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Materials Data on Mg16Al12Mo by Materials Project

Mg16MoAl12 crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 2.96–3.11 Å. There are a spread of Mg–Al bond distances ranging from 2.98–3.13 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to six Mg, one Mo, and five Al atoms. There are two shorter (3.17 Å) and two longer (3.30 Å) Mg–Mg bond lengths. The Mg–Mo bond length is 3.03 Å. There are a spread of Mg–Al bond distances ranging from 2.95–3.17 Å. In the third Mg site, Mg is bonded in a distorted single-bond geometry to three equivalent Mg, one Mo, and twelve Al atoms. All Mg–Mg bond lengths are 3.14 Å. The Mg–Mo bond length is 2.79 Å. There are a spread of Mg–Al bond distances ranging from 3.13–3.20 Å. In the fourth Mg site, Mg is bonded in a 10-coordinate geometry to four Mg and six Al atoms. Both Mg–Mg bond lengths are 3.03 Å. There are a spread of Mg–Al bond distances ranging from 3.09–3.17 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to five Mg and five Al atoms. There are a spread of Mg–Al bond distances ranging from 2.87–3.13 Å. Mo is bonded in a 10-coordinate geometry to four Mg and six equivalent Al atoms. All Mo–Al bond lengths are 2.81 Å. There are three inequivalent Al sites. In the first Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.68 Å) and two longer (2.82 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a distorted q6 geometry to eight Mg and three Al atoms. Both Al–Al bond lengths are 2.76 Å. In the third Al site, Al is bonded in a 12-coordinate geometry to seven Mg, one Mo, and three Al atoms. There are one shorter (2.62 Å) and one longer (2.64 Å) Al–Al bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on YMg30CO32 by Materials Project

Mg30YO32C crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional and consists of one methane molecule and one Mg30YO32 framework. In the Mg30YO32 framework, 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 YO6 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 1.99–2.17 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent 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 (2.05 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 corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.09 Å) and four 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 corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.08 Å) and four 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 YO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–14°. 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 1–4°. There are four shorter (2.14 Å) and two longer (2.17 Å) Mg–O bond lengths. 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 0–3°. There are a spread of Mg–O bond distances ranging from 2.09–2.22 Å. In the eighth 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 1–10°. There are a spread of Mg–O bond distances ranging from 2.11–2.18 Å. Y is bonded to six O atoms to form YO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Y–O bond lengths are 2.22 Å. There are nine inequivalent O sites. In the first O site, O is bonded to five Mg and one Y atom to form a mixture of corner and edge-sharing OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OYMg5 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the third O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with four equivalent OMg6 octahedra, corners with five OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedral tilt angles are 4°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OYMg5 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.09 Å) and two longer (2.18 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, edges with nine OYMg5 octahedra, and edges with three OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 1–7°. In the sixth O site, O is bonded to five Mg and one Y atom to form OYMg5 octahedra that share corners with four OYMg5 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OYMg5 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the seventh O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with four OYMg5 octahedra, corners with five OMg5 square pyramids, and edges with eight OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 6–8°. In the eighth 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 0–2°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–1°.

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 1-coordinate geometry to three Si atoms. There are a spread of Mg–Si bond distances ranging from 2.16–2.72 Å. In the second Mg site, Mg is bonded in a 4-coordinate geometry to one Mg and two Si atoms. The Mg–Mg bond length is 2.24 Å. There are one shorter (2.22 Å) and one longer (2.26 Å) Mg–Si bond lengths. In the third Mg site, Mg is bonded in a 1-coordinate geometry to four Si atoms. There are a spread of Mg–Si bond distances ranging from 1.75–2.56 Å. In the fourth Mg site, Mg is bonded in a 6-coordinate geometry to two Mg and four Si atoms. There are one shorter (2.39 Å) and one longer (2.45 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.36–3.15 Å. In the fifth Mg site, Mg is bonded in a 2-coordinate geometry to one Mg and two Si atoms. There are one shorter (2.13 Å) and one longer (2.31 Å) Mg–Si bond lengths. In the sixth Mg site, Mg is bonded in a 4-coordinate geometry to two Mg and two Si atoms. There are one shorter (2.55 Å) and one longer (2.79 Å) Mg–Si bond lengths. There are eight inequivalent Si sites. In the first Si site, Si is bonded in a distorted single-bond geometry to one Mg and one Si atom. The Si–Si bond length is 2.32 Å. In the second Si site, Si is bonded in a 5-coordinate geometry to three Mg and two Si atoms. The Si–Si bond length is 2.08 Å. In the third Si site, Si is bonded in a distorted single-bond geometry to two Mg atoms. In the fourth Si site, Si is bonded in a distorted single-bond geometry to two Mg atoms. In the fifth Si site, Si is bonded in a 1-coordinate geometry to three Mg atoms. In the sixth Si site, Si is bonded in a 2-coordinate geometry to three Mg atoms. In the seventh Si site, Si is bonded in a 2-coordinate geometry to two Mg atoms. In the eighth Si site, Si is bonded in a distorted single-bond geometry to one Mg and one Si atom.

36 MATERIALS SCIENCE↗

Materials Data on K3Ca2Mg10Si16(HO12)4 by Materials Project

K3Ca2Mg10Si16(HO12)4 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are two inequivalent K sites. In the first K site, K is bonded in a 1-coordinate geometry to four O atoms. There are a spread of K–O bond distances ranging from 2.39–2.80 Å. In the second K site, K is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.34–2.77 Å. Ca is bonded in a 7-coordinate geometry to one H and six O atoms. The Ca–H bond length is 2.24 Å. There are a spread of Ca–O bond distances ranging from 2.23–2.42 Å. There are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 6-coordinate geometry to one H and five O atoms. The Mg–H bond length is 2.07 Å. There are a spread of Mg–O bond distances ranging from 1.89–2.34 Å. In the second Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 1.97–2.40 Å. In the third Mg site, Mg is bonded in a distorted rectangular see-saw-like geometry to four O atoms. There are a spread of Mg–O bond distances ranging from 1.87–2.17 Å. In the fourth Mg site, Mg is bonded in a 4-coordinate geometry to four O atoms. There are a spread of Mg–O bond distances ranging from 1.95–2.48 Å. In the fifth Mg site, Mg is bonded in a 6-coordinate geometry to six O atoms. There are a spread of Mg–O bond distances ranging from 1.95–2.52 Å. There are eight inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with two SiO4 tetrahedra and a cornercorner with one SiO5 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.62–1.70 Å. In the second Si site, Si is bonded to four O atoms to form distorted SiO4 tetrahedra that share a cornercorner with one SiO4 tetrahedra and a cornercorner with one SiHO4 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.63–1.75 Å. In the third Si site, Si is bonded to four O atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.61–1.69 Å. In the fourth Si site, Si is bonded to four O atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the fifth Si site, Si is bonded to four O atoms to form corner-sharing SiO4 tetrahedra. There are a spread of Si–O bond distances ranging from 1.58–1.68 Å. In the sixth Si site, Si is bonded to five O atoms to form distorted SiO5 trigonal bipyramids that share corners with two SiO4 tetrahedra and a cornercorner with one SiHO4 trigonal bipyramid. There are a spread of Si–O bond distances ranging from 1.68–1.94 Å. In the seventh Si site, Si is bonded in a see-saw-like geometry to four O atoms. There are a spread of Si–O bond distances ranging from 1.69–1.82 Å. In the eighth Si site, Si is bonded to one H and four O atoms to form distorted SiHO4 trigonal bipyramids that share a cornercorner with one SiO4 tetrahedra and a cornercorner with one SiO5 trigonal bipyramid. The Si–H bond length is 1.61 Å. There are a spread of Si–O bond distances ranging from 1.68–1.76 Å. There are two inequivalent H sites. In the first H site, H is bonded in a distorted trigonal non-coplanar geometry to one Ca, one Mg, and one Si atom. In the second H site, H is bonded in a single-bond geometry to one O atom. The H–O bond length is 0.99 Å. There are twenty-four inequivalent O sites. In the first O site, O is bonded in a distorted bent 120 degrees geometry to two Si atoms. In the second O site, O is bonded in a distorted trigonal planar geometry to one Mg and two Si atoms. In the third O site, O is bonded in a distorted rectangular see-saw-like geometry to one K, one Ca, one Si, and one O atom. The O–O bond length is 1.47 Å. In the fourth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the fifth O site, O is bonded in a distorted trigonal pyramidal geometry to three Mg and one Si atom. In the sixth O site, O is bonded in a 2-coordinate geometry to two Mg and one Si atom. In the seventh O site, O is bonded in a 4-coordinate geometry to one K, one Mg, and two Si atoms. In the eighth O site, O is bonded in a 4-coordinate geometry to one K, two Mg, and one Si atom. In the ninth O site, O is bonded in a distorted trigonal non-coplanar geometry to one Ca, one Mg, and one Si atom. In the tenth O site, O is bonded in a 3-coordinate geometry to two equivalent Mg and one O atom. The O–O bond length is 1.39 Å. In the eleventh O site, O is bonded in a 3-coordinate geometry to one K, one Mg, and one Si atom. In the twelfth O site, O is bonded in a distorted trigonal planar geometry to one K and two Si atoms. In the thirteenth O site, O is bonded in a 4-coordinate geometry to one Ca, two Mg, and one Si atom. In the fourteenth O site, O is bonded in a 4-coordinate geometry to one Ca, two Mg, and one O atom. In the fifteenth O site, O is bonded in a 2-coordinate geometry to one K, one Ca, one Si, and one H atom. In the sixteenth O site, O is bonded in a distorted bent 150 degrees geometry to two Si atoms. In the seventeenth O site, O is bonded in a 3-coordinate geometry to one Ca, one Mg, and one Si atom. In the eighteenth O site, O is bonded in a 3-coordinate geometry to one Mg and two Si atoms. In the nineteenth O site, O is bonded in a distorted trigonal planar geometry to one Mg and two Si atoms. In the twentieth O site, O is bonded in a bent 150 degrees geometry to one K and two Si atoms. In the twenty-first O site, O is bonded in a 4-coordinate geometry to one K, two Mg, and one Si atom. In the twenty-second O site, O is bonded in a distorted trigonal planar geometry to one Mg and two Si atoms. In the twenty-third O site, O is bonded in a distorted bent 150 degrees geometry to two Si atoms. In the twenty-fourth O site, O is bonded in a distorted T-shaped geometry to two Mg and one Si atom.

36 MATERIALS SCIENCE↗

Materials Data on Rb(Mg4Al3)4 by Materials Project

Rb(Mg4Al3)4 is Bergman Structure: Mg32(Al,Zn)49 Bergman-like structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. Rb is bonded in a 3-coordinate geometry to seven Mg and nine Al atoms. There are a spread of Rb–Mg bond distances ranging from 3.13–3.57 Å. There are six shorter (3.34 Å) and three longer (3.41 Å) Rb–Al bond lengths. There are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 10-coordinate geometry to four Mg and six Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.07–3.18 Å. There are a spread of Mg–Al bond distances ranging from 3.08–3.13 Å. In the second Mg site, Mg is bonded in a 4-coordinate geometry to one Rb, six Mg, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.12–3.28 Å. There are a spread of Mg–Al bond distances ranging from 2.82–3.33 Å. In the third Mg site, Mg is bonded in a 3-coordinate geometry to one Rb, seven Mg, and five Al atoms. There are two shorter (3.18 Å) and two longer (3.19 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 2.97–3.15 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. Both Mg–Mg bond lengths are 3.17 Å. There are a spread of Mg–Al bond distances ranging from 2.91–3.23 Å. In the fifth Mg site, Mg is bonded in a 7-coordinate geometry to one Rb, three equivalent Mg, and twelve Al atoms. There are a spread of Mg–Al bond distances ranging from 3.18–3.29 Å. There are three inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to one Rb, eight Mg, and three Al atoms. There are one shorter (2.67 Å) and two longer (2.84 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 11-coordinate geometry to one Rb, seven Mg, and three Al atoms. There are a spread of Al–Al bond distances ranging from 2.75–2.90 Å. In the third Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgSi by Materials Project

MgSi crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Mg sites. In the first Mg site, Mg is bonded in a 11-coordinate geometry to five Mg and six Si atoms. There are a spread of Mg–Mg bond distances ranging from 2.87–3.02 Å. There are a spread of Mg–Si bond distances ranging from 2.89–3.18 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to four Mg and eight Si atoms. There are two shorter (2.91 Å) and two longer (3.11 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.72–3.16 Å. In the third Mg site, Mg is bonded in a 1-coordinate geometry to two equivalent Mg and eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.67–3.24 Å. In the fourth 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 2.69–3.17 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to four Mg and seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.87–2.98 Å. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to three equivalent Mg and six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.80–3.06 Å. There are six inequivalent Si sites. In the first Si site, Si is bonded in a 10-coordinate geometry to eight Mg and two equivalent Si atoms. Both Si–Si bond lengths are 2.53 Å. In the second Si site, Si is bonded in a 11-coordinate geometry to seven Mg and four Si atoms. There are two shorter (2.57 Å) and two longer (2.84 Å) Si–Si bond lengths. In the third Si site, Si is bonded in a 11-coordinate geometry to nine Mg and two equivalent Si atoms. Both Si–Si bond lengths are 2.66 Å. In the fourth Si site, Si is bonded in a 11-coordinate geometry to seven Mg and four Si atoms. In the fifth Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. The Si–Si bond length is 2.48 Å. In the sixth Si site, Si is bonded in a 9-coordinate geometry to six 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 5-coordinate geometry to one Mg and five Si atoms. The Mg–Mg bond length is 3.04 Å. There are a spread of Mg–Si bond distances ranging from 2.78–3.09 Å. In the second Mg site, Mg is bonded in a distorted L-shaped geometry to three Si atoms. There are a spread of Mg–Si bond distances ranging from 2.71–3.16 Å. In the third Mg site, Mg is bonded in a 5-coordinate geometry to one Mg and six Si atoms. The Mg–Mg bond length is 3.20 Å. There are a spread of Mg–Si bond distances ranging from 2.73–3.18 Å. In the fourth 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 2.72–2.88 Å. In the fifth 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 2.71–2.88 Å. In the sixth Mg site, Mg is bonded in a 10-coordinate geometry to two Mg and eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.83–3.12 Å. There are eight 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 2.37–2.41 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 (2.39 Å) Si–Si bond lengths. In the third Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. There are two shorter (2.40 Å) and one longer (2.58 Å) Si–Si bond lengths. In the fourth Si site, Si is bonded in a 7-coordinate geometry to five Mg and two equivalent Si atoms. In the fifth Si site, Si is bonded in a 8-coordinate geometry to four Mg and four Si atoms. There are one shorter (2.55 Å) and one longer (2.57 Å) Si–Si bond lengths. In the sixth Si site, Si is bonded in a 7-coordinate geometry to three Mg and four Si atoms. There are one shorter (2.40 Å) and one longer (2.42 Å) Si–Si bond lengths. In the seventh Si site, Si is bonded in a 8-coordinate geometry to seven Mg and one Si atom. In the eighth Si site, Si is bonded in a 6-coordinate geometry to two Mg and four Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaMg3(SiO3)4 by Materials Project

NaMg3(SiO3)4 is Esseneite-like structured and crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are two inequivalent Na sites. In the first Na site, Na is bonded in a 2-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.41–2.94 Å. In the second Na site, Na is bonded in a 7-coordinate geometry to seven O atoms. There are a spread of Na–O bond distances ranging from 2.28–2.85 Å. There are six inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.00–2.20 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra, edges with three MgO6 octahedra, and edges with two equivalent MgO5 square pyramids. There are a spread of Mg–O bond distances ranging from 2.03–2.17 Å. In the third Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.10–2.29 Å. In the fourth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with five MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.99–2.17 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four SiO4 tetrahedra, edges with five MgO6 octahedra, and an edgeedge with one MgO5 square pyramid. There are a spread of Mg–O bond distances ranging from 1.98–2.14 Å. In the sixth Mg site, Mg is bonded to five O atoms to form distorted MgO5 square pyramids that share corners with four SiO4 tetrahedra, edges with three MgO6 octahedra, and an edgeedge with one SiO4 tetrahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.50 Å. There are eight inequivalent Si sites. In the first Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra, a cornercorner with one MgO5 square pyramid, and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 42–55°. There is two shorter (1.62 Å) and two longer (1.69 Å) Si–O bond length. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra, a cornercorner with one MgO5 square pyramid, and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 36–58°. There are a spread of Si–O bond distances ranging from 1.58–1.70 Å. In the third Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra, corners with two equivalent SiO4 tetrahedra, and an edgeedge with one MgO5 square pyramid. The corner-sharing octahedra tilt angles range from 33–54°. There are a spread of Si–O bond distances ranging from 1.62–1.69 Å. In the fourth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra, a cornercorner with one MgO5 square pyramid, and corners with two equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 31–58°. There are a spread of Si–O bond distances ranging from 1.58–1.68 Å. In the fifth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra, a cornercorner with one MgO5 square pyramid, and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–60°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the sixth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–62°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the seventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–62°. There are a spread of Si–O bond distances ranging from 1.61–1.67 Å. In the eighth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 57–62°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. There are twenty-four inequivalent O sites. In the first O site, O is bonded in a distorted trigonal non-coplanar geometry to one Na and two Si atoms. In the second O site, O is bonded in a 4-coordinate geometry to three Mg and one O atom. The O–O bond length is 1.59 Å. In the third O site, O is bonded in a distorted bent 120 degrees geometry to one Na and two Si atoms. In the fourth O site, O is bonded in a 2-coordinate geometry to two Na and two Si atoms. In the fifth O site, O is bonded in a 2-coordinate geometry to one Na and two Si atoms. In the sixth O site, O is bonded in a 2-coordinate geometry to one Na and two Si atoms. In the seventh O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the eighth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si tetrahedra. In the ninth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Na, two Mg, and one Si atom. In the tenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the eleventh O site, O is bonded in a 3-coordinate geometry to one Mg and two Si atoms. In the twelfth O site, O is bonded in a 3-coordinate geometry to one Na and two Si atoms. In the thirteenth O site, O is bonded in a distorted trigonal planar geometry to two Mg and one Si atom. In the fourteenth O site, O is bonded in a distorted T-shaped geometry to one Na, one Mg, and one Si atom. In the fifteenth O site, O is bonded in a distorted T-shaped geometry to two Mg and one Si atom. In the sixteenth O site, O is bonded in a distorted T-shaped geometry to one Na, one Mg, and one Si atom. In the seventeenth O site, O is bonded in a rectangular see-saw-like geometry to one Na, two Mg, and one Si atom. In the eighteenth O site, O is bonded in a rectangular see-saw-like geometry to three Mg and one Si atom. In the nineteenth O site, O is bonded in a 2-coordinate geometry to one Na and two Si atoms. In the twentieth O site, O is bonded in a 2-coordinate geometry to two Na and two Si atoms. In the twenty-first O site, O is bonded in a 4-coordinate geometry to three Mg and one O atom. In the twenty-second O site, O is bonded in a distorted trigonal non-coplanar geometry to one Na and two Si atoms. In the twenty-third O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids. In the twenty-fourth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted edge and corner-sharing OMg3Si trigonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on Mg14AlBO16 by Materials Project

Mg14AlBO16 crystallizes in the orthorhombic Pmmm 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 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 2.09–2.25 Å. In the second 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 2.01–2.19 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 AlO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Mg–O bond distances ranging from 2.09–2.19 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 2.12–2.16 Å. In the fifth 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 2.12–2.16 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 AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are two shorter (2.12 Å) and four longer (2.13 Å) Mg–O bond lengths. In the seventh 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 0–8°. There are a spread of Mg–O bond distances ranging from 2.10–2.16 Å. In the eighth 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 AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–18°. There are a spread of Mg–O bond distances ranging from 2.10–2.19 Å. Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent MgO6 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 1.85–2.12 Å. B is bonded in a distorted square co-planar geometry to four O atoms. There are two shorter (2.12 Å) and two longer (2.24 Å) B–O bond lengths. There are nine 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 four equivalent OMg5Al octahedra, corners with two equivalent OMg5B square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg4Al square pyramids. The corner-sharing octahedra tilt angles range from 0–6°. In the second O site, O is bonded to five Mg and one B atom to form distorted OMg5B square pyramids that share corners with two equivalent OMg5Al octahedra, corners with six OMg5B square pyramids, and edges with ten OMg4B2 octahedra. The corner-sharing octahedral tilt angles are 1°. In the third O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra, edges with eight OMg5Al octahedra, and edges with four OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. In the fourth O site, O is bonded to four Mg and two equivalent Al atoms to form OMg4Al2 octahedra that share corners with six OMg4Al2 octahedra, edges with eight OMg5Al octahedra, and edges with four equivalent OMg4Al square pyramids. The corner-sharing octahedral tilt angles are 0°. In the fifth O site, O is bonded to four Mg and two equivalent B atoms to form OMg4B2 octahedra that share corners with six OMg4Al2 octahedra, corners with four equivalent OMg4Al square pyramids, edges with four equivalent OMg6 octahedra, and edges with four equivalent OMg5B square pyramids. The corner-sharing octahedral tilt angles are 0°. In the sixth 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 seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4B2 octahedra, edges with eight OMg6 octahedra, and edges with four equivalent OMg5B square pyramids. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to four Mg and one Al atom to form OMg4Al square pyramids that share corners with four OMg6 octahedra, corners with five OMg5B square pyramids, and edges with eight OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 12–81°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four equivalent OMg6 octahedra, corners with two equivalent OMg4Al square pyramids, edges with ten OMg5Al octahedra, and edges with two equivalent OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 0–4°.

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 12-coordinate geometry to nine Si atoms. There are a spread of Mg–Si bond distances ranging from 2.72–2.99 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Mg and six Si atoms. There are one shorter (3.20 Å) and one longer (3.21 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.74–3.03 Å. In the third Mg site, Mg is bonded in a 3-coordinate geometry to two equivalent Mg and six Si atoms. There are one shorter (3.22 Å) and one longer (3.24 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.73–3.04 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to four Mg and eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.92–3.10 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to nine Si atoms. There are a spread of Mg–Si bond distances ranging from 2.73–2.98 Å. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.81–2.91 Å. There are eight inequivalent Si sites. In the first 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 2.46–2.70 Å. In the second Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. The Si–Si bond length is 2.40 Å. In the third Si site, Si is bonded in a 12-coordinate geometry to six Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.73–2.81 Å. In the fourth Si site, Si is bonded in a 10-coordinate geometry to seven Mg and three Si atoms. There are one shorter (2.61 Å) and one longer (2.82 Å) Si–Si bond lengths. In the fifth Si site, Si is bonded in a 9-coordinate geometry to five Mg and four Si atoms. There are two shorter (2.46 Å) and one longer (2.70 Å) Si–Si bond lengths. In the sixth Si site, Si is bonded in a 12-coordinate geometry to six Mg and four Si atoms. The Si–Si bond length is 2.76 Å. In the seventh Si site, Si is bonded in a 10-coordinate geometry to seven Mg and three Si atoms. In the eighth Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg2Ti by Materials Project

Mg2Ti crystallizes in the trigonal R32 space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to eight Mg and four Ti atoms to form MgMg8Ti4 cuboctahedra that share corners with eighteen MgMg8Ti4 cuboctahedra, edges with eight TiMg9Ti3 cuboctahedra, edges with ten MgMg8Ti4 cuboctahedra, faces with eight TiMg9Ti3 cuboctahedra, and faces with twelve MgMg8Ti4 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.04–3.12 Å. There are two shorter (3.11 Å) and two longer (3.12 Å) Mg–Ti bond lengths. In the second Mg site, Mg is bonded to eight Mg and four Ti atoms to form MgMg8Ti4 cuboctahedra that share corners with eighteen MgMg8Ti4 cuboctahedra, edges with eight TiMg9Ti3 cuboctahedra, edges with ten MgMg8Ti4 cuboctahedra, faces with eight TiMg9Ti3 cuboctahedra, and faces with twelve MgMg8Ti4 cuboctahedra. Both Mg–Mg bond lengths are 3.12 Å. There are two shorter (3.11 Å) and two longer (3.12 Å) Mg–Ti bond lengths. In the third Mg site, Mg is bonded to six Mg and six equivalent Ti atoms to form MgMg6Ti6 cuboctahedra that share corners with six equivalent MgMg6Ti6 cuboctahedra, corners with twelve TiMg9Ti3 cuboctahedra, edges with eighteen MgMg8Ti4 cuboctahedra, faces with eight TiMg9Ti3 cuboctahedra, and faces with twelve MgMg8Ti4 cuboctahedra. Both Mg–Mg bond lengths are 3.12 Å. All Mg–Ti bond lengths are 3.06 Å. In the fourth Mg site, Mg is bonded to eight Mg and four Ti atoms to form MgMg8Ti4 cuboctahedra that share corners with eighteen MgMg8Ti4 cuboctahedra, edges with eight TiMg9Ti3 cuboctahedra, edges with ten MgMg6Ti6 cuboctahedra, faces with eight TiMg9Ti3 cuboctahedra, and faces with twelve MgMg8Ti4 cuboctahedra. There are two shorter (3.04 Å) and four longer (3.07 Å) Mg–Mg bond lengths. There are two shorter (3.11 Å) and two longer (3.12 Å) Mg–Ti bond lengths. In the fifth Mg site, Mg is bonded to eight Mg and four Ti atoms to form MgMg8Ti4 cuboctahedra that share corners with eighteen MgMg8Ti4 cuboctahedra, edges with eight TiMg9Ti3 cuboctahedra, edges with ten MgMg6Ti6 cuboctahedra, faces with eight TiMg9Ti3 cuboctahedra, and faces with twelve MgMg8Ti4 cuboctahedra. There are one shorter (3.04 Å) and two longer (3.07 Å) Mg–Mg bond lengths. There are two shorter (3.11 Å) and two longer (3.12 Å) Mg–Ti bond lengths. There are two inequivalent Ti sites. In the first Ti site, Ti is bonded to nine Mg and three equivalent Ti atoms to form TiMg9Ti3 cuboctahedra that share corners with six equivalent MgMg6Ti6 cuboctahedra, corners with twelve TiMg9Ti3 cuboctahedra, edges with six equivalent TiMg9Ti3 cuboctahedra, edges with twelve MgMg8Ti4 cuboctahedra, faces with four TiMg9Ti3 cuboctahedra, and faces with sixteen MgMg8Ti4 cuboctahedra. All Ti–Ti bond lengths are 3.06 Å. In the second Ti site, Ti is bonded to nine Mg and three equivalent Ti atoms to form TiMg9Ti3 cuboctahedra that share corners with six equivalent MgMg6Ti6 cuboctahedra, corners with twelve TiMg9Ti3 cuboctahedra, edges with six equivalent TiMg9Ti3 cuboctahedra, edges with twelve MgMg8Ti4 cuboctahedra, faces with four equivalent TiMg9Ti3 cuboctahedra, and faces with sixteen MgMg8Ti4 cuboctahedra. All Ti–Mg bond lengths are 3.06 Å. All Ti–Ti bond lengths are 3.06 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg14AlSiO16 by Materials Project

Mg14AlSiO16 crystallizes in the orthorhombic Pmmm 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 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 2.11–2.18 Å. In the second 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 2.01–2.28 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 AlO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–24°. There are a spread of Mg–O bond distances ranging from 2.11–2.23 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 0–3°. There are a spread of Mg–O bond distances ranging from 2.11–2.23 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 0–3°. There are a spread of Mg–O bond distances ranging from 2.11–2.24 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 0–5°. There are a spread of Mg–O bond distances ranging from 2.10–2.22 Å. In the seventh 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 0–5°. There are a spread of Mg–O bond distances ranging from 2.10–2.22 Å. In the eighth 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 AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–25°. There are a spread of Mg–O bond distances ranging from 2.11–2.24 Å. Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent MgO6 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 1.77–2.11 Å. Si is bonded in a square co-planar geometry to four O atoms. There are two shorter (2.11 Å) and two longer (2.22 Å) Si–O bond lengths. There are nine 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, edges with ten OMg6 octahedra, and edges with two equivalent OMg4Al square pyramids. 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 OMg5Al octahedra, corners with two equivalent OMg4Al square pyramids, and edges with ten OMg4Si2 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra, edges with ten OMg5Al octahedra, and edges with two equivalent OMg4Al square pyramids. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O site, O is bonded to four Mg and two equivalent Al atoms to form OMg4Al2 octahedra that share corners with six OMg4Al2 octahedra, edges with eight OMg5Al octahedra, and edges with four equivalent OMg4Al square pyramids. The corner-sharing octahedral tilt angles are 0°. In the fifth O site, O is bonded to four Mg and two equivalent Si atoms to form OMg4Si2 octahedra that share corners with six OMg4Al2 octahedra, corners with four equivalent OMg4Al square pyramids, and edges with eight OMg5Si octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth 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 seventh 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 eighth O site, O is bonded to four Mg and one Al atom to form distorted OMg4Al square pyramids that share corners with six OMg5Si octahedra, corners with three equivalent OMg4Al square pyramids, and edges with eight OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 14–78°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four equivalent OMg6 octahedra, corners with two equivalent OMg4Al square pyramids, and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–3°.

36 MATERIALS SCIENCE↗

Materials Data on CaMg14AlO16 by Materials Project

CaMg14AlO16 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 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 (2.18 Å) and four longer (2.29 Å) Ca–O bond lengths. There are six 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 two equivalent MgO6 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 Mg–O bond distances ranging from 2.03–2.34 Å. In the second 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 0–9°. There are a spread of Mg–O bond distances ranging from 2.15–2.19 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 CaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.11–2.21 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent CaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.11–2.21 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 CaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.11–2.21 Å. In the sixth 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 CaO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are two shorter (2.14 Å) and four longer (2.18 Å) Mg–O bond lengths. Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent AlO6 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 (1.98 Å) and two longer (2.18 Å) Al–O bond lengths. There are ten 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 0–9°. There are two shorter (2.19 Å) and one longer (2.34 Å) O–Mg bond lengths. In the second O site, O is bonded to one Ca and five Mg atoms to form OCaMg5 octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. Both O–Mg bond lengths are 2.18 Å. In the third O site, O is bonded to one Ca and five Mg atoms to form OCaMg5 octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. Both O–Mg bond lengths are 2.18 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 equivalent 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 six Mg atoms to form OMg6 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O site, O is bonded to two equivalent Ca and four Mg atoms to form OCa2Mg4 octahedra that share corners with six OMg6 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to five Mg and one Al atom to form a mixture of corner and edge-sharing OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the ninth O site, O is bonded to one Ca and five Mg atoms to form a mixture of corner and edge-sharing OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. The O–Mg bond length is 2.03 Å. In the tenth O site, O is bonded to one Ca and five Mg atoms to form a mixture of corner and edge-sharing OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are one shorter (2.03 Å) and two longer (2.18 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Mg6CdB by Materials Project

Mg6CdB crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to eight Mg, two equivalent Cd, and two equivalent B atoms to form a mixture of distorted edge, face, and corner-sharing MgMg8Cd2B2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.03–3.11 Å. There are one shorter (3.03 Å) and one longer (3.04 Å) Mg–Cd bond lengths. There are one shorter (3.02 Å) and one longer (3.05 Å) Mg–B bond lengths. In the second Mg site, Mg is bonded in a 12-coordinate geometry to eight Mg, two equivalent Cd, and two equivalent B atoms. There are a spread of Mg–Mg bond distances ranging from 2.93–3.21 Å. Both Mg–Cd bond lengths are 3.05 Å. Both Mg–B bond lengths are 3.00 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Cd atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with ten MgMg10Cd2 cuboctahedra, edges with ten MgMg8Cd2B2 cuboctahedra, and faces with eight MgMg8Cd2B2 cuboctahedra. Both Mg–Mg bond lengths are 3.11 Å. Both Mg–Cd bond lengths are 3.01 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent B atoms to form distorted MgMg10B2 cuboctahedra that share corners with ten MgMg10Cd2 cuboctahedra, edges with ten MgMg8Cd2B2 cuboctahedra, and faces with eight MgMg8Cd2B2 cuboctahedra. Both Mg–B bond lengths are 2.97 Å. In the fifth Mg site, Mg is bonded to eight Mg, two equivalent Cd, and two equivalent B atoms to form a mixture of distorted edge, face, and corner-sharing MgMg8Cd2B2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.03–3.11 Å. There are one shorter (3.03 Å) and one longer (3.04 Å) Mg–Cd bond lengths. There are one shorter (3.02 Å) and one longer (3.05 Å) Mg–B bond lengths. Cd is bonded in a 10-coordinate geometry to ten Mg atoms. B is bonded in a 12-coordinate geometry to ten Mg atoms.

36 MATERIALS SCIENCE↗

Materials Data on YHfMg14O16 by Materials Project

Mg14YHfO16 is alpha Po-derived structured and crystallizes in the orthorhombic Pmmm 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 (2.09 Å) and four longer (2.20 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 HfO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.10 Å) and four longer (2.20 Å) Mg–O bond lengths. 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 YO6 octahedra, edges with two equivalent HfO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.15–2.24 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 octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.18–2.21 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 YO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.07–2.31 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 HfO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.27 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 HfO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.27 Å. In the eighth 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 YO6 octahedra, an edgeedge with one HfO6 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 2.10–2.29 Å. Y is bonded to six O atoms to form YO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent YO6 octahedra, corners with two equivalent HfO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Y–O bond distances ranging from 2.20–2.30 Å. Hf is bonded to six O atoms to form HfO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent YO6 octahedra, corners with two equivalent HfO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Hf–O bond distances ranging from 2.16–2.28 Å. There are nine 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 OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the second O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the third 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 fourth O site, O is bonded to four Mg and two equivalent Y atoms to form OY2Mg4 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifth O site, O is bonded to four Mg and two equivalent Hf atoms to form OHf2Mg4 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OHfMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OYMg5 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 OHf2Mg4 octahedra and edges with twelve OHfMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to four Mg, one Y, and one Hf atom to form OYHfMg4 octahedra that share corners with six OYHfMg4 octahedra and edges with twelve OYMg5 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 OYHfMg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°.

36 MATERIALS SCIENCE↗

Materials Data on Li(Mg4Al3)4 by Materials Project

Li(Mg4Al3)4 crystallizes in the trigonal R3m space group. The structure is three-dimensional. Li is bonded in a 10-coordinate geometry to four Mg and six equivalent Al atoms. There are one shorter (2.99 Å) and three longer (3.04 Å) Li–Mg bond lengths. All Li–Al bond lengths are 3.04 Å. There are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to one Li, six Mg, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.15–3.19 Å. There are a spread of Mg–Al bond distances ranging from 2.93–3.14 Å. In the second Mg site, Mg is bonded in a 10-coordinate geometry to four Mg and six Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.03–3.14 Å. There are a spread of Mg–Al bond distances ranging from 3.07–3.11 Å. In the third Mg site, Mg is bonded in a 1-coordinate geometry to one Li, three equivalent Mg, and twelve Al atoms. There are a spread of Mg–Al bond distances ranging from 3.17–3.23 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are two shorter (3.13 Å) and two longer (3.16 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 2.92–3.16 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. Both Mg–Mg bond lengths are 3.15 Å. There are a spread of Mg–Al bond distances ranging from 2.92–3.17 Å. There are three inequivalent Al sites. In the first Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.69 Å) and two longer (2.76 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. Both Al–Al bond lengths are 2.75 Å. In the third Al site, Al is bonded in a distorted q6 geometry to one Li, seven Mg, and three Al atoms. There are one shorter (2.70 Å) and one longer (2.74 Å) Al–Al bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Mg15Si2Ir5 by Materials Project

Mg15Ir5Si2 crystallizes in the tetragonal P4_2/n space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded in a 2-coordinate geometry to three Ir and one Si atom. There are a spread of Mg–Ir bond distances ranging from 2.71–3.01 Å. The Mg–Si bond length is 2.78 Å. In the second Mg site, Mg is bonded in a distorted bent 150 degrees geometry to two Ir atoms. There are one shorter (2.63 Å) and one longer (2.66 Å) Mg–Ir bond lengths. In the third Mg site, Mg is bonded in a 2-coordinate geometry to two equivalent Ir atoms. There are one shorter (2.82 Å) and one longer (3.00 Å) Mg–Ir bond lengths. In the fourth Mg site, Mg is bonded in a 1-coordinate geometry to three Ir and one Si atom. There are a spread of Mg–Ir bond distances ranging from 2.71–2.83 Å. The Mg–Si bond length is 2.79 Å. In the fifth Mg site, Mg is bonded in a 3-coordinate geometry to three Ir atoms. There are a spread of Mg–Ir bond distances ranging from 2.69–2.89 Å. In the sixth Mg site, Mg is bonded in a 6-coordinate geometry to four Ir and two equivalent Si atoms. There are a spread of Mg–Ir bond distances ranging from 2.80–3.04 Å. There are one shorter (2.79 Å) and one longer (2.80 Å) Mg–Si bond lengths. In the seventh Mg site, Mg is bonded in a 6-coordinate geometry to four Ir and two equivalent Si atoms. There are a spread of Mg–Ir bond distances ranging from 2.77–3.03 Å. There are one shorter (2.77 Å) and one longer (2.82 Å) Mg–Si bond lengths. In the eighth Mg site, Mg is bonded in a linear geometry to two equivalent Ir atoms. Both Mg–Ir bond lengths are 2.70 Å. There are three inequivalent Ir sites. In the first Ir site, Ir is bonded in a 9-coordinate geometry to eight Mg and one Si atom. The Ir–Si bond length is 2.36 Å. In the second Ir site, Ir is bonded in a 10-coordinate geometry to nine Mg and one Si atom. The Ir–Si bond length is 2.36 Å. In the third Ir site, Ir is bonded to ten Mg and two equivalent Si atoms to form distorted face-sharing IrMg10Si2 cuboctahedra. Both Ir–Si bond lengths are 2.38 Å. Si is bonded in a 9-coordinate geometry to six Mg and three Ir atoms.

36 MATERIALS SCIENCE↗

Materials Data on SrMg14AlO16 by Materials Project

SrMg14AlO16 is Caswellsilverite-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. Sr is bonded to six O atoms to form SrO6 octahedra that share corners with two equivalent SrO6 octahedra, corners with two equivalent MgO6 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 Sr–O bond distances ranging from 2.22–2.44 Å. There are seven 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 2.09–2.31 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SrO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.00 Å) and four longer (2.22 Å) Mg–O bond lengths. 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 SrO6 octahedra, edges with two equivalent AlO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.08–2.23 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 0–3°. There are a spread of Mg–O bond distances ranging from 2.14–2.22 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 0–7°. There are a spread of Mg–O bond distances ranging from 2.15–2.22 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 SrO6 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 2.09–2.27 Å. In the seventh 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 SrO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–13°. There are a spread of Mg–O bond distances ranging from 2.11–2.27 Å. Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent SrO6 octahedra, corners with two equivalent MgO6 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 1.86–2.22 Å. There are ten 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 0–7°. In the second O site, O is bonded to one Sr and five Mg atoms to form OSrMg5 octahedra that share corners with six OMg5Al 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 one Sr and five Mg atoms to form OSrMg5 octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are two shorter (2.19 Å) and two longer (2.22 Å) O–Mg bond lengths. 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 0–5°. 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 two equivalent Sr and four Mg atoms to form OSr2Mg4 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OSrMg5 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 OSr2Mg4 octahedra and edges with twelve OSrMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O site, O is bonded to one Sr, four Mg, and one Al atom to form OSrMg4Al octahedra that share corners with six OSrMg4Al octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OSrMg4Al octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–7°.

36 MATERIALS SCIENCE↗