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MgLu 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 Lu atoms. All Mg–Lu bond lengths are 3.23 Å. Lu is bonded in a body-centered cubic geometry to eight equivalent Mg atoms.
Mg3Lu is Magnesium-derived structured and 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 to eight Mg and four equivalent Lu atoms to form MgLu4Mg8 cuboctahedra that share corners with four equivalent LuMg12 cuboctahedra, corners with fourteen MgLu4Mg8 cuboctahedra, edges with six equivalent LuMg12 cuboctahedra, edges with twelve MgLu4Mg8 cuboctahedra, faces with four equivalent LuMg12 cuboctahedra, and faces with sixteen MgLu4Mg8 cuboctahedra. There are a spread of Mg–Mg bond distances ranging from 3.19–3.35 Å. There are two shorter (3.23 Å) and two longer (3.30 Å) Mg–Lu bond lengths. In the second Mg site, Mg is bonded to eight equivalent Mg and four equivalent Lu atoms to form MgLu4Mg8 cuboctahedra that share corners with four equivalent LuMg12 cuboctahedra, corners with fourteen MgLu4Mg8 cuboctahedra, edges with six equivalent LuMg12 cuboctahedra, edges with twelve equivalent MgLu4Mg8 cuboctahedra, faces with four equivalent LuMg12 cuboctahedra, and faces with sixteen MgLu4Mg8 cuboctahedra. There are two shorter (3.23 Å) and two longer (3.30 Å) Mg–Lu bond lengths. Lu is bonded to twelve Mg atoms to form LuMg12 cuboctahedra that share corners with six equivalent LuMg12 cuboctahedra, corners with twelve MgLu4Mg8 cuboctahedra, edges with eighteen MgLu4Mg8 cuboctahedra, faces with eight equivalent LuMg12 cuboctahedra, and faces with twelve MgLu4Mg8 cuboctahedra.
Mg3Lu is Uranium Silicide structured and crystallizes in the cubic Pm-3m space group. The structure is three-dimensional. Mg is bonded to eight equivalent Mg and four equivalent Lu atoms to form MgLu4Mg8 cuboctahedra that share corners with twelve equivalent MgLu4Mg8 cuboctahedra, edges with eight equivalent LuMg12 cuboctahedra, edges with sixteen equivalent MgLu4Mg8 cuboctahedra, faces with four equivalent LuMg12 cuboctahedra, and faces with fourteen equivalent MgLu4Mg8 cuboctahedra. All Mg–Mg bond lengths are 3.26 Å. All Mg–Lu bond lengths are 3.26 Å. Lu is bonded to twelve equivalent Mg atoms to form LuMg12 cuboctahedra that share corners with twelve equivalent LuMg12 cuboctahedra, edges with twenty-four equivalent MgLu4Mg8 cuboctahedra, faces with six equivalent LuMg12 cuboctahedra, and faces with twelve equivalent MgLu4Mg8 cuboctahedra.
Mg24Lu5 is alpha-derived structured and crystallizes in the cubic I-43m space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded in a 2-coordinate geometry to eleven Mg and two equivalent Lu atoms. There are a spread of Mg–Mg bond distances ranging from 3.00–3.36 Å. There are one shorter (3.19 Å) and one longer (3.70 Å) Mg–Lu bond lengths. In the second Mg site, Mg is bonded in a 12-coordinate geometry to eight Mg and four Lu atoms. There are one shorter (2.83 Å) and two longer (3.02 Å) Mg–Mg bond lengths. There are a spread of Mg–Lu bond distances ranging from 3.40–3.62 Å. There are two inequivalent Lu sites. In the first Lu site, Lu is bonded in a 12-coordinate geometry to twelve equivalent Mg and four equivalent Lu atoms. All Lu–Lu bond lengths are 3.54 Å. In the second Lu site, Lu is bonded in a 3-coordinate geometry to fifteen Mg and one Lu atom.
MgLu3 is Magnesium-derived structured and crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Mg is bonded to twelve equivalent Lu atoms to form MgLu12 cuboctahedra that share corners with six equivalent MgLu12 cuboctahedra, corners with twelve equivalent LuLu8Mg4 cuboctahedra, edges with eighteen equivalent LuLu8Mg4 cuboctahedra, faces with eight equivalent MgLu12 cuboctahedra, and faces with twelve equivalent LuLu8Mg4 cuboctahedra. There are six shorter (3.37 Å) and six longer (3.43 Å) Mg–Lu bond lengths. Lu is bonded to four equivalent Mg and eight equivalent Lu atoms to form LuLu8Mg4 cuboctahedra that share corners with four equivalent MgLu12 cuboctahedra, corners with fourteen equivalent LuLu8Mg4 cuboctahedra, edges with six equivalent MgLu12 cuboctahedra, edges with twelve equivalent LuLu8Mg4 cuboctahedra, faces with four equivalent MgLu12 cuboctahedra, and faces with sixteen equivalent LuLu8Mg4 cuboctahedra. There are a spread of Lu–Lu bond distances ranging from 3.39–3.47 Å.
MgLu3 crystallizes in the orthorhombic Cmmm space group. The structure is three-dimensional. Mg is bonded in a distorted body-centered cubic geometry to four equivalent Mg and four equivalent Lu atoms. All Mg–Mg bond lengths are 3.32 Å. All Mg–Lu bond lengths are 3.34 Å. There are two inequivalent Lu sites. In the first Lu site, Lu is bonded in a distorted body-centered cubic geometry to two equivalent Mg and six Lu atoms. There are four shorter (3.32 Å) and two longer (3.35 Å) Lu–Lu bond lengths. In the second Lu site, Lu is bonded in a distorted body-centered cubic geometry to eight Lu atoms. All Lu–Lu bond lengths are 3.32 Å.
Mg3Lu is alpha bismuth trifluoride structured and crystallizes in the tetragonal I4/mmm space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded in a distorted body-centered cubic geometry to eight equivalent Mg and six equivalent Lu atoms. All Mg–Mg bond lengths are 3.14 Å. There are four shorter (3.61 Å) and two longer (3.66 Å) Mg–Lu bond lengths. In the second Mg site, Mg is bonded in a body-centered cubic geometry to four equivalent Mg and four equivalent Lu atoms. All Mg–Lu bond lengths are 3.14 Å. Lu is bonded in a distorted body-centered cubic geometry to fourteen Mg atoms.