Engineering Papers⌕ Search

SEARCH · Engineering Papers

Results for “Mg”

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

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

At least 1,621 records · Page 90

Materials Data on HfMg30ZnO32 by Materials Project

Mg30HfZnO32 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 ZnO6 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 1.95–2.22 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent 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 (1.97 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 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 2.11–2.18 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 (2.21 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 ZnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 5–16°. There are a spread of Mg–O bond distances ranging from 2.09–2.24 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 3–5°. There are a spread of Mg–O bond distances ranging from 2.14–2.18 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 ZnO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–12°. There are a spread of Mg–O bond distances ranging from 2.14–2.18 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 HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. 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 (2.12 Å) Hf–O bond lengths. Zn is bonded to six O atoms to form ZnO6 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 (2.35 Å) and four longer (2.36 Å) Zn–O bond lengths. There are ten inequivalent O sites. In the first 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 0–6°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Zn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. 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 OMg5Zn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. 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 and edges with twelve OMg5Zn octahedra. The corner-sharing octahedra tilt angles range from 2–7°. In the sixth O site, O is bonded to five Mg and one Zn atom to form a mixture of distorted edge and corner-sharing OMg5Zn octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the seventh O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OMg5Zn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the eighth 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 0–8°. In the ninth 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 tenth O site, O is bonded to five Mg and one Zn atom to form a mixture of distorted edge and corner-sharing OMg5Zn octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of O–Mg bond distances ranging from 1.95–2.17 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg63Si32Bi by Materials Project

Mg63Si32Bi crystallizes in the cubic P-43m space group. The structure is three-dimensional. there are ten inequivalent Mg sites. In the first Mg site, Mg is bonded in a 4-coordinate geometry to four Si and one Bi atom. There are two shorter (2.72 Å) and two longer (2.83 Å) Mg–Si bond lengths. The Mg–Bi bond length is 3.25 Å. In the second Mg site, Mg is bonded to four Si atoms to form a mixture of corner and edge-sharing MgSi4 tetrahedra. All Mg–Si bond lengths are 2.76 Å. In the third Mg site, Mg is bonded to four Si atoms to form a mixture of corner and edge-sharing MgSi4 tetrahedra. There are two shorter (2.76 Å) and two longer (2.77 Å) Mg–Si bond lengths. In the fourth Mg site, Mg is bonded to four equivalent Si atoms to form a mixture of corner and edge-sharing MgSi4 tetrahedra. All Mg–Si bond lengths are 2.77 Å. In the fifth Mg site, Mg is bonded to four Si atoms to form a mixture of corner and edge-sharing MgSi4 tetrahedra. All Mg–Si bond lengths are 2.76 Å. In the sixth Mg site, Mg is bonded to four Si atoms to form a mixture of corner and edge-sharing MgSi4 tetrahedra. All Mg–Si bond lengths are 2.75 Å. In the seventh Mg site, Mg is bonded to four equivalent Si atoms to form a mixture of corner and edge-sharing MgSi4 tetrahedra. All Mg–Si bond lengths are 2.77 Å. In the eighth Mg site, Mg is bonded to four Si atoms to form a mixture of corner and edge-sharing MgSi4 tetrahedra. All Mg–Si bond lengths are 2.75 Å. In the ninth Mg site, Mg is bonded to four equivalent Si atoms to form a mixture of corner and edge-sharing MgSi4 tetrahedra. All Mg–Si bond lengths are 2.77 Å. In the tenth Mg site, Mg is bonded to four Si atoms to form a mixture of corner and edge-sharing MgSi4 tetrahedra. There are three shorter (2.73 Å) and one longer (2.74 Å) Mg–Si bond lengths. There are four inequivalent Si sites. In the first Si site, Si is bonded in a body-centered cubic geometry to eight Mg atoms. In the second Si site, Si is bonded in a body-centered cubic geometry to eight Mg atoms. In the third Si site, Si is bonded in a body-centered cubic geometry to eight Mg atoms. In the fourth Si site, Si is bonded in a body-centered cubic geometry to seven Mg and one Bi atom. The Si–Bi bond length is 2.84 Å. Bi is bonded in a distorted q6 geometry to six equivalent Mg and four equivalent Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on HfMg30GaO32 by Materials Project

Mg30HfGaO32 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 GaO6 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 1.96–2.20 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent GaO6 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 (2.19 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 2.12–2.17 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 (2.14 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 HfO6 octahedra, an edgeedge with one GaO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–14°. There are a spread of Mg–O bond distances ranging from 2.11–2.22 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 1–3°. There are two shorter (2.14 Å) and four 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 GaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Mg–O bond distances ranging from 2.14–2.18 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 HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are a spread of Mg–O bond distances ranging from 2.10–2.21 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 (2.11 Å) and two longer (2.15 Å) Hf–O bond lengths. Ga is bonded to six O atoms to form GaO6 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 (2.34 Å) and four longer (2.35 Å) Ga–O bond lengths. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Ga atom to form OMg5Ga octahedra that share corners with six OMg5Ga octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Ga 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 Hf atom to form a mixture of edge and corner-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Ga octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are two shorter (2.10 Å) and two longer (2.17 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 OMg5Ga octahedra. The corner-sharing octahedra tilt angles range from 2–5°. In the sixth O site, O is bonded to five Mg and one Ga atom to form a mixture of distorted edge and corner-sharing OMg5Ga octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the seventh O site, O is bonded to five Mg and one Ga atom to form a mixture of distorted edge and corner-sharing OMg5Ga octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are two shorter (2.11 Å) and two longer (2.18 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 OMg5Ga 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 edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. 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 0–4°.

36 MATERIALS SCIENCE↗

Materials Data on Mg16Al12Zn by Materials Project

Mg16ZnAl12 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 six Mg, one Zn, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.09–3.25 Å. The Mg–Zn bond length is 2.99 Å. There are a spread of Mg–Al bond distances ranging from 2.95–3.15 Å. In the second Mg site, Mg is bonded in a 1-coordinate geometry to three equivalent Mg, one Zn, and twelve Al atoms. All Mg–Mg bond lengths are 3.14 Å. The Mg–Zn bond length is 2.88 Å. There are nine shorter (3.18 Å) and three longer (3.25 Å) Mg–Al bond lengths. In the third 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 3.02–3.15 Å. There are a spread of Mg–Al bond distances ranging from 2.96–3.14 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 3.05 Å. There are a spread of Mg–Al bond distances ranging from 3.06–3.12 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 3.20 Å. There are a spread of Mg–Al bond distances ranging from 2.88–3.13 Å. Zn is bonded in a 10-coordinate geometry to four Mg and six equivalent Al atoms. All Zn–Al bond lengths are 2.98 Å. There are three inequivalent Al sites. In the first Al site, Al is bonded in a distorted q6 geometry to eight Mg and three Al atoms. There are one shorter (2.69 Å) and two longer (2.77 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 2.76 Å. In the third Al site, Al is bonded in a 11-coordinate geometry to seven Mg, one Zn, and three Al atoms. There are one shorter (2.71 Å) and one longer (2.73 Å) Al–Al bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on Mg16Al12Sn by Materials Project

Mg16Al12Sn 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 3.05–3.19 Å. There are a spread of Mg–Al bond distances ranging from 2.94–3.16 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to six Mg, five Al, and one Sn atom. There are two shorter (3.16 Å) and two longer (3.17 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 2.93–3.22 Å. The Mg–Sn bond length is 3.08 Å. In the third Mg site, Mg is bonded in a 1-coordinate geometry to three equivalent Mg, twelve Al, and one Sn atom. All Mg–Mg bond lengths are 3.16 Å. There are a spread of Mg–Al bond distances ranging from 3.17–3.26 Å. The Mg–Sn bond length is 3.08 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 3.05 Å. There are a spread of Mg–Al bond distances ranging from 3.10–3.13 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 3.19 Å. There are a spread of Mg–Al bond distances ranging from 2.89–3.17 Å. There are three inequivalent Al sites. In the first Al site, Al is bonded in a distorted q6 geometry to eight Mg and three Al atoms. There are one shorter (2.69 Å) and two longer (2.79 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 11-coordinate geometry to seven Mg, three Al, and one Sn atom. There are one shorter (2.76 Å) and one longer (2.81 Å) Al–Al bond lengths. The Al–Sn bond length is 3.11 Å. Sn is bonded in a 10-coordinate geometry to four Mg and six equivalent Al atoms.

36 MATERIALS SCIENCE↗

Materials Data on SrMg30AlO32 by Materials Project

SrMg30AlO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Sr is bonded to six O atoms to form SrO6 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 (2.33 Å) and four longer (2.34 Å) Sr–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 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 Mg–O bond distances ranging from 1.97–2.32 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 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 (2.12 Å) and two longer (2.28 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 2.12–2.19 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SrO6 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 (1.99 Å) and four 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 SrO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mg–O bond distances ranging from 2.12–2.20 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 1–2°. There are two shorter (2.15 Å) and four longer (2.16 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 AlO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mg–O bond distances ranging from 2.14–2.18 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 SrO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Mg–O bond distances ranging from 2.11–2.21 Å. Al is bonded to six O atoms to form AlO6 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 (1.99 Å) and two longer (2.03 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 a mixture of edge and corner-sharing OMg5Al 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 OMg5Al 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 one Sr and five Mg atoms to form a mixture of edge and corner-sharing OSrMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. 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 0–4°. In the fifth O site, O is bonded to five Mg and one Al atom to form a mixture of edge and corner-sharing OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the sixth 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 0–7°. In the seventh 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 0–5°. In the eighth 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 0–5°. There are two shorter (2.14 Å) and two longer (2.15 Å) O–Mg bond lengths. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OSrMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the tenth 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 0–7°. Both O–Mg bond lengths are 2.21 Å.

36 MATERIALS SCIENCE↗

Materials Data on YHfMg30O32 by Materials Project

Mg30YHfO32 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 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 four shorter (2.10 Å) and two longer (2.18 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 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 (2.08 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 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 2.14–2.18 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 (2.16 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, 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 1–5°. There are a spread of Mg–O bond distances ranging from 2.14–2.20 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 0–1°. There are two shorter (2.16 Å) and four 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 1–3°. 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 MgO6 octahedra, an edgeedge with one HfO6 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 2.12–2.21 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 2.24 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 two shorter (2.15 Å) and four longer (2.24 Å) Hf–O bond lengths. There are ten 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 octahedral tilt angles are 0°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. 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 0–2°. 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 OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. 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 0–2°. In the sixth 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 0–2°. There are two shorter (2.20 Å) and two longer (2.22 Å) O–Mg bond lengths. In the seventh 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 0–2°. In the eighth 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 ninth 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°. There are two shorter (2.10 Å) and two longer (2.17 Å) O–Mg bond lengths. 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 0–1°.

36 MATERIALS SCIENCE↗

Materials Data on HfMg30NbO32 by Materials Project

Mg30HfNbO32 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 NbO6 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 2.02–2.18 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 2.13–2.16 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 (2.15 Å) and two longer (2.16 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 (2.15 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 HfO6 octahedra, an edgeedge with one NbO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. 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 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 2.14–2.17 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 NbO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are two shorter (2.14 Å) and four longer (2.17 Å) Mg–O bond lengths. 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 octahedral tilt angles are 3°. There are a spread of Mg–O bond distances ranging from 2.11–2.21 Å. Hf is bonded to six O atoms to form HfO6 octahedra that share corners with two equivalent NbO6 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 (2.16 Å) Hf–O bond lengths. Nb is bonded to six O atoms to form NbO6 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 (2.24 Å) and four longer (2.29 Å) Nb–O bond lengths. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Nb atom to form a mixture of edge and corner-sharing OMg5Nb octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the second O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OMg5Nb octahedra and edges with twelve OHfMg5 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 0–3°. Both O–Mg bond lengths are 2.14 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 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 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 twelve OMg5Nb octahedra. The corner-sharing octahedra tilt angles range from 1–4°. In the seventh O site, O is bonded to four equivalent Mg, one Hf, and one Nb atom to form OHfMg4Nb octahedra that share corners with six OHfMg4Nb octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg4Nb octahedra and edges with twelve OMg5Nb octahedra. The corner-sharing octahedra tilt angles range from 0–5°. 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 0–1°. In the tenth O site, O is bonded to five Mg and one Nb atom to form a mixture of edge and corner-sharing OMg5Nb octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.11 Å) and two longer (2.17 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on LiMg6Ni by Materials Project

LiMg6Ni is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Li is bonded to ten Mg and two equivalent Ni atoms to form LiMg10Ni2 cuboctahedra that share corners with four equivalent MgLi2Mg10 cuboctahedra, corners with six equivalent LiMg10Ni2 cuboctahedra, edges with four equivalent NiLi2Mg10 cuboctahedra, edges with ten MgLi2Mg8Ni2 cuboctahedra, faces with two equivalent LiMg10Ni2 cuboctahedra, faces with two equivalent NiLi2Mg10 cuboctahedra, and faces with twelve MgLi2Mg8Ni2 cuboctahedra. There are a spread of Li–Mg bond distances ranging from 2.87–3.18 Å. Both Li–Ni bond lengths are 3.03 Å. There are six inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Li, eight Mg, and two equivalent Ni atoms to form distorted MgLi2Mg8Ni2 cuboctahedra that share corners with four equivalent NiLi2Mg10 cuboctahedra, corners with fourteen MgLi2Mg8Ni2 cuboctahedra, edges with two equivalent NiLi2Mg10 cuboctahedra, edges with four equivalent LiMg10Ni2 cuboctahedra, edges with eight MgLi2Mg8Ni2 cuboctahedra, faces with two equivalent LiMg10Ni2 cuboctahedra, faces with two equivalent NiLi2Mg10 cuboctahedra, and faces with eight MgLi2Mg8Ni2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.01–3.16 Å. There are one shorter (3.00 Å) and one longer (3.05 Å) Mg–Ni bond lengths. In the second Mg site, Mg is bonded to ten Mg and two equivalent Ni atoms to form distorted MgMg10Ni2 cuboctahedra that share corners with four equivalent NiLi2Mg10 cuboctahedra, corners with fourteen MgLi2Mg8Ni2 cuboctahedra, edges with two equivalent NiLi2Mg10 cuboctahedra, edges with eight MgLi2Mg8Ni2 cuboctahedra, faces with two equivalent NiLi2Mg10 cuboctahedra, faces with six equivalent LiMg10Ni2 cuboctahedra, and faces with eight MgLi2Mg8Ni2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.01–3.06 Å. Both Mg–Ni bond lengths are 3.09 Å. In the third Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent Ni atoms. There are a spread of Mg–Mg bond distances ranging from 2.91–3.27 Å. Both Mg–Ni bond lengths are 2.96 Å. In the fourth Mg site, Mg is bonded to two equivalent Li and ten Mg atoms to form MgLi2Mg10 cuboctahedra that share corners with four equivalent LiMg10Ni2 cuboctahedra, corners with six equivalent MgLi2Mg10 cuboctahedra, edges with two equivalent LiMg10Ni2 cuboctahedra, edges with twelve MgLi2Mg8Ni2 cuboctahedra, faces with two equivalent LiMg10Ni2 cuboctahedra, faces with six equivalent NiLi2Mg10 cuboctahedra, and faces with eight MgLi2Mg8Ni2 cuboctahedra. There are one shorter (3.01 Å) and three longer (3.04 Å) Mg–Mg bond lengths. In the fifth Mg site, Mg is bonded to two equivalent Li, eight Mg, and two equivalent Ni atoms to form distorted MgLi2Mg8Ni2 cuboctahedra that share corners with four equivalent NiLi2Mg10 cuboctahedra, corners with fourteen MgLi2Mg8Ni2 cuboctahedra, edges with two equivalent NiLi2Mg10 cuboctahedra, edges with four equivalent LiMg10Ni2 cuboctahedra, edges with eight MgMg10Ni2 cuboctahedra, faces with two equivalent LiMg10Ni2 cuboctahedra, faces with two equivalent NiLi2Mg10 cuboctahedra, and faces with eight MgLi2Mg8Ni2 cuboctahedra. Both Mg–Mg bond lengths are 3.12 Å. There are one shorter (3.00 Å) and one longer (3.05 Å) Mg–Ni bond lengths. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent Ni atoms. Both Mg–Ni bond lengths are 2.96 Å. Ni is bonded to two equivalent Li and ten Mg atoms to form NiLi2Mg10 cuboctahedra that share corners with six equivalent NiLi2Mg10 cuboctahedra, corners with twelve MgLi2Mg8Ni2 cuboctahedra, edges with four equivalent LiMg10Ni2 cuboctahedra, edges with six MgLi2Mg8Ni2 cuboctahedra, faces with two equivalent LiMg10Ni2 cuboctahedra, faces with two equivalent NiLi2Mg10 cuboctahedra, and faces with twelve MgLi2Mg8Ni2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on CaCeMg6 by Materials Project

CaMg6Ce is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Ca is bonded to ten Mg and two equivalent Ce atoms to form CaCe2Mg10 cuboctahedra that share corners with six equivalent CaCe2Mg10 cuboctahedra, corners with twelve MgCa2Ce2Mg8 cuboctahedra, edges with four equivalent CeCa2Mg10 cuboctahedra, edges with fourteen MgCa2Ce2Mg8 cuboctahedra, faces with two equivalent CaCe2Mg10 cuboctahedra, faces with two equivalent CeCa2Mg10 cuboctahedra, and faces with sixteen MgCa2Ce2Mg8 cuboctahedra. There are a spread of Ca–Mg bond distances ranging from 3.20–3.40 Å. Both Ca–Ce bond lengths are 3.41 Å. There are six inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Ca, eight Mg, and two equivalent Ce atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent CaCe2Mg10 cuboctahedra, corners with fourteen MgCa2Ce2Mg8 cuboctahedra, edges with two equivalent CaCe2Mg10 cuboctahedra, edges with four equivalent CeCa2Mg10 cuboctahedra, edges with twelve MgCa2Ce2Mg8 cuboctahedra, faces with two equivalent CaCe2Mg10 cuboctahedra, faces with two equivalent CeCa2Mg10 cuboctahedra, and faces with sixteen MgCa2Ce2Mg8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.26–3.41 Å. Both Mg–Ce bond lengths are 3.26 Å. In the second Mg site, Mg is bonded to two equivalent Ca, eight Mg, and two equivalent Ce atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent CaCe2Mg10 cuboctahedra, corners with fourteen MgCa2Ce2Mg8 cuboctahedra, edges with two equivalent CaCe2Mg10 cuboctahedra, edges with four equivalent CeCa2Mg10 cuboctahedra, edges with twelve MgCa2Ce2Mg8 cuboctahedra, faces with two equivalent CaCe2Mg10 cuboctahedra, faces with two equivalent CeCa2Mg10 cuboctahedra, and faces with sixteen MgCa2Ce2Mg8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.26–3.30 Å. Both Mg–Ce bond lengths are 3.26 Å. In the third Mg site, Mg is bonded to two equivalent Ca and ten Mg atoms to form MgCa2Mg10 cuboctahedra that share corners with four equivalent CaCe2Mg10 cuboctahedra, corners with fourteen MgCa2Ce2Mg8 cuboctahedra, edges with two equivalent CaCe2Mg10 cuboctahedra, edges with sixteen MgCa2Ce2Mg8 cuboctahedra, faces with two equivalent CaCe2Mg10 cuboctahedra, faces with six equivalent CeCa2Mg10 cuboctahedra, and faces with twelve MgCa2Ce2Mg8 cuboctahedra. There are four shorter (3.29 Å) and two longer (3.32 Å) Mg–Mg bond lengths. In the fourth Mg site, Mg is bonded to two equivalent Ca, eight Mg, and two equivalent Ce atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent CeCa2Mg10 cuboctahedra, corners with fourteen MgCa2Ce2Mg8 cuboctahedra, edges with two equivalent CeCa2Mg10 cuboctahedra, edges with four equivalent CaCe2Mg10 cuboctahedra, edges with twelve MgCa2Ce2Mg8 cuboctahedra, faces with two equivalent CaCe2Mg10 cuboctahedra, faces with two equivalent CeCa2Mg10 cuboctahedra, and faces with sixteen MgCa2Ce2Mg8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.21–3.40 Å. There are one shorter (3.17 Å) and one longer (3.41 Å) Mg–Ce bond lengths. In the fifth Mg site, Mg is bonded to two equivalent Ca, eight Mg, and two equivalent Ce atoms to form distorted MgCa2Ce2Mg8 cuboctahedra that share corners with four equivalent CeCa2Mg10 cuboctahedra, corners with fourteen MgCa2Ce2Mg8 cuboctahedra, edges with two equivalent CeCa2Mg10 cuboctahedra, edges with four equivalent CaCe2Mg10 cuboctahedra, edges with twelve MgCa2Ce2Mg8 cuboctahedra, faces with two equivalent CaCe2Mg10 cuboctahedra, faces with two equivalent CeCa2Mg10 cuboctahedra, and faces with sixteen MgCa2Ce2Mg8 cuboctahedra. There are one shorter (3.21 Å) and one longer (3.36 Å) Mg–Mg bond lengths. There are one shorter (3.17 Å) and one longer (3.41 Å) Mg–Ce bond lengths. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Ce atoms to form MgCe2Mg10 cuboctahedra that share corners with four equivalent CeCa2Mg10 cuboctahedra, corners with fourteen MgCa2Ce2Mg8 cuboctahedra, edges with two equivalent CeCa2Mg10 cuboctahedra, edges with sixteen MgCa2Ce2Mg8 cuboctahedra, faces with two equivalent CeCa2Mg10 cuboctahedra, faces with six equivalent CaCe2Mg10 cuboctahedra, and faces with twelve MgCa2Ce2Mg8 cuboctahedra. Both Mg–Ce bond lengths are 3.40 Å. Ce is bonded to two equivalent Ca and ten Mg atoms to form CeCa2Mg10 cuboctahedra that share corners with six equivalent CeCa2Mg10 cuboctahedra, corners with twelve MgCa2Ce2Mg8 cuboctahedra, edges with four equivalent CaCe2Mg10 cuboctahedra, edges with fourteen MgCa2Ce2Mg8 cuboctahedra, faces with two equivalent CaCe2Mg10 cuboctahedra, faces with two equivalent CeCa2Mg10 cuboctahedra, and faces with sixteen MgCa2Ce2Mg8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Si4 by Materials Project

Mg3Si4 is Magnesium tetraboride-like structured and crystallizes in the monoclinic Pm space group. The structure is three-dimensional. there are six inequivalent Mg sites. In the first Mg site, Mg is bonded in a 8-coordinate geometry to one Mg and eight Si atoms. The Mg–Mg bond length is 2.90 Å. There are a spread of Mg–Si bond distances ranging from 2.82–3.00 Å. In the second Mg site, Mg is bonded in a 4-coordinate geometry to two equivalent Mg and four Si atoms. Both Mg–Mg bond lengths are 3.24 Å. There are a spread of Mg–Si bond distances ranging from 2.90–3.07 Å. In the third Mg site, Mg is bonded in a 6-coordinate geometry to two equivalent Mg and seven Si atoms. Both Mg–Mg bond lengths are 3.12 Å. There are a spread of Mg–Si bond distances ranging from 2.81–3.17 Å. In the fourth Mg site, Mg is bonded in a 4-coordinate geometry to five Mg and five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.75–2.99 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 2.65–3.01 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 2.75–2.86 Å. There are eight inequivalent Si sites. In the first 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 2.40–2.54 Å. In the second Si site, Si is bonded in a 10-coordinate geometry to seven Mg and three Si atoms. Both Si–Si bond lengths are 2.50 Å. In the third Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. All Si–Si bond lengths are 2.43 Å. In the fourth Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. The Si–Si bond length is 2.39 Å. In the fifth Si site, Si is bonded in a 9-coordinate geometry to seven Mg and two equivalent Si atoms. In the sixth Si site, Si is bonded in a 7-coordinate geometry to two Mg and five Si atoms. Both Si–Si bond lengths are 2.51 Å. In the seventh Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms. In the eighth Si site, Si is bonded in a 8-coordinate geometry to six Mg and two equivalent Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg30GaBO32 by Materials Project

Mg30GaBO32 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 GaO6 octahedra, corners with two equivalent BO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.99–2.22 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent BO6 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 (2.01 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 a spread of Mg–O bond distances ranging from 2.11–2.15 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent GaO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.11 Å) and two longer (2.19 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 GaO6 octahedra, an edgeedge with one BO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–10°. There are a spread of Mg–O bond distances ranging from 2.10–2.18 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 octahedral tilt angles are 2°. There are two shorter (2.12 Å) and four longer (2.14 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 BO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Mg–O bond distances ranging from 2.11–2.16 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 GaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.11–2.15 Å. Ga is bonded to six O atoms to form GaO6 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 (2.04 Å) and two longer (2.08 Å) Ga–O bond lengths. B is bonded to six O atoms to form distorted BO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.25 Å) and four longer (2.27 Å) B–O bond lengths. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one B atom to form distorted OMg5B square pyramids that share corners with four equivalent OMg6 octahedra, corners with two equivalent OMg5B square pyramids, edges with eight OMg6 octahedra, and edges with four OMg5B square pyramids. The corner-sharing octahedral tilt angles are 4°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5B square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the third O site, O is bonded to five Mg and one Ga atom to form a mixture of edge and corner-sharing OMg5Ga octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra, edges with nine OMg6 octahedra, and edges with three OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 1–3°. In the fifth O site, O is bonded to five Mg and one B atom to form distorted OMg5B square pyramids that share corners with four OMg5Ga octahedra, corners with two equivalent OMg5B square pyramids, edges with eight OMg6 octahedra, and edges with four OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 6–8°. In the sixth O site, O is bonded to five Mg and one Ga atom to form OMg5Ga octahedra that share corners with four OMg5Ga octahedra, corners with two equivalent OMg5B square pyramids, edges with ten OMg6 octahedra, and edges with two OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 0–4°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5B square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Ga octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Ga octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.12 Å) and two longer (2.14 Å) O–Mg bond lengths. In the tenth O site, O is bonded to five Mg and one B atom to form distorted OMg5B square pyramids that share corners with four OMg5Ga octahedra, corners with two equivalent OMg5B square pyramids, edges with eight OMg6 octahedra, and edges with four OMg5B square pyramids. The corner-sharing octahedra tilt angles range from 6–8°. There are a spread of O–Mg bond distances ranging from 1.99–2.12 Å.

36 MATERIALS SCIENCE↗

Materials Data on YMg30SnO32 by Materials Project

Mg30YSnO32 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 a spread of Mg–O bond distances ranging from 2.08–2.18 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SnO6 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 1.98–2.21 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 (2.16 Å) and two longer (2.18 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 (2.14 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 YO6 octahedra, an edgeedge with one SnO6 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 2.08–2.27 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 0–4°. There are a spread of Mg–O bond distances ranging from 2.16–2.19 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 1–5°. There are a spread of Mg–O bond distances ranging from 2.11–2.23 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 SnO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are a spread of Mg–O bond distances ranging from 2.13–2.22 Å. Y is bonded to six O atoms to form YO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.26 Å) Y–O bond lengths. Sn is bonded to six O atoms to form SnO6 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 (2.25 Å) and four longer (2.36 Å) Sn–O bond lengths. There are ten inequivalent O sites. In the first 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 0–2°. In the second O site, O is bonded to five Mg and one Sn atom to form OMg5Sn octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg5Sn 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 octahedral tilt angles are 0°. 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°. Both O–Mg bond lengths are 2.18 Å. In the fifth O site, O is bonded to five Mg and one Sn atom to form OMg5Sn octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg5Sn octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.16 Å) and two longer (2.22 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 OMg6 octahedra and edges with twelve OMg5Sn octahedra. The corner-sharing octahedra tilt angles range from 0–3°. 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 OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. In the eighth O site, O is bonded to four equivalent Mg, one Y, and one Sn atom to form OYMg4Sn octahedra that share corners with six OYMg4Sn octahedra and edges with twelve OYMg5 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 OMg6 octahedra that share corners with six OYMg4Sn octahedra and edges with twelve OYMg5 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 0–1°.

36 MATERIALS SCIENCE↗

Materials Data on HfMg30CoO32 by Materials Project

Mg30HfCoO32 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 MgO6 octahedra, corners with two equivalent HfO6 octahedra, corners with two equivalent CoO6 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 CoO6 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 (2.17 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 CoO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 5–12°. There are a spread of Mg–O bond distances ranging from 2.07–2.25 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 CoO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Mg–O bond distances ranging from 2.11–2.19 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 3–7°. There are a spread of Mg–O bond distances ranging from 2.08–2.22 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. Co is bonded to six O atoms to form CoO6 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 (2.25 Å) and four longer (2.28 Å) Co–O bond lengths. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Co atom to form a mixture of corner and edge-sharing OMg5Co 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 OMg5Co 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 0–4°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Co octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.08 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 OMg5Co octahedra. The corner-sharing octahedra tilt angles range from 2–8°. In the sixth O site, O is bonded to five Mg and one Co atom to form a mixture of corner and edge-sharing OMg5Co octahedra. The corner-sharing octahedra tilt angles range from 0–10°. In the seventh O site, O is bonded to five Mg and one Co atom to form a mixture of corner and edge-sharing OMg5Co octahedra. The corner-sharing octahedra tilt angles range from 0–10°. There are two shorter (2.07 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 OMg5Co 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°.

36 MATERIALS SCIENCE↗

Materials Data on Mg30FeSiO32 by Materials Project

Mg30FeSiO32 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 MgO6 octahedra, corners with two equivalent FeO6 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 Mg–O bond distances ranging from 2.06–2.15 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent FeO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.12 Å) and four longer (2.14 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 2.12–2.14 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 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 (2.05 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 FeO6 octahedra, an edgeedge with one SiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are four shorter (2.13 Å) and two longer (2.15 Å) Mg–O bond lengths. 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 0–1°. All Mg–O bond lengths are 2.14 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 FeO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 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 0–4°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 Å. Fe is bonded to six O atoms to form FeO6 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 (2.15 Å) and four longer (2.18 Å) Fe–O bond lengths. Si is bonded to six O atoms to form SiO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Si–O bond lengths are 2.22 Å. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Fe atom to form a mixture of edge and corner-sharing OMg5Fe 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 six OMg5Fe octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O site, O is bonded to five Mg and one Si atom to form a mixture of edge and corner-sharing OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–2°. 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 OMg5Fe octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth O site, O is bonded to five Mg and one Fe atom to form a mixture of edge and corner-sharing OMg5Fe octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to five Mg and one Fe atom to form a mixture of edge and corner-sharing OMg5Fe octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.13 Å) and two longer (2.14 Å) O–Mg bond lengths. In the seventh O site, O is bonded to five Mg and one Si atom to form OMg5Si octahedra that share corners with six OMg5Fe octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the eighth O site, O is bonded to five Mg and one Si atom to form OMg5Si octahedra that share corners with six OMg5Fe octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. Both O–Mg bond lengths are 2.14 Å. 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 octahedral tilt angles are 0°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on BaYMg30O32 by Materials Project

BaMg30YO32 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Ba is bonded to six O atoms to form BaO6 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 (2.34 Å) and four longer (2.44 Å) Ba–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 YO6 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 2.08–2.20 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent BaO6 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 1.92–2.26 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 (2.16 Å) and two longer (2.20 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 four shorter (2.13 Å) and two longer (2.23 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 BaO6 octahedra, an edgeedge with one YO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are a spread of Mg–O bond distances ranging from 2.06–2.30 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 0–4°. There are a spread of Mg–O bond distances ranging from 2.16–2.21 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one YO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–5°. There are a spread of Mg–O bond distances ranging from 2.12–2.24 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 BaO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–9°. There are a spread of Mg–O bond distances ranging from 2.10–2.26 Å. Y is bonded to six O atoms to form YO6 octahedra that share corners with two equivalent BaO6 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 (2.28 Å) Y–O bond lengths. There are ten 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 0–3°. In the second O site, O is bonded to one Ba and five Mg atoms to form OBaMg5 octahedra that share corners with six OYMg5 octahedra and edges with twelve OBaMg5 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 0–1°. 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 2.21 Å. In the fifth O site, O is bonded to one Ba and five Mg atoms to form OBaMg5 octahedra that share corners with six OYMg5 octahedra and edges with twelve OBaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.22 Å) and two longer (2.26 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 OMg6 octahedra and edges with twelve OBaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. 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 OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. In the eighth O site, O is bonded to one Ba, four equivalent Mg, and one Y atom to form OBaYMg4 octahedra that share corners with six OBaYMg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OBaYMg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. 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 0–2°.

36 MATERIALS SCIENCE↗

Materials Data on Mg30CdSiO32 by Materials Project

Mg30CdSiO32 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 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 2.05–2.17 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 2.02–2.17 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 (2.14 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 (2.14 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 CdO6 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 2.11–2.20 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 three shorter (2.14 Å) and three longer (2.16 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 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 (2.17 Å) Mg–O bond lengths. 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 CdO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.13–2.18 Å. Cd is bonded to six O atoms to form CdO6 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 (2.25 Å) and four longer (2.28 Å) Cd–O bond lengths. Si is bonded to six O atoms to form SiO6 octahedra that share corners with two equivalent CdO6 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 (2.25 Å) Si–O bond lengths. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Si atom to form a mixture of edge and corner-sharing OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the second O site, O is bonded to five Mg and one Cd atom to form OMg5Cd octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg5Cd 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 edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. 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 Cd atom to form OMg5Cd octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg5Cd octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.15 Å) and two longer (2.18 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 twelve OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the seventh O site, O is bonded to four equivalent Mg, one Cd, and one Si atom to form OMg4CdSi octahedra that share corners with six OMg4CdSi octahedra and edges with twelve OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4CdSi octahedra and edges with twelve OMg5Si 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 OMg6 octahedra that share corners with six OMg4CdSi octahedra and edges with twelve OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.11 Å) and two longer (2.16 Å) O–Mg bond lengths. 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 octahedral tilt angles are 0°.

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 2-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.78–3.20 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 3.04 Å. There are a spread of Mg–Si bond distances ranging from 2.72–2.88 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 2.73–3.10 Å. In the fourth Mg site, Mg is bonded in a 6-coordinate geometry to one Mg and six Si atoms. The Mg–Mg bond length is 3.05 Å. There are a spread of Mg–Si bond distances ranging from 2.71–2.92 Å. In the fifth Mg site, Mg is bonded in a 3-coordinate geometry to one Mg and five Si atoms. The Mg–Mg bond length is 2.94 Å. There are a spread of Mg–Si bond distances ranging from 2.62–2.96 Å. In the sixth Mg site, Mg is bonded in a 5-coordinate geometry to three Mg and six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.68–3.09 Å. There are eight inequivalent Si sites. In the first 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 2.42–2.48 Å. In the second Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. There are one shorter (2.44 Å) and one longer (2.47 Å) Si–Si bond lengths. In the third 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 fourth Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. The Si–Si bond length is 2.47 Å. In the fifth Si site, Si is bonded in a 5-coordinate geometry to six Mg and two Si atoms. The Si–Si bond length is 2.43 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 (2.41 Å) and one longer (2.42 Å) Si–Si bond lengths. In the seventh Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms. In the eighth Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms.

36 MATERIALS SCIENCE↗