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Materials Data on Mg3Mn5(BO4)4 by Materials Project

Mg3Mn5(BO4)4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are three inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MnO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Mg–O bond distances ranging from 2.03–2.34 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MnO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Mg–O bond distances ranging from 2.02–2.33 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with three MnO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with two equivalent MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–67°. There are a spread of Mg–O bond distances ranging from 2.04–2.35 Å. There are five inequivalent Mn+2.80+ sites. In the first Mn+2.80+ site, Mn+2.80+ 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 55–67°. There are a spread of Mn–O bond distances ranging from 2.07–2.37 Å. In the second Mn+2.80+ site, Mn+2.80+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share a cornercorner with one MnO6 octahedra, corners with two equivalent MgO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–67°. There are a spread of Mn–O bond distances ranging from 1.95–2.42 Å. In the third Mn+2.80+ site, Mn+2.80+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with three MgO6 octahedra and edges with six MnO6 octahedra. The corner-sharing octahedra tilt angles range from 55–66°. There are a spread of Mn–O bond distances ranging from 1.93–2.43 Å. In the fourth Mn+2.80+ site, Mn+2.80+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share corners with three MgO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 54–66°. There are a spread of Mn–O bond distances ranging from 1.94–2.40 Å. In the fifth Mn+2.80+ site, Mn+2.80+ is bonded to six O2- atoms to form MnO6 octahedra that share a cornercorner with one MgO6 octahedra, corners with two equivalent MnO6 octahedra, edges with two equivalent MgO6 octahedra, and edges with four MnO6 octahedra. The corner-sharing octahedra tilt angles range from 56–67°. There are a spread of Mn–O bond distances ranging from 1.93–2.38 Å. There are four inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.41 Å. In the third B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.41 Å) B–O bond length. In the fourth B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is one shorter (1.35 Å) and two longer (1.40 Å) B–O bond length. There are sixteen inequivalent O2- sites. In the first O2- site, O2- is bonded to four Mn+2.80+ atoms to form distorted OMn4 tetrahedra that share corners with two equivalent OMn4 tetrahedra and edges with two equivalent OMgMn3 tetrahedra. In the second O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Mg2+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+, one Mn+2.80+, and one B3+ atom. In the fourth O2- site, O2- is bonded in a 4-coordinate geometry to three Mn+2.80+ and one B3+ atom. In the fifth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, two equivalent Mn+2.80+, and one B3+ atom. In the sixth O2- site, O2- is bonded in a 4-coordinate geometry to three Mn+2.80+ and one B3+ atom. In the seventh O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Mg2+ and one B3+ atom. In the eighth O2- site, O2- is bonded to one Mg2+ and three Mn+2.80+ atoms to form a mixture of distorted edge and corner-sharing OMgMn3 tetrahedra. In the ninth O2- site, O2- is bonded to one Mg2+ and three Mn+2.80+ atoms to form a mixture of distorted edge and corner-sharing OMgMn3 tetrahedra. In the tenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Mg2+ and one B3+ atom. In the eleventh O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+, one Mn+2.80+, and one B3+ atom. In the twelfth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, two equivalent Mn+2.80+, and one B3+ atom. In the thirteenth O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, two equivalent Mn+2.80+, and one B3+ atom. In the fourteenth O2- site, O2- is bonded in a 4-coordinate geometry to two equivalent Mg2+, one Mn+2.80+, and one B3+ atom. In the fifteenth O2- site, O2- is bonded in a distorted trigonal planar geometry to two equivalent Mn+2.80+ and one B3+ atom. In the sixteenth O2- site, O2- is bonded to one Mg2+ and three Mn+2.80+ atoms to form distorted OMgMn3 tetrahedra that share corners with two equivalent OMgMn3 tetrahedra and edges with two equivalent OMn4 tetrahedra.

36 MATERIALS SCIENCE↗

Materials Data on MgMnB2O5 by Materials Project

MgMnB2O5 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share edges with two equivalent MnO6 octahedra and edges with four equivalent MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.06–2.19 Å. Mn2+ is bonded to six O2- atoms to form distorted MnO6 octahedra that share edges with two equivalent MgO6 octahedra and edges with two equivalent MnO6 octahedra. There are a spread of Mn–O bond distances ranging from 2.09–2.39 Å. There are two inequivalent B3+ sites. In the first B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There are a spread of B–O bond distances ranging from 1.35–1.42 Å. In the second B3+ site, B3+ is bonded in a trigonal planar geometry to three O2- atoms. There is two shorter (1.37 Å) and one longer (1.44 Å) B–O bond length. There are five inequivalent O2- sites. In the first O2- site, O2- is bonded in a 3-coordinate geometry to two equivalent Mn2+ and one B3+ atom. In the second O2- site, O2- is bonded in a 4-coordinate geometry to three equivalent Mg2+ and one B3+ atom. In the third O2- site, O2- is bonded in a 4-coordinate geometry to one Mg2+, two equivalent Mn2+, and one B3+ atom. In the fourth O2- site, O2- is bonded to two equivalent Mg2+, one Mn2+, and one B3+ atom to form distorted corner-sharing OMg2MnB tetrahedra. In the fifth O2- site, O2- is bonded in a 3-coordinate geometry to one Mn2+ and two B3+ atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Mn3(BO5)2 by Materials Project

Computed materials data using density functional theory calculations. These calculations determine the electronic structure of bulk materials by solving approximations to the Schrodinger equation. For more information, see https://materialsproject.org/docs/calculations

36 MATERIALS SCIENCE↗

Materials Data on Mg30MnBO32 by Materials Project

Mg30MnBO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.09 Å) and four longer (2.13 Å) Mg–O bond lengths. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent BO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.14 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Mg–O bond lengths are 2.13 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Mg–O bond lengths are 2.13 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one BO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.11–2.15 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. All Mg–O bond lengths are 2.13 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.12–2.14 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one BO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.12–2.14 Å. Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent BO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.17 Å) and two longer (2.20 Å) Mn–O bond lengths. B3- is bonded to six O2- atoms to form BO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.06 Å) and four longer (2.12 Å) B–O bond lengths. There are seventeen inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ and one Mn7+ atom to form a mixture of corner and edge-sharing OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O2- site, O2- is bonded to five Mg2+ and one B3- atom to form OMg5B octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.11 Å) and one longer (2.14 Å) O–Mg bond lengths. In the third O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. Both O–Mg bond lengths are 2.13 Å. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg5B octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.12 Å) and two longer (2.13 Å) O–Mg bond lengths. In the sixth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg5B octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.13 Å) and two longer (2.14 Å) O–Mg bond lengths. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O2- site, O2- is bonded to four equivalent Mg2+, one Mn7+, and one B3- atom to form OMg4MnB octahedra that share corners with six OMg4MnB octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the ninth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg4MnB octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg4MnB octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.13 Å) and two longer (2.14 Å) O–Mg bond lengths. In the eleventh O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the twelfth O2- site, O2- is bonded to five Mg2+ and one B3- atom to form OMg5B octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg5B octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the thirteenth O2- site, O2- is bonded to five Mg2+ and one Mn7+ atom to form a mixture of corner and edge-sharing OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.14 Å) and two longer (2.15 Å) O–Mg bond lengths. In the fourteenth O2- site, O2- is bonded to five Mg2+ and one B3- atom to form a mixture of corner and edge-sharing OMg5B octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.11 Å) and two longer (2.12 Å) O–Mg bond lengths. In the fifteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. The O–Mg bond length is 2.13 Å. In the sixteenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.12 Å) and three longer (2.13 Å) O–Mg bond lengths. In the seventeenth O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are three shorter (2.13 Å) and two longer (2.14 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Mg14MnBO16 by Materials Project

Mg14MnBO16 is alpha Po-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.09–2.13 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent BO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.11–2.14 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent BO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.06–2.18 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are five shorter (2.12 Å) and one longer (2.16 Å) Mg–O bond lengths. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.11–2.17 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one BO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.09–2.16 Å. Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent BO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mn–O bond distances ranging from 2.12–2.26 Å. B3- is bonded to six O2- atoms to form BO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent BO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of B–O bond distances ranging from 1.98–2.15 Å. There are ten inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ and one Mn7+ atom to form OMg5Mn octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O2- site, O2- is bonded to five Mg2+ and one B3- atom to form OMg5B octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O2- site, O2- is bonded to five Mg2+ and one Mn7+ atom to form OMg5Mn octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.12 Å) and two longer (2.16 Å) O–Mg bond lengths. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fifth O2- site, O2- is bonded to four Mg2+ and two equivalent Mn7+ atoms to form OMg4Mn2 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O2- site, O2- is bonded to four Mg2+ and two equivalent B3- atoms to form OMg4B2 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OMg5B octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg4B2 octahedra and edges with twelve OMg5B octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O2- site, O2- is bonded to four Mg2+, one Mn7+, and one B3- atom to form OMg4MnB octahedra that share corners with six OMg4MnB octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the tenth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg4MnB octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on Mg30MnBO32 by Materials Project

Mg30MnBO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent BO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.07–2.17 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.08 Å) and four longer (2.14 Å) Mg–O bond lengths. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.14 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent BO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.12 Å) and two longer (2.15 Å) Mg–O bond lengths. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one BO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.13 Å) and four longer (2.14 Å) Mg–O bond lengths. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one MnO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.12–2.14 Å. In the eighth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one BO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.11–2.15 Å. Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Mn–O bond lengths are 2.19 Å. B3- is bonded to six O2- atoms to form BO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.10 Å) and two longer (2.11 Å) B–O bond lengths. There are nine inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ and one Mn7+ atom to form OMg5Mn octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the third O2- site, O2- is bonded to five Mg2+ and one B3- atom to form a mixture of corner and edge-sharing OMg5B octahedra. The corner-sharing octahedral tilt angles are 0°. In the fourth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifth O2- site, O2- is bonded to five Mg2+ and one Mn7+ atom to form a mixture of corner and edge-sharing OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the sixth O2- site, O2- is bonded to five Mg2+ and one B3- atom to form OMg5B octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the seventh O2- site, O2- is bonded to six Mg2+ atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eighth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg5B octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O2- site, O2- is bonded to five Mg2+ and one Mn7+ atom to form a mixture of corner and edge-sharing OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of O–Mg bond distances ranging from 2.07–2.16 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg14MnBO16 by Materials Project

Mg14MnBO16 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are seven inequivalent Mg2+ sites. In the first Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent BO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.07–2.16 Å. In the second Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. In the third Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. In the fourth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent BO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. In the fifth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. In the sixth Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.12–2.15 Å. In the seventh Mg2+ site, Mg2+ is bonded to six O2- atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one BO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 Å. Mn7+ is bonded to six O2- atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.20 Å) Mn–O bond lengths. B3- is bonded to six O2- atoms to form BO6 octahedra that share corners with two equivalent BO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.11 Å) and two longer (2.12 Å) B–O bond lengths. There are seven inequivalent O2- sites. In the first O2- site, O2- is bonded to five Mg2+ and one Mn7+ atom to form a mixture of edge and corner-sharing OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O2- site, O2- is bonded to five Mg2+ and one B3- atom to form a mixture of edge and corner-sharing OMg5B octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the third O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the fourth O2- site, O2- is bonded to four Mg2+ and two equivalent Mn7+ atoms to form OMg4Mn2 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifth O2- site, O2- is bonded to six Mg2+ atoms to form OMg6 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O2- site, O2- is bonded to four equivalent Mg2+ and two equivalent B3- atoms to form OMg4B2 octahedra that share corners with six OMg6 octahedra and edges with twelve OMg5B octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O2- site, O2- is bonded to five Mg2+ and one Mn7+ atom to form a mixture of edge and corner-sharing OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–2°. Both O–Mg bond lengths are 2.16 Å.

36 MATERIALS SCIENCE↗