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 1,243 records · Page 69

Materials Data on Mg30MnAlO32 by Materials Project

Mg30MnAlO32 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 MnO6 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 2.05–2.28 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 (2.26 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 2.13–2.16 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.08 Å) and four longer (2.15 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 MnO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are two shorter (2.13 Å) and four longer (2.14 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°. There are two shorter (2.13 Å) and four longer (2.15 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 1–8°. 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 MnO6 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. Mn is bonded to six O atoms to form MnO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.19 Å) and four longer (2.23 Å) Mn–O bond lengths. 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 (2.00 Å) and two longer (2.01 Å) Al–O bond lengths. There are seventeen 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 0–4°. 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 five Mg and one Mn atom to form a mixture of edge and corner-sharing OMg5Mn 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 OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–1°. 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 0–6°. In the sixth O site, O is bonded to five Mg and one Mn atom to form OMg5Mn octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. The O–Mg bond length is 2.05 Å. In the seventh O site, O is bonded to five Mg and one Mn atom to form OMg5Mn octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of O–Mg bond distances ranging from 2.05–2.15 Å. 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°. 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 0–5°. There are two shorter (2.13 Å) and two longer (2.15 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 OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. The O–Mg bond length is 2.13 Å. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. All O–Mg bond lengths are 2.13 Å. In the twelfth 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 0–6°. There are two shorter (2.15 Å) and one longer (2.28 Å) O–Mg bond lengths. In the thirteenth O site, O is bonded to five Mg and one Mn atom to form OMg5Mn octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. Both O–Mg bond lengths are 2.15 Å. In the fourteenth O site, O is bonded to five Mg and one Mn atom to form OMg5Mn octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are two shorter (2.14 Å) and two longer (2.15 Å) O–Mg bond lengths. In the fifteenth 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 (2.13 Å) and one longer (2.16 Å) O–Mg bond lengths. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Mn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. Both O–Mg bond lengths are 2.13 Å. In the seventeenth 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 a spread of O–Mg bond distances ranging from 2.13–2.16 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg4Si3 by Materials Project

Mg4Si3 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded in a 5-coordinate geometry to three Mg and five Si atoms. There are a spread of Mg–Mg bond distances ranging from 2.99–3.27 Å. There are a spread of Mg–Si bond distances ranging from 2.72–3.04 Å. In the second Mg site, Mg is bonded in a 2-coordinate geometry to three Mg and three Si atoms. There are a spread of Mg–Mg bond distances ranging from 3.00–3.16 Å. There are a spread of Mg–Si bond distances ranging from 2.80–3.04 Å. In the third Mg site, Mg is bonded in a 5-coordinate geometry to two Mg and six Si atoms. There are one shorter (2.93 Å) and one longer (3.06 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.78–3.19 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to eight Mg and four Si atoms. There are a spread of Mg–Mg bond distances ranging from 2.96–3.23 Å. There are a spread of Mg–Si bond distances ranging from 2.87–3.15 Å. In the fifth Mg site, Mg is bonded in a 2-coordinate geometry to four Mg and three Si atoms. There are one shorter (3.00 Å) and one longer (3.27 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.88–3.18 Å. In the sixth Mg site, Mg is bonded in a 5-coordinate geometry to four Mg and five Si atoms. There are one shorter (3.08 Å) and one longer (3.14 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.74–3.01 Å. In the seventh Mg site, Mg is bonded in a 12-coordinate geometry to five Mg and seven Si atoms. The Mg–Mg bond length is 3.10 Å. There are a spread of Mg–Si bond distances ranging from 2.75–3.13 Å. In the eighth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.80–3.33 Å. There are six inequivalent Si sites. In the first Si site, Si is bonded in a 10-coordinate geometry to six Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.55–2.94 Å. In the second Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. There are one shorter (2.47 Å) and one longer (2.55 Å) Si–Si bond lengths. In the third Si site, Si is bonded in a 6-coordinate geometry to seven Mg and one Si atom. In the fourth Si site, Si is bonded in a 6-coordinate geometry to eight Mg and two Si atoms. The Si–Si bond length is 2.85 Å. In the fifth Si site, Si is bonded in a 10-coordinate geometry to seven Mg and three Si atoms. The Si–Si bond length is 2.66 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 is Magnesium tetraboride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mg sites. In the first Mg site, Mg is bonded in a 4-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.75–3.17 Å. In the second Mg site, Mg is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.75–3.07 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 2.78–3.11 Å. In the fourth Mg site, Mg is bonded in a 8-coordinate geometry to eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.66–3.10 Å. In the fifth Mg site, Mg is bonded in a 8-coordinate geometry to eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.84–3.09 Å. In the sixth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.68–2.84 Å. In the seventh Mg site, Mg is bonded in a 6-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.76–3.18 Å. In the eighth Mg site, Mg is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.75–2.90 Å. In the ninth Mg site, Mg is bonded in a distorted octahedral geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.72–3.06 Å. In the tenth Mg site, Mg is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.68–2.98 Å. In the eleventh Mg site, Mg is bonded in a 6-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.73–3.27 Å. In the twelfth 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 2.75–3.19 Å. There are sixteen inequivalent Si sites. In the first Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. There are one shorter (2.37 Å) and one longer (2.43 Å) Si–Si bond lengths. In the second Si site, Si is bonded in a 7-coordinate geometry to four Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.39–2.91 Å. In the third Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.42–2.53 Å. In the fourth Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. There are one shorter (2.44 Å) and one longer (2.52 Å) Si–Si bond lengths. In the fifth Si site, Si is bonded in a 6-coordinate geometry to two Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.35–2.54 Å. In the sixth Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. The Si–Si bond length is 2.46 Å. In the seventh Si site, Si is bonded in a 10-coordinate geometry to seven Mg and three Si atoms. There are one shorter (2.62 Å) and one longer (2.64 Å) Si–Si bond lengths. In the eighth Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. There are one shorter (2.35 Å) and one longer (2.50 Å) Si–Si bond lengths. In the ninth Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms. The Si–Si bond length is 2.44 Å. In the tenth Si site, Si is bonded in a 7-coordinate geometry to three Mg and four Si atoms. The Si–Si bond length is 2.39 Å. In the eleventh Si site, Si is bonded in a 6-coordinate geometry to two Mg and four Si atoms. The Si–Si bond length is 2.76 Å. In the twelfth Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms. In the thirteenth Si site, Si is bonded in a 9-coordinate geometry to seven Mg and two Si atoms. In the fourteenth Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms. In the fifteenth Si site, Si is bonded in a 10-coordinate geometry to seven Mg and three Si atoms. The Si–Si bond length is 2.71 Å. In the sixteenth Si site, Si is bonded in a 10-coordinate geometry to six Mg and four Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on CaMg30AlO32 by Materials Project

CaMg30AlO32 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 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 (2.25 Å) and two longer (2.34 Å) Ca–O bond lengths. There are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent 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 2.10–2.27 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent CaO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.05–2.18 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 two shorter (2.13 Å) and four longer (2.17 Å) Mg–O bond lengths. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.14 Å) and two longer (2.15 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one CaO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–10°. There are a spread of Mg–O bond distances ranging from 2.11–2.19 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 0–2°. There are a spread of Mg–O bond distances ranging from 2.14–2.16 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are four shorter (2.14 Å) and two longer (2.16 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 CaO6 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 2.12–2.18 Å. Al is bonded to six O atoms to form AlO6 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 is two shorter (1.94 Å) and four longer (2.03 Å) Al–O bond length. There are seventeen 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 0–4°. There are two shorter (2.13 Å) and one longer (2.27 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 OCaMg5 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 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°. 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 corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. Both O–Mg bond lengths are 2.14 Å. In the fifth 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 OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.16 Å) and two longer (2.18 Å) O–Mg bond lengths. In the sixth 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°. All O–Mg bond lengths are 2.14 Å. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are two shorter (2.12 Å) and two longer (2.14 Å) O–Mg bond lengths. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 1–3°. In the ninth O site, O is bonded to one Ca, four equivalent Mg, and one Al atom to form OCaMg4Al octahedra that share corners with six OCaMg4Al octahedra and edges with twelve OMg5Al 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 OCaMg4Al octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eleventh O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the twelfth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. All O–Mg bond lengths are 2.14 Å. In the thirteenth 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 0–4°. In the fourteenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. The O–Mg bond length is 2.13 Å. In the fifteenth 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°. The O–Mg bond length is 2.17 Å. In the sixteenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are one shorter (2.13 Å) and four longer (2.14 Å) O–Mg bond lengths. In the seventeenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OCaMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. There are a spread of O–Mg bond distances ranging from 2.12–2.17 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg2Ti by Materials Project

Mg2Ti is beta-derived structured and crystallizes in the monoclinic P2_1/m space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to eight Mg and four Ti atoms to form distorted MgMg8Ti4 cuboctahedra that share corners with eight TiMg8Ti4 cuboctahedra, corners with ten MgMg8Ti4 cuboctahedra, edges with seven TiMg8Ti4 cuboctahedra, edges with eleven MgMg8Ti4 cuboctahedra, faces with six TiMg8Ti4 cuboctahedra, and faces with fourteen MgMg8Ti4 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.04–3.24 Å. There are a spread of Mg–Ti bond distances ranging from 3.08–3.39 Å. In the second Mg site, Mg is bonded to eight Mg and four Ti atoms to form distorted MgMg8Ti4 cuboctahedra that share corners with six TiMg8Ti4 cuboctahedra, corners with twelve MgMg8Ti4 cuboctahedra, edges with eight MgMg8Ti4 cuboctahedra, edges with ten TiMg8Ti4 cuboctahedra, faces with six TiMg8Ti4 cuboctahedra, and faces with fourteen MgMg8Ti4 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.02–3.25 Å. There are a spread of Mg–Ti bond distances ranging from 3.08–3.37 Å. In the third Mg site, Mg is bonded to ten Mg and two Ti atoms to form MgMg10Ti2 cuboctahedra that share corners with seven TiMg8Ti4 cuboctahedra, corners with eleven MgMg8Ti4 cuboctahedra, edges with nine MgMg8Ti4 cuboctahedra, edges with nine TiMg8Ti4 cuboctahedra, faces with four TiMg8Ti4 cuboctahedra, and faces with sixteen MgMg8Ti4 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.05–3.16 Å. There are one shorter (3.34 Å) and one longer (3.37 Å) Mg–Ti bond lengths. In the fourth Mg site, Mg is bonded to nine Mg and three Ti atoms to form MgMg9Ti3 cuboctahedra that share corners with seven TiMg8Ti4 cuboctahedra, corners with eleven MgMg8Ti4 cuboctahedra, edges with five TiMg8Ti4 cuboctahedra, edges with thirteen MgMg8Ti4 cuboctahedra, faces with seven TiMg8Ti4 cuboctahedra, and faces with thirteen MgMg8Ti4 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.04–3.14 Å. There are two shorter (3.12 Å) and one longer (3.38 Å) Mg–Ti bond lengths. In the fifth Mg site, Mg is bonded to nine Mg and three Ti atoms to form distorted MgMg9Ti3 cuboctahedra that share corners with three TiMg8Ti4 cuboctahedra, corners with fifteen MgMg8Ti4 cuboctahedra, edges with six TiMg8Ti4 cuboctahedra, edges with twelve MgMg8Ti4 cuboctahedra, faces with seven TiMg8Ti4 cuboctahedra, and faces with thirteen MgMg8Ti4 cuboctahedra. Both Mg–Mg bond lengths are 3.09 Å. All Mg–Ti bond lengths are 3.06 Å. In the sixth Mg site, Mg is bonded to eight Mg and four Ti atoms to form distorted MgMg8Ti4 cuboctahedra that share corners with seven TiMg8Ti4 cuboctahedra, corners with eleven MgMg8Ti4 cuboctahedra, edges with eight TiMg8Ti4 cuboctahedra, edges with ten MgMg8Ti4 cuboctahedra, faces with six TiMg8Ti4 cuboctahedra, and faces with fourteen MgMg8Ti4 cuboctahedra. There are two shorter (3.04 Å) and one longer (3.10 Å) Mg–Mg bond lengths. There are a spread of Mg–Ti bond distances ranging from 3.08–3.37 Å. In the seventh Mg site, Mg is bonded to seven Mg and five Ti atoms to form MgMg7Ti5 cuboctahedra that share corners with seven TiMg8Ti4 cuboctahedra, corners with eleven MgMg8Ti4 cuboctahedra, edges with four TiMg8Ti4 cuboctahedra, edges with fourteen MgMg8Ti4 cuboctahedra, faces with nine TiMg8Ti4 cuboctahedra, and faces with eleven MgMg8Ti4 cuboctahedra. Both Mg–Mg bond lengths are 3.04 Å. There are a spread of Mg–Ti bond distances ranging from 3.10–3.21 Å. In the eighth Mg site, Mg is bonded to seven Mg and five Ti atoms to form MgMg7Ti5 cuboctahedra that share corners with seven TiMg8Ti4 cuboctahedra, corners with eleven MgMg8Ti4 cuboctahedra, edges with three equivalent TiMg8Ti4 cuboctahedra, edges with fifteen MgMg8Ti4 cuboctahedra, faces with nine TiMg8Ti4 cuboctahedra, and faces with eleven MgMg8Ti4 cuboctahedra. Both Mg–Mg bond lengths are 3.03 Å. There are a spread of Mg–Ti bond distances ranging from 3.09–3.19 Å. There are four inequivalent Ti sites. In the first Ti site, Ti is bonded to eight Mg and four Ti atoms to form TiMg8Ti4 cuboctahedra that share corners with six TiMg8Ti4 cuboctahedra, corners with twelve MgMg8Ti4 cuboctahedra, edges with seven TiMg8Ti4 cuboctahedra, edges with eleven MgMg8Ti4 cuboctahedra, faces with six TiMg8Ti4 cuboctahedra, and faces with fourteen MgMg8Ti4 cuboctahedra. There are a spread of Ti–Ti bond distances ranging from 2.61–2.88 Å. In the second Ti site, Ti is bonded to eight Mg and four Ti atoms to form TiMg8Ti4 cuboctahedra that share corners with four TiMg8Ti4 cuboctahedra, corners with fourteen MgMg8Ti4 cuboctahedra, edges with six TiMg8Ti4 cuboctahedra, edges with twelve MgMg8Ti4 cuboctahedra, faces with six TiMg8Ti4 cuboctahedra, and faces with fourteen MgMg8Ti4 cuboctahedra. There are one shorter (2.70 Å) and two longer (2.86 Å) Ti–Ti bond lengths. In the third Ti site, Ti is bonded to eight Mg and four Ti atoms to form TiMg8Ti4 cuboctahedra that share corners with seven TiMg8Ti4 cuboctahedra, corners with eleven MgMg8Ti4 cuboctahedra, edges with five TiMg8Ti4 cuboctahedra, edges with thirteen MgMg8Ti4 cuboctahedra, faces with six TiMg8Ti4 cuboctahedra, and faces with fourteen MgMg8Ti4 cuboctahedra. Both Ti–Ti bond lengths are 2.89 Å. In the fourth Ti site, Ti is bonded to six Mg and six Ti atoms to form TiMg6Ti6 cuboctahedra that share corners with three TiMg8Ti4 cuboctahedra, corners with fifteen MgMg8Ti4 cuboctahedra, edges with two TiMg8Ti4 cuboctahedra, edges with sixteen MgMg8Ti4 cuboctahedra, faces with eight TiMg8Ti4 cuboctahedra, and faces with twelve MgMg8Ti4 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg30NbAlO32 by Materials Project

Mg30NbAlO32 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 NbO6 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 2.02–2.29 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 (2.27 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 2.13–2.17 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent 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 (2.04 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 NbO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are four shorter (2.14 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°. There are two shorter (2.14 Å) and four longer (2.15 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 1–8°. There are four shorter (2.14 Å) and two longer (2.16 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 NbO6 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 2.13–2.17 Å. Nb is bonded to six O atoms to form NbO6 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) Nb–O bond lengths. 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 (2.00 Å) and two longer (2.02 Å) Al–O bond lengths. There are seventeen 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 0–4°. 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 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 0–2°. 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 0–1°. 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 five Mg and one Nb atom to form OMg5Nb octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. The O–Mg bond length is 2.02 Å. In the seventh O site, O is bonded to five Mg and one Nb atom to form OMg5Nb octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of O–Mg bond distances ranging from 2.02–2.17 Å. 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°. 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 0–5°. There are two shorter (2.14 Å) and two longer (2.15 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 OMg5Nb octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. The O–Mg bond length is 2.13 Å. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Nb octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are two shorter (2.13 Å) and two longer (2.14 Å) O–Mg bond lengths. In the twelfth 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°. There are two shorter (2.16 Å) and one longer (2.29 Å) O–Mg bond lengths. In the thirteenth O site, O is bonded to five Mg and one Nb atom to form OMg5Nb 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 2.17 Å. In the fourteenth O site, O is bonded to five Mg and one Nb atom to form OMg5Nb octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are two shorter (2.15 Å) and two longer (2.17 Å) O–Mg bond lengths. In the fifteenth 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 one longer (2.17 Å) O–Mg bond lengths. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Nb octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. Both O–Mg bond lengths are 2.13 Å. In the seventeenth 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 a spread of O–Mg bond distances ranging from 2.14–2.17 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Si4 by Materials Project

Mg3Si4 is Magnesium tetraboride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are twelve inequivalent Mg sites. In the first Mg site, Mg is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.75–3.10 Å. In the second 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 2.73–3.20 Å. In the third Mg site, Mg is bonded to six Si atoms to form distorted corner-sharing MgSi6 trigonal bipyramids. There are a spread of Mg–Si bond distances ranging from 2.68–3.25 Å. In the fourth Mg site, Mg is bonded in a 6-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.71–3.03 Å. In the fifth Mg site, Mg is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.79–3.07 Å. In the sixth Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.67–2.86 Å. In the seventh Mg site, Mg is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.72–3.07 Å. In the eighth 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 2.79–2.95 Å. In the ninth Mg site, Mg is bonded to five Si atoms to form distorted corner-sharing MgSi5 square pyramids. There are a spread of Mg–Si bond distances ranging from 2.68–2.93 Å. In the tenth Mg site, Mg is bonded in a 6-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.75–3.17 Å. In the eleventh Mg site, Mg is bonded in a 6-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.72–3.23 Å. In the twelfth Mg site, Mg is bonded in a 8-coordinate geometry to eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.70–3.00 Å. There are sixteen inequivalent Si sites. In the first Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. There are one shorter (2.36 Å) and one longer (2.46 Å) Si–Si bond lengths. In the second 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 2.39–2.53 Å. In the third Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.41–2.50 Å. In the fourth Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. There are one shorter (2.42 Å) and one longer (2.53 Å) Si–Si bond lengths. In the fifth Si site, Si is bonded in a 6-coordinate geometry to two Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.37–2.49 Å. In the sixth Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. The Si–Si bond length is 2.69 Å. In the seventh Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. The Si–Si bond length is 2.52 Å. In the eighth Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms. There are one shorter (2.40 Å) and one longer (2.51 Å) Si–Si bond lengths. In the ninth Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms. The Si–Si bond length is 2.36 Å. In the tenth Si site, Si is bonded in a 6-coordinate geometry to two Mg and four Si atoms. The Si–Si bond length is 2.42 Å. In the eleventh Si site, Si is bonded in a 9-coordinate geometry to five Mg and four Si atoms. The Si–Si bond length is 2.74 Å. In the twelfth Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. The Si–Si bond length is 2.64 Å. In the thirteenth Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. In the fourteenth Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms. In the fifteenth Si site, Si is bonded in a 9-coordinate geometry to seven Mg and two Si atoms. In the sixteenth Si site, Si is bonded in a 8-coordinate geometry to four Mg and four Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg30NbAlO32 by Materials Project

Mg30NbAlO32 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 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 2.11–2.26 Å. In the second 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 2.04–2.17 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 two shorter (2.13 Å) and four 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 corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.13 Å) and two longer (2.15 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 NbO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–11°. There are a spread of Mg–O bond distances ranging from 2.12–2.18 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 0–2°. There are three shorter (2.14 Å) and three longer (2.15 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 1–6°. There are four shorter (2.14 Å) and two longer (2.15 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 NbO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.17 Å. Nb is bonded to six O atoms to form NbO6 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 (2.24 Å) and two longer (2.35 Å) Nb–O bond lengths. Al is bonded to six O atoms to form AlO6 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 is two shorter (1.93 Å) and four longer (2.03 Å) Al–O bond length. There are seventeen 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 0–4°. There are two shorter (2.14 Å) and one longer (2.26 Å) O–Mg bond lengths. In the second O site, O is bonded to five Mg and one Nb atom to form OMg5Nb octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg5Nb octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O site, O is bonded to six Mg atoms to form 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°. 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 corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. Both O–Mg bond lengths are 2.14 Å. In the fifth O site, O is bonded to five Mg and one Nb atom to form OMg5Nb octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg5Nb octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.15 Å) and two longer (2.17 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 OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. All O–Mg bond lengths are 2.14 Å. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OMg5Nb octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.12 Å) and two longer (2.14 Å) O–Mg bond lengths. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 1–2°. In the ninth O site, O is bonded to four equivalent Mg, one Nb, and one Al atom to form OMg4NbAl octahedra that share corners with six OMg4NbAl octahedra and edges with twelve OMg5Al 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 OMg4NbAl octahedra and edges with twelve OMg5Nb octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the eleventh O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the twelfth 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°. All O–Mg bond lengths are 2.14 Å. In the thirteenth 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 0–4°. In the fourteenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. The O–Mg bond length is 2.13 Å. In the fifteenth 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°. The O–Mg bond length is 2.15 Å. In the sixteenth O site, O is bonded to six Mg atoms to form a mixture of corner and edge-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are one shorter (2.13 Å) and four longer (2.14 Å) O–Mg bond lengths. In the seventeenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg6 octahedra and edges with twelve OMg5Nb octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of O–Mg bond distances ranging from 2.12–2.15 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg30AlVO32 by Materials Project

Mg30VAlO32 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 VO6 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 2.08–2.27 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent 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 (2.27 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 2.13–2.16 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent VO6 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 (2.10 Å) and four 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 VO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are four shorter (2.13 Å) and two longer (2.14 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°. There are two shorter (2.13 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 AlO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–7°. There are four shorter (2.13 Å) and two longer (2.15 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 VO6 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 2.13–2.15 Å. V is bonded to six O atoms to form VO6 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 (2.17 Å) and four longer (2.19 Å) V–O bond lengths. 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 (2.00 Å) and two longer (2.01 Å) Al–O bond lengths. There are seventeen 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 0–4°. 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 five Mg and one V atom to form a mixture of edge and corner-sharing OMg5V octahedra. The corner-sharing octahedral tilt angles are 0°. 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 0–1°. 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 0–5°. In the sixth O site, O is bonded to five Mg and one V atom to form OMg5V octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. The O–Mg bond length is 2.08 Å. In the seventh O site, O is bonded to five Mg and one V atom to form OMg5V 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 a spread of O–Mg bond distances ranging from 2.08–2.15 Å. 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 0–4°. 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 0–4°. There are two shorter (2.13 Å) and two longer (2.14 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 OMg5V octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. The O–Mg bond length is 2.13 Å. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5V octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. All O–Mg bond lengths are 2.13 Å. In the twelfth 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 0–5°. There are two shorter (2.15 Å) and one longer (2.27 Å) O–Mg bond lengths. In the thirteenth O site, O is bonded to five Mg and one V atom to form OMg5V octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. Both O–Mg bond lengths are 2.15 Å. In the fourteenth O site, O is bonded to five Mg and one V atom to form OMg5V 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 (2.13 Å) and two longer (2.15 Å) O–Mg bond lengths. In the fifteenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are two shorter (2.13 Å) and one longer (2.16 Å) O–Mg bond lengths. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5V octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. Both O–Mg bond lengths are 2.13 Å. In the seventeenth O site, O is bonded to six Mg atoms to form a mixture of edge and corner-sharing OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of O–Mg bond distances ranging from 2.13–2.16 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg4Si7 by Materials Project

Mg4Si7 is Magnesium tetraboride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded in a 9-coordinate geometry to one Mg and thirteen Si atoms. The Mg–Mg bond length is 3.19 Å. There are a spread of Mg–Si bond distances ranging from 2.87–3.18 Å. In the second Mg site, Mg is bonded in a distorted rectangular see-saw-like geometry to two equivalent Mg and four Si atoms. There are one shorter (3.06 Å) and one longer (3.31 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.68–2.87 Å. In the third Mg site, Mg is bonded in a 6-coordinate geometry to one Mg and six Si atoms. The Mg–Mg bond length is 3.24 Å. There are a spread of Mg–Si bond distances ranging from 2.78–3.11 Å. In the fourth Mg site, Mg is bonded in a 6-coordinate geometry to two equivalent Mg and six Si atoms. There are one shorter (3.21 Å) and one longer (3.41 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.79–3.08 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to three Mg and nine Si atoms. There are a spread of Mg–Si bond distances ranging from 2.81–3.16 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 2.57–3.01 Å. In the seventh Mg site, Mg is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.80–3.12 Å. In the eighth Mg site, Mg is bonded in a 2-coordinate geometry to three Mg and eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.75–3.14 Å. There are fourteen inequivalent Si sites. In the first Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.40–2.52 Å. In the second 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 2.40–2.52 Å. In the third Si site, Si is bonded in a 6-coordinate geometry to two Mg and four Si atoms. The Si–Si bond length is 2.52 Å. In the fourth Si site, Si is bonded to three Mg and four Si atoms to form distorted edge-sharing SiMg3Si4 hexagonal pyramids. There are one shorter (2.38 Å) and one longer (2.47 Å) Si–Si bond lengths. In the fifth Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. There are one shorter (2.42 Å) and one longer (2.44 Å) Si–Si bond lengths. In the sixth Si site, Si is bonded in a 8-coordinate geometry to six Mg and two Si atoms. The Si–Si bond length is 2.45 Å. In the seventh Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. The Si–Si bond length is 2.30 Å. In the eighth 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 2.43–2.51 Å. In the ninth Si site, Si is bonded in a 1-coordinate geometry to six Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.46–2.49 Å. In the tenth Si site, Si is bonded in a 6-coordinate geometry to two Mg and four Si atoms. There are one shorter (2.43 Å) and one longer (2.49 Å) Si–Si bond lengths. In the eleventh Si site, Si is bonded in a 8-coordinate geometry to seven Mg and one Si atom. The Si–Si bond length is 2.41 Å. In the twelfth Si site, Si is bonded in a 10-coordinate geometry to six Mg and four Si atoms. In the thirteenth Si site, Si is bonded in a 9-coordinate geometry to five Mg and four Si atoms. In the fourteenth Si site, Si is bonded in a 6-coordinate geometry to two equivalent Mg and four Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg30AlZnO32 by Materials Project

Mg30ZnAlO32 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 ZnO6 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 2.05–2.28 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 (2.11 Å) and two longer (2.26 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 2.12–2.16 Å. In the fourth 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 (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 ZnO6 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 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 corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–2°. There are two shorter (2.13 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 AlO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–8°. There are four shorter (2.13 Å) and two longer (2.15 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 ZnO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–5°. There are one shorter (2.13 Å) and five longer (2.14 Å) Mg–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 (2.19 Å) and four longer (2.22 Å) Zn–O bond lengths. 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 (2.01 Å) Al–O bond lengths. There are seventeen 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 0–4°. 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 five Mg and one Zn atom to form a mixture of corner and edge-sharing OMg5Zn 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 OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedral tilt angles are 1°. In the fifth 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 0–7°. In the sixth O site, O is bonded to five Mg and one Zn atom to form OMg5Zn octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. The O–Mg bond length is 2.05 Å. In the seventh O site, O is bonded to five Mg and one Zn atom to form OMg5Zn octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of O–Mg bond distances ranging from 2.05–2.14 Å. 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 0–5°. 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 0–5°. There are two shorter (2.13 Å) and two longer (2.14 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 OMg5Zn octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. The O–Mg bond length is 2.12 Å. In the eleventh 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 0–3°. There are two shorter (2.13 Å) and two longer (2.14 Å) O–Mg bond lengths. In the twelfth 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 0–7°. There are two shorter (2.15 Å) and one longer (2.28 Å) O–Mg bond lengths. In the thirteenth O site, O is bonded to five Mg and one Zn atom to form OMg5Zn 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 2.14 Å. In the fourteenth O site, O is bonded to five Mg and one Zn atom to form OMg5Zn octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are two shorter (2.13 Å) and two longer (2.14 Å) O–Mg bond lengths. In the fifteenth 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 0–5°. There are two shorter (2.13 Å) and one longer (2.16 Å) O–Mg bond lengths. In the sixteenth 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 0–3°. Both O–Mg bond lengths are 2.14 Å. In the seventeenth 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 0–5°. There are a spread of O–Mg bond distances ranging from 2.13–2.16 Å.

36 MATERIALS SCIENCE↗

Materials Data on NaMg30SiO32 by Materials Project

NaMg30SiO32 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Na is bonded to six O atoms to form NaO6 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) Na–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 NaO6 octahedra, corners with two equivalent MgO6 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 2.00–2.40 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SiO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.10 Å) and two longer (2.36 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 2.11–2.18 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent NaO6 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 (2.17 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 NaO6 octahedra, an edgeedge with one SiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–15°. There are a spread of Mg–O bond distances ranging from 2.11–2.19 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–3°. There are two shorter (2.13 Å) and four longer (2.15 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 1–15°. There are a spread of Mg–O bond distances ranging from 2.12–2.17 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one NaO6 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 2.12–2.16 Å. 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°. There is four shorter (1.87 Å) and two longer (1.91 Å) Si–O bond length. There are seventeen inequivalent O sites. In the first O site, O is bonded to five Mg and one Si atom to form OMg5Si octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second 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 0–7°. In the third O site, O is bonded to one Na and five Mg atoms to form a mixture of corner and edge-sharing ONaMg5 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 equivalent OMg6 octahedra and edges with twelve OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 2–3°. In the fifth O site, O is bonded to five Mg and one Si atom to form a mixture of distorted corner and edge-sharing OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–12°. In the sixth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. The O–Mg bond length is 2.00 Å. In the seventh O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are a spread of O–Mg bond distances ranging from 2.00–2.14 Å. 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 0–9°. 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 0–9°. There are two shorter (2.13 Å) and two longer (2.15 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 ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. The O–Mg bond length is 2.11 Å. In the eleventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are two shorter (2.13 Å) and two longer (2.14 Å) O–Mg bond lengths. In the twelfth O site, O is bonded to five Mg and one Si atom to form a mixture of distorted corner and edge-sharing OMg5Si octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are two shorter (2.17 Å) and one longer (2.40 Å) O–Mg bond lengths. In the thirteenth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. Both O–Mg bond lengths are 2.14 Å. In the fourteenth O site, O is bonded to one Na and five Mg atoms to form ONaMg5 octahedra that share corners with six OMg5Si octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–12°. There are two shorter (2.11 Å) and two longer (2.14 Å) O–Mg bond lengths. In the fifteenth 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 0–9°. There are two shorter (2.13 Å) and one longer (2.18 Å) O–Mg bond lengths. In the sixteenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six ONaMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. Both O–Mg bond lengths are 2.14 Å. In the seventeenth 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 0–9°. There are a spread of O–Mg bond distances ranging from 2.13–2.18 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Hg by Materials Project

Mg5Hg crystallizes in the trigonal R32 space group. The structure is three-dimensional. there are nine inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Hg atoms to form distorted MgMg10Hg2 cuboctahedra that share corners with eighteen MgMg10Hg2 cuboctahedra, edges with four equivalent HgMg12 cuboctahedra, edges with fourteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.18 Å. Both Mg–Hg bond lengths are 3.15 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Hg atoms to form distorted MgMg10Hg2 cuboctahedra that share corners with eighteen MgMg10Hg2 cuboctahedra, edges with four equivalent HgMg12 cuboctahedra, edges with fourteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.18 Å. Both Mg–Hg bond lengths are 3.15 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Hg atoms to form distorted MgMg10Hg2 cuboctahedra that share corners with eighteen MgMg10Hg2 cuboctahedra, edges with four equivalent HgMg12 cuboctahedra, edges with fourteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. There are two shorter (3.14 Å) and two longer (3.16 Å) Mg–Mg bond lengths. Both Mg–Hg bond lengths are 3.15 Å. In the fourth Mg site, Mg is bonded to nine Mg and three equivalent Hg atoms to form distorted MgMg9Hg3 cuboctahedra that share corners with six equivalent HgMg12 cuboctahedra, corners with twelve MgMg9Hg3 cuboctahedra, edges with eighteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. All Mg–Mg bond lengths are 3.16 Å. All Mg–Hg bond lengths are 3.16 Å. In the fifth Mg site, Mg is bonded to nine Mg and three equivalent Hg atoms to form distorted MgMg9Hg3 cuboctahedra that share corners with six equivalent HgMg12 cuboctahedra, corners with twelve MgMg9Hg3 cuboctahedra, edges with eighteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. All Mg–Hg bond lengths are 3.16 Å. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Hg atoms to form distorted MgMg10Hg2 cuboctahedra that share corners with eighteen MgMg10Hg2 cuboctahedra, edges with four equivalent HgMg12 cuboctahedra, edges with fourteen MgMg9Hg3 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.18 Å. Both Mg–Hg bond lengths are 3.15 Å. In the seventh Mg site, Mg is bonded to nine Mg and three equivalent Hg atoms to form distorted MgMg9Hg3 cuboctahedra that share corners with six equivalent HgMg12 cuboctahedra, corners with twelve MgMg9Hg3 cuboctahedra, edges with eighteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. All Mg–Mg bond lengths are 3.16 Å. All Mg–Hg bond lengths are 3.16 Å. In the eighth Mg site, Mg is bonded to nine Mg and three equivalent Hg atoms to form distorted MgMg9Hg3 cuboctahedra that share corners with six equivalent HgMg12 cuboctahedra, corners with twelve MgMg9Hg3 cuboctahedra, edges with eighteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. All Mg–Hg bond lengths are 3.16 Å. In the ninth Mg site, Mg is bonded to nine Mg and three equivalent Hg atoms to form distorted MgMg9Hg3 cuboctahedra that share corners with six equivalent HgMg12 cuboctahedra, corners with twelve MgMg9Hg3 cuboctahedra, edges with eighteen MgMg10Hg2 cuboctahedra, faces with four equivalent HgMg12 cuboctahedra, and faces with sixteen MgMg10Hg2 cuboctahedra. There are three shorter (3.14 Å) and five longer (3.16 Å) Mg–Mg bond lengths. All Mg–Hg bond lengths are 3.16 Å. Hg is bonded to twelve Mg atoms to form HgMg12 cuboctahedra that share corners with six equivalent HgMg12 cuboctahedra, corners with twelve MgMg9Hg3 cuboctahedra, edges with six equivalent HgMg12 cuboctahedra, edges with twelve MgMg10Hg2 cuboctahedra, and faces with twenty MgMg10Hg2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Si6 by Materials Project

Mg5Si6 is Magnesium tetraboride-like structured and crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are ten inequivalent Mg sites. In the first 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 2.67–2.88 Å. In the second 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 2.65–2.83 Å. In the third Mg site, Mg is bonded in a 5-coordinate geometry to one Mg and five Si atoms. The Mg–Mg bond length is 3.36 Å. There are a spread of Mg–Si bond distances ranging from 2.81–3.05 Å. In the fourth Mg site, Mg is bonded in a 5-coordinate geometry to five Mg and nine Si atoms. There are a spread of Mg–Mg bond distances ranging from 3.19–3.26 Å. There are a spread of Mg–Si bond distances ranging from 2.81–3.21 Å. In the fifth Mg site, Mg is bonded in a 4-coordinate geometry to two equivalent Mg and six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.68–3.09 Å. In the sixth Mg site, Mg is bonded to four Si atoms to form distorted MgSi4 trigonal pyramids that share corners with two equivalent SiMg3Si4 hexagonal pyramids and corners with two equivalent MgSi4 trigonal pyramids. There are a spread of Mg–Si bond distances ranging from 2.72–2.81 Å. In the seventh Mg site, Mg is bonded in a 8-coordinate geometry to one Mg and eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.73–3.11 Å. In the eighth Mg site, Mg is bonded in a 4-coordinate geometry to one Mg and six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.69–3.13 Å. In the ninth 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 2.81–3.17 Å. In the tenth Mg site, Mg is bonded in a 7-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.81–2.92 Å. There are twelve inequivalent Si sites. In the first Si site, Si is bonded in a 2-coordinate geometry to five Mg and two Si atoms. There are one shorter (2.43 Å) and one longer (2.45 Å) Si–Si bond lengths. In the second Si site, Si is bonded in a 9-coordinate geometry to seven Mg and two Si atoms. The Si–Si bond length is 2.44 Å. In the third Si site, Si is bonded in a 9-coordinate geometry to five Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.40–2.44 Å. In the fourth Si site, Si is bonded in a 9-coordinate geometry to seven Mg and two Si atoms. The Si–Si bond length is 2.49 Å. In the fifth Si site, Si is bonded to three Mg and four Si atoms to form distorted SiMg3Si4 hexagonal pyramids that share corners with two equivalent MgSi4 trigonal pyramids and edges with two equivalent SiMg3Si4 hexagonal pyramids. There are one shorter (2.42 Å) and two longer (2.45 Å) Si–Si bond lengths. In the sixth Si site, Si is bonded in a 1-coordinate geometry to four Mg and three Si atoms. There are one shorter (2.58 Å) and one longer (2.61 Å) Si–Si bond lengths. In the seventh Si site, Si is bonded in a 2-coordinate geometry to six Mg and three Si atoms. There are one shorter (2.52 Å) and one longer (2.55 Å) Si–Si bond lengths. In the eighth Si site, Si is bonded in a 8-coordinate geometry to six Mg and two equivalent Si atoms. Both Si–Si bond lengths are 2.49 Å. In the ninth Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. In the tenth Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. In the eleventh Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. In the twelfth Si site, Si is bonded in a 8-coordinate geometry to six Mg and two equivalent Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on NaMg6Nb by Materials Project

NaMg6Nb is beta Cu3Ti-derived structured and crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Na is bonded to ten Mg and two equivalent Nb atoms to form NaMg10Nb2 cuboctahedra that share corners with four equivalent MgNa2Mg10 cuboctahedra, corners with six equivalent NaMg10Nb2 cuboctahedra, edges with four equivalent NbNa2Mg10 cuboctahedra, edges with ten MgNa2Mg10 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with twelve MgNa2Mg10 cuboctahedra. There are a spread of Na–Mg bond distances ranging from 3.06–3.27 Å. Both Na–Nb bond lengths are 3.23 Å. There are eight inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Na, eight Mg, and two equivalent Nb atoms. There are a spread of Mg–Mg bond distances ranging from 3.00–3.40 Å. Both Mg–Nb bond lengths are 3.04 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Na, eight Mg, and two equivalent Nb atoms. There are a spread of Mg–Mg bond distances ranging from 3.00–3.40 Å. Both Mg–Nb bond lengths are 3.04 Å. In the third Mg site, Mg is bonded to two equivalent Na and ten Mg atoms to form MgNa2Mg10 cuboctahedra that share corners with four equivalent NaMg10Nb2 cuboctahedra, corners with six equivalent MgNa2Mg10 cuboctahedra, edges with two equivalent NaMg10Nb2 cuboctahedra, edges with twelve MgNa2Mg8Nb2 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with six equivalent NbNa2Mg10 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. There are four shorter (3.15 Å) and three longer (3.16 Å) Mg–Mg bond lengths. In the fourth Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Nb atoms to form distorted MgNa2Mg8Nb2 cuboctahedra that share corners with four equivalent NbNa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg8Nb2 cuboctahedra, edges with two equivalent NbNa2Mg10 cuboctahedra, edges with four equivalent NaMg10Nb2 cuboctahedra, edges with eight MgNa2Mg10 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.13–3.21 Å. There are one shorter (3.04 Å) and one longer (3.29 Å) Mg–Nb bond lengths. In the fifth Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Nb atoms to form distorted MgNa2Mg8Nb2 cuboctahedra that share corners with four equivalent NbNa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg8Nb2 cuboctahedra, edges with two equivalent NbNa2Mg10 cuboctahedra, edges with four equivalent NaMg10Nb2 cuboctahedra, edges with eight MgNa2Mg10 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. Both Mg–Na bond lengths are 3.15 Å. There are a spread of Mg–Mg bond distances ranging from 3.13–3.21 Å. There are one shorter (3.04 Å) and one longer (3.29 Å) Mg–Nb bond lengths. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Nb atoms to form MgMg10Nb2 cuboctahedra that share corners with four equivalent NbNa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg8Nb2 cuboctahedra, edges with two equivalent NbNa2Mg10 cuboctahedra, edges with eight MgNa2Mg10 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, faces with six equivalent NaMg10Nb2 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. There are two shorter (3.17 Å) and one longer (3.20 Å) Mg–Mg bond lengths. Both Mg–Nb bond lengths are 3.20 Å. In the seventh Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Na, eight Mg, and two equivalent Nb atoms. Both Mg–Mg bond lengths are 3.18 Å. Both Mg–Nb bond lengths are 3.04 Å. In the eighth Mg site, Mg is bonded to two equivalent Na, eight Mg, and two equivalent Nb atoms to form distorted MgNa2Mg8Nb2 cuboctahedra that share corners with four equivalent NbNa2Mg10 cuboctahedra, corners with fourteen MgNa2Mg8Nb2 cuboctahedra, edges with two equivalent NbNa2Mg10 cuboctahedra, edges with four equivalent NaMg10Nb2 cuboctahedra, edges with eight MgNa2Mg10 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with eight MgNa2Mg10 cuboctahedra. Both Mg–Mg bond lengths are 3.18 Å. There are one shorter (3.04 Å) and one longer (3.29 Å) Mg–Nb bond lengths. Nb is bonded to two equivalent Na and ten Mg atoms to form NbNa2Mg10 cuboctahedra that share corners with six equivalent NbNa2Mg10 cuboctahedra, corners with twelve MgNa2Mg8Nb2 cuboctahedra, edges with four equivalent NaMg10Nb2 cuboctahedra, edges with six MgNa2Mg8Nb2 cuboctahedra, faces with two equivalent NaMg10Nb2 cuboctahedra, faces with two equivalent NbNa2Mg10 cuboctahedra, and faces with twelve MgNa2Mg10 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on K2Na2Ca4Mg15(SiO3)24 by Materials Project

K2Na2Ca4Mg15(SiO3)24 is Esseneite-derived structured and crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are two inequivalent K sites. In the first K site, K is bonded in a 2-coordinate geometry to eight O atoms. There are a spread of K–O bond distances ranging from 2.65–3.04 Å. In the second K site, K is bonded in a 2-coordinate geometry to ten O atoms. There are a spread of K–O bond distances ranging from 2.64–3.34 Å. Na is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Na–O bond distances ranging from 2.44–2.94 Å. There are two inequivalent Ca sites. In the first Ca site, Ca is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.86 Å. In the second Ca site, Ca is bonded in a 8-coordinate geometry to eight O atoms. There are a spread of Ca–O bond distances ranging from 2.36–2.86 Å. There are nine inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six SiO4 tetrahedra and edges with three MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.03–2.14 Å. In the second 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 2.02–2.19 Å. In the third 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 2.02–2.19 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with four SiO4 tetrahedra and edges with six MgO6 octahedra. There are two shorter (2.09 Å) and four longer (2.11 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 four SiO4 tetrahedra and edges with six MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 2.09–2.11 Å. In the sixth Mg site, Mg is bonded to six O atoms to form 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 2.09–2.11 Å. In the seventh Mg site, Mg is bonded to six O atoms to form 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 2.05–2.12 Å. In the eighth Mg site, Mg is bonded to six O atoms to form 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 2.05–2.12 Å. In the ninth Mg site, Mg is bonded to six O atoms to form 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 2.04–2.11 Å. There are twelve 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 and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–61°. There are a spread of Si–O bond distances ranging from 1.62–1.66 Å. In the second 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 58–61°. There are a spread of Si–O bond distances ranging from 1.62–1.65 Å. In the third 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 58–61°. There are a spread of Si–O bond distances ranging from 1.61–1.66 Å. In the fourth 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 58–61°. 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 SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 58–61°. 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 58–61°. 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 two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–58°. There are a spread of Si–O bond distances ranging from 1.61–1.70 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 two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–57°. There are a spread of Si–O bond distances ranging from 1.60–1.70 Å. In the ninth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–55°. There are a spread of Si–O bond distances ranging from 1.61–1.70 Å. In the tenth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 35–58°. There are a spread of Si–O bond distances ranging from 1.60–1.70 Å. In the eleventh Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 33–55°. There are a spread of Si–O bond distances ranging from 1.61–1.70 Å. In the twelfth Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with two SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 32–57°. There are a spread of Si–O bond distances ranging from 1.59–1.70 Å. There are forty-two inequivalent O sites. In the first O site, O is bonded in a distorted rectangular see-saw-like geometry to one Ca, two Mg, and one Si atom. In the second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Na, two Mg, and one Si atom. In the third O site, O is bonded in a distorted rectangular see-saw-like geometry to one Ca, two Mg, and one Si atom. In the fourth O site, O is bonded in a 2-coordinate geometry to one Ca and two Si atoms. In the fifth O site, O is bonded in a 2-coordinate geometry to one K, one Na, and two Si atoms. In the sixth O site, O is bonded in a 3-coordinate geometry to one Ca and two Si atoms. In the seventh O site, O is bonded in a 2-coordinate geometry to one K, one Ca, and two Si atoms. In the eighth O site, O is bonded in a 3-coordinate geometry to one Ca and two Si atoms. In the ninth O site, O is bonded in a 2-coordinate geometry to one K, one Na, and two Si atoms. In the tenth O site, O is bonded in a 2-coordinate geometry to one Ca and two Si atoms. In the eleventh O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Na, and two Si atoms. In the twelfth O site, O is bonded in a 2-coordinate geometry to one K, one Ca, and two Si atoms. In the thirteenth O site, O is bonded in a 2-coordinate geometry to one Ca and two Si atoms. In the fourteenth O site, O is bonded in a 2-coordinate geometry to one K, one Ca, and two Si atoms. In the fifteenth O site, O is bonded in a distorted bent 150 degrees geometry to one K, one Na, and two Si atoms. In the sixteenth O site, O is bonded in a 2-coordinate geometry to one K and two equivalent Si atoms. In the seventeenth O site, O is bonded in a bent 150 degrees geometry to two equivalent Si atoms. In the eighteenth O site, O is bonded in a 2-coordinate geometry to one K and two equivalent Si atoms. In the nineteenth O site, O is bonded in a bent 150 degrees geometry to two equivalent Si atoms. In the twentieth O site, O is bonded in a 2-coordinate geometry to one K and two equivalent Si atoms. In the twenty-first O site, O is bonded in a 2-coordinate geometry to one K and two equivalent Si atoms. In the twenty-second O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the twenty-third O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the twenty-fourth O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the twenty-fifth O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the twenty-sixth O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the twenty-seventh O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the twenty-eighth O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mg, and one Si atom. In the twenty-ninth O site, O is bonded in a distorted T-shaped geometry to one Na, one Mg, and one Si atom. In the thirtieth O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mg, and one Si atom. In the thirty-first O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mg, and one Si atom. In the thirty-second O site, O is bonded in a distorted T-shaped geometry to one Ca, one Mg, and one Si atom. In the thirty-third O site, O is bonded in a distorted T-shaped geometry to one Na, one Mg, and one Si atom. In the thirty-fourth O site, O is bonded to three Mg and one Si atom to form distorted corner-sharing OMg3Si trigonal pyramids. In the thirty-fifth 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 thirty-sixth 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 thirty-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 thirty-eighth O site, O is bonded in a distorted rectangular see-saw-like geometry to three Mg and one Si atom. In the thirty-ninth 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 fortieth O site, O is bonded in a distorted rectangular see-saw-like geometry to one Ca, two Mg, and one Si atom. In the forty-first O site, O is bonded in a distorted rectangular see-saw-like geometry to one Ca, two Mg, and one Si atom. In the forty-second O site, O is bonded in a distorted rectangular see-saw-like geometry to one Na, two Mg, and one Si atom.

36 MATERIALS SCIENCE↗

Materials Data on MgAlCu by Materials Project

MgCuAl crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are seven inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to four Mg, six Cu, and six equivalent Al atoms. There are three shorter (3.19 Å) and one longer (3.26 Å) Mg–Mg bond lengths. There are three shorter (2.84 Å) and three longer (3.05 Å) Mg–Cu bond lengths. All Mg–Al bond lengths are 3.13 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to four Mg, nine Cu, and three equivalent Al atoms. The Mg–Mg bond length is 2.86 Å. There are six shorter (2.99 Å) and three longer (3.10 Å) Mg–Cu bond lengths. All Mg–Al bond lengths are 3.07 Å. In the third Mg site, Mg is bonded in a 12-coordinate geometry to four Mg, nine Cu, and three equivalent Al atoms. There are one shorter (2.86 Å) and three longer (3.19 Å) Mg–Mg bond lengths. There are six shorter (2.99 Å) and three longer (3.10 Å) Mg–Cu bond lengths. All Mg–Al bond lengths are 3.07 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to one Mg, three equivalent Cu, and nine equivalent Al atoms. All Mg–Cu bond lengths are 3.08 Å. There are three shorter (3.04 Å) and six longer (3.06 Å) Mg–Al bond lengths. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to four Mg, nine Cu, and three equivalent Al atoms. There are one shorter (2.86 Å) and three longer (3.19 Å) Mg–Mg bond lengths. There are six shorter (2.99 Å) and three longer (3.10 Å) Mg–Cu bond lengths. All Mg–Al bond lengths are 3.07 Å. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to four Mg, nine Cu, and three equivalent Al atoms. All Mg–Mg bond lengths are 3.19 Å. There are six shorter (2.99 Å) and three longer (3.10 Å) Mg–Cu bond lengths. All Mg–Al bond lengths are 3.07 Å. In the seventh Mg site, Mg is bonded in a 12-coordinate geometry to four Mg, nine Cu, and three equivalent Al atoms. All Mg–Mg bond lengths are 3.19 Å. There are six shorter (2.99 Å) and three longer (3.10 Å) Mg–Cu bond lengths. All Mg–Al bond lengths are 3.07 Å. There are three inequivalent Cu sites. In the first Cu site, Cu is bonded to six Mg, three equivalent Cu, and three equivalent Al atoms to form CuMg6Al3Cu3 cuboctahedra that share corners with six equivalent AlMg6Al4Cu2 cuboctahedra, corners with nine CuMg6Al3Cu3 cuboctahedra, edges with six equivalent CuMg6Al3Cu3 cuboctahedra, faces with nine equivalent AlMg6Al4Cu2 cuboctahedra, and faces with ten CuMg6Cu6 cuboctahedra. All Cu–Cu bond lengths are 2.55 Å. All Cu–Al bond lengths are 2.55 Å. In the second Cu site, Cu is bonded to six Mg and six Cu atoms to form CuMg6Cu6 cuboctahedra that share corners with eight CuMg6Al3Cu3 cuboctahedra, corners with ten equivalent AlMg6Al4Cu2 cuboctahedra, edges with two equivalent CuMg6Cu6 cuboctahedra, edges with four equivalent AlMg6Al4Cu2 cuboctahedra, faces with four equivalent AlMg6Al4Cu2 cuboctahedra, and faces with fourteen CuMg6Al3Cu3 cuboctahedra. All Cu–Cu bond lengths are 2.63 Å. In the third Cu site, Cu is bonded to six equivalent Mg and six equivalent Al atoms to form CuMg6Al6 cuboctahedra that share corners with twelve equivalent AlMg6Al4Cu2 cuboctahedra, edges with six equivalent CuMg6Al6 cuboctahedra, faces with two equivalent CuMg6Al3Cu3 cuboctahedra, and faces with eighteen equivalent AlMg6Al4Cu2 cuboctahedra. All Cu–Al bond lengths are 2.60 Å. Al is bonded to six Mg, two Cu, and four equivalent Al atoms to form distorted AlMg6Al4Cu2 cuboctahedra that share corners with nine CuMg6Al3Cu3 cuboctahedra, corners with nine equivalent AlMg6Al4Cu2 cuboctahedra, edges with two equivalent CuMg6Cu6 cuboctahedra, edges with four equivalent AlMg6Al4Cu2 cuboctahedra, faces with eight CuMg6Al3Cu3 cuboctahedra, and faces with ten equivalent AlMg6Al4Cu2 cuboctahedra. There are two shorter (2.61 Å) and two longer (2.64 Å) Al–Al bond lengths.

36 MATERIALS SCIENCE↗

Materials Data on LiMg6W by Materials Project

LiMg6W crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Li is bonded to ten Mg and two equivalent W atoms to form LiMg10W2 cuboctahedra that share corners with four equivalent WLi2Mg10 cuboctahedra, corners with six equivalent LiMg10W2 cuboctahedra, edges with two equivalent WLi2Mg10 cuboctahedra, edges with four equivalent MgLi2Mg10 cuboctahedra, faces with two equivalent LiMg10W2 cuboctahedra, faces with two equivalent MgLi2Mg10 cuboctahedra, and faces with two equivalent WLi2Mg10 cuboctahedra. There are a spread of Li–Mg bond distances ranging from 2.99–3.08 Å. Both Li–W bond lengths are 3.17 Å. There are eight inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent W atoms. There are a spread of Mg–Mg bond distances ranging from 3.04–3.22 Å. There are one shorter (3.04 Å) and one longer (3.06 Å) Mg–W bond lengths. In the second Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent W atoms. There are a spread of Mg–Mg bond distances ranging from 3.04–3.22 Å. There are one shorter (3.04 Å) and one longer (3.06 Å) Mg–W bond lengths. In the third Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent W atoms. There are a spread of Mg–Mg bond distances ranging from 2.87–3.31 Å. Both Mg–W bond lengths are 2.96 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent W atoms. There are a spread of Mg–Mg bond distances ranging from 2.87–3.31 Å. Both Mg–W bond lengths are 2.96 Å. In the fifth Mg site, Mg is bonded to two equivalent Li and ten Mg atoms to form distorted MgLi2Mg10 cuboctahedra that share corners with six equivalent MgLi2Mg10 cuboctahedra, edges with four equivalent LiMg10W2 cuboctahedra, faces with two equivalent LiMg10W2 cuboctahedra, faces with two equivalent MgLi2Mg10 cuboctahedra, and faces with six equivalent WLi2Mg10 cuboctahedra. There are one shorter (3.11 Å) and two longer (3.17 Å) Mg–Mg bond lengths. In the sixth Mg site, Mg is bonded in a distorted water-like geometry to ten Mg and two equivalent W atoms. The Mg–Mg bond length is 3.24 Å. Both Mg–W bond lengths are 2.95 Å. In the seventh Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent W atoms. All Mg–Mg bond lengths are 3.04 Å. There are one shorter (3.04 Å) and one longer (3.06 Å) Mg–W bond lengths. In the eighth Mg site, Mg is bonded in a 12-coordinate geometry to two equivalent Li, eight Mg, and two equivalent W atoms. Both Mg–Li bond lengths are 3.03 Å. Both Mg–Mg bond lengths are 3.04 Å. Both Mg–W bond lengths are 2.96 Å. W is bonded to two equivalent Li and ten Mg atoms to form WLi2Mg10 cuboctahedra that share corners with four equivalent LiMg10W2 cuboctahedra, corners with six equivalent WLi2Mg10 cuboctahedra, edges with two equivalent LiMg10W2 cuboctahedra, faces with two equivalent LiMg10W2 cuboctahedra, faces with two equivalent WLi2Mg10 cuboctahedra, and faces with six equivalent MgLi2Mg10 cuboctahedra.

36 MATERIALS SCIENCE↗