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Materials Data on Mg4Si3 by Materials Project

Mg4Si3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.83–3.11 Å. In the second Mg site, Mg is bonded in a 5-coordinate geometry to one Mg and five Si atoms. The Mg–Mg bond length is 3.01 Å. There are a spread of Mg–Si bond distances ranging from 2.70–3.00 Å. In the third Mg site, Mg is bonded in a 12-coordinate geometry to six Mg and six Si atoms. There are a spread of Mg–Mg bond distances ranging from 2.84–3.26 Å. There are a spread of Mg–Si bond distances ranging from 2.73–3.13 Å. In the fourth Mg site, Mg is bonded in a 4-coordinate geometry to two equivalent Mg and four Si atoms. There are a spread of Mg–Si bond distances ranging from 2.71–2.80 Å. In the fifth Mg site, Mg is bonded in a 10-coordinate geometry to one Mg and six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.84–3.08 Å. In the sixth Mg site, Mg is bonded in a 5-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.69–3.23 Å. In the seventh Mg site, Mg is bonded in a 4-coordinate geometry to one Mg and four Si atoms. There are a spread of Mg–Si bond distances ranging from 2.79–3.02 Å. In the eighth Mg site, Mg is bonded in a 7-coordinate geometry to one Mg and seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.73–3.10 Å. There are six inequivalent Si sites. In the first Si site, Si is bonded in a 8-coordinate geometry to seven Mg and one Si atom. The Si–Si bond length is 2.61 Å. In the second Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.51–2.60 Å. In the third Si site, Si is bonded in a 10-coordinate geometry to eight Mg and two Si atoms. The Si–Si bond length is 2.55 Å. In the fourth Si site, Si is bonded in a 9-coordinate geometry to seven Mg and two Si atoms. In the fifth Si site, Si is bonded in a 9-coordinate geometry to eight Mg and one Si atom. In the sixth Si site, Si is bonded in a 10-coordinate geometry to nine Mg and one Si atom.

36 MATERIALS SCIENCE↗

Materials Data on MgSi2 by Materials Project

MgSi2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.68–3.05 Å. In the second Mg site, Mg is bonded in a 5-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.70–3.19 Å. In the third Mg site, Mg is bonded in a 4-coordinate geometry to four Si atoms. There are a spread of Mg–Si bond distances ranging from 2.68–2.89 Å. In the fourth Mg site, Mg is bonded in a 6-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.75–3.06 Å. In the fifth Mg site, Mg is bonded in a 9-coordinate geometry to nine Si atoms. There are a spread of Mg–Si bond distances ranging from 2.67–3.01 Å. In the sixth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.66–2.90 Å. In the seventh Mg site, Mg is bonded in a 9-coordinate geometry to nine Si atoms. There are a spread of Mg–Si bond distances ranging from 2.71–3.04 Å. In the eighth Mg site, Mg is bonded in a 5-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.75–3.10 Å. There are sixteen inequivalent Si sites. In the first Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.40–2.42 Å. In the second Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms. There are one shorter (2.37 Å) and one longer (2.40 Å) Si–Si bond lengths. In the third Si site, Si is bonded in a distorted hexagonal planar geometry to two Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.38–2.51 Å. In the fourth Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. There are two shorter (2.45 Å) and one longer (2.51 Å) Si–Si bond lengths. In the fifth Si site, Si is bonded in a 6-coordinate geometry to two Mg and four Si atoms. There are one shorter (2.38 Å) and one longer (2.50 Å) Si–Si bond lengths. In the sixth Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. The Si–Si bond length is 2.42 Å. In the seventh Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. The Si–Si bond length is 2.52 Å. In the eighth Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms. There are one shorter (2.46 Å) and one longer (2.49 Å) Si–Si bond lengths. In the ninth Si site, Si is bonded in a 5-coordinate geometry to one Mg and four Si atoms. There are one shorter (2.37 Å) and one longer (2.52 Å) Si–Si bond lengths. In the tenth Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. There are one shorter (2.37 Å) and one longer (2.41 Å) Si–Si bond lengths. In the eleventh Si site, Si is bonded in a 6-coordinate geometry to two Mg and four Si atoms. There are one shorter (2.43 Å) and one longer (2.44 Å) Si–Si bond lengths. In the twelfth Si site, Si is bonded in a 6-coordinate geometry to four Mg and two Si atoms. The Si–Si bond length is 2.42 Å. In the thirteenth Si site, Si is bonded in a 7-coordinate geometry to three Mg and four Si atoms. In the fourteenth Si site, Si is bonded in a 7-coordinate geometry to three Mg and four Si atoms. In the fifteenth Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. In the sixteenth Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg14AlCdO16 by Materials Project

Mg14CdAlO16 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are nine inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent AlO6 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 2.09–2.27 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent CdO6 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 1.97–2.23 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent CdO6 octahedra, edges with two equivalent AlO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–16°. There are a spread of Mg–O bond distances ranging from 2.14–2.18 Å. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.15–2.17 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.14–2.17 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent CdO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Mg–O bond distances ranging from 2.12–2.21 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.14–2.17 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent CdO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Mg–O bond distances ranging from 2.12–2.21 Å. In the ninth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one CdO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–17°. There are a spread of Mg–O bond distances ranging from 2.14–2.22 Å. Cd is bonded to six O atoms to form CdO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent CdO6 octahedra, corners with two equivalent AlO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Cd–O bond distances ranging from 2.16–2.49 Å. Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent CdO6 octahedra, corners with two equivalent AlO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Al–O bond distances ranging from 1.83–2.16 Å. There are eleven inequivalent O sites. In the first O site, O is bonded to five Mg and one Al atom to form OMg5Al octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the second O site, O is bonded to five Mg and one Cd atom to form OMg5Cd octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the third O site, O is bonded to five Mg and one Cd atom to form OMg5Cd octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. Both O–Mg bond lengths are 2.16 Å. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifth O site, O is bonded to four Mg and two equivalent Al atoms to form OMg4Al2 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to four Mg and two equivalent Cd atoms to form OMg4Cd2 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Cd octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4Cd2 octahedra and edges with twelve OMg5Cd octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O site, O is bonded to four Mg, one Cd, and one Al atom to form distorted OMg4AlCd octahedra that share corners with six OMg4AlCd octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–16°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4AlCd octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4AlCd octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are two shorter (2.14 Å) and two longer (2.16 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on CaMg30SiO32 by Materials Project

CaMg30SiO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ca is bonded to six O atoms to form CaO6 octahedra that share corners with two equivalent SiO6 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 (2.21 Å) and four longer (2.26 Å) Ca–O bond lengths. There are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent CaO6 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 2.04–2.17 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO6 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 2.04–2.17 Å. In the third Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.13 Å) and two longer (2.15 Å) Mg–O bond lengths. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.13 Å) and two longer (2.15 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CaO6 octahedra, an edgeedge with one SiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Mg–O bond distances ranging from 2.11–2.19 Å. In the sixth Mg site, Mg is bonded to six O 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 2.14–2.16 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.18 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one SiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are four shorter (2.14 Å) and two longer (2.16 Å) Mg–O bond lengths. Si is bonded to six O atoms to form SiO6 octahedra that share corners with two equivalent CaO6 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 (2.26 Å) Si–O bond lengths. There are twelve inequivalent O sites. In the first O site, O is bonded to one Ca and five Mg atoms to form a mixture of edge and corner-sharing OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second O site, O is bonded to five Mg and one Si atom to form OMg5Si octahedra that share corners with six OCaMg5 octahedra and edges with twelve OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. Both O–Mg bond lengths are 2.15 Å. In the fourth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fifth O site, O is bonded to five Mg and one Si atom to form OMg5Si octahedra that share corners with six OCaMg5 octahedra and edges with twelve OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.13 Å) and two longer (2.16 Å) O–Mg bond lengths. In the sixth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the eighth O site, O is bonded to one Ca, four equivalent Mg, and one Si atom to form OCaMg4Si octahedra that share corners with six OCaMg4Si octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OCaMg4Si octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OCaMg4Si octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.11 Å) and two longer (2.16 Å) O–Mg bond lengths. In the eleventh O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedral tilt angles are 0°. In the twelfth O site, O is bonded to one Ca and five Mg atoms to form a mixture of edge and corner-sharing OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.16 Å) and two longer (2.18 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Si4 by Materials Project

Mg3Si4 is Magnesium tetraboride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Mg sites. In the first Mg site, Mg is bonded in a 6-coordinate geometry to two Mg and six Si atoms. There are one shorter (2.92 Å) and one longer (3.13 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.76–2.92 Å. In the second Mg site, Mg is bonded in a distorted trigonal pyramidal geometry to two Mg and five Si atoms. There are one shorter (2.89 Å) and one longer (3.11 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.73–3.20 Å. In the third Mg site, Mg is bonded in a 12-coordinate geometry to five Mg and seven Si atoms. There are a spread of Mg–Mg bond distances ranging from 2.97–3.19 Å. There are a spread of Mg–Si bond distances ranging from 2.72–3.24 Å. In the fourth Mg site, Mg is bonded in a 8-coordinate geometry to five Mg and eight Si atoms. There are one shorter (2.97 Å) and one longer (3.09 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.79–3.08 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to two Mg and six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.78–3.06 Å. In the sixth Mg site, Mg is bonded in a 6-coordinate geometry to two Mg and seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.84–3.13 Å. There are eight inequivalent Si sites. In the first Si site, Si is bonded in a 6-coordinate geometry to two Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.47–2.60 Å. In the second Si site, Si is bonded in a 8-coordinate geometry to four Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.48–2.56 Å. In the third Si site, Si is bonded in a 9-coordinate geometry to five Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.45–2.62 Å. In the fourth Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. In the fifth Si site, Si is bonded in a 8-coordinate geometry to four Mg and four Si atoms. The Si–Si bond length is 2.61 Å. In the sixth Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. In the seventh Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. In the eighth Si site, Si is bonded in a 7-coordinate geometry to six Mg and one Si atom.

36 MATERIALS SCIENCE↗

Materials Data on MgSi2 by Materials Project

MgSi2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded in a 7-coordinate geometry to eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.70–3.17 Å. In the second Mg site, Mg is bonded in a 8-coordinate geometry to eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.76–3.04 Å. In the third Mg site, Mg is bonded in a 5-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.75–3.21 Å. In the fourth Mg site, Mg is bonded in a 8-coordinate geometry to eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.76–3.06 Å. In the fifth Mg site, Mg is bonded in a 1-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.69–3.23 Å. In the sixth Mg site, Mg is bonded in a 8-coordinate geometry to eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.84–3.10 Å. In the seventh Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.60–2.97 Å. In the eighth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.68–2.93 Å. There are sixteen inequivalent Si sites. In the first Si site, Si is bonded in a distorted hexagonal planar geometry to two Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.42–2.51 Å. In the second Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.41–2.49 Å. In the third Si site, Si is bonded in a 8-coordinate geometry to four Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.44–2.59 Å. In the fourth Si site, Si is bonded in a 7-coordinate geometry to three Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.45–2.47 Å. In the fifth Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms. The Si–Si bond length is 2.42 Å. In the sixth Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. There are one shorter (2.36 Å) and one longer (2.38 Å) Si–Si bond lengths. In the seventh Si site, Si is bonded in a 6-coordinate geometry to four Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.37–2.43 Å. In the eighth Si site, Si is bonded in a 1-coordinate geometry to three Mg and four Si atoms. There are one shorter (2.40 Å) and one longer (2.91 Å) Si–Si bond lengths. In the ninth Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms. The Si–Si bond length is 2.53 Å. In the tenth Si site, Si is bonded in a distorted hexagonal pyramidal geometry to three Mg and four Si atoms. The Si–Si bond length is 2.42 Å. In the eleventh Si site, Si is bonded in a 5-coordinate geometry to two Mg and three Si atoms. The Si–Si bond length is 2.42 Å. In the twelfth Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. The Si–Si bond length is 2.43 Å. In the thirteenth Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. In the fourteenth Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. In the fifteenth Si site, Si is bonded in a 6-coordinate geometry to three Mg and four Si atoms. In the sixteenth Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Si4 by Materials Project

Mg3Si4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Mg sites. In the first Mg site, Mg is bonded in a 7-coordinate geometry to one Mg and seven Si atoms. The Mg–Mg bond length is 3.14 Å. There are a spread of Mg–Si bond distances ranging from 2.71–3.05 Å. In the second Mg site, Mg is bonded to four Mg and five Si atoms to form distorted edge-sharing MgMg4Si5 trigonal pyramids. There are a spread of Mg–Mg bond distances ranging from 3.06–3.28 Å. There are a spread of Mg–Si bond distances ranging from 2.80–3.18 Å. In the third Mg site, Mg is bonded in a 7-coordinate geometry to five Mg and nine Si atoms. There are a spread of Mg–Mg bond distances ranging from 3.05–3.27 Å. There are a spread of Mg–Si bond distances ranging from 2.93–3.28 Å. In the fourth Mg site, Mg is bonded in a 7-coordinate geometry to five Mg and eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.93–3.26 Å. In the fifth Mg site, Mg is bonded in a 3-coordinate geometry to two Mg and nine Si atoms. The Mg–Mg bond length is 2.92 Å. There are a spread of Mg–Si bond distances ranging from 2.72–3.22 Å. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to three Mg and eleven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.72–3.03 Å. There are eight inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to seven Mg and two Si atoms. There are one shorter (2.50 Å) and one longer (2.63 Å) Si–Si bond lengths. In the second Si site, Si is bonded in a 11-coordinate geometry to six Mg and five Si atoms. There are a spread of Si–Si bond distances ranging from 2.62–2.71 Å. In the third Si site, Si is bonded in a 9-coordinate geometry to five Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.41–2.57 Å. In the fourth Si site, Si is bonded in a 1-coordinate geometry to six Mg and four Si atoms. The Si–Si bond length is 2.40 Å. In the fifth Si site, Si is bonded in a 8-coordinate geometry to six Mg and three Si atoms. The Si–Si bond length is 2.45 Å. In the sixth Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. There are one shorter (2.53 Å) and one longer (2.54 Å) Si–Si bond lengths. In the seventh Si site, Si is bonded in a 11-coordinate geometry to eight Mg and three Si atoms. In the eighth Si site, Si is bonded in a 9-coordinate geometry to five Mg and four Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgSi2 by Materials Project

MgSi2 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded in a 6-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.76–2.97 Å. In the second Mg site, Mg is bonded in a 6-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.73–3.06 Å. In the third Mg site, Mg is bonded in a 6-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.72–3.09 Å. In the fourth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.76–2.85 Å. In the fifth Mg site, Mg is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.70–3.07 Å. In the sixth Mg site, Mg is bonded in a 6-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.72–2.90 Å. In the seventh Mg site, Mg is bonded in a 4-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.74–3.10 Å. In the eighth Mg site, Mg is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.65–2.94 Å. There are sixteen inequivalent Si sites. In the first Si site, Si is bonded in a 6-coordinate geometry to two Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.39–2.46 Å. In the second Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.39–2.47 Å. In the third Si site, Si is bonded in a 6-coordinate geometry to four Mg and two Si atoms. Both Si–Si bond lengths are 2.39 Å. In the fourth Si site, Si is bonded in a 6-coordinate geometry to two Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.34–2.52 Å. In the fifth Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. The Si–Si bond length is 2.40 Å. In the sixth Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. There are one shorter (2.40 Å) and one longer (2.43 Å) Si–Si bond lengths. In the seventh Si site, Si is bonded in a distorted pentagonal pyramidal geometry to three Mg and three Si atoms. There are one shorter (2.39 Å) and one longer (2.41 Å) Si–Si bond lengths. In the eighth Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. There are one shorter (2.39 Å) and one longer (2.46 Å) Si–Si bond lengths. In the ninth Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. The Si–Si bond length is 2.43 Å. In the tenth Si site, Si is bonded in a 5-coordinate geometry to two Mg and three Si atoms. The Si–Si bond length is 2.37 Å. In the eleventh Si site, Si is bonded in a 5-coordinate geometry to two Mg and three Si atoms. The Si–Si bond length is 2.36 Å. In the twelfth Si site, Si is bonded in a 6-coordinate geometry to four Mg and two Si atoms. The Si–Si bond length is 2.43 Å. In the thirteenth Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. In the fourteenth Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. In the fifteenth Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. In the sixteenth Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg14CdC by Materials Project

Mg14CdC crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are seven inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.04–3.41 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.11–3.25 Å. In the third Mg site, Mg is bonded in a distorted single-bond geometry to two equivalent Mg, two equivalent Cd, and one C atom. Both Mg–Mg bond lengths are 3.03 Å. There are one shorter (2.96 Å) and one longer (3.41 Å) Mg–Cd bond lengths. The Mg–C bond length is 2.27 Å. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form a mixture of distorted edge, corner, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.05–3.45 Å. In the fifth Mg site, Mg is bonded in a distorted single-bond geometry to five Mg and one Cd atom. There are one shorter (3.18 Å) and one longer (3.25 Å) Mg–Mg bond lengths. The Mg–Cd bond length is 2.81 Å. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to eleven Mg and one Cd atom. Both Mg–Mg bond lengths are 3.35 Å. The Mg–Cd bond length is 3.17 Å. In the seventh Mg site, Mg is bonded in a single-bond geometry to five Mg and one C atom. The Mg–C bond length is 2.59 Å. Cd is bonded in a 10-coordinate geometry to ten Mg atoms. C is bonded in a 2-coordinate geometry to four Mg atoms.

36 MATERIALS SCIENCE↗

Materials Data on YMg30ZnO32 by Materials Project

Mg30YZnO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.08 Å) and four longer (2.16 Å) Mg–O bond lengths. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent ZnO6 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 (2.16 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.14 Å) and two longer (2.15 Å) Mg–O bond lengths. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.15 Å) and two longer (2.16 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one ZnO6 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 2.10–2.22 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.15–2.17 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one YO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are a spread of Mg–O bond distances ranging from 2.10–2.21 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one ZnO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.15 Å) and four longer (2.16 Å) Mg–O bond lengths. Y is bonded to six O atoms to form YO6 octahedra that share corners with two equivalent ZnO6 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 (2.21 Å) and four longer (2.23 Å) Y–O bond lengths. Zn is bonded to six O atoms to form ZnO6 octahedra that share corners with two equivalent YO6 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 (2.11 Å) and four longer (2.22 Å) Zn–O bond lengths. There are twelve inequivalent O sites. In the first O site, O is bonded to five Mg and one Y atom to form OYMg5 octahedra that share corners with six OMg5Zn octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O site, O is bonded to five Mg and one Zn atom to form OMg5Zn octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg5Zn octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fifth O site, O is bonded to five Mg and one Y atom to form a mixture of edge and corner-sharing OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of O–Mg bond distances ranging from 2.08–2.22 Å. In the sixth O site, O is bonded to five Mg and one Zn atom to form a mixture of edge and corner-sharing OMg5Zn octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.10 Å) and two longer (2.16 Å) O–Mg bond lengths. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OMg5Zn octahedra. The corner-sharing octahedra tilt angles range from 0–2°. All O–Mg bond lengths are 2.15 Å. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the ninth O site, O is bonded to four equivalent Mg, one Y, and one Zn atom to form OYMg4Zn octahedra that share corners with six OYMg4Zn octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the tenth O site, O is bonded to four equivalent Mg, one Y, and one Zn atom to form OYMg4Zn octahedra that share corners with six OYMg4Zn octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. All O–Mg bond lengths are 2.21 Å. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OYMg4Zn octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the twelfth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗

Materials Data on HfMg30CuO32 by Materials Project

Mg30HfCuO32 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, corners with two equivalent CuO6 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 2.01–2.21 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent CuO6 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 (2.03 Å) and four longer (2.18 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O 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 2.13–2.17 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent HfO6 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 (2.13 Å) and two longer (2.19 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, an edgeedge with one CuO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Mg–O bond distances ranging from 2.08–2.25 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Mg–O bond distances ranging from 2.13–2.17 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CuO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Mg–O bond distances ranging from 2.12–2.19 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Mg–O bond distances ranging from 2.09–2.22 Å. Hf is bonded to six O atoms to form HfO6 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 (2.09 Å) and two longer (2.11 Å) Hf–O bond lengths. Cu is bonded to six O atoms to form CuO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.27 Å) and four longer (2.30 Å) Cu–O bond lengths. There are twelve inequivalent O sites. In the first O site, O is bonded to five Mg and one Cu atom to form OMg5Cu octahedra that share corners with six OMg5Cu octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Cu octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O site, O is bonded to five Mg and one Hf atom to form a mixture of corner and edge-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Cu octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.09 Å) and two longer (2.19 Å) O–Mg bond lengths. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the sixth O site, O is bonded to five Mg and one Cu atom to form a mixture of corner and edge-sharing OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the seventh O site, O is bonded to five Mg and one Cu atom to form a mixture of corner and edge-sharing OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are two shorter (2.08 Å) and two longer (2.14 Å) O–Mg bond lengths. In the eighth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OMg5Cu octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the ninth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eleventh O site, O is bonded to five Mg and one Cu atom to form a mixture of corner and edge-sharing OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are one shorter (2.01 Å) and two longer (2.14 Å) O–Mg bond lengths. In the twelfth O site, O is bonded to five Mg and one Cu atom to form a mixture of corner and edge-sharing OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are a spread of O–Mg bond distances ranging from 2.01–2.14 Å.

36 MATERIALS SCIENCE↗

Materials Data on HfMg30NiO32 by Materials Project

Mg30HfNiO32 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, corners with two equivalent NiO6 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 2.01–2.22 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent NiO6 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 (2.07 Å) and four longer (2.17 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.12–2.18 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent HfO6 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 (2.13 Å) and two longer (2.18 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 5–13°. There are a spread of Mg–O bond distances ranging from 2.08–2.25 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Mg–O bond distances ranging from 2.13–2.18 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Mg–O bond distances ranging from 2.09–2.23 Å. Hf is bonded to six O atoms to form HfO6 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 (2.09 Å) and two longer (2.10 Å) Hf–O bond lengths. Ni is bonded to six O atoms to form NiO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.21 Å) and four longer (2.30 Å) Ni–O bond lengths. There are twelve inequivalent O sites. In the first O site, O is bonded to five Mg and one Ni atom to form OMg5Ni octahedra that share corners with six OMg5Ni octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Ni octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the third O site, O is bonded to five Mg and one Hf atom to form a mixture of edge and corner-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Ni octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.09 Å) and two longer (2.19 Å) O–Mg bond lengths. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Ni octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the sixth O site, O is bonded to five Mg and one Ni atom to form a mixture of edge and corner-sharing OMg5Ni octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the seventh O site, O is bonded to five Mg and one Ni atom to form a mixture of edge and corner-sharing OMg5Ni octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are two shorter (2.08 Å) and two longer (2.13 Å) O–Mg bond lengths. In the eighth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OMg5Ni octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the ninth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eleventh O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are one shorter (2.14 Å) and two longer (2.15 Å) O–Mg bond lengths. In the twelfth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. Both O–Mg bond lengths are 2.09 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg14MnSiO16 by Materials Project

Mg14MnSiO16 is alpha Po-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are nine inequivalent Mg sites. In the first Mg site, Mg is bonded to six O 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 2.08–2.15 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO6 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 2.05–2.16 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent SiO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of Mg–O bond distances ranging from 2.14–2.16 Å. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.15 Å) and two longer (2.17 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O 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 0–3°. There are a spread of Mg–O bond distances ranging from 2.14–2.17 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent SiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.13–2.18 Å. In the seventh Mg site, Mg is bonded to six O 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 0–3°. There are a spread of Mg–O bond distances ranging from 2.14–2.17 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent SiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.13–2.18 Å. In the ninth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one MnO6 octahedra, an edgeedge with one SiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.14–2.18 Å. Mn is bonded to six O atoms to form MnO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent SiO6 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 2.13–2.23 Å. Si is bonded to six O atoms to form SiO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent SiO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Si–O bond distances ranging from 2.15–2.27 Å. There are eleven inequivalent O sites. In the first O site, O is bonded to five Mg and one Mn 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 0–4°. In the second O site, O is bonded to five Mg and one Si atom to form OMg5Si octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O site, O is bonded to five Mg and one Mn 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 0–4°. Both O–Mg bond lengths are 2.15 Å. In the fourth O site, O is bonded to five Mg and one Si atom to form OMg5Si octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. Both O–Mg bond lengths are 2.15 Å. In the fifth O site, O is bonded to six Mg 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 sixth O site, O is bonded to four Mg and two equivalent Mn 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 seventh O site, O is bonded to four Mg and two equivalent Si atoms to form OMg4Si2 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OMg5Si octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to six Mg 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 ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4Si2 octahedra and edges with twelve OMg5Si octahedra. The corner-sharing octahedral tilt angles are 0°. In the tenth O site, O is bonded to four Mg, one Mn, and one Si atom to form OMg4MnSi octahedra that share corners with six OMg4MnSi octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4MnSi octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Si4 by Materials Project

Mg3Si4 is Magnesium tetraboride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Mg sites. In the first Mg site, Mg is bonded in a 6-coordinate geometry to one Mg and six Si atoms. The Mg–Mg bond length is 3.12 Å. There are a spread of Mg–Si bond distances ranging from 2.74–2.98 Å. In the second Mg site, Mg is bonded in a 8-coordinate geometry to eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.78–3.12 Å. In the third Mg site, Mg is bonded in a 5-coordinate geometry to two equivalent Mg and five Si atoms. There are one shorter (3.15 Å) and one longer (3.35 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.69–2.91 Å. In the fourth Mg site, Mg is bonded in a 7-coordinate geometry to one Mg and seven Si atoms. The Mg–Mg bond length is 3.04 Å. There are a spread of Mg–Si bond distances ranging from 2.74–3.09 Å. In the fifth Mg site, Mg is bonded in a 7-coordinate geometry to one Mg and seven Si atoms. The Mg–Mg bond length is 3.14 Å. There are a spread of Mg–Si bond distances ranging from 2.73–2.99 Å. In the sixth Mg site, Mg is bonded in a 3-coordinate geometry to five Mg and eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.82–3.19 Å. There are eight inequivalent Si sites. In the first Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.38–2.45 Å. In the second Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. There are one shorter (2.37 Å) and one longer (2.43 Å) Si–Si bond lengths. In the third Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. There are one shorter (2.41 Å) and one longer (2.48 Å) Si–Si bond lengths. In the fourth Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. There are one shorter (2.39 Å) and one longer (2.47 Å) Si–Si bond lengths. In the fifth Si site, Si is bonded in a 8-coordinate geometry to seven Mg and one Si atom. In the sixth Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. The Si–Si bond length is 2.45 Å. In the seventh Si site, Si is bonded in a 1-coordinate geometry to four Mg and three Si atoms. In the eighth Si site, Si is bonded in a 9-coordinate geometry to seven Mg and two Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg30CuSiO32 by Materials Project

Mg30CuSiO32 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent CuO6 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 2.02–2.21 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO6 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 2.08–2.33 Å. In the third Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.12 Å) and two longer (2.17 Å) Mg–O bond lengths. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.16 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CuO6 octahedra, an edgeedge with one SiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–22°. There are a spread of Mg–O bond distances ranging from 2.11–2.19 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Mg–O bond distances ranging from 2.13–2.16 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CuO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.12–2.16 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one SiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are four shorter (2.13 Å) and two longer (2.14 Å) Mg–O bond lengths. Cu is bonded to six O atoms to form CuO6 octahedra that share corners with two equivalent SiO6 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 (2.24 Å) and two longer (2.51 Å) Cu–O bond lengths. Si is bonded to six O atoms to form SiO6 octahedra that share corners with two equivalent CuO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There is two shorter (1.78 Å) and four longer (1.93 Å) Si–O bond length. There are eleven inequivalent O sites. In the first O site, O is bonded to five Mg and one Cu atom to form a mixture of edge and corner-sharing OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O site, O is bonded to five Mg and one Si atom to form OMg5Si octahedra that share corners with six OMg5Cu octahedra and edges with ten OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the fourth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. Both O–Mg bond lengths are 2.16 Å. In the fifth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are two shorter (2.13 Å) and two longer (2.16 Å) O–Mg bond lengths. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with eleven OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the seventh O site, O is bonded in a 6-coordinate geometry to four equivalent Mg, one Cu, and one Si atom. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra and edges with twelve OMg5Cu octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the ninth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. The O–Mg bond length is 2.10 Å. In the eleventh O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of O–Mg bond distances ranging from 2.10–2.16 Å.

36 MATERIALS SCIENCE↗

Materials Data on SrMg14Fe by Materials Project

SrMg14Fe crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Sr is bonded to ten Mg and two equivalent Fe atoms to form SrMg10Fe2 cuboctahedra that share corners with six equivalent SrMg10Fe2 cuboctahedra, corners with twelve MgMg12 cuboctahedra, and faces with two equivalent MgMg12 cuboctahedra. There are a spread of Sr–Mg bond distances ranging from 3.28–3.32 Å. Both Sr–Fe bond lengths are 3.10 Å. There are seven inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent SrMg10Fe2 cuboctahedra, corners with six equivalent MgMg12 cuboctahedra, edges with six MgMg12 cuboctahedra, and faces with six MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.09–3.33 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with six equivalent MgMg12 cuboctahedra, edges with six MgMg12 cuboctahedra, faces with two equivalent SrMg10Fe2 cuboctahedra, and faces with six MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.13–3.34 Å. In the third Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Sr, eight Mg, and two equivalent Fe atoms. There are a spread of Mg–Mg bond distances ranging from 3.00–3.34 Å. There are one shorter (3.00 Å) and one longer (3.61 Å) Mg–Fe bond lengths. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent SrMg10Fe2 cuboctahedra, corners with six equivalent MgMg12 cuboctahedra, edges with six MgMg12 cuboctahedra, and faces with six MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.04–3.40 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to one Sr, ten Mg, and one Fe atom. There are a spread of Mg–Mg bond distances ranging from 2.99–3.41 Å. The Mg–Fe bond length is 3.15 Å. In the sixth Mg site, Mg is bonded in a distorted single-bond geometry to eleven Mg and one Fe atom. Both Mg–Mg bond lengths are 3.11 Å. The Mg–Fe bond length is 3.08 Å. In the seventh Mg site, Mg is bonded in a 12-coordinate geometry to one Sr and eleven Mg atoms. Fe is bonded in a 10-coordinate geometry to two equivalent Sr and ten Mg atoms.

36 MATERIALS SCIENCE↗

Materials Data on HfMg30BiO32 by Materials Project

Mg30HfBiO32 is Caswellsilverite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent BiO6 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 1.87–2.27 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent HfO6 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 2.10–2.20 Å. In the third Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.12 Å) and two longer (2.21 Å) Mg–O bond lengths. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.15 Å) and four longer (2.17 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, an edgeedge with one BiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 4–13°. There are a spread of Mg–O bond distances ranging from 2.09–2.28 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Mg–O bond distances ranging from 2.16–2.20 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one BiO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–14°. There are a spread of Mg–O bond distances ranging from 2.14–2.22 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–5°. There are a spread of Mg–O bond distances ranging from 2.12–2.24 Å. Hf is bonded to six O atoms to form HfO6 octahedra that share corners with two equivalent BiO6 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 (1.97 Å) and four longer (2.15 Å) Hf–O bond lengths. Bi is bonded to six O atoms to form BiO6 octahedra that share corners with two equivalent HfO6 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 (2.39 Å) and four longer (2.48 Å) Bi–O bond lengths. There are eleven inequivalent O sites. In the first O site, O is bonded to five Mg and one Bi atom to form distorted OMg5Bi octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg5Bi octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the second O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OMg5Bi octahedra and edges with twelve OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. In the fourth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. Both O–Mg bond lengths are 2.19 Å. In the fifth O site, O is bonded to five Mg and one Bi atom to form a mixture of distorted corner and edge-sharing OMg5Bi octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of O–Mg bond distances ranging from 1.87–2.22 Å. In the sixth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.12 Å) and two longer (2.19 Å) O–Mg bond lengths. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Bi octahedra. The corner-sharing octahedra tilt angles range from 2–6°. In the eighth O site, O is bonded to four equivalent Mg, one Hf, and one Bi atom to form distorted OHfMg4Bi octahedra that share corners with six OHfMg4Bi octahedra and edges with twelve OMg5Bi octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg4Bi octahedra and edges with twelve OMg5Bi octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the tenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the eleventh O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. The O–Mg bond length is 2.18 Å.

36 MATERIALS SCIENCE↗

Materials Data on KMg14Co by Materials Project

KMg14Co crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. K is bonded to ten Mg and two equivalent Co atoms to form KMg10Co2 cuboctahedra that share corners with six equivalent KMg10Co2 cuboctahedra, corners with twelve MgMg12 cuboctahedra, edges with two equivalent CoK2Mg10 cuboctahedra, edges with four equivalent MgKMg11 cuboctahedra, faces with two equivalent CoK2Mg10 cuboctahedra, and faces with four MgMg12 cuboctahedra. There are a spread of K–Mg bond distances ranging from 3.17–3.35 Å. Both K–Co bond lengths are 3.25 Å. There are seven inequivalent Mg sites. In the first Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent KMg10Co2 cuboctahedra, corners with six equivalent MgMg12 cuboctahedra, edges with six MgMg12 cuboctahedra, faces with two equivalent CoK2Mg10 cuboctahedra, and faces with twelve MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.36 Å. In the second Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent CoK2Mg10 cuboctahedra, corners with six equivalent MgMg12 cuboctahedra, edges with ten MgMg12 cuboctahedra, faces with two equivalent KMg10Co2 cuboctahedra, and faces with eight MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.29 Å. In the third Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent K, eight Mg, and two equivalent Co atoms. There are a spread of Mg–Mg bond distances ranging from 3.12–3.34 Å. There are one shorter (3.05 Å) and one longer (3.32 Å) Mg–Co bond lengths. In the fourth Mg site, Mg is bonded to twelve Mg atoms to form MgMg12 cuboctahedra that share corners with four equivalent KMg10Co2 cuboctahedra, corners with four equivalent CoK2Mg10 cuboctahedra, corners with six equivalent MgMg12 cuboctahedra, edges with ten MgMg12 cuboctahedra, and faces with eight MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.12–3.42 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to one K, ten Mg, and one Co atom. There are a spread of Mg–Mg bond distances ranging from 3.07–3.42 Å. The Mg–Co bond length is 3.15 Å. In the sixth Mg site, Mg is bonded in a distorted single-bond geometry to eleven Mg and one Co atom. Both Mg–Mg bond lengths are 3.27 Å. The Mg–Co bond length is 3.06 Å. In the seventh Mg site, Mg is bonded to one K and eleven Mg atoms to form distorted MgKMg11 cuboctahedra that share corners with six equivalent MgKMg11 cuboctahedra, edges with two equivalent KMg10Co2 cuboctahedra, edges with six MgMg12 cuboctahedra, a faceface with one KMg10Co2 cuboctahedra, faces with three equivalent CoK2Mg10 cuboctahedra, and faces with eight MgMg12 cuboctahedra. Co is bonded to two equivalent K and ten Mg atoms to form CoK2Mg10 cuboctahedra that share corners with six equivalent CoK2Mg10 cuboctahedra, corners with twelve MgMg12 cuboctahedra, edges with two equivalent KMg10Co2 cuboctahedra, faces with two equivalent KMg10Co2 cuboctahedra, and faces with eight MgMg12 cuboctahedra.

36 MATERIALS SCIENCE↗