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Materials Data on Mg16Al12Ga by Materials Project

Mg16GaAl12 crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to six Mg, one Ga, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.12–3.22 Å. The Mg–Ga bond length is 3.02 Å. There are a spread of Mg–Al bond distances ranging from 2.96–3.14 Å. In the second Mg site, Mg is bonded in a 1-coordinate geometry to three equivalent Mg, one Ga, and twelve Al atoms. All Mg–Mg bond lengths are 3.15 Å. The Mg–Ga bond length is 2.91 Å. There are a spread of Mg–Al bond distances ranging from 3.16–3.26 Å. In the third Mg site, Mg is bonded in a 10-coordinate geometry to four Mg and six Al atoms. There are one shorter (3.02 Å) and two longer (3.04 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 3.07–3.13 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. There are two shorter (3.11 Å) and two longer (3.16 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 2.95–3.15 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. Both Mg–Mg bond lengths are 3.17 Å. There are a spread of Mg–Al bond distances ranging from 2.89–3.13 Å. Ga is bonded in a 10-coordinate geometry to four Mg and six equivalent Al atoms. All Ga–Al bond lengths are 3.02 Å. There are three inequivalent Al sites. In the first Al site, Al is bonded in a distorted q6 geometry to eight Mg and three Al atoms. There are one shorter (2.68 Å) and two longer (2.77 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. Both Al–Al bond lengths are 2.75 Å. In the third Al site, Al is bonded in a 11-coordinate geometry to seven Mg, one Ga, and three Al atoms. There are one shorter (2.72 Å) and one longer (2.76 Å) Al–Al bond lengths.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on HfMg30TiO32 by Materials Project

Mg30HfTiO32 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, corners with two equivalent TiO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.05–2.17 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent TiO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.07 Å) and four longer (2.17 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.14–2.16 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent HfO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Mg–O bond lengths are 2.15 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, an edgeedge with one TiO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 3–8°. There are a spread of Mg–O bond distances ranging from 2.10–2.21 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–3°. There are two shorter (2.14 Å) and four longer (2.16 Å) Mg–O bond lengths. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one TiO6 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 2.14–2.16 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–4°. There are a spread of Mg–O bond distances ranging from 2.10–2.20 Å. Hf is bonded to six O atoms to form HfO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.13 Å) and two longer (2.15 Å) Hf–O bond lengths. Ti is bonded to six O atoms to form TiO6 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 (2.24 Å) and four longer (2.25 Å) Ti–O bond lengths. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Ti atom to form OMg5Ti octahedra that share corners with six OMg5Ti octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Ti octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the third O site, O is bonded to five Mg and one Hf atom to form a mixture of edge and corner-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg5Ti octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are two shorter (2.10 Å) and two longer (2.16 Å) O–Mg bond lengths. In the fifth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Ti octahedra. The corner-sharing octahedra tilt angles range from 1–5°. In the sixth O site, O is bonded to five Mg and one Ti atom to form a mixture of edge and corner-sharing OMg5Ti octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the seventh O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with six OMg5Ti octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. 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 OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. In the tenth O site, O is bonded to five Mg and one Ti atom to form a mixture of edge and corner-sharing OMg5Ti octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of O–Mg bond distances ranging from 2.05–2.16 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on HfMg30CO32 by Materials Project

Mg30HfO32C crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional and consists of one methane molecule and one Mg30HfO32 framework. In the Mg30HfO32 framework, there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent HfO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.89–2.24 Å. In the second 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 (2.02 Å) and four longer (2.18 Å) Mg–O bond lengths. In the third Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.08–2.19 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent HfO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.14 Å) and two longer (2.15 Å) Mg–O bond lengths. In the fifth Mg site, Mg is bonded to six O atoms to form distorted MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 7–23°. There are a spread of Mg–O bond distances ranging from 2.07–2.31 Å. In the sixth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 2–7°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 Å. In the seventh 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 3–17°. There are a spread of Mg–O bond distances ranging from 2.10–2.20 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, an edgeedge with one HfO6 octahedra, and edges with eleven MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–8°. There are a spread of Mg–O bond distances ranging from 2.08–2.24 Å. Hf is bonded to six O atoms to form HfO6 octahedra that share corners with six MgO6 octahedra and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (2.08 Å) and two longer (2.10 Å) Hf–O bond lengths. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with four equivalent OMg6 octahedra, corners with five OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedral tilt angles are 6°. In the second O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the third O site, O is bonded to five Mg and one Hf atom to form a mixture of corner and edge-sharing OHfMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra, edges with nine OMg6 octahedra, and edges with three OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 3–11°. In the fifth O site, O is bonded to five Mg atoms to form OMg5 square pyramids that share corners with four OHfMg5 octahedra, corners with five OMg5 square pyramids, and edges with eight OMg6 octahedra. The corner-sharing octahedra tilt angles range from 10–17°. In the sixth O site, O is bonded to five Mg and one Hf atom to form OHfMg5 octahedra that share corners with four OHfMg5 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–7°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra, corners with two equivalent OMg5 square pyramids, edges with ten OMg6 octahedra, and edges with two equivalent OMg5 square pyramids. The corner-sharing octahedra tilt angles range from 0–2°. There are one shorter (2.15 Å) and two longer (2.17 Å) O–Mg bond lengths. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OHfMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. Both O–Mg bond lengths are 2.08 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Nd(Mg4Al3)4 by Materials Project

Nd(Mg4Al3)4 is gamma-brass-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 10-coordinate geometry to five Mg and six Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.06–3.40 Å. There are a spread of Mg–Al bond distances ranging from 3.07–3.13 Å. In the second Mg site, Mg is bonded in a 1-coordinate geometry to seven Mg, one Nd, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.11–3.29 Å. The Mg–Nd bond length is 3.14 Å. There are a spread of Mg–Al bond distances ranging from 2.80–3.20 Å. In the third Mg site, Mg is bonded in a 10-coordinate geometry to three equivalent Mg, one Nd, and twelve Al atoms. The Mg–Nd bond length is 3.36 Å. There are three shorter (3.17 Å) and nine longer (3.24 Å) Mg–Al bond lengths. In the fourth Mg site, Mg is bonded in a 3-coordinate geometry to seven Mg, one Nd, and five Al atoms. There are two shorter (3.17 Å) and two longer (3.18 Å) Mg–Mg bond lengths. The Mg–Nd bond length is 3.59 Å. There are a spread of Mg–Al bond distances ranging from 2.89–3.19 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. Both Mg–Mg bond lengths are 3.09 Å. There are a spread of Mg–Al bond distances ranging from 2.94–3.29 Å. Nd is bonded in a 12-coordinate geometry to seven Mg and nine Al atoms. There are six shorter (3.25 Å) and three longer (3.28 Å) Nd–Al bond lengths. There are three inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to eight Mg, one Nd, and three Al atoms. There are one shorter (2.67 Å) and two longer (2.79 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. Both Al–Al bond lengths are 2.77 Å. In the third Al site, Al is bonded in a 11-coordinate geometry to seven Mg, one Nd, and three Al atoms. There are one shorter (2.73 Å) and one longer (2.83 Å) Al–Al bond lengths.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Y(Mg4Al3)4 by Materials Project

Y(Mg4Al3)4 is gamma-brass-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 10-coordinate geometry to four Mg and six Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.05–3.16 Å. There are a spread of Mg–Al bond distances ranging from 3.07–3.12 Å. In the second Mg site, Mg is bonded in a 3-coordinate geometry to five Mg, one Y, and five Al atoms. There are two shorter (3.16 Å) and two longer (3.18 Å) Mg–Mg bond lengths. The Mg–Y bond length is 3.59 Å. There are a spread of Mg–Al bond distances ranging from 2.87–3.20 Å. In the third Mg site, Mg is bonded in a 9-coordinate geometry to three equivalent Mg, one Y, and twelve Al atoms. The Mg–Y bond length is 3.32 Å. There are a spread of Mg–Al bond distances ranging from 3.19–3.24 Å. In the fourth Mg site, Mg is bonded in a 1-coordinate geometry to four equivalent Mg, one Y, and five Al atoms. There are two shorter (3.12 Å) and two longer (3.14 Å) Mg–Mg bond lengths. The Mg–Y bond length is 3.11 Å. There are a spread of Mg–Al bond distances ranging from 2.82–3.16 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. Both Mg–Mg bond lengths are 3.07 Å. There are a spread of Mg–Al bond distances ranging from 2.94–3.29 Å. Y is bonded in a 12-coordinate geometry to seven Mg and nine Al atoms. There are six shorter (3.22 Å) and three longer (3.25 Å) Y–Al bond lengths. There are three inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to eight Mg, one Y, and three Al atoms. There are one shorter (2.68 Å) and two longer (2.77 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. Both Al–Al bond lengths are 2.77 Å. In the third Al site, Al is bonded in a distorted q6 geometry to seven Mg, one Y, and three Al atoms. There are one shorter (2.71 Å) and one longer (2.80 Å) Al–Al bond lengths.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Th(Mg4Al3)4 by Materials Project

Th(Mg4Al3)4 is gamma-brass-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 10-coordinate geometry to four Mg and six Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.06–3.40 Å. There are two shorter (3.08 Å) and four longer (3.12 Å) Mg–Al bond lengths. In the second Mg site, Mg is bonded in a 3-coordinate geometry to six Mg, one Th, and five Al atoms. There are four shorter (3.18 Å) and two longer (3.31 Å) Mg–Mg bond lengths. The Mg–Th bond length is 3.60 Å. There are a spread of Mg–Al bond distances ranging from 2.88–3.19 Å. In the third Mg site, Mg is bonded in a 1-coordinate geometry to seven Mg, one Th, and five Al atoms. There are two shorter (3.11 Å) and two longer (3.14 Å) Mg–Mg bond lengths. The Mg–Th bond length is 3.16 Å. There are a spread of Mg–Al bond distances ranging from 2.79–3.21 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to three equivalent Mg, one Th, and twelve Al atoms. The Mg–Th bond length is 3.39 Å. There are a spread of Mg–Al bond distances ranging from 3.17–3.25 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. Both Mg–Mg bond lengths are 3.09 Å. There are a spread of Mg–Al bond distances ranging from 2.95–3.31 Å. Th is bonded in a 12-coordinate geometry to seven Mg and nine Al atoms. There are six shorter (3.25 Å) and three longer (3.26 Å) Th–Al bond lengths. There are three inequivalent Al sites. In the first Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. There are one shorter (2.67 Å) and two longer (2.78 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 12-coordinate geometry to eight Mg, one Th, and three Al atoms. Both Al–Al bond lengths are 2.78 Å. In the third Al site, Al is bonded in a 11-coordinate geometry to seven Mg, one Th, and three Al atoms. There are one shorter (2.72 Å) and one longer (2.82 Å) Al–Al bond lengths.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Ho7Mg3Rh2 by Materials Project

Mg3Ho7Rh2 crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are four inequivalent Mg sites. In the first Mg site, Mg is bonded in a 1-coordinate geometry to two Mg, nine Ho, and two Rh atoms. Both Mg–Mg bond lengths are 3.24 Å. There are a spread of Mg–Ho bond distances ranging from 3.48–3.60 Å. There are one shorter (3.49 Å) and one longer (3.52 Å) Mg–Rh bond lengths. In the second Mg site, Mg is bonded to three Mg and nine Ho atoms to form a mixture of face and corner-sharing MgHo9Mg3 cuboctahedra. There are two shorter (3.07 Å) and one longer (3.11 Å) Mg–Mg bond lengths. There are a spread of Mg–Ho bond distances ranging from 3.28–3.50 Å. In the third Mg site, Mg is bonded to four Mg and eight Ho atoms to form a mixture of face and corner-sharing MgHo8Mg4 cuboctahedra. There are one shorter (3.09 Å) and one longer (3.15 Å) Mg–Mg bond lengths. There are a spread of Mg–Ho bond distances ranging from 3.26–3.53 Å. In the fourth Mg site, Mg is bonded to five Mg and seven Ho atoms to form a mixture of face and corner-sharing MgHo7Mg5 cuboctahedra. There are a spread of Mg–Ho bond distances ranging from 3.22–3.50 Å. There are ten inequivalent Ho sites. In the first Ho site, Ho is bonded in a 3-coordinate geometry to three Mg, three Ho, and three Rh atoms. There are one shorter (3.47 Å) and two longer (3.48 Å) Ho–Ho bond lengths. There are two shorter (2.79 Å) and one longer (2.83 Å) Ho–Rh bond lengths. In the second Ho site, Ho is bonded in a 3-coordinate geometry to four Mg, two Ho, and three Rh atoms. There are one shorter (3.50 Å) and one longer (3.51 Å) Ho–Ho bond lengths. There are a spread of Ho–Rh bond distances ranging from 2.78–2.83 Å. In the third Ho site, Ho is bonded in a 3-coordinate geometry to five Mg, one Ho, and three Rh atoms. The Ho–Ho bond length is 3.52 Å. There are one shorter (2.80 Å) and two longer (2.82 Å) Ho–Rh bond lengths. In the fourth Ho site, Ho is bonded in a 4-coordinate geometry to four Mg, eight Ho, and two equivalent Rh atoms. There are four shorter (3.59 Å) and two longer (3.62 Å) Ho–Ho bond lengths. Both Ho–Rh bond lengths are 3.46 Å. In the fifth Ho site, Ho is bonded in a 4-coordinate geometry to three Mg, nine Ho, and two Rh atoms. There are a spread of Ho–Ho bond distances ranging from 3.56–3.63 Å. There are one shorter (3.48 Å) and one longer (3.49 Å) Ho–Rh bond lengths. In the sixth Ho site, Ho is bonded in a 4-coordinate geometry to four Mg, eight Ho, and two Rh atoms. There are two shorter (3.60 Å) and two longer (3.62 Å) Ho–Ho bond lengths. There are one shorter (3.47 Å) and one longer (3.49 Å) Ho–Rh bond lengths. In the seventh Ho site, Ho is bonded in a bent 150 degrees geometry to four Mg, two equivalent Ho, and two Rh atoms. There are one shorter (2.80 Å) and one longer (2.81 Å) Ho–Rh bond lengths. In the eighth Ho site, Ho is bonded in a bent 150 degrees geometry to three Mg, three Ho, and two Rh atoms. Both Ho–Rh bond lengths are 2.77 Å. In the ninth Ho site, Ho is bonded in a bent 150 degrees geometry to four Mg, two equivalent Ho, and two equivalent Rh atoms. Both Ho–Rh bond lengths are 2.80 Å. In the tenth Ho site, Ho is bonded in a bent 150 degrees geometry to three Mg, three Ho, and two Rh atoms. There are one shorter (2.78 Å) and one longer (2.79 Å) Ho–Rh bond lengths. There are three inequivalent Rh sites. In the first Rh site, Rh is bonded in a 6-coordinate geometry to two equivalent Mg and seven Ho atoms. In the second Rh site, Rh is bonded in a 6-coordinate geometry to one Mg and eight Ho atoms. In the third Rh site, Rh is bonded in a 6-coordinate geometry to nine Ho atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Gd(Mg4Al3)4 by Materials Project

Gd(Mg4Al3)4 is gamma-brass-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 11-coordinate geometry to five Mg and six Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.05–3.35 Å. There are a spread of Mg–Al bond distances ranging from 3.05–3.12 Å. In the second Mg site, Mg is bonded in a 9-coordinate geometry to three equivalent Mg, one Gd, and twelve Al atoms. The Mg–Gd bond length is 3.33 Å. There are a spread of Mg–Al bond distances ranging from 3.13–3.23 Å. In the third Mg site, Mg is bonded in a 3-coordinate geometry to seven Mg, one Gd, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.16–3.28 Å. The Mg–Gd bond length is 3.57 Å. There are a spread of Mg–Al bond distances ranging from 2.87–3.24 Å. In the fourth Mg site, Mg is bonded in a 6-coordinate geometry to seven Mg, one Gd, and five Al atoms. There are two shorter (3.11 Å) and two longer (3.15 Å) Mg–Mg bond lengths. The Mg–Gd bond length is 3.10 Å. There are a spread of Mg–Al bond distances ranging from 2.83–3.16 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. Both Mg–Mg bond lengths are 3.04 Å. There are a spread of Mg–Al bond distances ranging from 2.96–3.32 Å. Gd is bonded in a 12-coordinate geometry to seven Mg and nine Al atoms. There are three shorter (3.19 Å) and six longer (3.22 Å) Gd–Al bond lengths. There are three inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to eight Mg, one Gd, and three Al atoms. There are one shorter (2.66 Å) and two longer (2.74 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. Both Al–Al bond lengths are 2.73 Å. In the third Al site, Al is bonded in a 11-coordinate geometry to seven Mg, one Gd, and three Al atoms. There are one shorter (2.72 Å) and one longer (2.76 Å) Al–Al bond lengths.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Lu(Mg4Al3)4 by Materials Project

Lu(Mg4Al3)4 is gamma-brass-derived structured and crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 11-coordinate geometry to five Mg and six Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.06–3.38 Å. There are a spread of Mg–Al bond distances ranging from 3.06–3.13 Å. In the second Mg site, Mg is bonded in a 3-coordinate geometry to seven Mg, one Lu, and five Al atoms. There are a spread of Mg–Mg bond distances ranging from 3.16–3.29 Å. The Mg–Lu bond length is 3.60 Å. There are a spread of Mg–Al bond distances ranging from 2.89–3.23 Å. In the third Mg site, Mg is bonded in a 9-coordinate geometry to three equivalent Mg, one Lu, and twelve Al atoms. The Mg–Lu bond length is 3.30 Å. There are a spread of Mg–Al bond distances ranging from 3.15–3.26 Å. In the fourth Mg site, Mg is bonded in a 1-coordinate geometry to seven Mg, one Lu, and five Al atoms. There are two shorter (3.13 Å) and two longer (3.15 Å) Mg–Mg bond lengths. The Mg–Lu bond length is 3.11 Å. There are a spread of Mg–Al bond distances ranging from 2.82–3.13 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and five Al atoms. Both Mg–Mg bond lengths are 3.04 Å. There are a spread of Mg–Al bond distances ranging from 2.97–3.34 Å. Lu is bonded in a 12-coordinate geometry to seven Mg and nine Al atoms. There are six shorter (3.20 Å) and three longer (3.21 Å) Lu–Al bond lengths. There are three inequivalent Al sites. In the first Al site, Al is bonded in a 12-coordinate geometry to eight Mg, one Lu, and three Al atoms. There are one shorter (2.69 Å) and two longer (2.73 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 11-coordinate geometry to eight Mg and three Al atoms. Both Al–Al bond lengths are 2.76 Å. In the third Al site, Al is bonded in a distorted q6 geometry to seven Mg, one Lu, and three Al atoms. There are one shorter (2.71 Å) and one longer (2.76 Å) Al–Al bond lengths.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CsHfMg6 by Materials Project

CsMg6Hf crystallizes in the monoclinic Pm space group. The structure is three-dimensional. Cs is bonded to twelve Mg atoms to form CsMg12 cuboctahedra that share corners with four equivalent CsMg12 cuboctahedra, corners with eight equivalent HfMg12 cuboctahedra, edges with eight MgCs2Hf2Mg8 cuboctahedra, faces with two equivalent CsMg12 cuboctahedra, faces with four MgCs2Hf2Mg8 cuboctahedra, and faces with four equivalent HfMg12 cuboctahedra. There are a spread of Cs–Mg bond distances ranging from 3.48–3.69 Å. There are six inequivalent Mg sites. In the first Mg site, Mg is bonded to two equivalent Cs, eight Mg, and two equivalent Hf atoms to form distorted MgCs2Hf2Mg8 cuboctahedra that share corners with twelve MgCs2Hf2Mg8 cuboctahedra, edges with four equivalent CsMg12 cuboctahedra, edges with four equivalent HfMg12 cuboctahedra, faces with two equivalent CsMg12 cuboctahedra, faces with two equivalent HfMg12 cuboctahedra, and faces with six MgCs2Hf2Mg8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.36–3.42 Å. There are one shorter (3.45 Å) and one longer (3.51 Å) Mg–Hf bond lengths. In the second Mg site, Mg is bonded to two equivalent Cs, eight Mg, and two equivalent Hf atoms to form distorted MgCs2Hf2Mg8 cuboctahedra that share corners with twelve MgCs2Hf2Mg8 cuboctahedra, edges with four equivalent CsMg12 cuboctahedra, edges with four equivalent HfMg12 cuboctahedra, faces with two equivalent CsMg12 cuboctahedra, faces with two equivalent HfMg12 cuboctahedra, and faces with six MgCs2Hf2Mg8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.37–3.42 Å. There are one shorter (3.45 Å) and one longer (3.51 Å) Mg–Hf bond lengths. In the third Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent Cs, six Mg, and two equivalent Hf atoms. There are one shorter (2.93 Å) and one longer (2.97 Å) Mg–Mg bond lengths. Both Mg–Hf bond lengths are 3.12 Å. In the fourth Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent Cs, six Mg, and two equivalent Hf atoms. There are one shorter (2.94 Å) and one longer (2.96 Å) Mg–Mg bond lengths. Both Mg–Hf bond lengths are 3.11 Å. In the fifth Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent Cs, six Mg, and two equivalent Hf atoms. Both Mg–Hf bond lengths are 3.11 Å. In the sixth Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent Cs, six Mg, and two equivalent Hf atoms. Both Mg–Hf bond lengths are 3.12 Å. Hf is bonded to twelve Mg atoms to form HfMg12 cuboctahedra that share corners with four equivalent HfMg12 cuboctahedra, corners with eight equivalent CsMg12 cuboctahedra, edges with eight MgCs2Hf2Mg8 cuboctahedra, faces with two equivalent HfMg12 cuboctahedra, faces with four equivalent CsMg12 cuboctahedra, and faces with four MgCs2Hf2Mg8 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg7GaAg12 by Materials Project

Mg7Ag12Ga crystallizes in the trigonal R3m space group. The structure is three-dimensional. there are seven inequivalent Mg sites. In the first Mg site, Mg is bonded in a body-centered cubic geometry to eight Ag atoms. All Mg–Ag bond lengths are 2.87 Å. In the second Mg site, Mg is bonded in a distorted body-centered cubic geometry to fourteen Ag atoms. There are a spread of Mg–Ag bond distances ranging from 2.87–3.31 Å. In the third Mg site, Mg is bonded in a distorted body-centered cubic geometry to eleven Ag atoms. There are a spread of Mg–Ag bond distances ranging from 2.86–3.31 Å. In the fourth Mg site, Mg is bonded in a body-centered cubic geometry to eight Ag atoms. All Mg–Ag bond lengths are 2.87 Å. In the fifth Mg site, Mg is bonded in a distorted body-centered cubic geometry to eleven Ag atoms. There are a spread of Mg–Ag bond distances ranging from 2.86–3.30 Å. In the sixth Mg site, Mg is bonded in a body-centered cubic geometry to eight Ag atoms. There are one shorter (2.86 Å) and seven longer (2.87 Å) Mg–Ag bond lengths. In the seventh Mg site, Mg is bonded in a body-centered cubic geometry to eight Ag atoms. There are seven shorter (2.87 Å) and one longer (2.88 Å) Mg–Ag bond lengths. There are thirteen inequivalent Ag sites. In the first Ag site, Ag is bonded in a body-centered cubic geometry to eight Mg atoms. In the second Ag site, Ag is bonded to four Mg and four Ag atoms to form a mixture of distorted edge, corner, and face-sharing AgMg4Ag4 tetrahedra. All Ag–Ag bond lengths are 2.87 Å. In the third Ag site, Ag is bonded in a 8-coordinate geometry to seven Mg and one Ag atom. The Ag–Ag bond length is 2.87 Å. In the fourth Ag site, Ag is bonded in a body-centered cubic geometry to five Mg and three equivalent Ga atoms. All Ag–Ga bond lengths are 2.87 Å. In the fifth Ag site, Ag is bonded in a 8-coordinate geometry to four Mg, three equivalent Ag, and one Ga atom. All Ag–Ag bond lengths are 2.87 Å. The Ag–Ga bond length is 2.86 Å. In the sixth Ag site, Ag is bonded in a body-centered cubic geometry to seven Mg and one Ga atom. The Ag–Ga bond length is 2.87 Å. In the seventh Ag site, Ag is bonded in a 8-coordinate geometry to five Mg and three equivalent Ag atoms. All Ag–Ag bond lengths are 2.87 Å. In the eighth Ag site, Ag is bonded in a body-centered cubic geometry to eight Mg atoms. In the ninth Ag site, Ag is bonded in a 8-coordinate geometry to four Mg, one Ag, and three equivalent Ga atoms. The Ag–Ag bond length is 2.88 Å. All Ag–Ga bond lengths are 2.87 Å. In the tenth Ag site, Ag is bonded to four Mg and four Ag atoms to form a mixture of distorted edge, corner, and face-sharing AgMg4Ag4 tetrahedra. All Ag–Ag bond lengths are 2.87 Å. In the eleventh Ag site, Ag is bonded in a 8-coordinate geometry to six Mg and eight Ag atoms. In the twelfth Ag site, Ag is bonded in a 8-coordinate geometry to six Mg and eight Ag atoms. In the thirteenth Ag site, Ag is bonded in a 8-coordinate geometry to six Mg and eight Ag atoms. There are three shorter (3.30 Å) and three longer (3.31 Å) Ag–Mg bond lengths. There are seven shorter (2.87 Å) and one longer (2.88 Å) Ag–Ag bond lengths. Ga is bonded in a distorted body-centered cubic geometry to eight Ag atoms.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on YMg14SnO16 by Materials Project

Mg14YSnO16 is Caswellsilverite-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.11–2.23 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SnO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.99–2.27 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent YO6 octahedra, edges with two equivalent SnO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.19–2.28 Å. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.22–2.25 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent YO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.08–2.33 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent SnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.10–2.31 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent SnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are a spread of Mg–O bond distances ranging from 2.10–2.31 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one YO6 octahedra, an edgeedge with one SnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.10–2.32 Å. Y is bonded to six O atoms to form YO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent YO6 octahedra, corners with two equivalent SnO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Y–O bond distances ranging from 2.16–2.30 Å. Sn is bonded to six O atoms to form SnO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent YO6 octahedra, corners with two equivalent SnO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Sn–O bond distances ranging from 2.23–2.42 Å. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Y atom to form OYMg5 octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O site, O is bonded to five Mg and one Sn atom to form OMg5Sn octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the third O site, O is bonded to five Mg and one Sn atom to form OMg5Sn octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. Both O–Mg bond lengths are 2.20 Å. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the fifth O site, O is bonded to four Mg and two equivalent Y atoms to form OY2Mg4 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to four Mg and two equivalent Sn atoms to form OMg4Sn2 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OMg5Sn octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4Sn2 octahedra and edges with twelve OMg5Sn octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O site, O is bonded to four Mg, one Y, and one Sn atom to form OYMg4Sn octahedra that share corners with six OYMg4Sn octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OYMg4Sn octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–5°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg14MnAlO16 by Materials Project

Mg14MnAlO16 is alpha Po-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are seven inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent 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 2.06–2.32 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mg–O bond distances ranging from 2.14–2.16 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are three shorter (2.14 Å) and three longer (2.15 Å) Mg–O bond lengths. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are three shorter (2.14 Å) and three 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, edges with two equivalent MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are three shorter (2.14 Å) and three longer (2.15 Å) Mg–O bond lengths. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. 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 equivalent 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 0–10°. There are a spread of Mg–O bond distances ranging from 2.14–2.16 Å. Mn is bonded to six O atoms to form MnO6 octahedra that share corners with two equivalent MnO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.15 Å) and four longer (2.24 Å) Mn–O bond lengths. Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.98 Å) and two longer (2.15 Å) Al–O bond lengths. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Al atom to form OMg5Al octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are two shorter (2.16 Å) and one longer (2.32 Å) O–Mg bond lengths. In the second 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 0–7°. In the third 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 0–7°. Both O–Mg bond lengths are 2.14 Å. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth O site, O is bonded to four equivalent Mg and two equivalent Al atoms to form OMg4Al2 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O site, O is bonded to four Mg and two equivalent Mn atoms to form OMg4Mn2 octahedra that share corners with six OMg6 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to five Mg and one Al atom to form a mixture of corner and edge-sharing OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–9°. In the ninth O site, O is bonded to five Mg and one Mn atom to form a mixture of corner and edge-sharing OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–7°. The O–Mg bond length is 2.06 Å. In the tenth O site, O is bonded to five Mg and one Mn atom to form a mixture of corner and edge-sharing OMg5Mn octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are one shorter (2.06 Å) and two longer (2.14 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg14AlVO16 by Materials Project

Mg14VAlO16 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent 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 2.13–2.21 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent VO6 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 2.06–2.21 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent VO6 octahedra, edges with two equivalent AlO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–18°. There are a spread of Mg–O bond distances ranging from 2.12–2.18 Å. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.13–2.18 Å. In the fifth Mg site, Mg is bonded to six O atoms to form a mixture of edge and corner-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.13–2.18 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. There are a spread of Mg–O bond distances ranging from 2.12–2.17 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent VO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. There are a spread of Mg–O bond distances ranging from 2.12–2.18 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one VO6 octahedra, an edgeedge with one AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–19°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 Å. V is bonded to six O atoms to form VO6 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 V–O bond distances ranging from 2.13–2.51 Å. Al is bonded to six O atoms to form AlO6 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 Al–O bond distances ranging from 1.84–2.13 Å. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Al atom to form OMg5Al octahedra that share corners with six OMg5Al octahedra and edges with ten OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the second 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 ten OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–4°. In the third O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with ten OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fourth O site, O is bonded to four Mg and two equivalent Al atoms to form OMg4Al2 octahedra that share corners with six OMg4Al2 octahedra and edges with eight OMg5Al octahedra. The corner-sharing octahedral tilt angles are 0°. In the fifth O site, O is bonded to four Mg and two equivalent V atoms to form OMg4V2 octahedra that share corners with six OMg4Al2 octahedra and edges with eight OMg5V octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4V2 octahedra and edges with twelve OMg5V octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded in a 6-coordinate geometry to four Mg, one V, and one Al atom. In the ninth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with four OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–2°. Both O–Mg bond lengths are 2.13 Å.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on CsLaMg6 by Materials Project

CsMg6La crystallizes in the monoclinic Pm space group. The structure is three-dimensional. Cs is bonded in a 8-coordinate geometry to eight Mg and two equivalent La atoms. There are a spread of Cs–Mg bond distances ranging from 3.59–3.76 Å. There are one shorter (4.14 Å) and one longer (4.15 Å) Cs–La bond lengths. There are six inequivalent Mg sites. In the first Mg site, Mg is bonded in a 1-coordinate geometry to one Cs, seven Mg, and one La atom. There are a spread of Mg–Mg bond distances ranging from 3.03–3.49 Å. The Mg–La bond length is 3.57 Å. In the second Mg site, Mg is bonded in a 1-coordinate geometry to one Cs, seven Mg, and one La atom. There are a spread of Mg–Mg bond distances ranging from 3.06–3.46 Å. The Mg–La bond length is 3.56 Å. In the third Mg site, Mg is bonded in a 8-coordinate geometry to two equivalent Cs, four Mg, and two equivalent La atoms. There are one shorter (2.86 Å) and one longer (3.12 Å) Mg–Mg bond lengths. Both Mg–La bond lengths are 3.56 Å. In the fourth Mg site, Mg is bonded in a 9-coordinate geometry to two equivalent Cs, four Mg, and two equivalent La atoms. The Mg–Mg bond length is 2.87 Å. Both Mg–La bond lengths are 3.55 Å. In the fifth Mg site, Mg is bonded in a 2-coordinate geometry to four Mg and two equivalent La atoms. Both Mg–La bond lengths are 3.63 Å. In the sixth Mg site, Mg is bonded in a 10-coordinate geometry to two equivalent Cs, six Mg, and two equivalent La atoms. Both Mg–La bond lengths are 3.55 Å. La is bonded to two equivalent Cs and ten Mg atoms to form a mixture of distorted corner and face-sharing LaCs2Mg10 cuboctahedra.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg14AlCdO16 by Materials Project

Mg14CdAlO16 is Caswellsilverite-derived structured and crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. there are seven inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent CdO6 octahedra, corners with two equivalent AlO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 1.96–2.37 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are a spread of Mg–O bond distances ranging from 2.15–2.17 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent CdO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 Å. In the fourth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent CdO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent CdO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent CdO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–9°. There are a spread of Mg–O bond distances ranging from 2.13–2.19 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one CdO6 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 two shorter (2.16 Å) and four longer (2.17 Å) Mg–O bond lengths. Cd is bonded to six O atoms to form CdO6 octahedra that share corners with two equivalent CdO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are two shorter (2.16 Å) and four longer (2.36 Å) Cd–O bond lengths. Al is bonded to six O atoms to form AlO6 octahedra that share corners with two equivalent AlO6 octahedra, corners with four equivalent MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are four shorter (1.95 Å) and two longer (2.16 Å) Al–O bond lengths. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Al atom to form OMg5Al octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are two shorter (2.17 Å) and one longer (2.37 Å) O–Mg bond lengths. In the second O site, O is bonded to five Mg and one Cd atom to form OMg5Cd octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the third O site, O is bonded to five Mg and one Cd atom to form OMg5Cd octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–11°. Both O–Mg bond lengths are 2.17 Å. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedral tilt angles are 1°. In the fifth O site, O is bonded to four equivalent Mg and two equivalent Al atoms to form OMg4Al2 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Cd octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O site, O is bonded to four Mg and two equivalent Cd atoms to form OMg4Cd2 octahedra that share corners with six OMg6 octahedra and edges with twelve OMg5Cd octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to five Mg and one Al atom to form a mixture of corner and edge-sharing OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–11°. In the ninth O site, O is bonded to five Mg and one Cd atom to form a mixture of corner and edge-sharing OMg5Cd octahedra. The corner-sharing octahedra tilt angles range from 0–11°. The O–Mg bond length is 1.96 Å. In the tenth O site, O is bonded to five Mg and one Cd atom to form a mixture of corner and edge-sharing OMg5Cd octahedra. The corner-sharing octahedra tilt angles range from 0–11°. There are one shorter (1.96 Å) and two longer (2.17 Å) O–Mg bond lengths.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on Mg14MnAlO16 by Materials Project

Mg14MnAlO16 is Molybdenum Carbide MAX Phase-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent 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 MnO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.07–2.19 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent MnO6 octahedra, edges with two equivalent AlO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–15°. 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 a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.14–2.16 Å. In the fifth 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 0–3°. There are a spread of Mg–O bond distances ranging from 2.14–2.16 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent AlO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. There are four shorter (2.14 Å) and two 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, edges with two equivalent MnO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–3°. There are a spread of Mg–O bond distances ranging from 2.13–2.15 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six equivalent 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 1–15°. There are a spread of Mg–O bond distances ranging from 2.13–2.17 Å. Mn is bonded to six O atoms to form MnO6 octahedra that share corners with two equivalent MgO6 octahedra, corners with two equivalent MnO6 octahedra, corners with two equivalent AlO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mn–O bond distances ranging from 2.14–2.41 Å. Al is bonded to six O atoms to form AlO6 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 Al–O bond distances ranging from 1.88–2.14 Å. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Al atom to form OMg5Al octahedra that share corners with six OMg5Al octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–7°. In the second O site, O is bonded to 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 0–3°. In the third 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 0–3°. All O–Mg bond lengths are 2.14 Å. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–1°. In the fifth O site, O is bonded to four Mg and two equivalent Al atoms to form OMg4Al2 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to four Mg and two equivalent Mn atoms to form OMg4Mn2 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4Al2 octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4Mn2 octahedra and edges with twelve OMg5Mn octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O site, O is bonded to four Mg, one Mn, and one Al atom to form distorted OMg4MnAl octahedra that share corners with six OMg4MnAl octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–15°. In the tenth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OMg4MnAl octahedra and edges with twelve OMg5Al octahedra. The corner-sharing octahedra tilt angles range from 0–9°.

36 MATERIALS SCIENCE↗
DOE OSTI2020

Materials Data on SrYMg14O16 by Materials Project

SrMg14YO16 is alpha Po-derived structured and crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. Sr is bonded to six O atoms to form SrO6 octahedra that share corners with two equivalent SrO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent YO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Sr–O bond distances ranging from 2.24–2.40 Å. There are eight inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent YO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.10–2.24 Å. In the second Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with two equivalent SrO6 octahedra, corners with four MgO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Mg–O bond distances ranging from 2.00–2.27 Å. In the third Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent SrO6 octahedra, edges with two equivalent YO6 octahedra, and edges with eight MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.20–2.27 Å. In the fourth Mg site, Mg is bonded to six O atoms to form a mixture of corner and edge-sharing MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. There are a spread of Mg–O bond distances ranging from 2.20–2.25 Å. In the fifth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent YO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.08–2.32 Å. In the sixth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent SrO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.09–2.31 Å. In the seventh Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six MgO6 octahedra, edges with two equivalent SrO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. There are a spread of Mg–O bond distances ranging from 2.09–2.31 Å. In the eighth Mg site, Mg is bonded to six O atoms to form MgO6 octahedra that share corners with six equivalent MgO6 octahedra, an edgeedge with one SrO6 octahedra, an edgeedge with one YO6 octahedra, and edges with ten MgO6 octahedra. The corner-sharing octahedra tilt angles range from 1–6°. There are a spread of Mg–O bond distances ranging from 2.08–2.32 Å. Y is bonded to six O atoms to form YO6 octahedra that share corners with two equivalent SrO6 octahedra, corners with two equivalent MgO6 octahedra, corners with two equivalent YO6 octahedra, and edges with twelve MgO6 octahedra. The corner-sharing octahedral tilt angles are 0°. There are a spread of Y–O bond distances ranging from 2.16–2.30 Å. There are ten inequivalent O sites. In the first O site, O is bonded to five Mg and one Y atom to form OYMg5 octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–2°. In the second O site, O is bonded to one Sr and five Mg atoms to form OSrMg5 octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. In the third O site, O is bonded to one Sr and five Mg atoms to form OSrMg5 octahedra that share corners with six OYMg5 octahedra and edges with twelve OMg6 octahedra. The corner-sharing octahedra tilt angles range from 0–5°. Both O–Mg bond lengths are 2.21 Å. In the fourth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six equivalent OMg6 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–6°. In the fifth O site, O is bonded to four Mg and two equivalent Y atoms to form OY2Mg4 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the sixth O site, O is bonded to two equivalent Sr and four Mg atoms to form OSr2Mg4 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OSrMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the seventh O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OY2Mg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the eighth O site, O is bonded to six Mg atoms to form OMg6 octahedra that share corners with six OSr2Mg4 octahedra and edges with twelve OSrMg5 octahedra. The corner-sharing octahedral tilt angles are 0°. In the ninth O site, O is bonded to one Sr, four Mg, and one Y atom to form OSrYMg4 octahedra that share corners with six OSrYMg4 octahedra and edges with twelve OYMg5 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 OSrYMg4 octahedra and edges with twelve OYMg5 octahedra. The corner-sharing octahedra tilt angles range from 0–4°.

36 MATERIALS SCIENCE↗