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Materials Data on Mn7Ni(PO4)12 by Materials Project

Mn7Ni(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Mn+4.86+ sites. In the first Mn+4.86+ site, Mn+4.86+ 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 second Mn+4.86+ site, Mn+4.86+ 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+4.86+ site, Mn+4.86+ 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+4.86+ site, Mn+4.86+ 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 1.88–1.94 Å. In the fifth Mn+4.86+ site, Mn+4.86+ 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 sixth Mn+4.86+ site, Mn+4.86+ 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+4.86+ site, Mn+4.86+ 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. Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ni–O bond distances ranging from 1.92–1.99 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–33°. There are a spread of P–O bond distances ranging from 1.52–1.55 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 28–32°. There is two shorter (1.53 Å) and two longer (1.55 Å) P–O bond length. 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 NiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–35°. There are a spread of P–O bond distances ranging from 1.53–1.55 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 11–40°. There are a spread of P–O bond distances ranging from 1.53–1.55 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 11–40°. 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 NiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–43°. There are a spread of P–O bond distances ranging from 1.52–1.55 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 10–40°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–39°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 14–40°. There are a spread of P–O bond distances ranging from 1.50–1.56 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one NiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–40°. There are a spread of P–O bond distances ranging from 1.53–1.55 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 10–40°. 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+4.86+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to one Ni2+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ni2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn7Sb(PO4)12 by Materials Project

Mn7Sb(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. 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 1.89–1.93 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 1.88–1.93 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 1.88–1.93 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 1.89–1.92 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 1.86–1.93 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 1.88–1.93 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 (1.92 Å) Mn–O bond length. Sb5+ is bonded to six O2- atoms to form SbO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Sb–O bond distances ranging from 1.96–1.98 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SbO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 25–32°. 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 28–32°. 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 27–32°. 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 SbO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–33°. 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 10–40°. 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 SbO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–41°. There are a spread of P–O bond distances ranging from 1.52–1.57 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 11–40°. 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 SbO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 7–40°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SbO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–40°. There is one shorter (1.53 Å) and three longer (1.54 Å) P–O bond length. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SbO6 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 1.52–1.56 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 10–40°. 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 distorted bent 150 degrees geometry to one Sb5+ 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 Sb5+ 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 Sb5+ 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 distorted bent 150 degrees geometry to one Sb5+ 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 Sb5+ 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 Sb5+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn7Fe(PO4)12 by Materials Project

Mn7Fe(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Mn+4.86+ sites. In the first Mn+4.86+ site, Mn+4.86+ 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+4.86+ site, Mn+4.86+ 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 third Mn+4.86+ site, Mn+4.86+ 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+4.86+ site, Mn+4.86+ 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 1.89–1.95 Å. In the fifth Mn+4.86+ site, Mn+4.86+ 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 1.88–1.94 Å. In the sixth Mn+4.86+ site, Mn+4.86+ 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+4.86+ site, Mn+4.86+ 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. Fe2+ is bonded to six O2- atoms to form FeO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Fe–O bond distances ranging from 1.93–2.00 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–33°. There are a spread of P–O bond distances ranging from 1.52–1.55 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 28–33°. There is two shorter (1.53 Å) and two longer (1.55 Å) P–O bond length. 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 is two shorter (1.53 Å) and two longer (1.55 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–33°. There are a spread of P–O bond distances ranging from 1.53–1.55 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 11–40°. 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 FeO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–42°. There are a spread of P–O bond distances ranging from 1.53–1.55 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 10–40°. 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 FeO6 octahedra and corners with three 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 tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–41°. There are a spread of P–O bond distances ranging from 1.51–1.55 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one FeO6 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 1.52–1.55 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 10–40°. 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+4.86+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Fe2+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to one Fe2+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe2+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe2+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe2+ and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Fe2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on TiMn7(PO4)12 by Materials Project

TiMn7(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Ti4+ is bonded to six O2- atoms to form TiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Ti–O bond distances ranging from 1.92–1.96 Å. There are seven inequivalent Mn+4.57+ sites. In the first Mn+4.57+ site, Mn+4.57+ 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 second Mn+4.57+ site, Mn+4.57+ 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 1.88–1.93 Å. In the third Mn+4.57+ site, Mn+4.57+ 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 1.88–1.93 Å. In the fourth Mn+4.57+ site, Mn+4.57+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There is one shorter (1.88 Å) and five longer (1.92 Å) Mn–O bond length. In the fifth Mn+4.57+ site, Mn+4.57+ 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 1.86–1.93 Å. In the sixth Mn+4.57+ site, Mn+4.57+ 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 1.88–1.93 Å. In the seventh Mn+4.57+ site, Mn+4.57+ 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. 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 TiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 23–32°. There is two shorter (1.53 Å) and two longer (1.54 Å) P–O bond length. 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 28–32°. 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 TiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 26–33°. There is one shorter (1.53 Å) and three longer (1.54 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with 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 11–40°. 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 TiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–39°. There are a spread of P–O bond distances ranging from 1.53–1.55 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 10–40°. 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 TiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–40°. There is two shorter (1.53 Å) and two longer (1.55 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 octahedra and corners with three 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 eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one TiO6 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 1.52–1.55 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 11–40°. 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+4.57+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Mn+4.57+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Mn+4.57+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Mn+4.57+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Mn+4.57+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.57+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to one Ti4+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.57+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a linear geometry to one Mn+4.57+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.57+ and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Ti4+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn7Cr(PO4)12 by Materials Project

CrMn7(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. Cr6+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Cr–O bond distances ranging from 1.88–1.91 Å. There are seven inequivalent Mn+4.29+ sites. In the first Mn+4.29+ site, Mn+4.29+ 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+4.29+ site, Mn+4.29+ 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+4.29+ site, Mn+4.29+ 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 1.88–1.93 Å. In the fourth Mn+4.29+ site, Mn+4.29+ 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 1.88–1.94 Å. In the fifth Mn+4.29+ site, Mn+4.29+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.94 Å. In the sixth Mn+4.29+ site, Mn+4.29+ 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 seventh Mn+4.29+ site, Mn+4.29+ 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 1.88–1.93 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 24–33°. There is two shorter (1.53 Å) and two longer (1.54 Å) P–O bond length. 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 is two shorter (1.53 Å) and two longer (1.55 Å) P–O bond length. 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 28–33°. There is two shorter (1.53 Å) and two longer (1.54 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–33°. There is two shorter (1.53 Å) and two longer (1.54 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–40°. 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 11–40°. 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 CrO6 octahedra and corners with three 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 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 10–40°. 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 CrO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–41°. 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 CrO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–41°. There are a spread of P–O bond distances ranging from 1.52–1.55 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–40°. There are a spread of P–O bond distances ranging from 1.52–1.55 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 11–40°. 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+4.29+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Mn+4.29+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Mn+4.29+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Mn+4.29+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Mn+4.29+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.29+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to one Cr6+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.29+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a linear geometry to one Mn+4.29+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.29+ and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cr6+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn7Sn(PO4)12 by Materials Project

Mn7Sn(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Mn+4.86+ sites. In the first Mn+4.86+ site, Mn+4.86+ 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 1.88–1.95 Å. In the second Mn+4.86+ site, Mn+4.86+ 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 third Mn+4.86+ site, Mn+4.86+ 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 1.89–1.95 Å. In the fourth Mn+4.86+ site, Mn+4.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There is one shorter (1.89 Å) and five longer (1.93 Å) Mn–O bond length. In the fifth Mn+4.86+ site, Mn+4.86+ 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 1.85–1.95 Å. In the sixth Mn+4.86+ site, Mn+4.86+ 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+4.86+ site, Mn+4.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.94 Å. Sn2+ is bonded to six O2- atoms to form SnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Sn–O bond distances ranging from 2.03–2.05 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SnO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 26–34°. 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 28–32°. 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 is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SnO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–33°. There are a spread of P–O bond distances ranging from 1.53–1.55 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 1.52–1.56 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 1.53–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SnO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–42°. There are a spread of P–O bond distances ranging from 1.53–1.55 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 11–39°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SnO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 8–41°. There is two shorter (1.53 Å) and two longer (1.55 Å) P–O bond length. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SnO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–41°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one SnO6 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 1.52–1.55 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 1.53–1.56 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+4.86+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sn2+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to one Sn2+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sn2+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Sn2+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Sn2+ and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Sn2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Mn7Cu(PO4)12 by Materials Project

Mn7Cu(PO4)12 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are seven inequivalent Mn+4.86+ sites. In the first Mn+4.86+ site, Mn+4.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.94 Å. In the second Mn+4.86+ site, Mn+4.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.95 Å. In the third Mn+4.86+ site, Mn+4.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.94 Å. In the fourth Mn+4.86+ site, Mn+4.86+ 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 1.88–1.96 Å. In the fifth Mn+4.86+ site, Mn+4.86+ 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 1.88–1.94 Å. In the sixth Mn+4.86+ site, Mn+4.86+ 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 1.89–1.95 Å. In the seventh Mn+4.86+ site, Mn+4.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–1.94 Å. Cu2+ is bonded to six O2- atoms to form CuO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Cu–O bond distances ranging from 1.93–2.02 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–40°. 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 11–40°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–43°. 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 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 1.53–1.55 Å. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 10–41°. There is two shorter (1.53 Å) and two longer (1.55 Å) P–O bond length. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 15–41°. There are a spread of P–O bond distances ranging from 1.51–1.56 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–40°. There are a spread of P–O bond distances ranging from 1.53–1.56 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 11–40°. There are a spread of P–O bond distances ranging from 1.53–1.55 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–32°. There is two shorter (1.53 Å) and two longer (1.55 Å) P–O bond length. In the tenth 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 28–33°. 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 corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–32°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CuO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–34°. There are a spread of P–O bond distances ranging from 1.53–1.55 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+4.86+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the tenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the eleventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twelfth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twentieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cu2+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to one Cu2+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cu2+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted bent 150 degrees geometry to one Cu2+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the fortieth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-first O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a linear geometry to one Mn+4.86+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Cu2+ and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-seventh O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+4.86+ and one P5+ atom. In the forty-eighth O2- site, O2- is bonded in a bent 150 degrees geometry to one Cu2+ and one P5+ atom.

36 MATERIALS SCIENCE↗

Materials Data on Nd20Mn19O60 by Materials Project

Nd20Mn19O60 is Orthorhombic Perovskite-like structured and crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are ten inequivalent Nd sites. In the first Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.70 Å. In the second Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.73 Å. In the third Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.36–2.69 Å. In the fourth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.36–2.69 Å. In the fifth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.69 Å. In the sixth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.38–2.70 Å. In the seventh Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.35–2.68 Å. In the eighth Nd site, Nd is bonded in a 9-coordinate geometry to nine O atoms. There are a spread of Nd–O bond distances ranging from 2.41–2.97 Å. In the ninth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.37–2.80 Å. In the tenth Nd site, Nd is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Nd–O bond distances ranging from 2.32–2.70 Å. There are eleven inequivalent Mn sites. In the first Mn site, Mn is bonded to six O atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 30–32°. There are a spread of Mn–O bond distances ranging from 1.89–2.21 Å. In the second Mn site, Mn is bonded to six O atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 30–34°. There are a spread of Mn–O bond distances ranging from 1.95–2.25 Å. In the third Mn site, Mn is bonded to six O atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 30–31°. There are a spread of Mn–O bond distances ranging from 1.96–2.19 Å. In the fourth Mn site, Mn is bonded to six O atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 30–32°. There are a spread of Mn–O bond distances ranging from 1.95–2.22 Å. In the fifth Mn site, Mn is bonded to six O atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 29–33°. There are a spread of Mn–O bond distances ranging from 1.93–2.23 Å. In the sixth Mn site, Mn is bonded to six O atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 30–31°. There are a spread of Mn–O bond distances ranging from 1.94–2.21 Å. In the seventh Mn site, Mn is bonded to six O atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 30–33°. There are a spread of Mn–O bond distances ranging from 1.89–2.07 Å. In the eighth Mn site, Mn is bonded to six O atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 29–31°. There are a spread of Mn–O bond distances ranging from 1.96–2.20 Å. In the ninth Mn site, Mn is bonded to six O atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 29–34°. There are a spread of Mn–O bond distances ranging from 1.88–2.24 Å. In the tenth Mn site, Mn is bonded to six O atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 29–32°. There are a spread of Mn–O bond distances ranging from 1.96–2.17 Å. In the eleventh Mn site, Mn is bonded to six O atoms to form corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 32–33°. There are a spread of Mn–O bond distances ranging from 1.95–2.11 Å. There are thirty inequivalent O sites. In the first O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the second O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the third O site, O is bonded in a 4-coordinate geometry to two Nd and two Mn atoms. In the fourth O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the fifth O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the sixth O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the seventh O site, O is bonded in a 4-coordinate geometry to two Nd and two Mn atoms. In the eighth O site, O is bonded in a 4-coordinate geometry to two Nd and two Mn atoms. In the ninth O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the tenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the eleventh O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the twelfth O site, O is bonded in a 4-coordinate geometry to two Nd and two Mn atoms. In the thirteenth O site, O is bonded in a 4-coordinate geometry to two Nd and two Mn atoms. In the fourteenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the fifteenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the sixteenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the seventeenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the eighteenth O site, O is bonded in a 4-coordinate geometry to two Nd and two Mn atoms. In the nineteenth O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the twentieth O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the twenty-first O site, O is bonded in a 4-coordinate geometry to two Nd and two Mn atoms. In the twenty-second O site, O is bonded to three Nd and two Mn atoms to form distorted ONd3Mn2 trigonal bipyramids that share a cornercorner with one ONd3Mn2 trigonal bipyramid, corners with two equivalent ONd3Mn trigonal pyramids, and an edgeedge with one ONd2Mn2 tetrahedra. In the twenty-third O site, O is bonded in a 4-coordinate geometry to three Nd and one Mn atom. In the twenty-fourth O site, O is bonded to three Nd and one Mn atom to form distorted ONd3Mn trigonal pyramids that share a cornercorner with one ONd2Mn2 tetrahedra and corners with two equivalent ONd3Mn2 trigonal bipyramids. In the twenty-fifth O site, O is bonded to two Nd and two Mn atoms to form distorted edge-sharing ONd2Mn2 tetrahedra. In the twenty-sixth O site, O is bonded in a 3-coordinate geometry to three Nd and one Mn atom. In the twenty-seventh O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the twenty-eighth O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the twenty-ninth O site, O is bonded in a 5-coordinate geometry to three Nd and two Mn atoms. In the thirtieth O site, O is bonded to two Nd and two Mn atoms to form distorted corner-sharing ONd2Mn2 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mn23(BC2)2 by Materials Project

Mn23(BC2)2 crystallizes in the orthorhombic Imm2 space group. The structure is three-dimensional. there are ten inequivalent Mn sites. In the first Mn site, Mn is bonded in a distorted bent 150 degrees geometry to one Mn, one B, and one C atom. The Mn–Mn bond length is 2.48 Å. The Mn–B bond length is 2.11 Å. The Mn–C bond length is 2.07 Å. In the second Mn site, Mn is bonded in a distorted bent 150 degrees geometry to one Mn and two equivalent B atoms. The Mn–Mn bond length is 2.46 Å. Both Mn–B bond lengths are 2.09 Å. In the third Mn site, Mn is bonded in a distorted bent 150 degrees geometry to one Mn and two C atoms. The Mn–Mn bond length is 2.53 Å. There are one shorter (2.08 Å) and one longer (2.09 Å) Mn–C bond lengths. In the fourth Mn site, Mn is bonded in a distorted bent 150 degrees geometry to one Mn and two equivalent C atoms. The Mn–Mn bond length is 2.56 Å. Both Mn–C bond lengths are 2.07 Å. In the fifth Mn site, Mn is bonded in a distorted bent 150 degrees geometry to one Mn, one B, and one C atom. The Mn–Mn bond length is 2.51 Å. The Mn–B bond length is 2.09 Å. The Mn–C bond length is 2.06 Å. In the sixth Mn site, Mn is bonded in a distorted trigonal non-coplanar geometry to one Mn, two equivalent B, and one C atom. The Mn–Mn bond length is 2.38 Å. Both Mn–B bond lengths are 2.10 Å. The Mn–C bond length is 2.04 Å. In the seventh Mn site, Mn is bonded in a trigonal non-coplanar geometry to one Mn and three C atoms. The Mn–Mn bond length is 2.37 Å. There are two shorter (2.06 Å) and one longer (2.07 Å) Mn–C bond lengths. In the eighth Mn site, Mn is bonded in a distorted trigonal non-coplanar geometry to one Mn, one B, and two C atoms. The Mn–Mn bond length is 2.38 Å. The Mn–B bond length is 2.11 Å. There are one shorter (2.05 Å) and one longer (2.06 Å) Mn–C bond lengths. In the ninth Mn site, Mn is bonded in a 12-coordinate geometry to twelve Mn and two equivalent B atoms. Both Mn–B bond lengths are 2.76 Å. In the tenth Mn site, Mn is bonded in a distorted tetrahedral geometry to four Mn atoms. B is bonded in a 8-coordinate geometry to nine Mn atoms. There are two inequivalent C sites. In the first C site, C is bonded in a 8-coordinate geometry to eight Mn atoms. In the second C site, C is bonded in a 8-coordinate geometry to eight Mn atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li8Mn7Cr(PO4)12 by Materials Project

Li8CrMn7(PO4)12 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 in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–1.98 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.00 Å. In the third Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–1.98 Å. In the fourth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–1.99 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–1.98 Å. In the sixth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.94–1.98 Å. In the seventh Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–1.98 Å. In the eighth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra, an edgeedge with one CrO6 octahedra, and an edgeedge with one MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.92–2.00 Å. Cr4+ is bonded to six O2- atoms to form CrO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Cr–O bond distances ranging from 1.95–2.05 Å. There are seven inequivalent Mn+3.43+ sites. In the first Mn+3.43+ site, Mn+3.43+ 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 1.89–2.03 Å. In the second Mn+3.43+ site, Mn+3.43+ 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 1.90–2.06 Å. In the third Mn+3.43+ site, Mn+3.43+ 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 1.91–2.07 Å. In the fourth Mn+3.43+ site, Mn+3.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.09 Å. In the fifth Mn+3.43+ site, Mn+3.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.89–2.07 Å. In the sixth Mn+3.43+ site, Mn+3.43+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.90–2.05 Å. In the seventh Mn+3.43+ site, Mn+3.43+ 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 1.91–2.07 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 27–36°. There are a spread of P–O bond distances ranging from 1.52–1.57 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 29–36°. 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 and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 29–35°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the fourth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–35°. There is two shorter (1.54 Å) and two longer (1.55 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–43°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 12–43°. There are a spread of P–O bond distances ranging from 1.53–1.57 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 12–43°. There are a spread of P–O bond distances ranging from 1.53–1.56 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 13–43°. There are a spread of P–O bond distances ranging from 1.54–1.56 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 12–42°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the tenth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–43°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the eleventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one CrO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 11–43°. There are a spread of P–O bond distances ranging from 1.53–1.56 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 12–42°. There are a spread of P–O bond distances ranging from 1.53–1.56 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+3.43+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.43+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Mn+3.43+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Mn+3.43+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Mn+3.43+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Mn+3.43+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.43+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.43+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.43+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.43+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Cr4+, and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Mn+3.43+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to one Cr4+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted T-shaped geometry to one Li1+, one Cr4+, and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr4+, and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a linear geometry to one Mn+3.43+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a linear geometry to one Mn+3.43+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Cr4+, and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.43+, and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.43+, a

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn7(PO4)12 by Materials Project

Li9Mn7(PO4)12 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 in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.90–2.00 Å. In the second Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–1.99 Å. In the third Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.93–1.97 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 trigonal pyramids that share corners with four PO4 tetrahedra and edges with two MnO6 octahedra. There are a spread of Li–O bond distances ranging from 1.94–2.03 Å. In the fifth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.95–2.01 Å. In the sixth 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 1.88–2.05 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Li–O bond distances ranging from 1.97–2.14 Å. In the eighth Li1+ site, Li1+ is bonded in a distorted see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.92–2.00 Å. In the ninth Li1+ site, Li1+ is bonded in a rectangular see-saw-like geometry to four O2- atoms. There are a spread of Li–O bond distances ranging from 1.87–2.05 Å. There are seven inequivalent Mn+3.86+ sites. In the first Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.88–2.04 Å. In the second Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.03 Å. In the third Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.92–2.08 Å. In the fourth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra and an edgeedge with one LiO4 trigonal pyramid. There are a spread of Mn–O bond distances ranging from 1.91–2.04 Å. In the fifth Mn+3.86+ site, Mn+3.86+ 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 1.86–2.04 Å. In the sixth Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.91–2.00 Å. In the seventh Mn+3.86+ site, Mn+3.86+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six PO4 tetrahedra. There are a spread of Mn–O bond distances ranging from 1.90–2.04 Å. There are twelve inequivalent P5+ sites. In the first P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 11–42°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the second P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share corners with four MnO6 octahedra and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 12–43°. There are a spread of P–O bond distances ranging from 1.52–1.56 Å. In the third P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 14–45°. There are a spread of P–O bond distances ranging from 1.49–1.58 Å. In the fourth 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 13–43°. There is one shorter (1.53 Å) and three longer (1.55 Å) P–O bond length. In the fifth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 15–45°. There are a spread of P–O bond distances ranging from 1.50–1.58 Å. In the sixth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 13–45°. There are a spread of P–O bond distances ranging from 1.48–1.58 Å. In the seventh P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 16–45°. There are a spread of P–O bond distances ranging from 1.50–1.57 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 12–43°. There are a spread of P–O bond distances ranging from 1.53–1.56 Å. In the ninth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with three MnO6 octahedra, and a cornercorner with one LiO4 trigonal pyramid. The corner-sharing octahedra tilt angles range from 28–38°. There are a spread of P–O bond distances ranging from 1.48–1.58 Å. In the tenth 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 28–36°. There are a spread of P–O bond distances ranging from 1.52–1.57 Å. In the eleventh 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 28–34°. There is two shorter (1.53 Å) and two longer (1.56 Å) P–O bond length. In the twelfth P5+ site, P5+ is bonded to four O2- atoms to form PO4 tetrahedra that share a cornercorner with one LiO6 octahedra and corners with three MnO6 octahedra. The corner-sharing octahedra tilt angles range from 28–37°. There are a spread of P–O bond distances ranging from 1.50–1.57 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+3.86+ and one P5+ atom. In the second O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.86+ and one P5+ atom. In the third O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the fourth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the seventh O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the eighth O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the tenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the fourteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the seventeenth O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the eighteenth O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the nineteenth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the twentieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the twenty-first O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the twenty-second O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the twenty-third O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.86+ and one P5+ atom. In the twenty-fourth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.86+ and one P5+ atom. In the twenty-fifth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.86+ and one P5+ atom. In the twenty-sixth O2- site, O2- is bonded in a bent 150 degrees geometry to one Mn+3.86+ and one P5+ atom. In the twenty-seventh O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the twenty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the twenty-ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirtieth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirty-first O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the thirty-second O2- site, O2- is bonded in a linear geometry to one Li1+ and one P5+ atom. In the thirty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to two Li1+ and one P5+ atom. In the thirty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirty-sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirty-seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the thirty-eighth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the thirty-ninth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the fortieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the forty-first O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the forty-second O2- site, O2- is bonded in a linear geometry to one Mn+3.86+ and one P5+ atom. In the forty-third O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+ and one P5+ atom. In the forty-fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86+, and one P5+ atom. In the forty-fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to one Li1+, one Mn+3.86

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 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 1.95–2.15 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, 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 1.88–2.04 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO4 tetrahedra, corners with four MnO5 trigonal bipyramids, and an edgeedge with one MnO5 trigonal bipyramid. There are a spread of Li–O bond distances ranging from 1.93–2.12 Å. In the fourth 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 three 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 2.01–2.59 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form distorted LiO4 tetrahedra that share a cornercorner with one LiO5 trigonal bipyramid, 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 1.92–2.29 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with four 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 1.93–2.05 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, 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 1.94–2.12 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 1.92–2.05 Å. In the ninth 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 1.88–2.09 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, an edgeedge with one LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.02–2.35 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 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 2.09–2.23 Å. In the third 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, 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 2.02–2.39 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 four LiO4 tetrahedra and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.06–2.20 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 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 1.96–2.13 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, 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 1.97–2.14 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 LiO5 trigonal bipyramid, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.08–2.24 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, 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 2.04–2.32 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, a cornercorner with one LiO5 trigonal bipyramid, 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 2.08–2.35 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 LiO4 tetrahedra, and edges with two MnO5 trigonal bipyramids. There are a spread of Mn–O bond distances ranging from 2.12–2.27 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, 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 2.05–2.31 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 LiO4 trigonal pyramid, 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 1.95–2.08 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 1.38–1.40 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 1.36–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.37–1.42 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 is one shorter (1.35 Å) and two longer (1.40 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 is one shorter (1.36 Å) and two longer (1.41 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 1.37–1.42 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 1.36–1.42 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 1.35–1.42 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 1.36–1.41 Å. 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 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 in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one 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 to one Li1+, two Mn+2.25+, and one B3+ atom to form distorted OLiMn2B trigonal pyramids that share a cornercorner with one OLiMn2B tetrahedra and a cornercorner with one OLi2MnB trigonal pyramid. In the eighth 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 ninth 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 tenth O2- site, O2- is bonded in a 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the eleventh 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 twelfth O2- site, O2- is bonded in a 3-coordinate geometry to one Li1+, one Mn+2.25+, and one B3+ atom. In the thirteenth 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 fourteenth 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 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 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the eighteenth O2- site, O2- is bonded in a 3-coordinate geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In the nineteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to one 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 3-coordinate geometry to two Mn+2.25+ and one B3+ atom. In the twenty-second O2- site, O2- is bonded in a 4-coordinate geometry to one Li1+, two Mn+2.25+, and one B3+ atom. In the twenty-third O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to 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 in a distorted rectangular see-saw-like geometry to two Li1+, one Mn+2.25+, and one B3+ atom. In th

36 MATERIALS SCIENCE↗

Materials Data on Mn4Al9 by Materials Project

Mn4Al9 is beta Plutonium-derived structured and crystallizes in the orthorhombic Pnma space group. The structure is three-dimensional. there are nine inequivalent Mn sites. In the first Mn site, Mn is bonded in a 6-coordinate geometry to four Mn and ten Al atoms. There are a spread of Mn–Mn bond distances ranging from 2.76–3.04 Å. There are a spread of Mn–Al bond distances ranging from 2.54–3.11 Å. In the second Mn site, Mn is bonded in a 12-coordinate geometry to four Mn and eight Al atoms. There are a spread of Mn–Mn bond distances ranging from 2.60–2.74 Å. There are a spread of Mn–Al bond distances ranging from 2.46–2.68 Å. In the third Mn site, Mn is bonded in a 9-coordinate geometry to nine Al atoms. There are a spread of Mn–Al bond distances ranging from 2.37–2.57 Å. In the fourth Mn site, Mn is bonded in a 12-coordinate geometry to four Mn and eight Al atoms. There are one shorter (2.59 Å) and two longer (2.81 Å) Mn–Mn bond lengths. There are a spread of Mn–Al bond distances ranging from 2.48–2.63 Å. In the fifth Mn site, Mn is bonded in a 12-coordinate geometry to four Mn and eight Al atoms. There are one shorter (2.62 Å) and one longer (2.78 Å) Mn–Mn bond lengths. There are a spread of Mn–Al bond distances ranging from 2.48–2.63 Å. In the sixth Mn site, Mn is bonded in a 12-coordinate geometry to two Mn and ten Al atoms. There are a spread of Mn–Al bond distances ranging from 2.41–2.72 Å. In the seventh Mn site, Mn is bonded in a 12-coordinate geometry to four Mn and eight Al atoms. There are a spread of Mn–Al bond distances ranging from 2.45–2.60 Å. In the eighth Mn site, Mn is bonded in a 12-coordinate geometry to two Mn and ten Al atoms. The Mn–Mn bond length is 2.87 Å. There are a spread of Mn–Al bond distances ranging from 2.38–2.84 Å. In the ninth Mn site, Mn is bonded in a 6-coordinate geometry to four Mn and ten Al atoms. There are a spread of Mn–Al bond distances ranging from 2.57–3.22 Å. There are sixteen inequivalent Al sites. In the first Al site, Al is bonded in a distorted linear geometry to two equivalent Mn and four Al atoms. There are two shorter (2.75 Å) and two longer (2.91 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 4-coordinate geometry to four Mn and four Al atoms. There are a spread of Al–Al bond distances ranging from 2.74–2.81 Å. In the third Al site, Al is bonded in a 4-coordinate geometry to four Mn and four Al atoms. All Al–Al bond lengths are 2.86 Å. In the fourth Al site, Al is bonded in a 5-coordinate geometry to five Mn and four Al atoms. There are two shorter (2.79 Å) and two longer (2.82 Å) Al–Al bond lengths. In the fifth Al site, Al is bonded in a 4-coordinate geometry to four Mn and five Al atoms. There are a spread of Al–Al bond distances ranging from 2.67–2.95 Å. In the sixth Al site, Al is bonded to eight Mn and four Al atoms to form face-sharing AlMn8Al4 cuboctahedra. There are a spread of Al–Al bond distances ranging from 2.49–2.61 Å. In the seventh Al site, Al is bonded in a 2-coordinate geometry to three Mn and four Al atoms. All Al–Al bond lengths are 2.87 Å. In the eighth Al site, Al is bonded in a 11-coordinate geometry to four Mn and seven Al atoms. There are a spread of Al–Al bond distances ranging from 2.74–2.83 Å. In the ninth Al site, Al is bonded in a 11-coordinate geometry to five Mn and six Al atoms. There are one shorter (2.71 Å) and one longer (2.77 Å) Al–Al bond lengths. In the tenth Al site, Al is bonded in a 2-coordinate geometry to three Mn and six Al atoms. There are one shorter (2.57 Å) and one longer (2.79 Å) Al–Al bond lengths. In the eleventh Al site, Al is bonded in a 2-coordinate geometry to two Mn and four Al atoms. There are one shorter (2.82 Å) and one longer (2.83 Å) Al–Al bond lengths. In the twelfth Al site, Al is bonded in a 2-coordinate geometry to three Mn and three Al atoms. There are one shorter (2.60 Å) and one longer (2.70 Å) Al–Al bond lengths. In the thirteenth Al site, Al is bonded in a 11-coordinate geometry to four Mn and seven Al atoms. The Al–Al bond length is 2.71 Å. In the fourteenth Al site, Al is bonded in a 11-coordinate geometry to five Mn and six Al atoms. Both Al–Al bond lengths are 2.69 Å. In the fifteenth Al site, Al is bonded in a 12-coordinate geometry to five Mn and seven Al atoms. The Al–Al bond length is 2.45 Å. In the sixteenth Al site, Al is bonded in a 10-coordinate geometry to four Mn and six Al atoms.

36 MATERIALS SCIENCE↗

Materials Data on Li9Mn12Ni3O32 by Materials Project

Li9Mn12Ni3O32 is Spinel-derived structured and 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 LiO6 octahedra, corners with two NiO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. In the second Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NiO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.00 Å. In the third Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–66°. There are a spread of Li–O bond distances ranging from 1.97–2.00 Å. In the fourth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share corners with three NiO6 octahedra and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Li–O bond distances ranging from 1.97–2.00 Å. In the fifth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NiO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.00 Å. In the sixth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NiO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. In the seventh Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NiO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. All Li–O bond lengths are 2.11 Å. In the ninth Li1+ site, Li1+ is bonded to four O2- atoms to form LiO4 tetrahedra that share a cornercorner with one LiO6 octahedra, corners with two NiO6 octahedra, and corners with nine MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Li–O bond distances ranging from 1.96–2.01 Å. There are twelve inequivalent Mn+4.08+ sites. In the first Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the second Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the third Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the fourth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. In the fifth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the sixth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. In the seventh Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the eighth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. In the ninth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the tenth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.89–1.99 Å. In the eleventh Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, edges with two NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. In the twelfth Mn+4.08+ site, Mn+4.08+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO4 tetrahedra, an edgeedge with one LiO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with four MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 1.88–1.99 Å. There are three inequivalent Ni2+ sites. In the first Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.06–2.08 Å. In the second Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.05–2.08 Å. In the third Ni2+ site, Ni2+ is bonded to six O2- atoms to form NiO6 octahedra that share corners with six LiO4 tetrahedra and edges with six MnO6 octahedra. There are a spread of Ni–O bond distances ranging from 2.06–2.09 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with nine OLiMn3 trigonal pyramids and edges with two OLiMn2Ni trigonal pyramids. In the second O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Ni2+ atom. In the third O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with eight OLiMn2Ni trigonal pyramids and edges with two OLi2Mn2 trigonal pyramids. In the fourth O2- site, O2- is bonded to two Li1+ and two Mn+4.08+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with eleven OLiMn2Ni trigonal pyramids and edges with two OLiMn3 trigonal pyramids. In the fifth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Ni2+ atom. In the sixth O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with nine OLiMn3 trigonal pyramids and an edgeedge with one OLiMn2Ni trigonal pyramid. In the seventh O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Ni trigonal pyramids. In the eighth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with nine OLiMn2Ni trigonal pyramids and edges with two OLiMn3 trigonal pyramids. In the ninth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Ni2+ atom. In the tenth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Ni trigonal pyramids. In the eleventh O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids. In the twelfth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Ni2+ atom. In the thirteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Ni2+ atom. In the fourteenth O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form a mixture of distorted edge and corner-sharing OLiMn3 trigonal pyramids. In the fifteenth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with nine OLiMn2Ni 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+, two Mn+4.08+, and one Ni2+ atom. In the seventeenth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form a mixture of distorted edge and corner-sharing OLiMn2Ni trigonal pyramids. In the eighteenth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with ten OLiMn3 trigonal pyramids and edges with two OLiMn2Ni trigonal pyramids. In the nineteenth O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with ten OLiMn3 trigonal pyramids and edges with two OLiMn2Ni trigonal pyramids. In the twentieth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with eight OLiMn2Ni trigonal pyramids and edges with two OLiMn3 trigonal pyramids. In the twenty-first O2- site, O2- is bonded to two Li1+ and two Mn+4.08+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with eleven OLiMn2Ni trigonal pyramids and edges with three OLi2Mn2 trigonal pyramids. In the twenty-second O2- site, O2- is bonded to one Li1+ and three Mn+4.08+ atoms to form distorted OLiMn3 trigonal pyramids that share corners with nine OLiMn3 trigonal pyramids and edges with three OLi2Mn2 trigonal pyramids. In the twenty-third O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+, two Mn+4.08+, and one Ni2+ atom. In the twenty-fourth O2- site, O2- is bonded to one Li1+, two Mn+4.08+, and one Ni2+ atom to form distorted OLiMn2Ni trigonal pyramids that share corners with nine OLiMn2Ni trigonal pyramids and edges with two OLiMn3 trigonal pyramids. In the twenty-fifth O2- site, O2- is bonded to two Li1+ and two Mn+4.08+ atoms to form distorted OLi2Mn2 trigonal pyramids that share corners with eleven OLiMn3 trigonal pyramids and edges with three OLi2Mn2 trigonal pyramids. In the twenty-sixth O2- site, O2- is bon

36 MATERIALS SCIENCE↗

Materials Data on Li3Mn4O8 by Materials Project

Li3Mn4O8 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Li1+ sites. In the first Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.13–2.59 Å. In the second Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Li–O bond distances ranging from 2.04–2.28 Å. In the third Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. In the fourth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–18°. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. In the fifth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Li–O bond distances ranging from 2.12–2.60 Å. In the sixth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–18°. There are a spread of Li–O bond distances ranging from 2.03–2.31 Å. In the seventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Li–O bond distances ranging from 2.10–2.59 Å. In the eighth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six MnO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Li–O bond distances ranging from 2.10–2.58 Å. In the ninth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–18°. There are a spread of Li–O bond distances ranging from 2.04–2.32 Å. In the tenth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–18°. There are a spread of Li–O bond distances ranging from 2.05–2.22 Å. In the eleventh Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Li–O bond distances ranging from 2.05–2.25 Å. In the twelfth Li1+ site, Li1+ is bonded to six O2- atoms to form LiO6 octahedra that share corners with six LiO6 octahedra, edges with two LiO6 octahedra, and edges with eight MnO6 octahedra. The corner-sharing octahedra tilt angles range from 9–17°. There are a spread of Li–O bond distances ranging from 2.04–2.32 Å. There are sixteen inequivalent Mn+3.25+ sites. In the first Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with six LiO6 octahedra and edges with six MnO6 octahedra. There is two shorter (1.92 Å) and four longer (1.94 Å) Mn–O bond length. In the second Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–10°. There are a spread of Mn–O bond distances ranging from 1.95–2.01 Å. In the third Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–16°. There are a spread of Mn–O bond distances ranging from 2.11–2.17 Å. In the fourth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with six LiO6 octahedra and edges with six MnO6 octahedra. There is two shorter (1.92 Å) and four longer (1.94 Å) Mn–O bond length. In the fifth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Mn–O bond distances ranging from 1.99–2.28 Å. In the sixth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 6–17°. There are a spread of Mn–O bond distances ranging from 1.98–2.29 Å. In the seventh Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Mn–O bond distances ranging from 1.99–2.29 Å. In the eighth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with six LiO6 octahedra and edges with six MnO6 octahedra. There is two shorter (1.92 Å) and four longer (1.94 Å) Mn–O bond length. In the ninth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 3–10°. There are a spread of Mn–O bond distances ranging from 1.95–2.01 Å. In the tenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are two shorter (2.11 Å) and four longer (2.18 Å) Mn–O bond lengths. In the eleventh Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–17°. There are a spread of Mn–O bond distances ranging from 2.11–2.19 Å. In the twelfth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share edges with six LiO6 octahedra and edges with six MnO6 octahedra. There is two shorter (1.92 Å) and four longer (1.94 Å) Mn–O bond length. In the thirteenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–9°. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. In the fourteenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Mn–O bond distances ranging from 2.11–2.19 Å. In the fifteenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six LiO6 octahedra, edges with four LiO6 octahedra, and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 4–11°. There are a spread of Mn–O bond distances ranging from 1.95–1.99 Å. In the sixteenth Mn+3.25+ site, Mn+3.25+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MnO6 octahedra, edges with four MnO6 octahedra, and edges with six LiO6 octahedra. The corner-sharing octahedra tilt angles range from 7–16°. There are a spread of Mn–O bond distances ranging from 1.99–2.28 Å. There are thirty-two inequivalent O2- sites. In the first O2- site, O2- is bonded to one Li1+ and four Mn+3.25+ atoms to form OLiMn4 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi3Mn2 square pyramids. In the second O2- site, O2- is bonded to two Li1+ and three Mn+3.25+ atoms to form OLi2Mn3 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi3Mn2 square pyramids. In the third O2- site, O2- is bonded to one Li1+ and four Mn+3.25+ atoms to form OLiMn4 square pyramids that share corners with nine OLi2Mn3 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi2Mn3 square pyramids. In the fourth O2- site, O2- is bonded to three Li1+ and two Mn+3.25+ atoms to form OLi3Mn2 square pyramids that share corners with nine OLi2Mn3 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi2Mn3 square pyramids. In the fifth O2- site, O2- is bonded to one Li1+ and four Mn+3.25+ atoms to form OLiMn4 square pyramids that share corners with nine OLi2Mn3 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi3Mn2 square pyramids. In the sixth O2- site, O2- is bonded to three Li1+ and three Mn+3.25+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi3Mn2 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the seventh O2- site, O2- is bonded to two Li1+ and three Mn+3.25+ atoms to form OLi2Mn3 square pyramids that share corners with nine OLi3Mn2 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi3Mn2 square pyramids. In the eighth O2- site, O2- is bonded to three Li1+ and two Mn+3.25+ atoms to form OLi3Mn2 square pyramids that share corners with nine OLi2Mn3 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi2Mn3 square pyramids. In the ninth O2- site, O2- is bonded to three Li1+ and three Mn+3.25+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLi2Mn3 square pyramids. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O2- site, O2- is bonded to two Li1+ and three Mn+3.25+ atoms to form OLi2Mn3 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi3Mn2 square pyramids. In the eleventh O2- site, O2- is bonded to three Li1+ and three Mn+3.25+ atoms to form OLi3Mn3 octahedra that share corners with six OLi3Mn3 octahedra and edges with twelve OLiMn4 square pyramids. The corner-sharing octahedra tilt angles range from 0–5°. In the twelfth O2- site, O2- is bonded to three Li1+ and two Mn+3.25+ atoms to form OLi3Mn2 square pyramids that share corners with nine OLiMn4 square pyramids, edges with four OLi3Mn3 octahedra, and edges with four OLi2Mn3 square pyramids. In the thirteenth O2- site, O2- is bonded to one Li1+ and four Mn+3.25+ atoms to form OLiMn4 square pyramids that share corners with nine OLiMn4 square pyram

36 MATERIALS SCIENCE↗

Materials Data on Mn5Ge2 by Materials Project

Mn5Ge2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Mn sites. In the first Mn site, Mn is bonded in a 4-coordinate geometry to two Mn and four Ge atoms. There are one shorter (2.58 Å) and one longer (2.65 Å) Mn–Mn bond lengths. All Mn–Ge bond lengths are 2.53 Å. In the second Mn site, Mn is bonded in a 4-coordinate geometry to two Mn and four Ge atoms. Both Mn–Mn bond lengths are 2.51 Å. There are a spread of Mn–Ge bond distances ranging from 2.56–2.66 Å. In the third Mn site, Mn is bonded in a 4-coordinate geometry to two Mn and four Ge atoms. There are one shorter (2.58 Å) and one longer (2.65 Å) Mn–Mn bond lengths. There are one shorter (2.52 Å) and three longer (2.53 Å) Mn–Ge bond lengths. In the fourth Mn site, Mn is bonded in a 4-coordinate geometry to two Mn and four Ge atoms. There are one shorter (2.54 Å) and one longer (2.64 Å) Mn–Mn bond lengths. There are two shorter (2.53 Å) and two longer (2.56 Å) Mn–Ge bond lengths. In the fifth Mn site, Mn is bonded to eight Mn and four Ge atoms to form a mixture of distorted face and corner-sharing MnMn8Ge4 cuboctahedra. There are a spread of Mn–Mn bond distances ranging from 2.51–2.66 Å. There are a spread of Mn–Ge bond distances ranging from 2.52–2.55 Å. In the sixth Mn site, Mn is bonded in a 4-coordinate geometry to two Mn and four Ge atoms. The Mn–Mn bond length is 2.51 Å. There are a spread of Mn–Ge bond distances ranging from 2.55–2.66 Å. In the seventh Mn site, Mn is bonded in a 4-coordinate geometry to two Mn and four Ge atoms. The Mn–Mn bond length is 2.52 Å. There are a spread of Mn–Ge bond distances ranging from 2.56–2.65 Å. In the eighth Mn site, Mn is bonded in a 4-coordinate geometry to six Mn and four Ge atoms. There are one shorter (2.50 Å) and one longer (2.55 Å) Mn–Mn bond lengths. There are a spread of Mn–Ge bond distances ranging from 2.55–2.66 Å. In the ninth Mn site, Mn is bonded to eight Mn and four Ge atoms to form a mixture of distorted face and corner-sharing MnMn8Ge4 cuboctahedra. There are two shorter (2.53 Å) and two longer (2.55 Å) Mn–Ge bond lengths. In the tenth Mn site, Mn is bonded in a 4-coordinate geometry to two Mn and four Ge atoms. There are a spread of Mn–Ge bond distances ranging from 2.52–2.57 Å. There are four inequivalent Ge sites. In the first Ge site, Ge is bonded in a 10-coordinate geometry to ten Mn atoms. In the second Ge site, Ge is bonded in a 10-coordinate geometry to ten Mn atoms. In the third Ge site, Ge is bonded in a 10-coordinate geometry to ten Mn atoms. In the fourth Ge site, Ge is bonded in a 10-coordinate geometry to ten Mn atoms.

36 MATERIALS SCIENCE↗

Materials Data on CaMn16O32 by Materials Project

CaMn16O32 is zeta iron carbide-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. Ca2+ is bonded in a 5-coordinate geometry to five O2- atoms. There are a spread of Ca–O bond distances ranging from 2.41–2.64 Å. There are twelve inequivalent Mn+3.88+ sites. In the first Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.90–2.07 Å. In the second Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.89–1.97 Å. In the third Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.90–1.97 Å. In the fourth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. In the fifth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.89–1.97 Å. In the sixth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–51°. There are a spread of Mn–O bond distances ranging from 1.91–2.05 Å. In the seventh Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 51°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the eighth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. In the ninth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 49–50°. There are a spread of Mn–O bond distances ranging from 1.90–2.00 Å. In the tenth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.91–1.99 Å. In the eleventh Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.91–1.96 Å. In the twelfth Mn+3.88+ site, Mn+3.88+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Ca2+ and three Mn+3.88+ atoms. In the sixth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.88+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the eighth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.88+ atoms. In the ninth O2- site, O2- is bonded in a trigonal planar geometry to three Mn+3.88+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.88+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the twentieth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.88+ atoms. In the twenty-first O2- site, O2- is bonded to one Ca2+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.88+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.88+ atoms. In the twenty-fourth O2- site, O2- is bonded to one Ca2+ and three Mn+3.88+ atoms to form a mixture of distorted edge and corner-sharing OCaMn3 trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on LiMn16O32 by Materials Project

LiMn16O32 is zeta iron carbide-derived structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. Li1+ is bonded in a bent 120 degrees geometry to two O2- atoms. There are one shorter (2.00 Å) and one longer (2.01 Å) Li–O bond lengths. There are twelve inequivalent Mn+3.94+ sites. In the first Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.93–2.00 Å. In the second Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. In the third Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.98 Å. In the fourth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the fifth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the sixth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the seventh Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.93–1.99 Å. In the eighth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–2.03 Å. In the ninth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the tenth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.96 Å. In the eleventh Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedra tilt angles range from 50–51°. There are a spread of Mn–O bond distances ranging from 1.92–1.95 Å. In the twelfth Mn+3.94+ site, Mn+3.94+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MnO6 octahedra. The corner-sharing octahedral tilt angles are 50°. There are a spread of Mn–O bond distances ranging from 1.92–1.97 Å. There are twenty-four inequivalent O2- sites. In the first O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the third O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the fourth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the fifth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the sixth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the eighth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the ninth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the eleventh O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the twelfth O2- site, O2- is bonded in a distorted trigonal planar geometry to three Mn+3.94+ atoms. In the thirteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the fourteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the fifteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the sixteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the seventeenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the eighteenth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.94+ atoms. In the nineteenth O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the twentieth O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.94+ atoms. In the twenty-first O2- site, O2- is bonded in a distorted trigonal non-coplanar geometry to three Mn+3.94+ atoms. In the twenty-second O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.94+ atoms. In the twenty-third O2- site, O2- is bonded in a 3-coordinate geometry to three Mn+3.94+ atoms. In the twenty-fourth O2- site, O2- is bonded in a distorted rectangular see-saw-like geometry to one Li1+ and three Mn+3.94+ atoms.

36 MATERIALS SCIENCE↗