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MgEu is Tetraauricupride structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Mg is bonded in a body-centered cubic geometry to eight equivalent Eu atoms. All Mg–Eu bond lengths are 3.56 Å. Eu is bonded in a body-centered cubic geometry to eight equivalent Mg atoms.
EuMg2 is Cubic Laves structured and crystallizes in the trigonal R-3m space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded to six equivalent Mg and six equivalent Eu atoms to form a mixture of edge, corner, and face-sharing MgEu6Mg6 cuboctahedra. All Mg–Mg bond lengths are 3.14 Å. All Mg–Eu bond lengths are 3.68 Å. In the second Mg site, Mg is bonded to six Mg and six equivalent Eu atoms to form a mixture of edge, corner, and face-sharing MgEu6Mg6 cuboctahedra. All Mg–Mg bond lengths are 3.14 Å. All Mg–Eu bond lengths are 3.68 Å. Eu is bonded in a 12-coordinate geometry to twelve Mg and four equivalent Eu atoms. There are three shorter (3.84 Å) and one longer (3.85 Å) Eu–Eu bond lengths.
Mg5Eu crystallizes in the hexagonal P-62m space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded in a distorted q6 geometry to eight Mg and two equivalent Eu atoms. There are four shorter (3.04 Å) and four longer (3.11 Å) Mg–Mg bond lengths. Both Mg–Eu bond lengths are 3.72 Å. In the second Mg site, Mg is bonded to nine Mg and three equivalent Eu atoms to form distorted MgEu3Mg9 cuboctahedra that share corners with nine equivalent MgEu3Mg9 cuboctahedra, corners with nine equivalent EuMg12 cuboctahedra, edges with six equivalent MgEu3Mg9 cuboctahedra, faces with three equivalent EuMg12 cuboctahedra, and faces with five equivalent MgEu3Mg9 cuboctahedra. All Mg–Mg bond lengths are 3.45 Å. All Mg–Eu bond lengths are 3.45 Å. Eu is bonded to twelve Mg atoms to form EuMg12 cuboctahedra that share corners with eighteen equivalent MgEu3Mg9 cuboctahedra, edges with six equivalent EuMg12 cuboctahedra, faces with two equivalent EuMg12 cuboctahedra, and faces with six equivalent MgEu3Mg9 cuboctahedra.
MgEu5 crystallizes in the hexagonal P-62m space group. The structure is three-dimensional. Mg is bonded to twelve Eu atoms to form MgEu12 cuboctahedra that share corners with eighteen equivalent EuEu9Mg3 cuboctahedra, edges with six equivalent MgEu12 cuboctahedra, edges with twelve equivalent EuEu10Mg2 cuboctahedra, faces with two equivalent MgEu12 cuboctahedra, and faces with eighteen EuEu9Mg3 cuboctahedra. There are six shorter (3.73 Å) and six longer (3.82 Å) Mg–Eu bond lengths. There are two inequivalent Eu sites. In the first Eu site, Eu is bonded to three equivalent Mg and nine Eu atoms to form EuEu9Mg3 cuboctahedra that share corners with nine equivalent MgEu12 cuboctahedra, corners with nine equivalent EuEu9Mg3 cuboctahedra, edges with eighteen EuEu9Mg3 cuboctahedra, faces with three equivalent MgEu12 cuboctahedra, and faces with seventeen EuEu9Mg3 cuboctahedra. There are six shorter (3.80 Å) and three longer (3.82 Å) Eu–Eu bond lengths. In the second Eu site, Eu is bonded to two equivalent Mg and ten Eu atoms to form EuEu10Mg2 cuboctahedra that share corners with eighteen equivalent EuEu10Mg2 cuboctahedra, edges with four equivalent MgEu12 cuboctahedra, edges with fourteen EuEu9Mg3 cuboctahedra, faces with four equivalent MgEu12 cuboctahedra, and faces with sixteen EuEu9Mg3 cuboctahedra. There are two shorter (3.69 Å) and four longer (3.89 Å) Eu–Eu bond lengths.
MgEu3 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 Eu atoms to form MgEu12 cuboctahedra that share corners with six equivalent MgEu12 cuboctahedra, corners with twelve equivalent EuEu8Mg4 cuboctahedra, edges with eighteen equivalent EuEu8Mg4 cuboctahedra, faces with eight equivalent MgEu12 cuboctahedra, and faces with twelve equivalent EuEu8Mg4 cuboctahedra. There are six shorter (3.70 Å) and six longer (3.77 Å) Mg–Eu bond lengths. Eu is bonded to four equivalent Mg and eight equivalent Eu atoms to form EuEu8Mg4 cuboctahedra that share corners with four equivalent MgEu12 cuboctahedra, corners with fourteen equivalent EuEu8Mg4 cuboctahedra, edges with six equivalent MgEu12 cuboctahedra, edges with twelve equivalent EuEu8Mg4 cuboctahedra, faces with four equivalent MgEu12 cuboctahedra, and faces with sixteen equivalent EuEu8Mg4 cuboctahedra. There are a spread of Eu–Eu bond distances ranging from 3.68–3.85 Å.
MgEu5 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Mg is bonded in a distorted q6 geometry to ten Eu atoms. There are a spread of Mg–Eu bond distances ranging from 3.62–3.82 Å. There are five inequivalent Eu sites. In the first Eu site, Eu is bonded to twelve Eu atoms to form EuEu12 cuboctahedra that share corners with eighteen EuEu12 cuboctahedra, edges with ten EuEu10Mg2 cuboctahedra, and faces with eighteen EuEu12 cuboctahedra. There are a spread of Eu–Eu bond distances ranging from 3.81–4.01 Å. In the second Eu site, Eu is bonded to four equivalent Mg and eight Eu atoms to form a mixture of distorted face, edge, and corner-sharing EuEu8Mg4 cuboctahedra. There are a spread of Eu–Eu bond distances ranging from 3.67–4.01 Å. In the third Eu site, Eu is bonded to two equivalent Mg and ten Eu atoms to form a mixture of face, edge, and corner-sharing EuEu10Mg2 cuboctahedra. There are four shorter (3.76 Å) and two longer (4.01 Å) Eu–Eu bond lengths. In the fourth Eu site, Eu is bonded to two equivalent Mg and ten Eu atoms to form distorted EuEu10Mg2 cuboctahedra that share corners with twelve EuEu10Mg2 cuboctahedra, edges with fifteen EuEu12 cuboctahedra, and faces with eighteen EuEu12 cuboctahedra. There are two shorter (4.01 Å) and two longer (4.10 Å) Eu–Eu bond lengths. In the fifth Eu site, Eu is bonded to two equivalent Mg and ten Eu atoms to form distorted EuEu10Mg2 cuboctahedra that share corners with twelve EuEu10Mg2 cuboctahedra, edges with fifteen EuEu8Mg4 cuboctahedra, and faces with eighteen EuEu12 cuboctahedra. Both Eu–Eu bond lengths are 4.01 Å.
MgEu3 crystallizes in the orthorhombic Imm2 space group. The structure is two-dimensional and consists of two MgEu3 sheets oriented in the (0, 0, 1) direction. Mg is bonded in a body-centered cubic geometry to eight Eu atoms. There are a spread of Mg–Eu bond distances ranging from 3.44–3.64 Å. There are two inequivalent Eu sites. In the first Eu site, Eu is bonded in a 12-coordinate geometry to two equivalent Mg atoms. In the second Eu site, Eu is bonded in a 4-coordinate geometry to four equivalent Mg atoms.
MgEu3 is alpha bismuth trifluoride structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Mg is bonded in a body-centered cubic geometry to eight equivalent Eu atoms. All Mg–Eu bond lengths are 3.64 Å. There are two inequivalent Eu sites. In the first Eu site, Eu is bonded in a distorted body-centered cubic geometry to four equivalent Mg and four equivalent Eu atoms. All Eu–Eu bond lengths are 3.64 Å. In the second Eu site, Eu is bonded in a body-centered cubic geometry to eight equivalent Eu atoms.
MgEu2 crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. Mg is bonded in a body-centered cubic geometry to eight Eu atoms. There are a spread of Mg–Eu bond distances ranging from 3.45–3.61 Å. There are two inequivalent Eu sites. In the first Eu site, Eu is bonded in a 12-coordinate geometry to six equivalent Mg and four equivalent Eu atoms. There are two shorter (3.82 Å) and two longer (4.04 Å) Eu–Eu bond lengths. In the second Eu site, Eu is bonded to two equivalent Mg and ten Eu atoms to form a mixture of distorted edge, face, and corner-sharing EuEu10Mg2 cuboctahedra. There are four shorter (3.76 Å) and two longer (3.87 Å) Eu–Eu bond lengths.
EuMg2 is Hexagonal Laves structured and crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. there are three inequivalent Mg sites. In the first Mg site, Mg is bonded to six Mg and six equivalent Eu atoms to form a mixture of corner, edge, and face-sharing MgEu6Mg6 cuboctahedra. All Mg–Mg bond lengths are 3.18 Å. There are two shorter (3.65 Å) and four longer (3.66 Å) Mg–Eu bond lengths. In the second Mg site, Mg is bonded to six Mg and six equivalent Eu atoms to form a mixture of corner, edge, and face-sharing MgEu6Mg6 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.09–3.15 Å. There are four shorter (3.69 Å) and two longer (3.70 Å) Mg–Eu bond lengths. In the third Mg site, Mg is bonded to six Mg and six equivalent Eu atoms to form a mixture of corner, edge, and face-sharing MgEu6Mg6 cuboctahedra. All Mg–Eu bond lengths are 3.70 Å. Eu is bonded in a 12-coordinate geometry to twelve Mg and four equivalent Eu atoms. There are three shorter (3.82 Å) and one longer (3.94 Å) Eu–Eu bond lengths.
MgEu3 crystallizes in the orthorhombic Pmm2 space group. The structure is three-dimensional. Mg is bonded in a distorted q6 geometry to ten Eu atoms. There are a spread of Mg–Eu bond distances ranging from 3.67–3.77 Å. There are three inequivalent Eu sites. In the first Eu site, Eu is bonded to two equivalent Mg and ten Eu atoms to form a mixture of corner, edge, and face-sharing EuEu10Mg2 cuboctahedra. There are a spread of Eu–Eu bond distances ranging from 3.62–3.97 Å. In the second Eu site, Eu is bonded to four equivalent Mg and eight Eu atoms to form a mixture of distorted corner, edge, and face-sharing EuEu8Mg4 cuboctahedra. There are two shorter (3.81 Å) and two longer (3.97 Å) Eu–Eu bond lengths. In the third Eu site, Eu is bonded to four equivalent Mg and eight Eu atoms to form distorted EuEu8Mg4 cuboctahedra that share corners with ten equivalent EuEu8Mg4 cuboctahedra, edges with fourteen EuEu10Mg2 cuboctahedra, and faces with sixteen EuEu10Mg2 cuboctahedra. Both Eu–Eu bond lengths are 3.97 Å.