Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “Mn”

Search indexed NASA NTRS and DOE OSTI research on propulsion, heat transfer, battery materials and energy systems. Follow report and document links to the original sources.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 1,171 records · Page 65

Materials Data on Ca6Pr6Mn11CrO36 by Materials Project

Ca6Pr6CrMn11O36 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 2.37–2.73 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 2.37–2.73 Å. In the third Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.73 Å. In the fourth Ca2+ site, Ca2+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Ca–O bond distances ranging from 2.37–2.72 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 2.37–2.73 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 2.37–2.73 Å. There are six inequivalent Pr3+ sites. In the first Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.39–2.74 Å. In the second Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.40–2.75 Å. In the third Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.39–2.75 Å. In the fourth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.38–2.75 Å. In the fifth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.40–2.74 Å. In the sixth Pr3+ site, Pr3+ is bonded in a 8-coordinate geometry to eight O2- atoms. There are a spread of Pr–O bond distances ranging from 2.39–2.74 Å. Cr5+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 24–27°. There are a spread of Cr–O bond distances ranging from 2.00–2.03 Å. There are eleven inequivalent Mn+3.36+ sites. In the first Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 22–26°. There are a spread of Mn–O bond distances ranging from 1.97–1.99 Å. In the second Mn+3.36+ site, Mn+3.36+ 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 1.97–1.99 Å. In the third Mn+3.36+ site, Mn+3.36+ 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 1.96–1.99 Å. In the fourth Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 22–26°. There are a spread of Mn–O bond distances ranging from 1.97–1.99 Å. In the fifth Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two MnO6 octahedra and corners with four equivalent CrO6 octahedra. The corner-sharing octahedra tilt angles range from 24–26°. There are a spread of Mn–O bond distances ranging from 1.94–1.97 Å. In the sixth Mn+3.36+ site, Mn+3.36+ 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 1.97–1.99 Å. In the seventh Mn+3.36+ site, Mn+3.36+ 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 1.97–1.99 Å. In the eighth Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one CrO6 octahedra and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 22–26°. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. In the ninth Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 22–26°. There are a spread of Mn–O bond distances ranging from 1.96–1.99 Å. In the tenth Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one CrO6 octahedra and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–27°. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. In the eleventh Mn+3.36+ site, Mn+3.36+ 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 1.96–1.99 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 Pr3+, and two Mn+3.36+ atoms. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the fourth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Pr3+, one Cr5+, and one Mn+3.36+ atom. In the fifth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Pr3+, and two Mn+3.36+ atoms. In the sixth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Pr3+, and two Mn+3.36+ atoms. In the seventh O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Pr3+, and two Mn+3.36+ atoms. In the eighth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Pr3+, and two Mn+3.36+ atoms. In the ninth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Pr3+, and two Mn+3.36+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Pr3+, and two Mn+3.36+ atoms. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Pr3+, and two Mn+3.36+ atoms. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Pr3+, and two Mn+3.36+ atoms. In the thirteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Pr3+, and two Mn+3.36+ atoms. In the fourteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Pr3+, one Cr5+, and one Mn+3.36+ atom. In the fifteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Ca2+, two Pr3+, and two Mn+3.36+ atoms. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Pr3+, one Cr5+, and one Mn+3.36+ atom. In the seventeenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Pr3+, one Cr5+, and one Mn+3.36+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Pr3+, one Cr5+, and one Mn+3.36+ atom. In the twenty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the thirtieth O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the thirty-first O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the thirty-second O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the thirty-third O2- site, O2- is bonded in a 5-coordinate geometry to two Ca2+, one Pr3+, one Cr5+, and one Mn+3.36+ atom. In the thirty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Pr3+, and two Mn+3.36+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Ca2+, one Pr3+, and two Mn+3.36+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Sr3La9Mn11NiO36 by Materials Project

Sr3La9Mn11NiO36 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Sr2+ sites. In the first Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–3.08 Å. In the second Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Sr–O bond distances ranging from 2.52–3.06 Å. In the third Sr2+ site, Sr2+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of Sr–O bond distances ranging from 2.51–3.09 Å. There are nine inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 12-coordinate geometry to eleven O2- atoms. There are a spread of La–O bond distances ranging from 2.44–3.04 Å. In the second La3+ site, La3+ is bonded in a 11-coordinate geometry to eleven O2- atoms. There are a spread of La–O bond distances ranging from 2.44–2.99 Å. In the third La3+ site, La3+ is bonded in a 12-coordinate geometry to six O2- atoms. There are a spread of La–O bond distances ranging from 2.45–2.67 Å. In the fourth La3+ site, La3+ is bonded in a 12-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.46–2.58 Å. In the fifth La3+ site, La3+ is bonded in a 12-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.44–2.56 Å. In the sixth La3+ site, La3+ is bonded in a 12-coordinate geometry to eleven O2- atoms. There are a spread of La–O bond distances ranging from 2.43–3.04 Å. In the seventh La3+ site, La3+ is bonded in a 12-coordinate geometry to five O2- atoms. There are a spread of La–O bond distances ranging from 2.45–2.57 Å. In the eighth La3+ site, La3+ is bonded in a 12-coordinate geometry to twelve O2- atoms. There are a spread of La–O bond distances ranging from 2.44–3.14 Å. In the ninth La3+ site, La3+ is bonded in a 12-coordinate geometry to six O2- atoms. There are a spread of La–O bond distances ranging from 2.45–2.68 Å. There are eleven inequivalent Mn+3.36+ sites. In the first Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–23°. There are a spread of Mn–O bond distances ranging from 1.96–2.03 Å. In the second Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–21°. There are a spread of Mn–O bond distances ranging from 1.96–2.03 Å. In the third Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one NiO6 octahedra and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–23°. There are a spread of Mn–O bond distances ranging from 1.94–2.00 Å. In the fourth Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–21°. There are a spread of Mn–O bond distances ranging from 1.98–2.01 Å. In the fifth Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one NiO6 octahedra and corners with five MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–23°. There are a spread of Mn–O bond distances ranging from 1.95–2.01 Å. In the sixth Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NiO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 16–23°. There are a spread of Mn–O bond distances ranging from 1.95–2.00 Å. In the seventh Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent NiO6 octahedra and corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–23°. There are a spread of Mn–O bond distances ranging from 1.95–2.00 Å. In the eighth Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–23°. There are a spread of Mn–O bond distances ranging from 1.98–2.00 Å. In the ninth Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–23°. There are a spread of Mn–O bond distances ranging from 1.97–2.00 Å. In the tenth Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–23°. There are a spread of Mn–O bond distances ranging from 1.97–2.01 Å. In the eleventh Mn+3.36+ site, Mn+3.36+ is bonded to six O2- atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–23°. There are a spread of Mn–O bond distances ranging from 1.97–2.00 Å. Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 18–23°. There are three shorter (2.03 Å) and three longer (2.04 Å) Ni–O bond lengths. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 5-coordinate geometry to one La3+, one Mn+3.36+, and one Ni2+ atom. In the second O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Sr2+, one La3+, and two Mn+3.36+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Sr2+, two La3+, and two Mn+3.36+ atoms. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+, one Mn+3.36+, and one Ni2+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two La3+, and two Mn+3.36+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, three La3+, and two Mn+3.36+ atoms. In the ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the tenth O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to three La3+, one Mn+3.36+, and one Ni2+ atom. In the twelfth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, two La3+, and two Mn+3.36+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to three La3+ and two Mn+3.36+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, one La3+, and two Mn+3.36+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, three La3+, and two Mn+3.36+ atoms. In the sixteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the seventeenth O2- site, O2- is bonded in a 5-coordinate geometry to two Sr2+, two equivalent La3+, and two Mn+3.36+ atoms. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the nineteenth O2- site, O2- is bonded in a 5-coordinate geometry to one La3+ and two Mn+3.36+ atoms. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to two equivalent Sr2+, one La3+, and two Mn+3.36+ atoms. In the twenty-first O2- site, O2- is bonded in a 5-coordinate geometry to one La3+ and two Mn+3.36+ atoms. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the twenty-third O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+, one Mn+3.36+, and one Ni2+ atom. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, one La3+, and two Mn+3.36+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 4-coordinate geometry to three La3+ and two Mn+3.36+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, one La3+, and two Mn+3.36+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the thirty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the thirty-second O2- site, O2- is bonded in a 4-coordinate geometry to three La3+, one Mn+3.36+, and one Ni2+ atom. In the thirty-third O2- site, O2- is bonded in a 2-coordinate geometry to two Sr2+, one La3+, and two Mn+3.36+ atoms. In the thirty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to one Sr2+, two La3+, and two Mn+3.36+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+, one Mn+3.36+, and one Ni2+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Ba4La8Mn11SnO36 by Materials Project

Ba4La8Mn11SnO36 is Orthorhombic Perovskite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent LaO12 cuboctahedra, corners with six BaO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.70–3.13 Å. In the second Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with four equivalent LaO12 cuboctahedra, corners with six BaO12 cuboctahedra, a faceface with one SnO6 octahedra, and faces with seven MnO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.68–3.12 Å. In the third Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form distorted BaO12 cuboctahedra that share corners with two equivalent LaO12 cuboctahedra, corners with nine BaO12 cuboctahedra, a faceface with one SnO6 octahedra, and faces with seven MnO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.68–3.13 Å. In the fourth Ba2+ site, Ba2+ is bonded to twelve O2- atoms to form BaO12 cuboctahedra that share a cornercorner with one LaO12 cuboctahedra, corners with nine BaO12 cuboctahedra, faces with two equivalent SnO6 octahedra, and faces with six MnO6 octahedra. There are a spread of Ba–O bond distances ranging from 2.72–3.05 Å. There are eight inequivalent La3+ sites. In the first La3+ site, La3+ is bonded in a 3-coordinate geometry to ten O2- atoms. There are a spread of La–O bond distances ranging from 2.47–3.03 Å. In the second La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.47–2.84 Å. In the third La3+ site, La3+ is bonded in a 12-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.48–2.83 Å. In the fourth La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.47–2.87 Å. In the fifth La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.47–2.91 Å. In the sixth La3+ site, La3+ is bonded to twelve O2- atoms to form distorted LaO12 cuboctahedra that share corners with two equivalent LaO12 cuboctahedra, corners with nine BaO12 cuboctahedra, and faces with eight MnO6 octahedra. There are a spread of La–O bond distances ranging from 2.53–2.92 Å. In the seventh La3+ site, La3+ is bonded in a 3-coordinate geometry to nine O2- atoms. There are a spread of La–O bond distances ranging from 2.50–2.83 Å. In the eighth La3+ site, La3+ is bonded in a 12-coordinate geometry to eleven O2- atoms. There are a spread of La–O bond distances ranging from 2.53–2.88 Å. There are eleven inequivalent Mn+3.27+ sites. In the first Mn+3.27+ site, Mn+3.27+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, a faceface with one LaO12 cuboctahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–20°. There are a spread of Mn–O bond distances ranging from 1.97–2.04 Å. In the second Mn+3.27+ site, Mn+3.27+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, a faceface with one LaO12 cuboctahedra, and faces with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–19°. There are a spread of Mn–O bond distances ranging from 1.99–2.02 Å. In the third Mn+3.27+ site, Mn+3.27+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with two BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–18°. There are a spread of Mn–O bond distances ranging from 1.96–2.02 Å. In the fourth Mn+3.27+ site, Mn+3.27+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, faces with two BaO12 cuboctahedra, and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Mn–O bond distances ranging from 2.00–2.03 Å. In the fifth Mn+3.27+ site, Mn+3.27+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one SnO6 octahedra, corners with five MnO6 octahedra, faces with two BaO12 cuboctahedra, and faces with two equivalent LaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–17°. There are a spread of Mn–O bond distances ranging from 1.95–2.01 Å. In the sixth Mn+3.27+ site, Mn+3.27+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 5–18°. There are a spread of Mn–O bond distances ranging from 2.00–2.06 Å. In the seventh Mn+3.27+ site, Mn+3.27+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, a faceface with one LaO12 cuboctahedra, and faces with two equivalent BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–18°. There are a spread of Mn–O bond distances ranging from 1.97–2.02 Å. In the eighth Mn+3.27+ site, Mn+3.27+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four MnO6 octahedra, a faceface with one LaO12 cuboctahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 6–21°. There are a spread of Mn–O bond distances ranging from 1.97–2.07 Å. In the ninth Mn+3.27+ site, Mn+3.27+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra and faces with two BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 5–19°. There are a spread of Mn–O bond distances ranging from 1.97–2.01 Å. In the tenth Mn+3.27+ site, Mn+3.27+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four MnO6 octahedra, and faces with four BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 7–20°. There are a spread of Mn–O bond distances ranging from 1.97–2.07 Å. In the eleventh Mn+3.27+ site, Mn+3.27+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one SnO6 octahedra, corners with five MnO6 octahedra, and faces with three BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 4–19°. There are a spread of Mn–O bond distances ranging from 1.96–2.03 Å. Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six MnO6 octahedra and faces with four BaO12 cuboctahedra. The corner-sharing octahedra tilt angles range from 9–21°. There are three shorter (2.06 Å) and three longer (2.07 Å) Sn–O bond lengths. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, three La3+, and two Mn+3.27+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, three La3+, and two Mn+3.27+ atoms. In the third O2- site, O2- is bonded in a 2-coordinate geometry to three La3+ and two Mn+3.27+ atoms. In the fourth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, two equivalent La3+, one Mn+3.27+, and one Sn4+ atom. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, three La3+, and two Mn+3.27+ atoms. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, two La3+, one Mn+3.27+, and one Sn4+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, three La3+, and two Mn+3.27+ atoms. In the eighth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, three La3+, and two Mn+3.27+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, three La3+, and two Mn+3.27+ atoms. In the tenth O2- site, O2- is bonded in a 5-coordinate geometry to one Ba2+, two La3+, and two Mn+3.27+ atoms. In the eleventh O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+, one La3+, and two Mn+3.27+ atoms. In the twelfth O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+, one La3+, and two Mn+3.27+ atoms. In the thirteenth O2- site, O2- is bonded in a 2-coordinate geometry to three La3+ and two Mn+3.27+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, three La3+, and two Mn+3.27+ atoms. In the fifteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, two La3+, and two Mn+3.27+ atoms. In the sixteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, three La3+, and two Mn+3.27+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, two La3+, and two Mn+3.27+ atoms. In the eighteenth O2- site, O2- is bonded in a 5-coordinate geometry to two Ba2+, one La3+, one Mn+3.27+, and one Sn4+ atom. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, two La3+, one Mn+3.27+, and one Sn4+ atom. In the twentieth O2- site, O2- is bonded in a distorted linear geometry to one Ba2+, three La3+, and two Mn+3.27+ atoms. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Ba2+, two La3+, and two Mn+3.27+ atoms. In the twenty-second O2- site, O2- is bonded in a 5-coordinate geometry to one Ba2+, two La3+, and two Mn+3.27+ atoms. In the twenty-third O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+, one La3+, and two Mn+3.27+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 5-coordinate geometry to three La3+ and two Mn+3.27+ atoms. In the twenty-fifth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, two equivalent La3+, and two Mn+3.27+ atoms. In the twenty-sixth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, two equivalent La3+, and two Mn+3.27+ atoms. In the twenty-seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, three La3+, and two Mn+3.27+ atoms. In the twenty-eighth O2- site, O2- is bonded in a 5-coordinate geometry to two Ba2+, one La3+, and two Mn+3.27+ atoms. In the twenty-ninth O2- site, O2- is bonded in a 5-coordinate geometry to one Ba2+, two La3+, and two Mn+3.27+ atoms. In the thirtieth O2- site, O2- is bonded in a 2-coordinate geometry to two Ba2+, two La3+, and two Mn+3.27+ atoms. In the thirty-first O2- site, O2- is bonded in a 5-coordinate geometry to one Ba2+, two La3+, and two Mn+3.27+ atoms. In the thirty-second O2- site, O2- is bonded in a 5-coordinate geometry to two Ba2+, one La3+, one Mn+3.27+, and one Sn4+ atom. In the thirty-third O2- site, O2- is bonded in a 5-coordinate geometry to two equivalent Ba2+, one La3+, one Mn+3.27+, and one Sn4+ atom. In the thirty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Ba2+, three La3+, and two Mn+3.27+ atoms. In the thirty-fifth O2- site, O2- is bonded in a 5-coordinate geometry to one Ba2+, two La3+, and two Mn+3.27+ atoms. In the thirty-sixth O2- site, O2- is bonded in a 5-coordinate geometry to two Ba2+, one La3+, and two Mn+3.27+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn13Fe3O32 by Materials Project

Li8Mn13Fe3O32 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.98–2.06 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.05 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.99–2.07 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two FeO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–63°. There are a spread of Li–O bond distances ranging from 1.98–2.07 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three FeO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.98–2.07 Å. There are thirteen inequivalent Mn+3.62+ sites. In the first Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four MnO6 octahedra. There is two shorter (1.93 Å) and four longer (1.96 Å) Mn–O bond length. In the second Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four MnO6 octahedra. There is two shorter (1.93 Å) and four longer (1.96 Å) Mn–O bond length. In the third Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four MnO6 octahedra. There is two shorter (1.93 Å) and four longer (1.96 Å) Mn–O bond length. In the fourth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the fifth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.23 Å. In the sixth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.22 Å. In the seventh Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.16 Å. In the eighth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. In the ninth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.97 Å. In the tenth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.23 Å. In the eleventh Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.23 Å. In the twelfth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one FeO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–1.98 Å. In the thirteenth Mn+3.62+ site, Mn+3.62+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two FeO6 octahedra, and edges with four MnO6 octahedra. There is two shorter (1.93 Å) and four longer (1.96 Å) Mn–O bond length. There are three inequivalent Fe3+ sites. In the first Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the second Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. In the third Fe3+ site, Fe3+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Fe–O bond distances ranging from 2.03–2.08 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form distorted OLiMn2Fe trigonal pyramids that share corners with two OLiMn3 tetrahedra, corners with five OLiMn2Fe trigonal pyramids, and edges with two OLiMn2Fe trigonal pyramids. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.62+, and one Fe3+ atom. In the third O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the seventh O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe tetrahedra. In the eighth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe tetrahedra. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+ and three Mn+3.62+ atoms to form distorted OLiMn3 tetrahedra that share corners with three OLiMn3 tetrahedra, corners with four OLiMn2Fe trigonal pyramids, and an edgeedge with one OLiMn3 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe tetrahedra. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the fifteenth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form distorted OLiMn2Fe trigonal pyramids that share corners with three OLiMn3 tetrahedra, corners with five OLiMn2Fe trigonal pyramids, and edges with two OLiMn2Fe tetrahedra. In the sixteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.62+ atoms to form distorted OLiMn3 tetrahedra that share corners with three OLiMn2Fe tetrahedra, corners with five OLiMn2Fe trigonal pyramids, and an edgeedge with one OLiMn3 tetrahedra. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe tetrahedra. In the eighteenth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the twentieth O2- site, O2- is bonded to one Li1+ and three Mn+3.62+ atoms to form distorted OLiMn3 tetrahedra that share corners with three OLiMn3 tetrahedra, corners with five OLiMn2Fe trigonal pyramids, and an edgeedge with one OLiMn3 tetrahedra. In the twenty-first O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Mn+3.62+ atoms to form distorted OLiMn3 tetrahedra that share corners with two OLiMn3 tetrahedra, corners with five OLiMn2Fe trigonal pyramids, and an edgeedge with one OLiMn3 tetrahedra. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the twenty-sixth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form distorted OLiMn2Fe trigonal pyramids that share corners with four OLiMn3 tetrahedra, corners with four OLiMn2Fe trigonal pyramids, and edges with two OLiMn2Fe trigonal pyramids. In the twenty-seventh O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.62+ atoms. In the twenty-ninth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Fe trigonal pyramids. In the thirtieth O2- site, O2- is bonded to one Li1+, two Mn+3.62+, and one Fe3+ atom to form distorted OLi

36 MATERIALS SCIENCE↗

Materials Data on Mn3FeO8 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.89–2.11 Å. In the second 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 1.90–2.12 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two 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 1.93–2.14 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two 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 1.93–2.06 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 four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.17 Å. In the sixth 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 1.87–2.05 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two 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 1.92–2.30 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two 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 1.94–2.10 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.20 Å. There are twelve inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ 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 1.95–2.07 Å. In the second Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted 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 1.94–2.20 Å. In the third Mn+2.25+ site, Mn+2.25+ 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 2.07–2.31 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.04–2.40 Å. In the fifth Mn+2.25+ site, Mn+2.25+ 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 an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.15 Å. In the sixth Mn+2.25+ site, Mn+2.25+ 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 2.09–2.32 Å. In the seventh Mn+2.25+ site, Mn+2.25+ 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 2.03–2.26 Å. In the eighth Mn+2.25+ site, Mn+2.25+ 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 2.07–2.38 Å. In the ninth Mn+2.25+ site, Mn+2.25+ 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 2.03–2.29 Å. In the tenth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four 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 2.11–2.23 Å. In the eleventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.22 Å. In the twelfth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.00–2.64 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 1.35–1.44 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 1.36–1.42 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 1.37–1.43 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 1.36–1.43 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 1.36–1.41 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 1.38–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.42 Å) B–O bond length. 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 1.36–1.41 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.42 Å) B–O bond length. 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 1.36–1.41 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 1.38–1.40 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 1.35–1.41 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the thirty-second O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the thirty-third O2- site, O2- is bonded in a distorted

36 MATERIALS SCIENCE↗

Materials Data on Li2Mn3SnO8 by Materials Project

Li2Mn3SnO8 is Spinel-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three SnO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–65°. There are a spread of Li–O bond distances ranging from 2.00–2.11 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three SnO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Li–O bond distances ranging from 2.03–2.09 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three SnO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Li–O bond distances ranging from 2.05–2.07 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three SnO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–64°. There are a spread of Li–O bond distances ranging from 2.01–2.09 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three SnO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Li–O bond distances ranging from 2.01–2.10 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three SnO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–64°. There are a spread of Li–O bond distances ranging from 2.02–2.08 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three SnO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Li–O bond distances ranging from 2.03–2.06 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three SnO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–64°. There are a spread of Li–O bond distances ranging from 2.01–2.10 Å. There are twelve inequivalent Mn+3.33+ sites. In the first Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two SnO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.14 Å. In the second Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two SnO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.19 Å. In the third Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two SnO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the fourth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two SnO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.99 Å. In the fifth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two SnO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.19 Å. In the sixth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two SnO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.16 Å. In the seventh Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two SnO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.15 Å. In the eighth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two SnO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.19 Å. In the ninth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two SnO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.99 Å. In the tenth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two SnO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–1.99 Å. In the eleventh Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two SnO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.22 Å. In the twelfth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two SnO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.14 Å. There are four inequivalent Sn4+ sites. In the first Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Sn–O bond distances ranging from 2.08–2.15 Å. In the second Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Sn–O bond distances ranging from 2.08–2.14 Å. In the third Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Sn–O bond distances ranging from 2.08–2.15 Å. In the fourth Sn4+ site, Sn4+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Sn–O bond distances ranging from 2.08–2.15 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the second O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.33+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the fifth O2- site, O2- is bonded to one Li1+, two Mn+3.33+, and one Sn4+ atom to form distorted corner-sharing OLiMn2Sn trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the eleventh O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the fourteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.33+ atoms. In the fifteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the eighteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.33+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the twenty-first O2- site, O2- is bonded to one Li1+, two Mn+3.33+, and one Sn4+ atom to form distorted corner-sharing OLiMn2Sn trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the twenty-third O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the twenty-sixth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form distorted corner-sharing OLiMn3 tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.33+ atoms. In the thirty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom. In the thirty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+3.33+, and one Sn4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on LiMn2O4 by Materials Project

LiMn2O4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded in a 1-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.69–2.00 Å. In the second Li1+ site, Li1+ is bonded in a 1-coordinate geometry to one Mn+3.50+ and three O2- atoms. The Li–Mn bond length is 2.28 Å. There are a spread of Li–O bond distances ranging from 1.63–2.14 Å. In the third Li1+ site, Li1+ is bonded in a 1-coordinate geometry to one Mn+3.50+ and three O2- atoms. The Li–Mn bond length is 2.29 Å. There are a spread of Li–O bond distances ranging from 1.62–1.99 Å. In the fourth Li1+ site, Li1+ is bonded in a 3-coordinate geometry to three O2- atoms. There are a spread of Li–O bond distances ranging from 1.76–2.00 Å. In the fifth Li1+ site, Li1+ is bonded in a 1-coordinate geometry to one Mn+3.50+ and three O2- atoms. The Li–Mn bond length is 2.27 Å. There are a spread of Li–O bond distances ranging from 1.63–2.18 Å. In the sixth Li1+ site, Li1+ is bonded in a 1-coordinate geometry to one Mn+3.50+ and three O2- atoms. The Li–Mn bond length is 2.30 Å. There are a spread of Li–O bond distances ranging from 1.69–2.00 Å. There are twelve inequivalent Mn+3.50+ sites. In the first Mn+3.50+ site, Mn+3.50+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Mn–O bond distances ranging from 2.00–2.26 Å. In the second Mn+3.50+ site, Mn+3.50+ is bonded in a distorted hexagonal bipyramidal geometry to two Li1+ and six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.98–2.45 Å. In the third Mn+3.50+ site, Mn+3.50+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.92–2.39 Å. In the fourth Mn+3.50+ site, Mn+3.50+ is bonded in a distorted hexagonal bipyramidal geometry to two Li1+ and six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.99–2.47 Å. In the fifth Mn+3.50+ site, Mn+3.50+ is bonded in a 2-coordinate geometry to two O2- atoms. There is one shorter (1.82 Å) and one longer (1.97 Å) Mn–O bond length. In the sixth Mn+3.50+ site, Mn+3.50+ is bonded in a distorted linear geometry to three O2- atoms. There are a spread of Mn–O bond distances ranging from 1.78–2.20 Å. In the seventh Mn+3.50+ site, Mn+3.50+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 1.99–2.41 Å. In the eighth Mn+3.50+ site, Mn+3.50+ is bonded in a 6-coordinate geometry to six O2- atoms. There are a spread of Mn–O bond distances ranging from 2.00–2.39 Å. In the ninth Mn+3.50+ site, Mn+3.50+ is bonded in a 2-coordinate geometry to two O2- atoms. There are one shorter (2.07 Å) and one longer (2.11 Å) Mn–O bond lengths. In the tenth Mn+3.50+ site, Mn+3.50+ is bonded in a 2-coordinate geometry to four O2- atoms. There are a spread of Mn–O bond distances ranging from 1.89–2.27 Å. In the eleventh Mn+3.50+ site, Mn+3.50+ is bonded in a linear geometry to two O2- atoms. There is one shorter (1.75 Å) and one longer (1.78 Å) Mn–O bond length. In the twelfth Mn+3.50+ site, Mn+3.50+ is bonded in a distorted linear geometry to two O2- atoms. There is one shorter (1.78 Å) and one longer (1.80 Å) Mn–O bond length. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the second O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the third O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the fourth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the fifth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and one Mn+3.50+ atom. In the sixth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the seventh O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the eighth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn+3.50+ atoms. In the ninth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the tenth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn+3.50+ atoms. In the eleventh O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the twelfth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn+3.50+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted single-bond geometry to three Mn+3.50+ atoms. In the fourteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Mn+3.50+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted single-bond geometry to two Mn+3.50+ atoms. In the seventeenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the eighteenth O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the nineteenth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and one Mn+3.50+ atom. In the twentieth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the twenty-first O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the twenty-second O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the twenty-third O2- site, O2- is bonded in a 1-coordinate geometry to one Li1+ and two Mn+3.50+ atoms. In the twenty-fourth O2- site, O2- is bonded in a 2-coordinate geometry to one Li1+ and one Mn+3.50+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li7Ti5Mn12O32 by Materials Project

Li7Ti5Mn12O32 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four MnO6 octahedra and corners with eight TiO6 octahedra. The corner-sharing octahedra tilt angles range from 54–63°. There are a spread of Li–O bond distances ranging from 1.98–2.07 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four TiO6 octahedra and corners with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.91–2.06 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two TiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 1.99–2.18 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–63°. There are a spread of Li–O bond distances ranging from 1.98–2.35 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one TiO6 octahedra and corners with eleven MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 1.94–2.08 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two equivalent TiO6 octahedra and corners with ten MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Li–O bond distances ranging from 2.02–2.10 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with five MnO6 octahedra and corners with seven TiO6 octahedra. The corner-sharing octahedra tilt angles range from 53–63°. There are a spread of Li–O bond distances ranging from 2.00–2.06 Å. There are five inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with three TiO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.08 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with three TiO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.90–2.08 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, edges with three TiO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.92–2.07 Å. In the fourth Ti4+ site, Ti4+ is bonded to four O2- atoms to form TiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–60°. There are a spread of Ti–O bond distances ranging from 1.79–1.89 Å. In the fifth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.93–2.12 Å. There are twelve inequivalent Mn+3.08+ sites. In the first Mn+3.08+ site, Mn+3.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one MnO6 octahedra, and edges with five TiO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.98–2.22 Å. In the second Mn+3.08+ site, Mn+3.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.28 Å. In the third Mn+3.08+ site, Mn+3.08+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one TiO4 tetrahedra, corners with five LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.25 Å. In the fourth Mn+3.08+ site, Mn+3.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.36 Å. In the fifth Mn+3.08+ site, Mn+3.08+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one TiO4 tetrahedra, corners with five LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.12 Å. In the sixth Mn+3.08+ site, Mn+3.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.23 Å. In the seventh Mn+3.08+ site, Mn+3.08+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one TiO4 tetrahedra, corners with five LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.97–2.31 Å. In the eighth Mn+3.08+ site, Mn+3.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent TiO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.99–2.24 Å. In the ninth Mn+3.08+ site, Mn+3.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with three equivalent LiO4 tetrahedra, corners with three equivalent TiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.32 Å. In the tenth Mn+3.08+ site, Mn+3.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one TiO6 octahedra, and edges with five MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–2.02 Å. In the eleventh Mn+3.08+ site, Mn+3.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three TiO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.25 Å. In the twelfth Mn+3.08+ site, Mn+3.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with three TiO6 octahedra, and edges with three MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.25 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Ti4+ atoms. In the second O2- site, O2- is bonded to one Li1+, two Ti4+, and one Mn+3.08+ atom to form a mixture of distorted corner and edge-sharing OLiTi2Mn tetrahedra. In the third O2- site, O2- is bonded to one Li1+, two Ti4+, and one Mn+3.08+ atom to form a mixture of distorted corner and edge-sharing OLiTi2Mn trigonal pyramids. In the fourth O2- site, O2- is bonded to one Li1+ and three Mn+3.08+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the fifth O2- site, O2- is bonded to one Li1+, two Ti4+, and one Mn+3.08+ atom to form distorted OLiTi2Mn tetrahedra that share corners with two OLiMn3 tetrahedra, a cornercorner with one OLiMn3 trigonal pyramid, an edgeedge with one OLiTi2Mn tetrahedra, and an edgeedge with one OLiTi2Mn trigonal pyramid. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.08+ atoms. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Mn+3.08+ atom. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.08+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.08+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Mn+3.08+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.08+ atoms. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.08+ atoms. In the thirteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.08+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.08+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the fifteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ti4+ and three Mn+3.08+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ti4+ and three Mn+3.08+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.08+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.08+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.08+ atoms. In the twentieth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.08+ atoms. In the twenty-first O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Ti4+ and three Mn+3.08+ atoms. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Ti4+ and three Mn+3.08+ atoms. In the twenty-third O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.08+ atoms to form distorted corner-sharing OLiTiMn2 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.08+ atoms. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.08+ atoms. In the twenty-sixth O2- site, O2- is bonded to one Li1+ and three Mn+3.08+ atoms to form corner-sharing OLiMn3 tetrahedra. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.08+ atoms. In the twenty-eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.08+ atoms. In the twenty-ninth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.08+ atoms to form distorted corner-sharing OLiTiMn2 tetrahedra. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.08+ atoms. In the thirty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Mn+3.08+ atom. In the thirty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Ti4+, and one Mn+3.08+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to 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 1.92–2.15 Å. In the second Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.97–2.66 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 1.91–2.08 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.91–2.07 Å. In the fifth 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 1.92–2.12 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.97–2.12 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.91–2.07 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids 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 1.93–2.13 Å. In the ninth Li1+ site, Li1+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Li–O bond distances ranging from 1.98–2.71 Å. There are twelve inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ 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 2.10–2.26 Å. In the second Mn+2.25+ site, Mn+2.25+ 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 1.99–2.06 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, 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 2.04–2.31 Å. In the fourth Mn+2.25+ site, Mn+2.25+ 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 2.09–2.23 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent 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 2.10–2.22 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 1.93–2.05 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, 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 2.07–2.24 Å. In the eighth Mn+2.25+ site, Mn+2.25+ 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 2.04–2.44 Å. In the ninth Mn+2.25+ site, Mn+2.25+ 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 2.05–2.32 Å. In the tenth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two equivalent LiO4 trigonal pyramids, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.28 Å. In the eleventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two equivalent 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 2.03–2.23 Å. In the twelfth Mn+2.25+ site, Mn+2.25+ 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 1.96–2.05 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 1.36–1.44 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 1.35–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. 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 1.36–1.43 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 1.36–1.45 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 1.36–1.40 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 1.37–1.41 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 1.35–1.46 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 1.37–1.43 Å. In the eleventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 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 is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the thirty-second O2- site, O2- is bonded

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.92–2.13 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two 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 1.93–2.09 Å. In the third Li1+ site, Li1+ is bonded to five O2- atoms to form distorted LiO5 trigonal bipyramids that share a cornercorner with one LiO4 tetrahedra, corners with two MnO5 trigonal bipyramids, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.50 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, 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 1.97–2.12 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO5 trigonal bipyramids, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.91–2.07 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two LiO4 tetrahedra and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.10 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.91–2.06 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 trigonal bipyramids and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.88–2.15 Å. There are twelve inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.07–2.34 Å. In the second Mn+2.25+ site, Mn+2.25+ 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 an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.26 Å. In the third Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.00–2.67 Å. In the fourth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 1.92–2.23 Å. In the fifth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.10–2.19 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.29 Å. In the seventh Mn+2.25+ site, Mn+2.25+ 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 1.95–2.16 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.36 Å. In the ninth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.08 Å. In the tenth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, an edgeedge with one LiO5 trigonal bipyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.07–2.28 Å. In the eleventh Mn+2.25+ site, Mn+2.25+ 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 2.06–2.31 Å. In the twelfth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, a cornercorner with one LiO5 trigonal bipyramid, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.28 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 1.37–1.43 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 1.38–1.40 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 1.37–1.43 Å. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.41 Å) B–O bond length. 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 1.36–1.43 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 1.36–1.40 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 1.37–1.42 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 1.35–1.44 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 1.35–1.43 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 1.35–1.43 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 1.37–1.42 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal pyramidal geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, 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 eighteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to one Li1+, two Mn+2.25+, 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 twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a 1-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to 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 1.92–2.11 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two 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 1.96–2.12 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.91–2.27 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.91–2.09 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two 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 1.94–2.07 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.92–2.06 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.93–2.13 Å. In the eighth Li1+ site, Li1+ is bonded in a 4-coordinate geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–2.21 Å. In the ninth 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 1.90–2.06 Å. There are twelve inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ 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 2.12–2.31 Å. In the second Mn+2.25+ site, Mn+2.25+ 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 1.95–2.06 Å. In the third Mn+2.25+ site, Mn+2.25+ 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 2.06–2.30 Å. In the fourth Mn+2.25+ site, Mn+2.25+ 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 2.04–2.34 Å. In the fifth Mn+2.25+ site, Mn+2.25+ 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 2.07–2.26 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.29 Å. In the seventh Mn+2.25+ site, Mn+2.25+ 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 2.02–2.39 Å. In the eighth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted 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 2.07–2.42 Å. In the ninth Mn+2.25+ site, Mn+2.25+ 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 2.06–2.18 Å. In the tenth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.21 Å. In the eleventh Mn+2.25+ site, Mn+2.25+ 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 1.94–2.12 Å. In the twelfth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted 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 1.96–2.16 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 (1.38 Å) and two longer (1.40 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 1.34–1.43 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.40 Å) B–O bond length. 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 1.36–1.44 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.36 Å) and two longer (1.41 Å) B–O bond length. 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 1.36–1.41 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 1.36–1.42 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 1.37–1.43 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 1.36–1.42 Å. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.41 Å) B–O bond length. 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 1.37–1.42 Å. In the twelfth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the seventh O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B tetrahedra that share corners with two OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.25+ and one B3+ atom. In the eighteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the nineteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the twenty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirty-first O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirty-second O2- site, O2- is bonded in a

36 MATERIALS SCIENCE↗

Materials Data on Mn6OF11 by Materials Project

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

36 MATERIALS SCIENCE↗

Materials Data on Li5Mn6(BO3)6 by Materials Project

Li5Mn6(BO3)6 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 square pyramids, corners with two LiO4 tetrahedra, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two MnO5 square pyramids, corners with two LiO4 tetrahedra, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 2.00–2.03 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 square pyramids, corners with two LiO4 tetrahedra, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.96–2.05 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, a cornercorner with one LiO4 tetrahedra, and corners with five MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.92–2.13 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three MnO5 square pyramids, a cornercorner with one LiO4 tetrahedra, and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.88–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two MnO5 square pyramids, corners with two LiO4 tetrahedra, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.97–2.02 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, corners with two LiO4 tetrahedra, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.04 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two MnO5 square pyramids, a cornercorner with one LiO4 tetrahedra, and corners with three MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.93–2.03 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with five MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.96–2.07 Å. In the tenth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one MnO5 square pyramid, corners with two LiO4 tetrahedra, and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.98–2.03 Å. There are twelve inequivalent Mn+2.17+ sites. In the first Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.09–2.25 Å. In the second Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five LiO4 tetrahedra and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 2.05–2.25 Å. In the third Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with five LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.27 Å. In the fourth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form distorted MnO5 square pyramids that share corners with six LiO4 tetrahedra, an edgeedge with one MnO5 square pyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.04–2.27 Å. In the fifth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four LiO4 tetrahedra, an edgeedge with one MnO5 square pyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 1.96–2.15 Å. In the sixth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.22 Å. In the seventh Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form MnO5 square pyramids that share corners with five LiO4 tetrahedra and an edgeedge with one MnO5 square pyramid. There are a spread of Mn–O bond distances ranging from 1.95–2.10 Å. In the eighth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.07–2.29 Å. In the ninth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.03–2.22 Å. In the tenth Mn+2.17+ site, Mn+2.17+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.05–2.33 Å. In the eleventh Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with six LiO4 tetrahedra, an edgeedge with one MnO5 square pyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Mn–O bond distances ranging from 2.08–2.22 Å. In the twelfth Mn+2.17+ site, Mn+2.17+ is bonded to five O2- atoms to form distorted MnO5 trigonal bipyramids that share corners with five LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.20 Å. There are twelve inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. All B–O bond lengths are 1.39 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.40 Å) B–O bond length. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 Å) and two longer (1.40 Å) B–O bond length. 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 1.37–1.41 Å. In the fifth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.41 Å) B–O bond length. 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 1.37–1.41 Å. In the seventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.38 Å) and two longer (1.40 Å) B–O bond length. In the eighth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one longer (1.41 Å) B–O bond length. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.37 Å) and two longer (1.40 Å) B–O bond length. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.39 Å) and one longer (1.40 Å) B–O bond length. In the eleventh B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.38 Å) and one 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 is one shorter (1.37 Å) and two longer (1.40 Å) B–O bond length. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded to two Li1+, one Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the third O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the fourth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.17+ and one B3+ atom. In the eighth O2- site, O2- is bonded to two Li1+, one Mn+2.17+, and one B3+ atom to form corner-sharing OLi2MnB tetrahedra. In the ninth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the eleventh O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.17+ and one B3+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the fourteenth O2- site, O2- is bonded to two Li1+, one Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded to two Li1+, one Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded to two Li1+, one Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to two Mn+2.17+ and one B3+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded to two Li1+, one Mn+2.17+, and one B3+ atom to form corner-sharing OLi2MnB tetrahedra. In the twenty-third O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the twenty-fourth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the twenty-fifth O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-sixth O2- site, O2- is bonded to two Li1+, one Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLi2MnB tetrahedra. In the twenty-seventh O2- site, O2- is bonded to one Li1+, two Mn+2.17+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.17+, and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.17+, and one B3+ atom. In the thirtieth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.17+ and one B3+ atom. In the thirty-first O2- site, O2- is bonded to

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4(BO3)4 by Materials Project

Li3Mn4(BO3)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are nine inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to 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 1.88–2.08 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra and corners with four MnO5 trigonal bipyramids. There are a spread of Li–O bond distances ranging from 1.95–2.17 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.92–2.08 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two 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 1.93–2.08 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with three MnO5 trigonal bipyramids, a cornercorner with one LiO4 trigonal pyramid, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.92–2.18 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with two 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 1.93–2.13 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 trigonal pyramids 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 1.90–2.07 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share corners with two 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 1.98–2.15 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form 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 1.94–2.17 Å. There are twelve inequivalent Mn+2.25+ sites. In the first Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with two LiO4 tetrahedra, 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 2.08–2.28 Å. In the second Mn+2.25+ site, Mn+2.25+ 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 edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.00–2.46 Å. In the third Mn+2.25+ site, Mn+2.25+ 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 2.07–2.22 Å. In the fourth Mn+2.25+ site, Mn+2.25+ 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 1.98–2.16 Å. In the fifth Mn+2.25+ site, Mn+2.25+ 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 edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.28 Å. In the sixth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with three LiO4 tetrahedra, 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 2.07–2.32 Å. In the seventh Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form MnO5 trigonal bipyramids that share corners with four 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 2.12–2.21 Å. In the eighth Mn+2.25+ site, Mn+2.25+ 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 1.93–2.20 Å. In the ninth Mn+2.25+ site, Mn+2.25+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Mn–O bond distances ranging from 2.01–2.35 Å. In the tenth Mn+2.25+ site, Mn+2.25+ is bonded to five O2- atoms to form distorted 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 2.05–2.28 Å. In the eleventh Mn+2.25+ site, Mn+2.25+ 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 1.98–2.09 Å. In the twelfth Mn+2.25+ site, Mn+2.25+ 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, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.05–2.25 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 1.38–1.41 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 1.35–1.43 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 1.38–1.41 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 1.36–1.42 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 1.36–1.42 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 1.38–1.40 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 1.35–1.41 Å. In the ninth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.40 Å) B–O bond length. In the tenth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.43 Å) B–O bond length. 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 1.37–1.43 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 1.36–1.42 Å. There are thirty-six inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the tenth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the fourteenth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the fifteenth O2- site, O2- is bonded in a 4-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the eighteenth O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the twentieth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to two Mn+2.25+ and one B3+ atom. In the twenty-third O2- site, O2- is bonded to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLiMn2B tetrahedra. In the twenty-fourth O2- site, O2- is bonded to two Li1+, one Mn+2.25+, and one B3+ atom to form distorted corner-sharing OLi2MnB trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-seventh O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the thirtieth O2- site, O2- is bon

36 MATERIALS SCIENCE↗

Materials Data on Li4Mn13O24 by Materials Project

Li4Mn13O24 is beta indium sulfide-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are four inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 52–65°. There are a spread of Li–O bond distances ranging from 1.90–2.03 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–65°. There are a spread of Li–O bond distances ranging from 1.93–2.05 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 2.00–2.09 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with twelve MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–65°. There are a spread of Li–O bond distances ranging from 1.98–2.07 Å. There are thirteen inequivalent Mn+3.38+ sites. In the first Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with three LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. In the second Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There is two shorter (1.94 Å) and four longer (1.96 Å) Mn–O bond length. In the third Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.21 Å. In the fourth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the fifth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO4 tetrahedra, corners with three LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.20 Å. In the sixth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.13 Å. In the seventh Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.02 Å. In the eighth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO4 tetrahedra, corners with three LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.21 Å. In the ninth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the tenth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.15 Å. In the eleventh Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with three LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–1.98 Å. In the twelfth Mn+3.38+ site, Mn+3.38+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MnO4 tetrahedra, corners with four LiO4 tetrahedra, and edges with six MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.12 Å. In the thirteenth Mn+3.38+ site, Mn+3.38+ is bonded to four O2- atoms to form corner-sharing MnO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Mn–O bond distances ranging from 1.98–2.03 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.38+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the third O2- site, O2- is bonded in a distorted T-shaped geometry to three Mn+3.38+ atoms. In the fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.38+ atoms. In the sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the seventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the eighth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the ninth O2- site, O2- is bonded to one Li1+ and three Mn+3.38+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 trigonal pyramids. In the tenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Mn+3.38+ atoms. In the twelfth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.38+ atoms. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.38+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.38+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the sixteenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the seventeenth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.38+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.38+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the twentieth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Mn+3.38+ atoms. In the twenty-first O2- site, O2- is bonded to one Li1+ and three Mn+3.38+ atoms to form a mixture of distorted corner and edge-sharing OLiMn3 tetrahedra. In the twenty-second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Mn+3.38+ atoms. In the twenty-third O2- site, O2- is bonded to one Li1+ and three Mn+3.38+ atoms to form distorted corner-sharing OLiMn3 trigonal pyramids. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to four Mn+3.38+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li2TiMn3O8 by Materials Project

Li2TiMn3O8 is Hausmannite-derived structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 53–65°. There are a spread of Li–O bond distances ranging from 1.96–2.06 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 51–67°. There are a spread of Li–O bond distances ranging from 1.99–2.09 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–66°. There are a spread of Li–O bond distances ranging from 1.98–2.12 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–64°. There are a spread of Li–O bond distances ranging from 2.01–2.04 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–62°. There are a spread of Li–O bond distances ranging from 1.97–2.04 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–66°. There are a spread of Li–O bond distances ranging from 1.97–2.06 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–64°. There are a spread of Li–O bond distances ranging from 1.95–2.05 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three TiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–64°. There are a spread of Li–O bond distances ranging from 1.99–2.04 Å. There are four inequivalent Ti4+ sites. In the first Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.89–2.06 Å. In the second Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.86–2.11 Å. In the third Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.10 Å. In the fourth Ti4+ site, Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Ti–O bond distances ranging from 1.88–2.06 Å. There are twelve inequivalent Mn+3.33+ sites. In the first Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.98 Å. In the second Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.29 Å. In the third Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.18 Å. In the fourth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.21 Å. In the fifth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.27 Å. In the sixth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.95–2.23 Å. In the seventh Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the eighth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.27 Å. In the ninth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the tenth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.94–2.18 Å. In the eleventh Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.96–2.28 Å. In the twelfth Mn+3.33+ site, Mn+3.33+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two TiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.97 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.33+ atoms. In the fourth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with two OLiMn3 tetrahedra, corners with two OLiTiMn2 trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the fifth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 tetrahedra that share a cornercorner with one OLiMn3 tetrahedra and corners with four OLiTiMn2 trigonal pyramids. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with three OLiMn3 tetrahedra, a cornercorner with one OLiTiMn2 trigonal pyramid, and an edgeedge with one OLiTiMn2 trigonal pyramid. In the seventh O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the eighth O2- site, O2- is bonded in a rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the tenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the eleventh O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.33+ atoms. In the twelfth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share a cornercorner with one OLiTiMn2 tetrahedra, corners with four OLiTiMn2 trigonal pyramids, and an edgeedge with one OLiMn3 tetrahedra. In the thirteenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with two OLiMn3 tetrahedra and corners with five OLiTiMn2 trigonal pyramids. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 tetrahedra. In the fifteenth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with two OLiMn3 tetrahedra, corners with four OLiTiMn2 trigonal pyramids, and edges with two OLiMn3 trigonal pyramids. In the sixteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with two OLiMn3 tetrahedra, corners with five OLiTiMn2 trigonal pyramids, and edges with two OLiTiMn2 trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with two OLiMn3 tetrahedra, corners with four OLiTiMn2 trigonal pyramids, and an edgeedge with one OLiMn3 trigonal pyramid. In the twenty-first O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share a cornercorner with one OLiMn3 tetrahedra, corners with five OLiTiMn2 trigonal pyramids, and edges with two OLiMn3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with two OLiMn3 tetrahedra, corners with five OLiTiMn2 trigonal pyramids, and an edgeedge with one OLiTiMn2 trigonal pyramid. In the twenty-third O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share a cornercorner with one OLiTiMn2 tetrahedra, corners with five OLiTiMn2 trigonal pyramids, edges with two OLiMn3 tetrahedra, and an edgeedge with one OLiTiMn2 trigonal pyramid. In the twenty-fourth O2- site, O2- is bonded to one Li1+, one Ti4+, and two Mn+3.33+ atoms to form distorted OLiTiMn2 trigonal pyramids that share corners with four OLiTiMn2 trigonal pyramids, edges with two OLiMn3 tetrahedra, and an edgeedge with one OLiTiMn2 trigonal pyramid. In the twenty-fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the twenty-sixth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, one Ti4+, and two Mn+3.33+ atoms. In the twenty-seventh O2- site, O2- is bonded to one Li1+ and three Mn+3.33+ atoms to form distorted OLiMn3 tetrahed

36 MATERIALS SCIENCE↗

Materials Data on Mn7Nb(PO4)12 by Materials Project

NbMn7(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Nb5+ is bonded to six O2- atoms to form NbO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Nb–O bond distances ranging from 1.96–2.01 Å. There are seven inequivalent Mn+4.43+ sites. In the first Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.94 Å. In the second Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.93 Å. In the third Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.94 Å. In the fourth Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.93 Å. In the fifth Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.85–1.94 Å. In the sixth Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.94 Å. In the seventh Mn+4.43+ site, Mn+4.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There is two shorter (1.90 Å) and four longer (1.93 Å) Mn–O bond length. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 22–33°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–32°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–32°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 26–33°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–40°. There are a spread of P–O bond distances ranging from 1.52–1.55 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–39°. There are a spread of P–O bond distances ranging from 1.52–1.55 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–39°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the eighth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–39°. There are a spread of P–O bond distances ranging from 1.52–1.55 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–40°. There are a spread of P–O bond distances ranging from 1.52–1.55 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–40°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NbO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–41°. There are a spread of P–O bond distances ranging from 1.51–1.56 Å. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–39°. There are a spread of P–O bond distances ranging from 1.52–1.55 Å. There are forty-eight inequivalent O2- sites. In the first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Mn+4.43+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Mn+4.43+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Mn+4.43+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Mn+4.43+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.43+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to one Nb5+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.43+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a linear geometry to one Mn+4.43+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.43+ and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Nb5+ and one P5+ atom.

36 MATERIALS SCIENCE↗