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Mg2Ge is Cubic Laves structured and crystallizes in the cubic Fd-3m space group. The structure is three-dimensional. Mg is bonded to six equivalent Mg and six equivalent Ge atoms to form a mixture of corner, edge, and face-sharing MgMg6Ge6 cuboctahedra. All Mg–Mg bond lengths are 2.85 Å. All Mg–Ge bond lengths are 3.34 Å. Ge is bonded in a 12-coordinate geometry to twelve equivalent Mg atoms.
Mg2Ge is Fluorite structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Mg is bonded to four equivalent Ge atoms to form a mixture of edge and corner-sharing MgGe4 tetrahedra. All Mg–Ge bond lengths are 2.78 Å. Ge is bonded in a body-centered cubic geometry to eight equivalent Mg atoms.
Mg3Ge crystallizes in the hexagonal P6_3/m space group. The structure is three-dimensional. Mg is bonded in a distorted trigonal non-coplanar geometry to three equivalent Ge atoms. There are one shorter (2.78 Å) and two longer (2.86 Å) Mg–Ge bond lengths. Ge is bonded in a 9-coordinate geometry to nine equivalent Mg atoms.
Mg2Ge crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded in a 6-coordinate geometry to eight Mg and six equivalent Ge atoms. There are two shorter (3.05 Å) and six longer (3.13 Å) Mg–Mg bond lengths. All Mg–Ge bond lengths are 3.13 Å. In the second Mg site, Mg is bonded to six equivalent Mg and five equivalent Ge atoms to form a mixture of distorted corner and face-sharing MgMg6Ge5 trigonal bipyramids. There are three shorter (2.73 Å) and two longer (3.05 Å) Mg–Ge bond lengths. Ge is bonded in a 11-coordinate geometry to eleven Mg atoms.
MgGe is alpha-derived structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Mg is bonded in a 7-coordinate geometry to seven equivalent Ge atoms. There are a spread of Mg–Ge bond distances ranging from 2.86–2.99 Å. Ge is bonded in a 7-coordinate geometry to seven equivalent Mg atoms.
MgGe3 is Uranium Silicide-like structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. Mg is bonded to twelve Ge atoms to form MgGe12 cuboctahedra that share corners with four equivalent MgGe12 cuboctahedra, edges with eight equivalent MgGe12 cuboctahedra, edges with sixteen equivalent GeMg4Ge8 cuboctahedra, faces with four equivalent MgGe12 cuboctahedra, and faces with eight equivalent GeMg4Ge8 cuboctahedra. There are four shorter (2.96 Å) and eight longer (3.06 Å) Mg–Ge bond lengths. There are two inequivalent Ge sites. In the first Ge site, Ge is bonded in a square co-planar geometry to four equivalent Mg and eight equivalent Ge atoms. All Ge–Ge bond lengths are 3.06 Å. In the second Ge site, Ge is bonded to four equivalent Mg and eight Ge atoms to form distorted GeMg4Ge8 cuboctahedra that share corners with twelve equivalent GeMg4Ge8 cuboctahedra, edges with eight equivalent MgGe12 cuboctahedra, edges with eight equivalent GeMg4Ge8 cuboctahedra, faces with four equivalent MgGe12 cuboctahedra, and faces with ten equivalent GeMg4Ge8 cuboctahedra. All Ge–Ge bond lengths are 2.96 Å.
MgGe5 crystallizes in the hexagonal P-62m space group. The structure is three-dimensional. Mg is bonded to twelve Ge atoms to form a mixture of face and edge-sharing MgGe12 cuboctahedra. There are six shorter (2.99 Å) and six longer (3.04 Å) Mg–Ge bond lengths. There are two inequivalent Ge sites. In the first Ge site, Ge is bonded in a distorted trigonal planar geometry to three equivalent Mg atoms. In the second Ge site, Ge is bonded in a distorted water-like geometry to two equivalent Mg atoms.
MgGe2 is Magnesium tetraboride-like structured and crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. Mg is bonded in a 8-coordinate geometry to eight Ge atoms. There are a spread of Mg–Ge bond distances ranging from 2.89–3.16 Å. There are two inequivalent Ge sites. In the first Ge site, Ge is bonded in a 6-coordinate geometry to three equivalent Mg and three Ge atoms. There are one shorter (2.55 Å) and two longer (2.70 Å) Ge–Ge bond lengths. In the second Ge site, Ge is bonded in a 7-coordinate geometry to five equivalent Mg and two equivalent Ge atoms.
MgGe5 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Mg is bonded to two equivalent Mg and ten Ge atoms to form distorted MgMg2Ge10 cuboctahedra that share corners with six equivalent MgMg2Ge10 cuboctahedra, edges with eight equivalent GeGe12 cuboctahedra, faces with four equivalent MgMg2Ge10 cuboctahedra, and faces with eight GeMg2Ge10 cuboctahedra. Both Mg–Mg bond lengths are 2.96 Å. There are a spread of Mg–Ge bond distances ranging from 2.97–3.09 Å. There are five inequivalent Ge sites. In the first Ge site, Ge is bonded in a 12-coordinate geometry to four equivalent Mg and four Ge atoms. There are two shorter (2.99 Å) and two longer (3.01 Å) Ge–Ge bond lengths. In the second Ge site, Ge is bonded to two equivalent Mg and ten Ge atoms to form distorted GeMg2Ge10 cuboctahedra that share corners with twelve GeMg2Ge10 cuboctahedra, edges with three equivalent GeGe12 cuboctahedra, faces with six equivalent MgMg2Ge10 cuboctahedra, and faces with six GeMg2Ge10 cuboctahedra. There are a spread of Ge–Ge bond distances ranging from 2.95–3.01 Å. In the third Ge site, Ge is bonded to twelve Ge atoms to form GeGe12 cuboctahedra that share corners with twelve GeMg2Ge10 cuboctahedra, edges with three equivalent GeMg2Ge10 cuboctahedra, edges with eight equivalent MgMg2Ge10 cuboctahedra, faces with two equivalent MgMg2Ge10 cuboctahedra, and faces with six GeMg2Ge10 cuboctahedra. There are a spread of Ge–Ge bond distances ranging from 2.96–3.08 Å. In the fourth Ge site, Ge is bonded in a 12-coordinate geometry to two equivalent Mg and four equivalent Ge atoms. In the fifth Ge site, Ge is bonded in a 12-coordinate geometry to two equivalent Mg and six Ge atoms.
MgGe5 crystallizes in the monoclinic Cm space group. The structure is two-dimensional and consists of one MgGe5 sheet oriented in the (0, 0, 1) direction. Mg is bonded in a 10-coordinate geometry to ten Ge atoms. There are a spread of Mg–Ge bond distances ranging from 2.98–3.07 Å. There are five inequivalent Ge sites. In the first Ge site, Ge is bonded in a 10-coordinate geometry to two equivalent Mg atoms. In the second Ge site, Ge is bonded in a 10-coordinate geometry to two equivalent Mg atoms. In the third Ge site, Ge is bonded in a 1-coordinate geometry to one Mg atom. In the fourth Ge site, Ge is bonded in a 6-coordinate geometry to two equivalent Mg atoms. In the fifth Ge site, Ge is bonded in a 10-coordinate geometry to three equivalent Mg atoms.
Mg5Ge crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. there are five inequivalent Mg sites. In the first Mg site, Mg is bonded to eight Mg and four equivalent Ge atoms to form distorted MgMg8Ge4 cuboctahedra that share corners with eighteen MgMg8Ge4 cuboctahedra, edges with six MgMg10Ge2 cuboctahedra, and faces with fourteen MgMg8Ge4 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.01–3.17 Å. All Mg–Ge bond lengths are 3.12 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form a mixture of distorted edge, corner, and face-sharing MgMg10Ge2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.17 Å. Both Mg–Ge bond lengths are 3.09 Å. In the third Mg site, Mg is bonded to twelve Mg atoms to form a mixture of edge, corner, and face-sharing MgMg12 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.16–3.18 Å. In the fourth Mg site, Mg is bonded to six Mg and two equivalent Ge atoms to form distorted MgMg6Ge2 cuboctahedra that share corners with twelve MgMg10Ge2 cuboctahedra, edges with ten MgMg10Ge2 cuboctahedra, and faces with ten MgMg8Ge4 cuboctahedra. Both Mg–Ge bond lengths are 3.03 Å. In the fifth Mg site, Mg is bonded in a 12-coordinate geometry to six Mg and two equivalent Ge atoms. Both Mg–Ge bond lengths are 2.97 Å. Ge is bonded in a 10-coordinate geometry to ten Mg atoms.
MgGe3 crystallizes in the orthorhombic Imm2 space group. The structure is three-dimensional. Mg is bonded in a 10-coordinate geometry to ten Ge atoms. There are a spread of Mg–Ge bond distances ranging from 2.75–3.18 Å. There are two inequivalent Ge sites. In the first Ge site, Ge is bonded in a 8-coordinate geometry to three equivalent Mg and five Ge atoms. There are one shorter (2.59 Å) and four longer (2.83 Å) Ge–Ge bond lengths. In the second Ge site, Ge is bonded in a 6-coordinate geometry to four equivalent Mg and two equivalent Ge atoms.
MgGe3 is beta Cu3Ti-like structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Mg is bonded to twelve equivalent Ge atoms to form a mixture of face and corner-sharing MgGe12 cuboctahedra. There are six shorter (2.97 Å) and six longer (3.10 Å) Mg–Ge bond lengths. Ge is bonded in a 12-coordinate geometry to four equivalent Mg atoms.
Mg5Ge crystallizes in the trigonal R32 space group. The structure is three-dimensional. there are ten inequivalent Mg sites. In the first Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg10Ge2 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.18 Å. Both Mg–Ge bond lengths are 3.11 Å. In the second Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg10Ge2 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.18 Å. Both Mg–Ge bond lengths are 3.11 Å. In the third Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg10Ge2 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.18 Å. Both Mg–Ge bond lengths are 3.11 Å. In the fourth Mg site, Mg is bonded to nine Mg and three equivalent Ge atoms to form distorted MgMg9Ge3 cuboctahedra that share corners with six equivalent GeMg12 cuboctahedra, corners with twelve MgMg9Ge3 cuboctahedra, edges with eighteen MgMg10Ge2 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are three shorter (3.13 Å) and two longer (3.14 Å) Mg–Mg bond lengths. All Mg–Ge bond lengths are 3.13 Å. In the fifth Mg site, Mg is bonded to nine Mg and three equivalent Ge atoms to form distorted MgMg9Ge3 cuboctahedra that share corners with six equivalent GeMg12 cuboctahedra, corners with twelve MgMg9Ge3 cuboctahedra, edges with eighteen MgMg10Ge2 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. Both Mg–Mg bond lengths are 3.10 Å. All Mg–Ge bond lengths are 3.13 Å. In the sixth Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg9Ge3 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are two shorter (3.10 Å) and one longer (3.18 Å) Mg–Mg bond lengths. Both Mg–Ge bond lengths are 3.11 Å. In the seventh Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg9Ge3 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. Both Mg–Ge bond lengths are 3.11 Å. In the eighth Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg9Ge3 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.18 Å. Both Mg–Ge bond lengths are 3.11 Å. In the ninth Mg site, Mg is bonded to ten Mg and two equivalent Ge atoms to form distorted MgMg10Ge2 cuboctahedra that share corners with eighteen MgMg10Ge2 cuboctahedra, edges with four equivalent GeMg12 cuboctahedra, edges with fourteen MgMg9Ge3 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.18 Å. Both Mg–Ge bond lengths are 3.11 Å. In the tenth Mg site, Mg is bonded to nine Mg and three equivalent Ge atoms to form distorted MgMg9Ge3 cuboctahedra that share corners with six equivalent GeMg12 cuboctahedra, corners with twelve MgMg9Ge3 cuboctahedra, edges with eighteen MgMg10Ge2 cuboctahedra, faces with four equivalent GeMg12 cuboctahedra, and faces with sixteen MgMg10Ge2 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.10–3.14 Å. All Mg–Ge bond lengths are 3.13 Å. Ge is bonded to twelve Mg atoms to form GeMg12 cuboctahedra that share corners with six equivalent GeMg12 cuboctahedra, corners with twelve MgMg9Ge3 cuboctahedra, edges with six equivalent GeMg12 cuboctahedra, edges with twelve MgMg10Ge2 cuboctahedra, and faces with twenty MgMg10Ge2 cuboctahedra.