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Materials Data on Mg5Ga by Materials Project

Mg5Ga crystallizes in the trigonal R32 space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Ga atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with eighteen MgMg10Ga2 cuboctahedra, edges with four equivalent GaMg12 cuboctahedra, edges with fourteen MgMg10Ga2 cuboctahedra, faces with four equivalent GaMg12 cuboctahedra, and faces with sixteen MgMg9Ga3 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.08–3.17 Å. Both Mg–Ga bond lengths are 3.15 Å. In the second Mg site, Mg is bonded to nine Mg and three equivalent Ga atoms to form distorted MgMg9Ga3 cuboctahedra that share corners with six equivalent GaMg12 cuboctahedra, corners with twelve equivalent MgMg9Ga3 cuboctahedra, edges with eighteen MgMg10Ga2 cuboctahedra, faces with four equivalent GaMg12 cuboctahedra, and faces with sixteen MgMg10Ga2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.09–3.17 Å. All Mg–Ga bond lengths are 3.09 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Ga atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with eighteen MgMg10Ga2 cuboctahedra, edges with four equivalent GaMg12 cuboctahedra, edges with fourteen MgMg9Ga3 cuboctahedra, faces with four equivalent GaMg12 cuboctahedra, and faces with sixteen MgMg10Ga2 cuboctahedra. There are two shorter (3.08 Å) and one longer (3.12 Å) Mg–Mg bond lengths. Both Mg–Ga bond lengths are 3.15 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent Ga atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with eighteen MgMg10Ga2 cuboctahedra, edges with four equivalent GaMg12 cuboctahedra, edges with fourteen MgMg9Ga3 cuboctahedra, faces with four equivalent GaMg12 cuboctahedra, and faces with sixteen MgMg10Ga2 cuboctahedra. There are four shorter (3.08 Å) and two longer (3.12 Å) Mg–Mg bond lengths. Both Mg–Ga bond lengths are 3.15 Å. In the fifth Mg site, Mg is bonded to ten Mg and two equivalent Ga atoms to form distorted MgMg10Ga2 cuboctahedra that share corners with eighteen MgMg10Ga2 cuboctahedra, edges with four equivalent GaMg12 cuboctahedra, edges with fourteen MgMg9Ga3 cuboctahedra, faces with four equivalent GaMg12 cuboctahedra, and faces with sixteen MgMg10Ga2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.08–3.17 Å. Both Mg–Ga bond lengths are 3.15 Å. Ga is bonded to twelve Mg atoms to form GaMg12 cuboctahedra that share corners with six equivalent GaMg12 cuboctahedra, corners with twelve equivalent MgMg9Ga3 cuboctahedra, edges with six equivalent GaMg12 cuboctahedra, edges with twelve MgMg10Ga2 cuboctahedra, and faces with twenty MgMg10Ga2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on CeMg5 by Materials Project

Mg5Ce crystallizes in the monoclinic Cm 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 nine Mg and two equivalent Ce atoms. There are a spread of Mg–Mg bond distances ranging from 3.14–3.29 Å. Both Mg–Ce bond lengths are 3.33 Å. In the second Mg site, Mg is bonded to nine Mg and three equivalent Ce atoms to form MgCe3Mg9 cuboctahedra that share corners with twelve MgCe3Mg9 cuboctahedra, edges with two equivalent CeCe2Mg10 cuboctahedra, edges with nine MgCe2Mg10 cuboctahedra, faces with five equivalent CeCe2Mg10 cuboctahedra, and faces with eight MgCe3Mg9 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.34 Å. There are two shorter (3.43 Å) and one longer (3.45 Å) Mg–Ce bond lengths. In the third Mg site, Mg is bonded to ten Mg and two equivalent Ce atoms to form distorted MgCe2Mg10 cuboctahedra that share corners with six equivalent MgCe2Mg10 cuboctahedra, corners with six equivalent CeCe2Mg10 cuboctahedra, edges with three equivalent CeCe2Mg10 cuboctahedra, edges with eight MgCe3Mg9 cuboctahedra, faces with three equivalent CeCe2Mg10 cuboctahedra, and faces with ten MgCe3Mg9 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.44 Å. Both Mg–Ce bond lengths are 3.40 Å. In the fourth Mg site, Mg is bonded to eleven Mg and one Ce atom to form distorted MgCeMg11 cuboctahedra that share corners with twelve MgCe3Mg9 cuboctahedra, edges with four equivalent CeCe2Mg10 cuboctahedra, edges with five MgCe3Mg9 cuboctahedra, faces with four equivalent CeCe2Mg10 cuboctahedra, and faces with ten MgCe3Mg9 cuboctahedra. There are two shorter (3.14 Å) and two longer (3.23 Å) Mg–Mg bond lengths. The Mg–Ce bond length is 3.31 Å. In the fifth Mg site, Mg is bonded in a 11-coordinate geometry to nine Mg and two equivalent Ce atoms. Both Mg–Mg bond lengths are 3.14 Å. Both Mg–Ce bond lengths are 3.35 Å. Ce is bonded to ten Mg and two equivalent Ce atoms to form CeCe2Mg10 cuboctahedra that share corners with six equivalent MgCe2Mg10 cuboctahedra, corners with six equivalent CeCe2Mg10 cuboctahedra, edges with nine MgCe3Mg9 cuboctahedra, faces with two equivalent CeCe2Mg10 cuboctahedra, and faces with twelve MgCe3Mg9 cuboctahedra. Both Ce–Ce bond lengths are 3.14 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg16Al12O by Materials Project

Mg16Al12O 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 single-bond geometry to two equivalent Mg, five Al, and one O atom. Both Mg–Mg bond lengths are 3.04 Å. There are a spread of Mg–Al bond distances ranging from 2.99–3.37 Å. The Mg–O bond length is 2.03 Å. In the second Mg site, Mg is bonded in a 9-coordinate geometry to three Mg and six Al atoms. There are one shorter (3.01 Å) and two longer (3.13 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 2.93–3.18 Å. In the third 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 (3.14 Å) Mg–Mg bond lengths. There are a spread of Mg–Al bond distances ranging from 2.99–3.18 Å. In the fourth Mg site, Mg is bonded in a single-bond geometry to six equivalent Al and one O atom. All Mg–Al bond lengths are 2.85 Å. The Mg–O bond length is 1.99 Å. In the fifth Mg site, Mg is bonded in a 11-coordinate geometry to three Mg and five Al atoms. There are a spread of Mg–Al bond distances ranging from 2.85–3.01 Å. There are three inequivalent Al sites. In the first Al site, Al is bonded in a 10-coordinate geometry to seven Mg and three Al atoms. There are one shorter (2.72 Å) and two longer (2.79 Å) Al–Al bond lengths. In the second Al site, Al is bonded in a 10-coordinate geometry to seven Mg and three Al atoms. Both Al–Al bond lengths are 2.83 Å. In the third Al site, Al is bonded in a 10-coordinate geometry to seven Mg and three Al atoms. There are one shorter (2.80 Å) and one longer (2.87 Å) Al–Al bond lengths. O is bonded in a tetrahedral geometry to four Mg atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Ti by Materials Project

Mg5Ti crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Ti atoms to form distorted MgMg10Ti2 cuboctahedra that share corners with eighteen MgMg10Ti2 cuboctahedra, edges with six equivalent TiMg10Ti2 cuboctahedra, edges with twelve MgMg9Ti3 cuboctahedra, faces with three equivalent TiMg10Ti2 cuboctahedra, and faces with seventeen MgMg10Ti2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.09–3.22 Å. Both Mg–Ti bond lengths are 3.07 Å. In the second Mg site, Mg is bonded to nine Mg and three equivalent Ti atoms to form MgMg9Ti3 cuboctahedra that share corners with eighteen MgMg10Ti2 cuboctahedra, edges with two equivalent TiMg10Ti2 cuboctahedra, edges with sixteen MgMg10Ti2 cuboctahedra, faces with five equivalent TiMg10Ti2 cuboctahedra, and faces with fifteen MgMg10Ti2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.08–3.13 Å. There are two shorter (3.12 Å) and one longer (3.15 Å) Mg–Ti bond lengths. In the third Mg site, Mg is bonded to ten Mg and two equivalent Ti atoms to form MgMg10Ti2 cuboctahedra that share corners with six equivalent TiMg10Ti2 cuboctahedra, corners with twelve MgMg10Ti2 cuboctahedra, edges with three equivalent TiMg10Ti2 cuboctahedra, edges with fifteen MgMg10Ti2 cuboctahedra, faces with three equivalent TiMg10Ti2 cuboctahedra, and faces with seventeen MgMg10Ti2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.09–3.22 Å. Both Mg–Ti bond lengths are 3.11 Å. In the fourth Mg site, Mg is bonded to eleven Mg and one Ti atom to form distorted MgMg11Ti cuboctahedra that share corners with eighteen MgMg10Ti2 cuboctahedra, edges with four equivalent TiMg10Ti2 cuboctahedra, edges with fourteen MgMg10Ti2 cuboctahedra, faces with four equivalent TiMg10Ti2 cuboctahedra, and faces with sixteen MgMg10Ti2 cuboctahedra. There are two shorter (3.10 Å) and two longer (3.18 Å) Mg–Mg bond lengths. The Mg–Ti bond length is 3.07 Å. In the fifth Mg site, Mg is bonded to ten Mg and two equivalent Ti atoms to form MgMg10Ti2 cuboctahedra that share corners with six equivalent TiMg10Ti2 cuboctahedra, corners with twelve MgMg10Ti2 cuboctahedra, edges with three equivalent TiMg10Ti2 cuboctahedra, edges with fifteen MgMg10Ti2 cuboctahedra, faces with three equivalent TiMg10Ti2 cuboctahedra, and faces with seventeen MgMg10Ti2 cuboctahedra. Both Mg–Mg bond lengths are 3.10 Å. Both Mg–Ti bond lengths are 3.11 Å. Ti is bonded to ten Mg and two equivalent Ti atoms to form TiMg10Ti2 cuboctahedra that share corners with six equivalent TiMg10Ti2 cuboctahedra, corners with twelve MgMg10Ti2 cuboctahedra, edges with eighteen MgMg10Ti2 cuboctahedra, faces with two equivalent TiMg10Ti2 cuboctahedra, and faces with eighteen MgMg10Ti2 cuboctahedra. Both Ti–Ti bond lengths are 3.10 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg5In by Materials Project

Mg5In crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent In atoms to form distorted MgMg10In2 cuboctahedra that share corners with eighteen MgMg10In2 cuboctahedra, edges with six equivalent InMg10In2 cuboctahedra, edges with twelve MgMg10In2 cuboctahedra, faces with three equivalent InMg10In2 cuboctahedra, and faces with seventeen MgMg10In2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.23 Å. Both Mg–In bond lengths are 3.20 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent In atoms to form distorted MgMg10In2 cuboctahedra that share corners with six equivalent InMg10In2 cuboctahedra, corners with twelve MgMg10In2 cuboctahedra, edges with three equivalent InMg10In2 cuboctahedra, edges with fifteen MgMg10In2 cuboctahedra, faces with three equivalent InMg10In2 cuboctahedra, and faces with seventeen MgMg10In2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.17–3.23 Å. Both Mg–In bond lengths are 3.21 Å. In the third Mg site, Mg is bonded to eleven Mg and one In atom to form distorted MgMg11In cuboctahedra that share corners with eighteen MgMg10In2 cuboctahedra, edges with four equivalent InMg10In2 cuboctahedra, edges with fourteen MgMg10In2 cuboctahedra, faces with four equivalent InMg10In2 cuboctahedra, and faces with sixteen MgMg10In2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.23 Å. The Mg–In bond length is 3.18 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent In atoms to form distorted MgMg10In2 cuboctahedra that share corners with six equivalent InMg10In2 cuboctahedra, corners with twelve MgMg10In2 cuboctahedra, edges with three equivalent InMg10In2 cuboctahedra, edges with fifteen MgMg10In2 cuboctahedra, faces with three equivalent InMg10In2 cuboctahedra, and faces with seventeen MgMg10In2 cuboctahedra. There are two shorter (3.18 Å) and two longer (3.23 Å) Mg–Mg bond lengths. Both Mg–In bond lengths are 3.19 Å. In the fifth Mg site, Mg is bonded to nine Mg and three equivalent In atoms to form distorted MgMg9In3 cuboctahedra that share corners with eighteen MgMg10In2 cuboctahedra, edges with two equivalent InMg10In2 cuboctahedra, edges with sixteen MgMg10In2 cuboctahedra, faces with five equivalent InMg10In2 cuboctahedra, and faces with fifteen MgMg10In2 cuboctahedra. Both Mg–Mg bond lengths are 3.23 Å. All Mg–In bond lengths are 3.21 Å. In is bonded to ten Mg and two equivalent In atoms to form distorted InMg10In2 cuboctahedra that share corners with six equivalent InMg10In2 cuboctahedra, corners with twelve MgMg10In2 cuboctahedra, edges with eighteen MgMg10In2 cuboctahedra, faces with two equivalent InMg10In2 cuboctahedra, and faces with eighteen MgMg10In2 cuboctahedra. Both In–In bond lengths are 3.23 Å.

36 MATERIALS SCIENCE↗

Materials Data on ErMg5 by Materials Project

Mg5Er crystallizes in the monoclinic Cm 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 nine Mg and two equivalent Er atoms. There are a spread of Mg–Mg bond distances ranging from 3.15–3.25 Å. Both Mg–Er bond lengths are 3.27 Å. In the second Mg site, Mg is bonded in a 11-coordinate geometry to nine Mg and two equivalent Er atoms. There are a spread of Mg–Mg bond distances ranging from 3.15–3.28 Å. Both Mg–Er bond lengths are 3.25 Å. In the third Mg site, Mg is bonded to eleven Mg and one Er atom to form distorted MgErMg11 cuboctahedra that share corners with twelve MgErMg11 cuboctahedra, edges with four equivalent ErEr2Mg10 cuboctahedra, edges with five MgEr2Mg10 cuboctahedra, faces with four equivalent ErEr2Mg10 cuboctahedra, and faces with ten MgErMg11 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.25–3.41 Å. The Mg–Er bond length is 3.31 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent Er atoms to form MgEr2Mg10 cuboctahedra that share corners with six equivalent MgEr2Mg10 cuboctahedra, corners with six equivalent ErEr2Mg10 cuboctahedra, edges with three equivalent ErEr2Mg10 cuboctahedra, edges with eight MgErMg11 cuboctahedra, faces with three equivalent ErEr2Mg10 cuboctahedra, and faces with ten MgErMg11 cuboctahedra. There are two shorter (3.18 Å) and two longer (3.25 Å) Mg–Mg bond lengths. Both Mg–Er bond lengths are 3.33 Å. In the fifth Mg site, Mg is bonded to nine Mg and three equivalent Er atoms to form MgEr3Mg9 cuboctahedra that share corners with twelve MgErMg11 cuboctahedra, edges with two equivalent ErEr2Mg10 cuboctahedra, edges with nine MgErMg11 cuboctahedra, faces with five equivalent ErEr2Mg10 cuboctahedra, and faces with eight MgErMg11 cuboctahedra. Both Mg–Mg bond lengths are 3.25 Å. There are two shorter (3.35 Å) and one longer (3.40 Å) Mg–Er bond lengths. Er is bonded to ten Mg and two equivalent Er atoms to form ErEr2Mg10 cuboctahedra that share corners with six equivalent MgEr2Mg10 cuboctahedra, corners with six equivalent ErEr2Mg10 cuboctahedra, edges with nine MgErMg11 cuboctahedra, faces with two equivalent ErEr2Mg10 cuboctahedra, and faces with twelve MgErMg11 cuboctahedra. Both Er–Er bond lengths are 3.25 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Sc by Materials Project

Mg5Sc is Magnesium-derived structured and crystallizes in the trigonal R32 space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with eighteen MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with fourteen MgMg10Sc2 cuboctahedra, faces with four equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg10Sc2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.15–3.25 Å. Both Mg–Sc bond lengths are 3.23 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with eighteen MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with fourteen MgMg10Sc2 cuboctahedra, faces with four equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg10Sc2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.15–3.25 Å. Both Mg–Sc bond lengths are 3.23 Å. In the third Mg site, Mg is bonded to nine Mg and three equivalent Sc atoms to form MgMg9Sc3 cuboctahedra that share corners with six equivalent ScMg12 cuboctahedra, corners with twelve equivalent MgMg9Sc3 cuboctahedra, edges with eighteen MgMg10Sc2 cuboctahedra, faces with four equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg10Sc2 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. All Mg–Sc bond lengths are 3.18 Å. In the fourth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with eighteen MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with fourteen MgMg9Sc3 cuboctahedra, faces with four equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg10Sc2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.15–3.25 Å. Both Mg–Sc bond lengths are 3.23 Å. In the fifth Mg site, Mg is bonded to ten Mg and two equivalent Sc atoms to form MgMg10Sc2 cuboctahedra that share corners with eighteen MgMg10Sc2 cuboctahedra, edges with four equivalent ScMg12 cuboctahedra, edges with fourteen MgMg9Sc3 cuboctahedra, faces with four equivalent ScMg12 cuboctahedra, and faces with sixteen MgMg10Sc2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.15–3.25 Å. Both Mg–Sc bond lengths are 3.23 Å. Sc is bonded to twelve Mg atoms to form ScMg12 cuboctahedra that share corners with six equivalent ScMg12 cuboctahedra, corners with twelve equivalent MgMg9Sc3 cuboctahedra, edges with six equivalent ScMg12 cuboctahedra, edges with twelve MgMg10Sc2 cuboctahedra, and faces with twenty MgMg10Sc2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Si2O9 by Materials Project

(MgO2)3Mg3Si4O12 crystallizes in the triclinic P1 space group. The structure is two-dimensional and consists of two Mg3Si4O12 sheets oriented in the (0, 0, 1) direction and two MgO2 sheets oriented in the (0, 0, 1) direction. In each Mg3Si4O12 sheet, there are three inequivalent Mg sites. In the first 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 2.09–2.13 Å. In the second 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 2.01–2.20 Å. In the third 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 2.02–2.22 Å. There are four 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 equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–59°. There is one shorter (1.65 Å) and three longer (1.66 Å) Si–O bond length. In the second Si site, Si is bonded to four O atoms to form SiO4 tetrahedra that share corners with three MgO6 octahedra and corners with three equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–59°. There is one shorter (1.65 Å) and three longer (1.66 Å) Si–O bond length. 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 equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–59°. There is one shorter (1.65 Å) and three longer (1.66 Å) Si–O bond length. 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 equivalent SiO4 tetrahedra. The corner-sharing octahedra tilt angles range from 56–60°. There is one shorter (1.65 Å) and three longer (1.66 Å) Si–O bond length. There are twelve inequivalent O sites. In the first O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the second O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the third O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the fourth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the fifth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the sixth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted corner and edge-sharing OMg3Si trigonal pyramids. In the seventh O site, O is bonded to three Mg and one Si atom to form a mixture of distorted corner and edge-sharing OMg3Si trigonal pyramids. In the eighth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the ninth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the tenth O site, O is bonded in a bent 150 degrees geometry to two Si atoms. In the eleventh O site, O is bonded to three Mg and one Si atom to form a mixture of distorted corner and edge-sharing OMg3Si trigonal pyramids. In the twelfth O site, O is bonded to three Mg and one Si atom to form a mixture of distorted corner and edge-sharing OMg3Si trigonal pyramids. In each MgO2 sheet, there are three inequivalent Mg sites. In the first Mg site, Mg is bonded to six O atoms to form distorted edge-sharing MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.94–2.08 Å. In the second Mg site, Mg is bonded to six O atoms to form distorted edge-sharing MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.94–2.08 Å. In the third Mg site, Mg is bonded to six O atoms to form distorted edge-sharing MgO6 octahedra. There are a spread of Mg–O bond distances ranging from 1.93–2.09 Å. There are six inequivalent O sites. In the first O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the second O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the third O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the fourth O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the fifth O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms. In the sixth O site, O is bonded in a trigonal non-coplanar geometry to three Mg atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Cd by Materials Project

Mg5Cd crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Cd atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with eighteen MgMg10Cd2 cuboctahedra, edges with six equivalent CdMg10Cd2 cuboctahedra, edges with twelve MgMg9Cd3 cuboctahedra, faces with three equivalent CdMg10Cd2 cuboctahedra, and faces with seventeen MgMg10Cd2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.14–3.20 Å. Both Mg–Cd bond lengths are 3.13 Å. In the second Mg site, Mg is bonded to nine Mg and three equivalent Cd atoms to form distorted MgMg9Cd3 cuboctahedra that share corners with eighteen MgMg10Cd2 cuboctahedra, edges with two equivalent CdMg10Cd2 cuboctahedra, edges with sixteen MgMg10Cd2 cuboctahedra, faces with five equivalent CdMg10Cd2 cuboctahedra, and faces with fifteen MgMg10Cd2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.11–3.20 Å. There are two shorter (3.15 Å) and one longer (3.16 Å) Mg–Cd bond lengths. In the third Mg site, Mg is bonded to ten Mg and two equivalent Cd atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with six equivalent CdMg10Cd2 cuboctahedra, corners with twelve MgMg10Cd2 cuboctahedra, edges with three equivalent CdMg10Cd2 cuboctahedra, edges with fifteen MgMg10Cd2 cuboctahedra, faces with three equivalent CdMg10Cd2 cuboctahedra, and faces with seventeen MgMg10Cd2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.15–3.20 Å. Both Mg–Cd bond lengths are 3.16 Å. In the fourth Mg site, Mg is bonded to eleven Mg and one Cd atom to form distorted MgMg11Cd cuboctahedra that share corners with eighteen MgMg10Cd2 cuboctahedra, edges with four equivalent CdMg10Cd2 cuboctahedra, edges with fourteen MgMg10Cd2 cuboctahedra, faces with four equivalent CdMg10Cd2 cuboctahedra, and faces with sixteen MgMg10Cd2 cuboctahedra. There are two shorter (3.14 Å) and two longer (3.20 Å) Mg–Mg bond lengths. The Mg–Cd bond length is 3.12 Å. In the fifth Mg site, Mg is bonded to ten Mg and two equivalent Cd atoms to form distorted MgMg10Cd2 cuboctahedra that share corners with six equivalent CdMg10Cd2 cuboctahedra, corners with twelve MgMg10Cd2 cuboctahedra, edges with three equivalent CdMg10Cd2 cuboctahedra, edges with fifteen MgMg10Cd2 cuboctahedra, faces with three equivalent CdMg10Cd2 cuboctahedra, and faces with seventeen MgMg10Cd2 cuboctahedra. Both Mg–Mg bond lengths are 3.20 Å. Both Mg–Cd bond lengths are 3.17 Å. Cd is bonded to ten Mg and two equivalent Cd atoms to form distorted CdMg10Cd2 cuboctahedra that share corners with six equivalent CdMg10Cd2 cuboctahedra, corners with twelve MgMg10Cd2 cuboctahedra, edges with eighteen MgMg10Cd2 cuboctahedra, faces with two equivalent CdMg10Cd2 cuboctahedra, and faces with eighteen MgMg10Cd2 cuboctahedra. Both Cd–Cd bond lengths are 3.20 Å.

36 MATERIALS SCIENCE↗

Materials Data on Tb17Mg11Ni8 by Materials Project

Mg11Tb17Ni8 crystallizes in the orthorhombic Pmmm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 9-coordinate geometry to one Mg and eight Tb atoms. The Mg–Mg bond length is 3.10 Å. There are four shorter (3.32 Å) and four longer (3.46 Å) Mg–Tb bond lengths. In the second Mg site, Mg is bonded in a 9-coordinate geometry to one Mg and eight Tb atoms. The Mg–Mg bond length is 3.10 Å. There are four shorter (3.32 Å) and four longer (3.50 Å) Mg–Tb bond lengths. In the third Mg site, Mg is bonded in a 9-coordinate geometry to one Mg and eight Tb atoms. The Mg–Mg bond length is 3.10 Å. There are a spread of Mg–Tb bond distances ranging from 3.32–3.50 Å. In the fourth Mg site, Mg is bonded in a body-centered cubic geometry to eight Tb atoms. There are four shorter (3.27 Å) and four longer (3.28 Å) Mg–Tb bond lengths. In the fifth Mg site, Mg is bonded in a distorted square co-planar geometry to four equivalent Ni atoms. All Mg–Ni bond lengths are 2.95 Å. There are seven inequivalent Tb sites. In the first Tb site, Tb is bonded in a 2-coordinate geometry to six Mg and two equivalent Ni atoms. Both Tb–Ni bond lengths are 2.76 Å. In the second Tb site, Tb is bonded in a 2-coordinate geometry to six Mg and two equivalent Ni atoms. Both Tb–Ni bond lengths are 2.76 Å. In the third Tb site, Tb is bonded in a 4-coordinate geometry to four equivalent Mg and four equivalent Ni atoms. All Tb–Ni bond lengths are 2.91 Å. In the fourth Tb site, Tb is bonded in a 4-coordinate geometry to four equivalent Mg and four equivalent Ni atoms. All Tb–Ni bond lengths are 2.89 Å. In the fifth Tb site, Tb is bonded in a 4-coordinate geometry to four equivalent Mg and four equivalent Ni atoms. All Tb–Ni bond lengths are 2.91 Å. In the sixth Tb site, Tb is bonded in a 4-coordinate geometry to four equivalent Mg and four equivalent Ni atoms. All Tb–Ni bond lengths are 2.89 Å. In the seventh Tb site, Tb is bonded in a square co-planar geometry to four equivalent Ni atoms. All Tb–Ni bond lengths are 2.95 Å. There are two inequivalent Ni sites. In the first Ni site, Ni is bonded in a 7-coordinate geometry to seven Tb atoms. In the second Ni site, Ni is bonded in a 7-coordinate geometry to one Mg and six Tb atoms.

36 MATERIALS SCIENCE↗

Materials Data on MgSi by Materials Project

MgSi crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are six inequivalent Mg sites. In the first Mg site, Mg is bonded in a 6-coordinate geometry to two equivalent Mg and six Si atoms. Both Mg–Mg bond lengths are 3.32 Å. There are a spread of Mg–Si bond distances ranging from 2.83–3.01 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 2.83–3.00 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 2.76–3.13 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to four Mg and eight Si atoms. Both Mg–Mg bond lengths are 3.26 Å. There are a spread of Mg–Si bond distances ranging from 2.87–3.23 Å. In the fifth Mg site, Mg is bonded to four Si atoms to form distorted MgSi4 tetrahedra that share corners with two equivalent MgSi4 tetrahedra and edges with two equivalent MgMg2Si4 tetrahedra. There are a spread of Mg–Si bond distances ranging from 2.66–2.78 Å. In the sixth Mg site, Mg is bonded to two equivalent Mg and four Si atoms to form edge-sharing MgMg2Si4 tetrahedra. There are a spread of Mg–Si bond distances ranging from 2.62–2.71 Å. There are six inequivalent Si sites. In the first Si site, Si is bonded in a 1-coordinate geometry to six Mg and two equivalent Si atoms. Both Si–Si bond lengths are 2.40 Å. In the second Si site, Si is bonded in a 1-coordinate geometry to five Mg and three Si atoms. There are one shorter (2.50 Å) and two longer (2.52 Å) Si–Si bond lengths. In the third Si site, Si is bonded in a 9-coordinate geometry to eight Mg and one Si atom. The Si–Si bond length is 2.34 Å. In the fourth Si site, Si is bonded in a 9-coordinate geometry to eight Mg and one Si atom. In the fifth Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. The Si–Si bond length is 2.57 Å. In the sixth Si site, Si is bonded in a 7-coordinate geometry to three Mg and four Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Si2 by Materials Project

Mg3Si2 crystallizes in the triclinic P-1 space group. The structure is three-dimensional. there are six inequivalent Mg sites. In the first Mg site, Mg is bonded in a 3-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.79–3.20 Å. In the second Mg site, Mg is bonded in a 5-coordinate geometry to one Mg and five Si atoms. The Mg–Mg bond length is 3.19 Å. There are a spread of Mg–Si bond distances ranging from 2.82–3.07 Å. In the third Mg site, Mg is bonded in a 4-coordinate geometry to four Si atoms. There are a spread of Mg–Si bond distances ranging from 2.62–2.93 Å. In the fourth Mg site, Mg is bonded in a 4-coordinate geometry to three equivalent Mg and four Si atoms. There are a spread of Mg–Mg bond distances ranging from 2.92–3.18 Å. There are a spread of Mg–Si bond distances ranging from 2.66–2.89 Å. In the fifth Mg site, Mg is bonded in a 5-coordinate geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.80–3.14 Å. In the sixth Mg site, Mg is bonded in a 12-coordinate geometry to six Mg and six Si atoms. There are one shorter (2.99 Å) and one longer (3.10 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.76–3.05 Å. There are four inequivalent Si sites. In the first Si site, Si is bonded in a 9-coordinate geometry to eight Mg and one Si atom. The Si–Si bond length is 2.38 Å. In the second Si site, Si is bonded in a 9-coordinate geometry to seven Mg and two Si atoms. There are one shorter (2.51 Å) and one longer (2.56 Å) Si–Si bond lengths. In the third Si site, Si is bonded in a 9-coordinate geometry to eight Mg and one Si atom. In the fourth Si site, Si is bonded in a 9-coordinate geometry to eight Mg and one Si atom.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Ag by Materials Project

Mg5Ag crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and two equivalent Ag atoms. There are a spread of Mg–Mg bond distances ranging from 3.03–3.15 Å. Both Mg–Ag bond lengths are 2.96 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Ag atoms to form distorted MgMg10Ag2 cuboctahedra that share corners with six equivalent MgMg10Ag2 cuboctahedra, edges with six equivalent MgMg11Ag cuboctahedra, and faces with five MgMg10Ag2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 2.98–3.24 Å. Both Mg–Ag bond lengths are 3.14 Å. In the third Mg site, Mg is bonded to eleven Mg and one Ag atom to form distorted MgMg11Ag cuboctahedra that share corners with six equivalent MgMg11Ag cuboctahedra, edges with six equivalent MgMg10Ag2 cuboctahedra, and faces with five MgMg10Ag2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.07–3.22 Å. The Mg–Ag bond length is 3.07 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to seven Mg and two equivalent Ag atoms. Both Mg–Mg bond lengths are 3.11 Å. Both Mg–Ag bond lengths are 2.96 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to nine Mg and three equivalent Ag atoms. Both Mg–Mg bond lengths are 3.22 Å. There are two shorter (2.97 Å) and one longer (3.21 Å) Mg–Ag bond lengths. Ag is bonded in a 12-coordinate geometry to ten Mg atoms.

36 MATERIALS SCIENCE↗

Materials Data on Mg5Sb by Materials Project

Mg5Sb crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Sb atoms to form distorted MgMg10Sb2 cuboctahedra that share corners with two equivalent SbMg10 cuboctahedra, corners with twenty MgMg10Sb2 cuboctahedra, edges with four equivalent SbMg10 cuboctahedra, edges with nine MgMg5Sb3 cuboctahedra, faces with three equivalent SbMg10 cuboctahedra, and faces with sixteen MgMg10Sb2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.26 Å. Both Mg–Sb bond lengths are 3.28 Å. In the second Mg site, Mg is bonded to five Mg and three equivalent Sb atoms to form distorted MgMg5Sb3 cuboctahedra that share corners with two equivalent SbMg10 cuboctahedra, corners with nineteen MgMg10Sb2 cuboctahedra, edges with three equivalent SbMg10 cuboctahedra, edges with thirteen MgMg10Sb2 cuboctahedra, and faces with nine MgMg10Sb2 cuboctahedra. There are two shorter (3.19 Å) and one longer (3.23 Å) Mg–Mg bond lengths. There are one shorter (3.15 Å) and two longer (3.21 Å) Mg–Sb bond lengths. In the third Mg site, Mg is bonded to six Mg and two equivalent Sb atoms to form distorted MgMg6Sb2 cuboctahedra that share corners with seven equivalent SbMg10 cuboctahedra, corners with fourteen MgMg10Sb2 cuboctahedra, an edgeedge with one SbMg10 cuboctahedra, edges with thirteen MgMg10Sb2 cuboctahedra, and faces with eleven MgMg10Sb2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.13–3.24 Å. Both Mg–Sb bond lengths are 3.16 Å. In the fourth Mg site, Mg is bonded to eleven Mg and one Sb atom to form distorted MgMg11Sb cuboctahedra that share corners with twenty-one MgMg10Sb2 cuboctahedra, edges with four equivalent SbMg10 cuboctahedra, edges with fifteen MgMg10Sb2 cuboctahedra, faces with four equivalent SbMg10 cuboctahedra, and faces with ten MgMg10Sb2 cuboctahedra. There are two shorter (3.21 Å) and two longer (3.26 Å) Mg–Mg bond lengths. The Mg–Sb bond length is 3.23 Å. In the fifth Mg site, Mg is bonded to ten Mg and two equivalent Sb atoms to form distorted MgMg10Sb2 cuboctahedra that share corners with eight equivalent SbMg10 cuboctahedra, corners with fourteen MgMg5Sb3 cuboctahedra, an edgeedge with one SbMg10 cuboctahedra, edges with twelve MgMg10Sb2 cuboctahedra, faces with three equivalent SbMg10 cuboctahedra, and faces with sixteen MgMg10Sb2 cuboctahedra. Both Mg–Mg bond lengths are 3.26 Å. Both Mg–Sb bond lengths are 3.24 Å. Sb is bonded to ten Mg atoms to form distorted SbMg10 cuboctahedra that share corners with four equivalent SbMg10 cuboctahedra, corners with nineteen MgMg10Sb2 cuboctahedra, edges with thirteen MgMg10Sb2 cuboctahedra, faces with two equivalent SbMg10 cuboctahedra, and faces with ten MgMg10Sb2 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on YMg5 by Materials Project

Mg5Y crystallizes in the monoclinic Cm space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form distorted MgY2Mg10 cuboctahedra that share corners with eighteen MgY2Mg10 cuboctahedra, edges with six equivalent YY2Mg10 cuboctahedra, edges with twelve MgY3Mg9 cuboctahedra, faces with three equivalent YY2Mg10 cuboctahedra, and faces with seventeen MgY2Mg10 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.13–3.49 Å. Both Mg–Y bond lengths are 3.26 Å. In the second Mg site, Mg is bonded to nine Mg and three equivalent Y atoms to form MgY3Mg9 cuboctahedra that share corners with eighteen MgY2Mg10 cuboctahedra, edges with two equivalent YY2Mg10 cuboctahedra, edges with sixteen MgY2Mg10 cuboctahedra, faces with five equivalent YY2Mg10 cuboctahedra, and faces with fifteen MgY2Mg10 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.22–3.31 Å. There are two shorter (3.36 Å) and one longer (3.38 Å) Mg–Y bond lengths. In the third Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form MgY2Mg10 cuboctahedra that share corners with six equivalent YY2Mg10 cuboctahedra, corners with twelve MgY2Mg10 cuboctahedra, edges with three equivalent YY2Mg10 cuboctahedra, edges with fifteen MgY2Mg10 cuboctahedra, faces with three equivalent YY2Mg10 cuboctahedra, and faces with seventeen MgY2Mg10 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.37 Å. Both Mg–Y bond lengths are 3.36 Å. In the fourth Mg site, Mg is bonded to eleven Mg and one Y atom to form MgYMg11 cuboctahedra that share corners with eighteen MgY2Mg10 cuboctahedra, edges with four equivalent YY2Mg10 cuboctahedra, edges with fourteen MgY2Mg10 cuboctahedra, faces with four equivalent YY2Mg10 cuboctahedra, and faces with sixteen MgY2Mg10 cuboctahedra. There are two shorter (3.22 Å) and two longer (3.24 Å) Mg–Mg bond lengths. The Mg–Y bond length is 3.25 Å. In the fifth Mg site, Mg is bonded to ten Mg and two equivalent Y atoms to form distorted MgY2Mg10 cuboctahedra that share corners with six equivalent YY2Mg10 cuboctahedra, corners with twelve MgY2Mg10 cuboctahedra, edges with three equivalent YY2Mg10 cuboctahedra, edges with fifteen MgY2Mg10 cuboctahedra, faces with three equivalent YY2Mg10 cuboctahedra, and faces with seventeen MgY2Mg10 cuboctahedra. Both Mg–Mg bond lengths are 3.24 Å. Both Mg–Y bond lengths are 3.30 Å. Y is bonded to ten Mg and two equivalent Y atoms to form YY2Mg10 cuboctahedra that share corners with six equivalent YY2Mg10 cuboctahedra, corners with twelve MgY2Mg10 cuboctahedra, edges with eighteen MgY2Mg10 cuboctahedra, faces with two equivalent YY2Mg10 cuboctahedra, and faces with eighteen MgY2Mg10 cuboctahedra. Both Y–Y bond lengths are 3.24 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Si4 by Materials Project

Mg3Si4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Mg sites. In the first Mg site, Mg is bonded in a 5-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.73–2.94 Å. In the second Mg site, Mg is bonded in a 12-coordinate geometry to three Mg and nine Si atoms. There are a spread of Mg–Mg bond distances ranging from 3.00–3.06 Å. There are a spread of Mg–Si bond distances ranging from 2.70–3.07 Å. In the third Mg site, Mg is bonded in a 9-coordinate geometry to one Mg and nine Si atoms. There are a spread of Mg–Si bond distances ranging from 2.71–3.05 Å. In the fourth Mg site, Mg is bonded in a 1-coordinate geometry to two equivalent Mg and nine Si atoms. There are a spread of Mg–Si bond distances ranging from 2.68–3.15 Å. In the fifth Mg site, Mg is bonded in a distorted rectangular see-saw-like geometry to six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.68–3.16 Å. In the sixth Mg site, Mg is bonded in a 8-coordinate geometry to eight Si atoms. There are a spread of Mg–Si bond distances ranging from 2.83–3.08 Å. There are eight 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 (2.41 Å) and one longer (2.49 Å) Si–Si bond lengths. In the second Si site, Si is bonded in a 1-coordinate geometry to five Mg and three Si atoms. Both Si–Si bond lengths are 2.55 Å. In the third Si site, Si is bonded in a 9-coordinate geometry to six Mg and three Si atoms. There are two shorter (2.54 Å) and one longer (2.60 Å) Si–Si bond lengths. In the fourth Si site, Si is bonded in a 9-coordinate geometry to five Mg and four Si atoms. There are one shorter (2.51 Å) and one longer (2.59 Å) Si–Si bond lengths. In the fifth Si site, Si is bonded in a 11-coordinate geometry to seven Mg and four Si atoms. There are one shorter (2.79 Å) and one longer (2.81 Å) Si–Si bond lengths. In the sixth Si site, Si is bonded in a 10-coordinate geometry to seven Mg and three Si atoms. There are one shorter (2.63 Å) and one longer (2.64 Å) Si–Si bond lengths. In the seventh Si site, Si is bonded in a 9-coordinate geometry to five Mg and four Si atoms. In the eighth Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms.

36 MATERIALS SCIENCE↗

Materials Data on SmMg5 by Materials Project

SmMg5 crystallizes in the monoclinic Cm 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 nine Mg and two equivalent Sm atoms. There are a spread of Mg–Mg bond distances ranging from 3.16–3.32 Å. Both Mg–Sm bond lengths are 3.35 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Sm atoms to form distorted MgSm2Mg10 cuboctahedra that share corners with four equivalent MgSm2Mg10 cuboctahedra, corners with four equivalent SmSm2Mg10 cuboctahedra, edges with six equivalent MgSm2Mg10 cuboctahedra, edges with six equivalent SmSm2Mg10 cuboctahedra, faces with two equivalent SmSm2Mg10 cuboctahedra, and faces with eleven MgSm2Mg10 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.15–3.48 Å. Both Mg–Sm bond lengths are 3.33 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Sm atoms to form MgSm2Mg10 cuboctahedra that share corners with eight MgSm2Mg10 cuboctahedra, edges with twelve MgSm2Mg10 cuboctahedra, faces with six equivalent SmSm2Mg10 cuboctahedra, and faces with seven MgSm2Mg10 cuboctahedra. There are four shorter (3.25 Å) and two longer (3.33 Å) Mg–Mg bond lengths. Both Mg–Sm bond lengths are 3.39 Å. In the fourth Mg site, Mg is bonded in a 12-coordinate geometry to nine Mg and two equivalent Sm atoms. There are two shorter (3.17 Å) and two longer (3.25 Å) Mg–Mg bond lengths. Both Mg–Sm bond lengths are 3.33 Å. In the fifth Mg site, Mg is bonded to ten Mg and two equivalent Sm atoms to form distorted MgSm2Mg10 cuboctahedra that share corners with eight MgSm2Mg10 cuboctahedra, edges with six equivalent MgSm2Mg10 cuboctahedra, edges with six equivalent SmSm2Mg10 cuboctahedra, faces with three equivalent SmSm2Mg10 cuboctahedra, and faces with ten MgSm2Mg10 cuboctahedra. Both Mg–Mg bond lengths are 3.25 Å. Both Mg–Sm bond lengths are 3.35 Å. Sm is bonded to ten Mg and two equivalent Sm atoms to form SmSm2Mg10 cuboctahedra that share corners with four equivalent MgSm2Mg10 cuboctahedra, corners with four equivalent SmSm2Mg10 cuboctahedra, edges with twelve MgSm2Mg10 cuboctahedra, faces with two equivalent SmSm2Mg10 cuboctahedra, and faces with eleven MgSm2Mg10 cuboctahedra. Both Sm–Sm bond lengths are 3.25 Å.

36 MATERIALS SCIENCE↗

Materials Data on Mg3Si4 by Materials Project

Mg3Si4 crystallizes in the triclinic P1 space group. The structure is three-dimensional. there are six inequivalent Mg sites. In the first Mg site, Mg is bonded in a distorted tetrahedral geometry to four Si atoms. There are a spread of Mg–Si bond distances ranging from 2.71–2.74 Å. In the second Mg site, Mg is bonded in a 6-coordinate geometry to two Mg and eight Si atoms. There are one shorter (3.13 Å) and one longer (3.19 Å) Mg–Mg bond lengths. There are a spread of Mg–Si bond distances ranging from 2.76–3.23 Å. In the third 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 2.66–3.08 Å. In the fourth Mg site, Mg is bonded in a 4-coordinate geometry to five Si atoms. There are a spread of Mg–Si bond distances ranging from 2.66–3.04 Å. In the fifth Mg site, Mg is bonded in a 6-coordinate geometry to one Mg and six Si atoms. There are a spread of Mg–Si bond distances ranging from 2.79–3.04 Å. In the sixth Mg site, Mg is bonded in a 1-coordinate geometry to seven Si atoms. There are a spread of Mg–Si bond distances ranging from 2.70–3.15 Å. There are eight inequivalent Si sites. In the first Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.37–2.49 Å. In the second Si site, Si is bonded in a 9-coordinate geometry to five Mg and four Si atoms. There are a spread of Si–Si bond distances ranging from 2.39–2.86 Å. In the third Si site, Si is bonded in a 8-coordinate geometry to five Mg and three Si atoms. There are a spread of Si–Si bond distances ranging from 2.42–2.50 Å. In the fourth Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. The Si–Si bond length is 2.35 Å. In the fifth Si site, Si is bonded in a 7-coordinate geometry to six Mg and one Si atom. In the sixth Si site, Si is bonded in a 6-coordinate geometry to three Mg and three Si atoms. The Si–Si bond length is 2.41 Å. In the seventh Si site, Si is bonded in a 7-coordinate geometry to four Mg and three Si atoms. In the eighth Si site, Si is bonded in a 7-coordinate geometry to five Mg and two Si atoms.

36 MATERIALS SCIENCE↗