shorter (2.11 Å) and one longer (2.14 Å) Mn–F bond lengths. In the tenth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of Mn–O bond distances ranging from 1.88–2.00 Å. There are one shorter (1.98 Å) and one longer (2.06 Å) Mn–F bond lengths. In the eleventh Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of corner and edge-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 42–59°. There are a spread of Mn–O bond distances ranging from 1.87–2.00 Å. There are one shorter (1.98 Å) and one longer (2.05 Å) Mn–F bond lengths. In the twelfth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 43–63°. There are a spread of Mn–O bond distances ranging from 1.94–2.03 Å. There are a spread of Mn–F bond distances ranging from 2.00–2.14 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. There are ten inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the third F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the sixth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn3Bi by Materials Project

Mn3Bi is Uranium Silicide-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn sites. In the first Mn site, Mn is bonded to eight Mn and four Bi atoms to form distorted MnMn8Bi4 cuboctahedra that share corners with twelve MnMn8Bi4 cuboctahedra, edges with eight MnMn8Bi4 cuboctahedra, edges with eight BiMn12 cuboctahedra, faces with four BiMn12 cuboctahedra, and faces with ten MnMn8Bi4 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.82–2.94 Å. There are a spread of Mn–Bi bond distances ranging from 2.92–2.94 Å. In the second Mn site, Mn is bonded in a distorted square co-planar geometry to eight Mn and four Bi atoms. There are a spread of Mn–Mn bond distances ranging from 2.92–2.94 Å. There are two shorter (2.83 Å) and two longer (2.84 Å) Mn–Bi bond lengths. In the third Mn site, Mn is bonded in a distorted square co-planar geometry to eight Mn and four Bi atoms. There are a spread of Mn–Mn bond distances ranging from 2.92–2.94 Å. There are two shorter (2.83 Å) and two longer (2.84 Å) Mn–Bi bond lengths. In the fourth Mn site, Mn is bonded to eight Mn and four Bi atoms to form distorted MnMn8Bi4 cuboctahedra that share corners with twelve MnMn8Bi4 cuboctahedra, edges with eight MnMn8Bi4 cuboctahedra, edges with eight BiMn12 cuboctahedra, faces with four BiMn12 cuboctahedra, and faces with ten MnMn8Bi4 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.84–2.94 Å. There are a spread of Mn–Bi bond distances ranging from 2.92–2.94 Å. In the fifth Mn site, Mn is bonded in a distorted square co-planar geometry to eight Mn and four Bi atoms. There are a spread of Mn–Mn bond distances ranging from 2.92–2.94 Å. There are two shorter (2.83 Å) and two longer (2.84 Å) Mn–Bi bond lengths. In the sixth Mn site, Mn is bonded to eight Mn and four Bi atoms to form distorted MnMn8Bi4 cuboctahedra that share corners with twelve MnMn8Bi4 cuboctahedra, edges with eight MnMn8Bi4 cuboctahedra, edges with eight BiMn12 cuboctahedra, faces with four BiMn12 cuboctahedra, and faces with ten MnMn8Bi4 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.82–2.92 Å. There are a spread of Mn–Bi bond distances ranging from 2.92–2.94 Å. In the seventh Mn site, Mn is bonded to eight Mn and four Bi atoms to form distorted MnMn8Bi4 cuboctahedra that share corners with twelve MnMn8Bi4 cuboctahedra, edges with eight MnMn8Bi4 cuboctahedra, edges with eight BiMn12 cuboctahedra, faces with four BiMn12 cuboctahedra, and faces with ten MnMn8Bi4 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.83–2.95 Å. There are one shorter (2.92 Å) and three longer (2.93 Å) Mn–Bi bond lengths. In the eighth Mn site, Mn is bonded to eight Mn and four Bi atoms to form distorted MnMn8Bi4 cuboctahedra that share corners with twelve MnMn8Bi4 cuboctahedra, edges with eight MnMn8Bi4 cuboctahedra, edges with eight BiMn12 cuboctahedra, faces with four BiMn12 cuboctahedra, and faces with ten MnMn8Bi4 cuboctahedra. There are one shorter (2.83 Å) and one longer (2.84 Å) Mn–Mn bond lengths. There are a spread of Mn–Bi bond distances ranging from 2.92–2.94 Å. In the ninth Mn site, Mn is bonded to eight Mn and four Bi atoms to form distorted MnMn8Bi4 cuboctahedra that share corners with twelve MnMn8Bi4 cuboctahedra, edges with eight MnMn8Bi4 cuboctahedra, edges with eight BiMn12 cuboctahedra, faces with four BiMn12 cuboctahedra, and faces with ten MnMn8Bi4 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.83–2.93 Å. There are a spread of Mn–Bi bond distances ranging from 2.92–2.94 Å. In the tenth Mn site, Mn is bonded to eight Mn and four Bi atoms to form distorted MnMn8Bi4 cuboctahedra that share corners with twelve MnMn8Bi4 cuboctahedra, edges with eight MnMn8Bi4 cuboctahedra, edges with eight BiMn12 cuboctahedra, faces with four BiMn12 cuboctahedra, and faces with ten MnMn8Bi4 cuboctahedra. There are one shorter (2.92 Å) and one longer (2.93 Å) Mn–Mn bond lengths. There are a spread of Mn–Bi bond distances ranging from 2.92–2.94 Å. In the eleventh Mn site, Mn is bonded to eight Mn and four Bi atoms to form distorted MnMn8Bi4 cuboctahedra that share corners with twelve MnMn8Bi4 cuboctahedra, edges with eight MnMn8Bi4 cuboctahedra, edges with eight BiMn12 cuboctahedra, faces with four BiMn12 cuboctahedra, and faces with ten MnMn8Bi4 cuboctahedra. There are a spread of Mn–Bi bond distances ranging from 2.92–2.94 Å. In the twelfth Mn site, Mn is bonded in a distorted square co-planar geometry to eight Mn and four Bi atoms. There are one shorter (2.83 Å) and three longer (2.84 Å) Mn–Bi bond lengths. There are four inequivalent Bi sites. In the first Bi site, Bi is bonded to twelve Mn atoms to form BiMn12 cuboctahedra that share corners with four equivalent BiMn12 cuboctahedra, edges with eight BiMn12 cuboctahedra, edges with sixteen MnMn8Bi4 cuboctahedra, faces with four BiMn12 cuboctahedra, and faces with eight MnMn8Bi4 cuboctahedra. In the second Bi site, Bi is bonded to twelve Mn atoms to form BiMn12 cuboctahedra that share corners with four equivalent BiMn12 cuboctahedra, edges with eight BiMn12 cuboctahedra, edges with sixteen MnMn8Bi4 cuboctahedra, faces with four BiMn12 cuboctahedra, and faces with eight MnMn8Bi4 cuboctahedra. In the third Bi site, Bi is bonded to twelve Mn atoms to form BiMn12 cuboctahedra that share corners with four equivalent BiMn12 cuboctahedra, edges with eight BiMn12 cuboctahedra, edges with sixteen MnMn8Bi4 cuboctahedra, faces with four BiMn12 cuboctahedra, and faces with eight MnMn8Bi4 cuboctahedra. In the fourth Bi site, Bi is bonded to twelve Mn atoms to form BiMn12 cuboctahedra that share corners with four equivalent BiMn12 cuboctahedra, edges with eight BiMn12 cuboctahedra, edges with sixteen MnMn8Bi4 cuboctahedra, faces with four BiMn12 cuboctahedra, and faces with eight MnMn8Bi4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Nd(MnSn)6 by Materials Project

Nd(MnSn)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Nd sites. In the first Nd site, Nd is bonded to eight Sn atoms to form distorted edge-sharing NdSn8 hexagonal bipyramids. There are a spread of Nd–Sn bond distances ranging from 3.04–3.21 Å. In the second Nd site, Nd is bonded to eight Sn atoms to form distorted edge-sharing NdSn8 hexagonal bipyramids. There are a spread of Nd–Sn bond distances ranging from 3.04–3.21 Å. In the third Nd site, Nd is bonded to eight Sn atoms to form distorted edge-sharing NdSn8 hexagonal bipyramids. There are a spread of Nd–Sn bond distances ranging from 3.03–3.21 Å. There are eighteen inequivalent Mn sites. In the first Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.71–2.87 Å. In the second Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.75–2.86 Å. In the third Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.75–2.85 Å. In the fourth Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.76–2.87 Å. In the fifth Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.75–2.86 Å. In the sixth Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.75–2.86 Å. In the seventh Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.71–2.87 Å. In the eighth Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.74–2.86 Å. In the ninth Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.74–2.87 Å. In the tenth Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.76–2.86 Å. In the eleventh Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.74–2.86 Å. In the twelfth Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.74–2.87 Å. In the thirteenth Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.75–2.86 Å. In the fourteenth Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.72–2.86 Å. In the fifteenth Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.75–2.86 Å. In the sixteenth Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.72–2.86 Å. In the seventeenth Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.75–2.87 Å. In the eighteenth Mn site, Mn is bonded in a 12-coordinate geometry to six Sn atoms. There are a spread of Mn–Sn bond distances ranging from 2.74–2.87 Å. There are eighteen inequivalent Sn sites. In the first Sn site, Sn is bonded in a 8-coordinate geometry to one Nd, six Mn, and one Sn atom. The Sn–Sn bond length is 2.99 Å. In the second Sn site, Sn is bonded in a 12-coordinate geometry to three Nd and six Mn atoms. In the third Sn site, Sn is bonded in a 12-coordinate geometry to three Nd and six Mn atoms. In the fourth Sn site, Sn is bonded in a 8-coordinate geometry to two equivalent Nd and six Mn atoms. In the fifth Sn site, Sn is bonded in a 6-coordinate geometry to six Mn atoms. In the sixth Sn site, Sn is bonded in a 6-coordinate geometry to six Mn atoms. In the seventh Sn site, Sn is bonded in a 7-coordinate geometry to one Nd and six Mn atoms. In the eighth Sn site, Sn is bonded in a 6-coordinate geometry to six Mn atoms. In the ninth Sn site, Sn is bonded in a 7-coordinate geometry to one Nd and six Mn atoms. In the tenth Sn site, Sn is bonded in a 8-coordinate geometry to one Nd, six Mn, and one Sn atom. The Sn–Sn bond length is 2.97 Å. In the eleventh Sn site, Sn is bonded in a 12-coordinate geometry to three Nd and six Mn atoms. In the twelfth Sn site, Sn is bonded in a 8-coordinate geometry to one Nd, six Mn, and one Sn atom. The Sn–Sn bond length is 2.98 Å. In the thirteenth Sn site, Sn is bonded in a 12-coordinate geometry to three Nd and six Mn atoms. In the fourteenth Sn site, Sn is bonded in a 8-coordinate geometry to one Nd, six Mn, and one Sn atom. In the fifteenth Sn site, Sn is bonded in a 8-coordinate geometry to two equivalent Nd and six Mn atoms. In the sixteenth Sn site, Sn is bonded in a 8-coordinate geometry to one Nd, six Mn, and one Sn atom. In the seventeenth Sn site, Sn is bonded in a 6-coordinate geometry to six Mn atoms. In the eighteenth Sn site, Sn is bonded in a 8-coordinate geometry to one Nd, six Mn, and one Sn atom.

36 MATERIALS SCIENCE↗

Materials Data on CaNdMn2O6 by Materials Project

CaNdMn2O6 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Ca2+ sites. In the first Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.80 Å. In the second Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.83 Å. In the third Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.81 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.83 Å. In the fifth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.80 Å. In the sixth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.80 Å. There are six inequivalent Nd3+ sites. In the first Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.78 Å. In the second Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.77 Å. In the third Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.71 Å. In the fourth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.74 Å. In the fifth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.71 Å. In the sixth Nd3+ site, Nd3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.81 Å. There are twelve inequivalent Mn+3.50+ sites. In the first Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–26°. There are a spread of Mn–O bond distances ranging from 1.96–2.00 Å. In the second Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–29°. There are a spread of Mn–O bond distances ranging from 1.94–1.99 Å. In the third Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–27°. There are a spread of Mn–O bond distances ranging from 1.97–2.01 Å. In the fourth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 22–29°. There are a spread of Mn–O bond distances ranging from 1.93–2.03 Å. In the fifth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–29°. There are a spread of Mn–O bond distances ranging from 1.94–1.99 Å. In the sixth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 22–29°. There are a spread of Mn–O bond distances ranging from 1.93–2.02 Å. In the seventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–29°. There are a spread of Mn–O bond distances ranging from 1.93–2.02 Å. In the eighth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Mn–O bond distances ranging from 1.96–2.00 Å. In the ninth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 22–29°. There are a spread of Mn–O bond distances ranging from 1.93–2.03 Å. In the tenth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Mn–O bond distances ranging from 1.96–2.00 Å. In the eleventh Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 22–29°. There are a spread of Mn–O bond distances ranging from 1.92–2.02 Å. In the twelfth Mn+3.50+ site, Mn+3.50+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–29°. There are a spread of Mn–O bond distances ranging from 1.93–2.01 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the second O2- site, O2- is bonded to two Ca2+ and two Mn+3.50+ atoms to form distorted corner-sharing OCa2Mn2 tetrahedra. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Mn+3.50+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Nd3+, and two Mn+3.50+ atoms. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Nd3+, and two Mn+3.50+ atoms. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Nd3+, and two Mn+3.50+ atoms. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Nd3+, and two Mn+3.50+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Nd3+, and two Mn+3.50+ atoms. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to three Nd3+ and two Mn+3.50+ atoms. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Nd3+, and two Mn+3.50+ atoms. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Nd3+, and two Mn+3.50+ atoms. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Nd3+, and two Mn+3.50+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the seventeenth O2- site, O2- is bonded to two Ca2+ and two Mn+3.50+ atoms to form distorted corner-sharing OCa2Mn2 tetrahedra. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Ca2+ and two Mn+3.50+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Mn+3.50+ atoms. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Mn+3.50+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to three Ca2+ and two Mn+3.50+ atoms. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Nd3+, and two Mn+3.50+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Nd3+, and two Mn+3.50+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Nd3+, and two Mn+3.50+ atoms. In the thirtieth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the thirty-first O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the thirty-second O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the thirty-third O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Mn+3.50+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Nd3+, and two Mn+3.50+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to two Nd3+ and two Mn+3.50+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn6O7F5 by Materials Project

Mn6O7F5 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+3.17+ sites. In the first Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of distorted edge and corner-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 46–63°. There are a spread of Mn–O bond distances ranging from 1.94–1.99 Å. There are one shorter (2.10 Å) and two longer (2.18 Å) Mn–F bond lengths. In the second Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 46–60°. There are a spread of Mn–O bond distances ranging from 1.94–2.09 Å. There are one shorter (2.12 Å) and one longer (2.25 Å) Mn–F bond lengths. In the third Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–63°. There is two shorter (1.97 Å) and one longer (2.01 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.08–2.12 Å. In the fourth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Mn–O bond distances ranging from 1.92–2.05 Å. There are one shorter (1.97 Å) and one longer (2.19 Å) Mn–F bond lengths. In the fifth Mn+3.17+ site, Mn+3.17+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–59°. There is one shorter (1.94 Å) and one longer (1.97 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.02–2.12 Å. In the sixth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 44–63°. There is one shorter (1.92 Å) and two longer (1.97 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.02–2.12 Å. In the seventh Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. There is two shorter (1.95 Å) and two longer (2.01 Å) Mn–O bond length. Both Mn–F bond lengths are 2.17 Å. In the eighth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 44–63°. There is three shorter (1.96 Å) and one longer (2.03 Å) Mn–O bond length. There are one shorter (2.11 Å) and one longer (2.15 Å) Mn–F bond lengths. In the ninth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 43–63°. There is two shorter (1.89 Å) and two longer (1.96 Å) Mn–O bond length. There are one shorter (1.97 Å) and one longer (2.03 Å) Mn–F bond lengths. In the tenth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 44–63°. There are a spread of Mn–O bond distances ranging from 1.93–2.03 Å. There are a spread of Mn–F bond distances ranging from 1.99–2.14 Å. In the eleventh Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 46–61°. There are a spread of Mn–O bond distances ranging from 1.89–1.94 Å. There are one shorter (2.03 Å) and one longer (2.04 Å) Mn–F bond lengths. In the twelfth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 43–59°. There are a spread of Mn–O bond distances ranging from 1.86–2.00 Å. There are one shorter (2.01 Å) and one longer (2.03 Å) Mn–F bond lengths. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. There are ten inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the third F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O5F19 by Materials Project

Mn12O5F19 is Hydrophilite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.42+ sites. In the first Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. The Mn–O bond length is 1.95 Å. There are a spread of Mn–F bond distances ranging from 2.10–2.19 Å. In the second Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of distorted edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. The Mn–O bond length is 2.05 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.26 Å. In the third Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–58°. There is one shorter (1.98 Å) and one longer (2.00 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.26 Å. In the fourth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. The Mn–O bond length is 1.96 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.18 Å. In the fifth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. The Mn–O bond length is 2.01 Å. There are a spread of Mn–F bond distances ranging from 2.12–2.24 Å. In the sixth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. The Mn–O bond length is 2.04 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.25 Å. In the seventh Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. The Mn–O bond length is 2.00 Å. There are a spread of Mn–F bond distances ranging from 2.09–2.23 Å. In the eighth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of distorted edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. The Mn–O bond length is 2.03 Å. There are a spread of Mn–F bond distances ranging from 2.03–2.27 Å. In the ninth Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form distorted MnOF5 octahedra that share corners with eight MnOF5 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. The Mn–O bond length is 2.07 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.27 Å. In the tenth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There is one shorter (1.97 Å) and one longer (2.01 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.03–2.25 Å. In the eleventh Mn+2.42+ site, Mn+2.42+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. The Mn–O bond length is 1.89 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.25 Å. In the twelfth Mn+2.42+ site, Mn+2.42+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 44–59°. There is one shorter (1.90 Å) and one longer (1.91 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.28 Å. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. There are nineteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the thirteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.42+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the sixteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the seventeenth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.42+ atoms. In the eighteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms. In the nineteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.42+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O7F17 by Materials Project

Mn12O7F17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.58+ sites. In the first Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with six MnO2F4 octahedra and an edgeedge with one MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 43–56°. The Mn–O bond length is 1.88 Å. There are a spread of Mn–F bond distances ranging from 2.01–2.16 Å. In the second Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with four MnOF5 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 40–53°. There is one shorter (1.91 Å) and one longer (1.92 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 1.99–2.24 Å. In the third Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. The Mn–O bond length is 1.99 Å. There are a spread of Mn–F bond distances ranging from 2.03–2.24 Å. In the fourth Mn+2.58+ site, Mn+2.58+ is bonded in a 6-coordinate geometry to one O2- and five F1- atoms. The Mn–O bond length is 2.15 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.34 Å. In the fifth Mn+2.58+ site, Mn+2.58+ is bonded in a 5-coordinate geometry to three O2- and two F1- atoms. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. There are one shorter (2.10 Å) and one longer (2.13 Å) Mn–F bond lengths. In the sixth Mn+2.58+ site, Mn+2.58+ is bonded in a 7-coordinate geometry to one O2- and six F1- atoms. The Mn–O bond length is 2.09 Å. There are a spread of Mn–F bond distances ranging from 2.10–2.58 Å. In the seventh Mn+2.58+ site, Mn+2.58+ is bonded in a 6-coordinate geometry to three O2- and three F1- atoms. There are a spread of Mn–O bond distances ranging from 1.97–2.03 Å. There are a spread of Mn–F bond distances ranging from 2.08–2.55 Å. In the eighth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with six MnOF5 octahedra and an edgeedge with one MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 43–56°. There is one shorter (1.93 Å) and one longer (1.96 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.27 Å. In the ninth Mn+2.58+ site, Mn+2.58+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with two equivalent MnOF5 octahedra, a cornercorner with one MnO2F4 pentagonal pyramid, and an edgeedge with one MnO2F4 pentagonal pyramid. The corner-sharing octahedra tilt angles range from 52–56°. There are a spread of Mn–O bond distances ranging from 1.95–2.01 Å. There are a spread of Mn–F bond distances ranging from 2.03–2.21 Å. In the tenth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form distorted MnO2F4 pentagonal pyramids that share corners with three MnOF5 octahedra and an edgeedge with one MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 41–66°. There are one shorter (2.05 Å) and one longer (2.18 Å) Mn–O bond lengths. There are a spread of Mn–F bond distances ranging from 2.06–2.25 Å. In the eleventh Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with four equivalent MnOF5 octahedra, a cornercorner with one MnO2F4 pentagonal pyramid, and an edgeedge with one MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There is one shorter (1.94 Å) and one longer (1.95 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 1.96–2.29 Å. In the twelfth Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form distorted MnOF5 octahedra that share corners with four MnO3F3 octahedra and an edgeedge with one MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 46–56°. The Mn–O bond length is 2.08 Å. There are a spread of Mn–F bond distances ranging from 1.99–2.24 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted tetrahedral geometry to four Mn+2.58+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the seventh O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.58+ atoms. There are seventeen inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the third F1- site, F1- is bonded in a distorted bent 150 degrees geometry to two Mn+2.58+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the eleventh F1- site, F1- is bonded in a 2-coordinate geometry to three Mn+2.58+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to three Mn+2.58+ atoms. In the thirteenth F1- site, F1- is bonded in a 2-coordinate geometry to three Mn+2.58+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the sixteenth F1- site, F1- is bonded in a distorted trigonal non-coplanar geometry to three Mn+2.58+ atoms. In the seventeenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn6O7F5 by Materials Project

Mn6O7F5 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+3.17+ sites. In the first Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. There are a spread of Mn–O bond distances ranging from 1.95–1.98 Å. There are a spread of Mn–F bond distances ranging from 2.03–2.12 Å. In the second Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of Mn–O bond distances ranging from 1.91–2.06 Å. There are one shorter (2.01 Å) and one longer (2.22 Å) Mn–F bond lengths. In the third Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 41–62°. There are a spread of Mn–O bond distances ranging from 1.95–2.01 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.14 Å. In the fourth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 44–60°. There is two shorter (1.93 Å) and one longer (2.01 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.00–2.25 Å. In the fifth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Mn–O bond distances ranging from 1.95–2.06 Å. There are one shorter (2.11 Å) and one longer (2.20 Å) Mn–F bond lengths. In the sixth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There is one shorter (1.94 Å) and two longer (1.95 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.01–2.19 Å. In the seventh Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 47–60°. There are a spread of Mn–O bond distances ranging from 1.94–2.01 Å. There are a spread of Mn–F bond distances ranging from 2.01–2.17 Å. In the eighth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. There are one shorter (2.08 Å) and one longer (2.20 Å) Mn–F bond lengths. In the ninth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 41–59°. There are a spread of Mn–O bond distances ranging from 1.88–2.00 Å. There are one shorter (1.99 Å) and one longer (2.04 Å) Mn–F bond lengths. In the tenth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of corner and edge-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 45–62°. There are a spread of Mn–O bond distances ranging from 1.96–2.00 Å. There are one shorter (2.08 Å) and one longer (2.15 Å) Mn–F bond lengths. In the eleventh Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 46–59°. There are a spread of Mn–O bond distances ranging from 1.96–2.05 Å. There are one shorter (2.09 Å) and one longer (2.11 Å) Mn–F bond lengths. In the twelfth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There are a spread of Mn–O bond distances ranging from 1.89–1.92 Å. There are two shorter (2.05 Å) and one longer (2.10 Å) Mn–F bond lengths. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.17+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. There are ten inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the third F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the sixth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O7F17 by Materials Project

Mn12O7F17 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.58+ sites. In the first Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There is one shorter (1.97 Å) and one longer (2.02 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.07–2.16 Å. In the second Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnOF5 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–60°. The Mn–O bond length is 2.06 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.24 Å. In the third Mn+2.58+ site, Mn+2.58+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 42–60°. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. There are a spread of Mn–F bond distances ranging from 2.04–2.33 Å. In the fourth Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. The Mn–O bond length is 1.94 Å. There are a spread of Mn–F bond distances ranging from 2.04–2.23 Å. In the fifth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. There is one shorter (1.94 Å) and one longer (2.00 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.07–2.23 Å. In the sixth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with four MnO2F4 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–51°. There is one shorter (1.98 Å) and one longer (2.00 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.17 Å. In the seventh Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–59°. The Mn–O bond length is 1.99 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.18 Å. In the eighth Mn+2.58+ site, Mn+2.58+ is bonded in a 6-coordinate geometry to two O2- and four F1- atoms. There are one shorter (2.00 Å) and one longer (2.02 Å) Mn–O bond lengths. There are a spread of Mn–F bond distances ranging from 2.05–2.56 Å. In the ninth Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form a mixture of distorted edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 42–60°. The Mn–O bond length is 2.04 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.24 Å. In the tenth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. There is one shorter (1.93 Å) and one longer (1.97 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.03–2.20 Å. In the eleventh Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. Both Mn–O bond lengths are 1.98 Å. There are a spread of Mn–F bond distances ranging from 2.02–2.25 Å. In the twelfth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There is one shorter (1.92 Å) and one longer (1.96 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.05–2.27 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.58+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. There are seventeen inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the sixth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.58+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the thirteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fourteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the sixteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn6O5F7 by Materials Project

Mn6O5F7 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.83+ sites. In the first Mn+2.83+ site, Mn+2.83+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 44–61°. There is one shorter (1.98 Å) and one longer (1.99 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.16 Å. In the second Mn+2.83+ site, Mn+2.83+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. Both Mn–O bond lengths are 1.91 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.16 Å. In the third Mn+2.83+ site, Mn+2.83+ is bonded to three O2- and three F1- atoms to form distorted MnO3F3 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 48–58°. There are a spread of Mn–O bond distances ranging from 2.04–2.06 Å. There are a spread of Mn–F bond distances ranging from 2.09–2.35 Å. In the fourth Mn+2.83+ site, Mn+2.83+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 49–60°. There are a spread of Mn–O bond distances ranging from 1.98–2.02 Å. There are one shorter (2.09 Å) and two longer (2.18 Å) Mn–F bond lengths. In the fifth Mn+2.83+ site, Mn+2.83+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 43–59°. There is one shorter (1.96 Å) and one longer (2.00 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.08–2.16 Å. In the sixth Mn+2.83+ site, Mn+2.83+ is bonded to one O2- and five F1- atoms to form a mixture of corner and edge-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. The Mn–O bond length is 2.03 Å. There are a spread of Mn–F bond distances ranging from 2.01–2.19 Å. In the seventh Mn+2.83+ site, Mn+2.83+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. There is one shorter (1.89 Å) and one longer (1.93 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 1.99–2.26 Å. In the eighth Mn+2.83+ site, Mn+2.83+ is bonded to two O2- and four F1- atoms to form a mixture of corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There is one shorter (1.96 Å) and one longer (1.98 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 1.97–2.20 Å. In the ninth Mn+2.83+ site, Mn+2.83+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. There are a spread of Mn–F bond distances ranging from 2.02–2.23 Å. In the tenth Mn+2.83+ site, Mn+2.83+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There are a spread of Mn–O bond distances ranging from 1.97–2.01 Å. There are a spread of Mn–F bond distances ranging from 2.04–2.20 Å. In the eleventh Mn+2.83+ site, Mn+2.83+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–61°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. There are a spread of Mn–F bond distances ranging from 2.00–2.30 Å. In the twelfth Mn+2.83+ site, Mn+2.83+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 49–58°. There are a spread of Mn–O bond distances ranging from 1.91–2.06 Å. There are one shorter (2.00 Å) and one longer (2.46 Å) Mn–F bond lengths. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. There are fourteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the sixth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the twelfth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the thirteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the fourteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn6O7F5 by Materials Project

Mn6O7F5 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+3.17+ sites. In the first Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–63°. There are a spread of Mn–O bond distances ranging from 1.98–2.00 Å. There are two shorter (2.09 Å) and one longer (2.17 Å) Mn–F bond lengths. In the second Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of distorted edge and corner-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 42–60°. There is two shorter (1.95 Å) and one longer (2.04 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.14–2.23 Å. In the third Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 39–63°. There is one shorter (1.95 Å) and two longer (1.98 Å) Mn–O bond length. There are two shorter (2.10 Å) and one longer (2.12 Å) Mn–F bond lengths. In the fourth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of distorted edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Mn–O bond distances ranging from 1.92–2.09 Å. There are one shorter (2.08 Å) and one longer (2.26 Å) Mn–F bond lengths. In the fifth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO5F octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 46–57°. There are a spread of Mn–O bond distances ranging from 1.96–2.02 Å. There are a spread of Mn–F bond distances ranging from 2.01–2.08 Å. In the sixth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There are a spread of Mn–O bond distances ranging from 1.87–1.93 Å. There are a spread of Mn–F bond distances ranging from 1.99–2.13 Å. In the seventh Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO5F octahedra. The corner-sharing octahedra tilt angles range from 48–60°. There are a spread of Mn–O bond distances ranging from 1.95–2.04 Å. There are one shorter (2.02 Å) and one longer (2.07 Å) Mn–F bond lengths. In the eighth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. There are a spread of Mn–O bond distances ranging from 1.91–1.95 Å. There are one shorter (2.09 Å) and one longer (2.19 Å) Mn–F bond lengths. In the ninth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 39–63°. There are a spread of Mn–O bond distances ranging from 1.87–1.93 Å. There are a spread of Mn–F bond distances ranging from 2.00–2.09 Å. In the tenth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 43–63°. There are a spread of Mn–O bond distances ranging from 1.95–2.00 Å. There are one shorter (2.12 Å) and one longer (2.20 Å) Mn–F bond lengths. In the eleventh Mn+3.17+ site, Mn+3.17+ is bonded to five O2- and one F1- atom to form a mixture of edge and corner-sharing MnO5F octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There are a spread of Mn–O bond distances ranging from 1.90–1.99 Å. The Mn–F bond length is 2.13 Å. In the twelfth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 46–60°. There is one shorter (1.91 Å) and two longer (1.98 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.03–2.11 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. There are ten inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O7F17 by Materials Project

Mn12O7F17 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.58+ sites. In the first Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 43–58°. There is one shorter (1.94 Å) and one longer (1.95 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.06–2.21 Å. In the second Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 46–61°. There is one shorter (1.97 Å) and one longer (2.00 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.06–2.15 Å. In the third Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–56°. Both Mn–O bond lengths are 1.93 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.21 Å. In the fourth Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. The Mn–O bond length is 1.99 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.20 Å. In the fifth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnOF5 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 45–55°. There is one shorter (1.94 Å) and one longer (1.95 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.20 Å. In the sixth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 42–58°. There is one shorter (1.96 Å) and one longer (2.00 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.22 Å. In the seventh Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 48–55°. The Mn–O bond length is 2.06 Å. There are a spread of Mn–F bond distances ranging from 2.08–2.18 Å. In the eighth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of distorted edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. Both Mn–O bond lengths are 1.99 Å. There are a spread of Mn–F bond distances ranging from 2.07–2.31 Å. In the ninth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 46–61°. There are one shorter (2.12 Å) and one longer (2.26 Å) Mn–O bond lengths. There are a spread of Mn–F bond distances ranging from 2.09–2.16 Å. In the tenth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. There is one shorter (1.91 Å) and one longer (1.97 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.06–2.20 Å. In the eleventh Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form a mixture of edge and corner-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 43–57°. The Mn–O bond length is 1.99 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.26 Å. In the twelfth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. There is one shorter (1.95 Å) and one longer (1.97 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.12–2.22 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.58+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.58+ atoms. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. There are seventeen inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the second F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fourth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixth F1- site, F1- is bonded in a trigonal planar geometry to three Mn+2.58+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the eighth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the eleventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the twelfth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the thirteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fourteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the fifteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn6O7F5 by Materials Project

Mn6O7F5 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+3.17+ sites. In the first Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–59°. There are a spread of Mn–O bond distances ranging from 1.92–2.05 Å. There are one shorter (2.00 Å) and one longer (2.19 Å) Mn–F bond lengths. In the second Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 42–62°. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. There are a spread of Mn–F bond distances ranging from 2.08–2.11 Å. In the third Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Mn–O bond distances ranging from 1.94–2.06 Å. There are one shorter (1.97 Å) and one longer (2.20 Å) Mn–F bond lengths. In the fourth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of corner and edge-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 46–64°. There are a spread of Mn–O bond distances ranging from 1.93–2.11 Å. There are one shorter (2.03 Å) and one longer (2.23 Å) Mn–F bond lengths. In the fifth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–58°. There is two shorter (1.96 Å) and one longer (1.98 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.02–2.10 Å. In the sixth Mn+3.17+ site, Mn+3.17+ is bonded to two O2- and four F1- atoms to form a mixture of corner and edge-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. There is one shorter (1.91 Å) and one longer (1.93 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 1.97–2.13 Å. In the seventh Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of corner and edge-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 46–60°. There are a spread of Mn–O bond distances ranging from 1.95–2.03 Å. There are one shorter (2.09 Å) and one longer (2.10 Å) Mn–F bond lengths. In the eighth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. There are a spread of Mn–F bond distances ranging from 2.06–2.12 Å. In the ninth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of corner and edge-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 47–62°. There are a spread of Mn–O bond distances ranging from 1.95–2.02 Å. There are one shorter (2.09 Å) and one longer (2.13 Å) Mn–F bond lengths. In the tenth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 43–59°. There are a spread of Mn–O bond distances ranging from 1.87–2.00 Å. There are one shorter (1.99 Å) and one longer (2.07 Å) Mn–F bond lengths. In the eleventh Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of corner and edge-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 42–58°. There are a spread of Mn–O bond distances ranging from 1.87–2.00 Å. There are one shorter (1.98 Å) and one longer (2.05 Å) Mn–F bond lengths. In the twelfth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 47–64°. There is one shorter (1.91 Å) and two longer (2.01 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.02–2.16 Å. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.17+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. There are ten inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the sixth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn12O7F17 by Materials Project

Mn12O7F17 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.58+ sites. In the first Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form distorted MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and an edgeedge with one MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There is one shorter (1.92 Å) and one longer (1.94 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 1.97–2.29 Å. In the second Mn+2.58+ site, Mn+2.58+ is bonded to three O2- and three F1- atoms to form a mixture of distorted corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 42–64°. There are a spread of Mn–O bond distances ranging from 1.91–2.04 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.44 Å. In the third Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with six MnOF5 octahedra and an edgeedge with one MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. The Mn–O bond length is 1.96 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.16 Å. In the fourth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form distorted MnO2F4 octahedra that share corners with six MnO3F3 octahedra and edges with two equivalent MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There is one shorter (1.97 Å) and one longer (1.99 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.08–2.38 Å. In the fifth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with six MnO2F4 octahedra and edges with two equivalent MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 39–63°. There is one shorter (1.91 Å) and one longer (1.96 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 1.93–2.21 Å. In the sixth Mn+2.58+ site, Mn+2.58+ is bonded in a 7-coordinate geometry to one O2- and six F1- atoms. The Mn–O bond length is 2.30 Å. There are a spread of Mn–F bond distances ranging from 2.09–2.71 Å. In the seventh Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and an edgeedge with one MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 41–64°. There are one shorter (2.02 Å) and one longer (2.05 Å) Mn–O bond lengths. There are a spread of Mn–F bond distances ranging from 1.97–2.25 Å. In the eighth Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form a mixture of corner and edge-sharing MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 42–57°. The Mn–O bond length is 1.93 Å. There are a spread of Mn–F bond distances ranging from 1.98–2.23 Å. In the ninth Mn+2.58+ site, Mn+2.58+ is bonded to three O2- and three F1- atoms to form a mixture of distorted corner and edge-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 38–60°. There is two shorter (1.93 Å) and one longer (2.00 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 1.97–2.30 Å. In the tenth Mn+2.58+ site, Mn+2.58+ is bonded to one O2- and five F1- atoms to form MnOF5 octahedra that share corners with six MnO3F3 octahedra and edges with two equivalent MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 39–63°. The Mn–O bond length is 1.94 Å. There are a spread of Mn–F bond distances ranging from 2.00–2.30 Å. In the eleventh Mn+2.58+ site, Mn+2.58+ is bonded in a 7-coordinate geometry to two O2- and five F1- atoms. There is one shorter (1.94 Å) and one longer (1.99 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.12–2.52 Å. In the twelfth Mn+2.58+ site, Mn+2.58+ is bonded to two O2- and four F1- atoms to form distorted MnO2F4 octahedra that share corners with six MnO3F3 octahedra and an edgeedge with one MnOF5 octahedra. The corner-sharing octahedra tilt angles range from 38–60°. Both Mn–O bond lengths are 2.12 Å. There are a spread of Mn–F bond distances ranging from 2.14–2.30 Å. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the third O2- site, O2- is bonded in a distorted tetrahedral geometry to four Mn+2.58+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. There are seventeen inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted bent 120 degrees geometry to three Mn+2.58+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the third F1- site, F1- is bonded in a 2-coordinate geometry to three Mn+2.58+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the fifth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the sixth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the seventh F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the tenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.58+ atoms. In the eleventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the twelfth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the thirteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the fourteenth F1- site, F1- is bonded in a 2-coordinate geometry to three Mn+2.58+ atoms. In the fifteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.58+ atoms. In the sixteenth F1- site, F1- is bonded in a distorted bent 150 degrees geometry to three Mn+2.58+ atoms. In the seventeenth F1- site, F1- is bonded in a distorted rectangular see-saw-like geometry to four Mn+2.58+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mn6O5F7 by Materials Project

Mn6O5F7 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+2.83+ sites. In the first Mn+2.83+ site, Mn+2.83+ is bonded to three O2- and three F1- atoms to form distorted MnO3F3 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 41–57°. There are a spread of Mn–O bond distances ranging from 1.92–2.05 Å. There are a spread of Mn–F bond distances ranging from 2.03–2.35 Å. In the second Mn+2.83+ site, Mn+2.83+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 50–56°. There are one shorter (1.99 Å) and one longer (2.05 Å) Mn–O bond lengths. There are a spread of Mn–F bond distances ranging from 2.06–2.15 Å. In the third Mn+2.83+ site, Mn+2.83+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 40–57°. There is one shorter (1.90 Å) and one longer (1.93 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.03–2.15 Å. In the fourth Mn+2.83+ site, Mn+2.83+ is bonded to three O2- and three F1- atoms to form a mixture of distorted edge and corner-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 44–64°. There are two shorter (2.03 Å) and one longer (2.05 Å) Mn–O bond lengths. There are a spread of Mn–F bond distances ranging from 2.12–2.45 Å. In the fifth Mn+2.83+ site, Mn+2.83+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 44–58°. There is one shorter (1.91 Å) and one longer (1.92 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.02–2.24 Å. In the sixth Mn+2.83+ site, Mn+2.83+ is bonded to two O2- and four F1- atoms to form MnO2F4 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 47–56°. There are one shorter (1.99 Å) and one longer (2.03 Å) Mn–O bond lengths. There are a spread of Mn–F bond distances ranging from 2.06–2.35 Å. In the seventh Mn+2.83+ site, Mn+2.83+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 41–58°. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. There are two shorter (2.12 Å) and one longer (2.18 Å) Mn–F bond lengths. In the eighth Mn+2.83+ site, Mn+2.83+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 40–58°. There are a spread of Mn–O bond distances ranging from 1.90–1.94 Å. There are a spread of Mn–F bond distances ranging from 2.00–2.20 Å. In the ninth Mn+2.83+ site, Mn+2.83+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 49–56°. There is one shorter (1.96 Å) and two longer (1.99 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.05–2.20 Å. In the tenth Mn+2.83+ site, Mn+2.83+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO2F4 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 45–57°. There is two shorter (1.94 Å) and one longer (1.97 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.23 Å. In the eleventh Mn+2.83+ site, Mn+2.83+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 48–57°. There is one shorter (1.92 Å) and one longer (1.94 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.04–2.19 Å. In the twelfth Mn+2.83+ site, Mn+2.83+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 44–64°. There is one shorter (1.92 Å) and one longer (1.95 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.03–2.21 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the second O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.83+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.83+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+2.83+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. There are fourteen inequivalent F1- sites. In the first F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the sixth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the ninth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the eleventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the twelfth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms. In the thirteenth F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+2.83+ atoms. In the fourteenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+2.83+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 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 distorted LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.09 Å. In the second 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 MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.95–2.14 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.87–2.10 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with three MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.42 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.29 Å. There are twelve inequivalent Mn+2.50+ sites. In the first 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 2.03–2.33 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.27 Å. In the third 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 and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.90–2.21 Å. In the fourth 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 and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.12 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.22 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.23 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.99–2.03 Å. In the eighth 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, an edgeedge with one LiO4 tetrahedra, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.01–2.58 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.10 Å. In the tenth 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 and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.95–2.12 Å. In the eleventh 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, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.38 Å. In the twelfth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.98–2.10 Å. There are twelve inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.42 Å) B–O bond length. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.34 Å) and two longer (1.41 Å) B–O bond length. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.40 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.33–1.44 Å. In the eleventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.40 Å) B–O bond length. In the twelfth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.43 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the second O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the sixth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+2.50+ and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share a cornercorner with one OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.50+, and one B3+ atom to form distorted edge-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded to two Li1+, one Mn+2.50+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the thirty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the thirty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn6O7F5 by Materials Project

Mn6O7F5 is zeta iron carbide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mn+3.17+ sites. In the first Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 41–61°. There are a spread of Mn–O bond distances ranging from 1.95–2.03 Å. There are two shorter (2.11 Å) and one longer (2.14 Å) Mn–F bond lengths. In the second Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 44–64°. There are a spread of Mn–O bond distances ranging from 1.92–2.00 Å. There are a spread of Mn–F bond distances ranging from 2.01–2.13 Å. In the third Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form distorted MnO4F2 octahedra that share corners with eight MnO4F2 octahedra and edges with two MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 44–56°. There are a spread of Mn–O bond distances ranging from 1.91–2.07 Å. There are one shorter (1.96 Å) and one longer (2.25 Å) Mn–F bond lengths. In the fourth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 43–61°. There are a spread of Mn–O bond distances ranging from 1.90–2.06 Å. There are one shorter (2.01 Å) and one longer (2.21 Å) Mn–F bond lengths. In the fifth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 46–58°. There are a spread of Mn–O bond distances ranging from 1.93–2.05 Å. There are one shorter (2.08 Å) and one longer (2.19 Å) Mn–F bond lengths. In the sixth Mn+3.17+ site, Mn+3.17+ is bonded to two O2- and four F1- atoms to form a mixture of edge and corner-sharing MnO2F4 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. Both Mn–O bond lengths are 1.96 Å. There are a spread of Mn–F bond distances ranging from 2.05–2.14 Å. In the seventh Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 41–60°. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. There are one shorter (1.98 Å) and one longer (2.04 Å) Mn–F bond lengths. In the eighth Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form a mixture of edge and corner-sharing MnO3F3 octahedra. The corner-sharing octahedra tilt angles range from 43–60°. There is one shorter (1.94 Å) and two longer (1.97 Å) Mn–O bond length. There are a spread of Mn–F bond distances ranging from 2.07–2.15 Å. In the ninth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 46–64°. There are a spread of Mn–O bond distances ranging from 1.96–2.05 Å. There are one shorter (2.10 Å) and one longer (2.13 Å) Mn–F bond lengths. In the tenth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form MnO4F2 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 43–59°. There are a spread of Mn–O bond distances ranging from 1.87–2.00 Å. There are one shorter (2.00 Å) and one longer (2.06 Å) Mn–F bond lengths. In the eleventh Mn+3.17+ site, Mn+3.17+ is bonded to three O2- and three F1- atoms to form MnO3F3 octahedra that share corners with eight MnO3F3 octahedra and edges with two MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 44–61°. There are a spread of Mn–O bond distances ranging from 1.93–2.01 Å. There are a spread of Mn–F bond distances ranging from 1.99–2.15 Å. In the twelfth Mn+3.17+ site, Mn+3.17+ is bonded to four O2- and two F1- atoms to form a mixture of edge and corner-sharing MnO4F2 octahedra. The corner-sharing octahedra tilt angles range from 48–61°. There are a spread of Mn–O bond distances ranging from 1.88–2.00 Å. There are one shorter (2.05 Å) and one longer (2.08 Å) Mn–F bond lengths. There are fourteen inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the third O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.17+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. There are ten inequivalent F1- sites. In the first F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the second F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the third F1- site, F1- is bonded in a distorted trigonal planar geometry to three Mn+3.17+ atoms. In the fourth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the fifth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the sixth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the seventh F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the eighth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the ninth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms. In the tenth F1- site, F1- is bonded in a 3-coordinate geometry to three Mn+3.17+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on LiMn2(BO3)2 by Materials Project

LiMn2(BO3)2 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 distorted LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.35 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.90–2.15 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.13 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.89–2.24 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.23 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with three MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.10 Å. There are twelve inequivalent Mn+2.50+ sites. In the first Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.94–2.09 Å. In the second Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.24 Å. In the third Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.24 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 2.03–2.54 Å. In the fifth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share an edgeedge with one LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.96–2.04 Å. In the sixth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.01–2.30 Å. In the seventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.11 Å. In the eighth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.96–2.21 Å. In the ninth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.15 Å. In the tenth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, edges with two MnO5 trigonal bipyramids, and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 2.00–2.18 Å. In the eleventh Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO4 trigonal pyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.97–2.08 Å. In the twelfth Mn+2.50+ site, Mn+2.50+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 trigonal pyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.25 Å. There are twelve inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.43 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.44 Å. In the sixth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.43 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.41 Å. In the eleventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.34–1.42 Å. In the twelfth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.36–1.45 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.50+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted tetrahedral geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.50+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.50+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the thirty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.50+, and one B3+ atom. In the thirty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.50+, and one B3+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.50+, and one B3+ atom.

36 MATERIALS SCIENCE↗