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MgHo 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 Ho atoms. All Mg–Ho bond lengths are 3.27 Å. Ho is bonded in a body-centered cubic geometry to eight equivalent Mg atoms.
Mg2Ho is Hexagonal Laves 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 six equivalent Mg and six equivalent Ho atoms to form a mixture of face, edge, and corner-sharing MgHo6Mg6 cuboctahedra. All Mg–Mg bond lengths are 3.03 Å. All Mg–Ho bond lengths are 3.54 Å. In the second Mg site, Mg is bonded to six Mg and six equivalent Ho atoms to form a mixture of face, edge, and corner-sharing MgHo6Mg6 cuboctahedra. There are two shorter (2.94 Å) and two longer (3.10 Å) Mg–Mg bond lengths. There are two shorter (3.51 Å) and four longer (3.52 Å) Mg–Ho bond lengths. Ho is bonded in a 12-coordinate geometry to twelve Mg and four equivalent Ho atoms. There are one shorter (3.63 Å) and three longer (3.70 Å) Ho–Ho bond lengths.
MgHo2 crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. Mg is bonded in a distorted body-centered cubic geometry to eight Ho atoms. There are a spread of Mg–Ho bond distances ranging from 3.30–3.34 Å. There are two inequivalent Ho sites. In the first Ho site, Ho is bonded to six equivalent Mg and six Ho atoms to form a mixture of distorted face, edge, and corner-sharing HoHo6Mg6 cuboctahedra. There are a spread of Ho–Ho bond distances ranging from 3.54–3.63 Å. In the second Ho site, Ho is bonded to two equivalent Mg and ten Ho atoms to form a mixture of distorted face, edge, and corner-sharing HoHo10Mg2 cuboctahedra. There are four shorter (3.38 Å) and two longer (3.63 Å) Ho–Ho bond lengths.
Mg3Ho is alpha bismuth trifluoride structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. there are two inequivalent Mg sites. In the first Mg site, Mg is bonded in a body-centered cubic geometry to four equivalent Mg and four equivalent Ho atoms. All Mg–Mg bond lengths are 3.16 Å. All Mg–Ho bond lengths are 3.16 Å. In the second Mg site, Mg is bonded in a 8-coordinate geometry to eight equivalent Mg and six equivalent Ho atoms. All Mg–Ho bond lengths are 3.65 Å. Ho is bonded in a distorted body-centered cubic geometry to fourteen Mg atoms.
MgHo3 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 Ho atoms to form MgHo12 cuboctahedra that share corners with six equivalent MgHo12 cuboctahedra, corners with twelve equivalent HoHo8Mg4 cuboctahedra, edges with eighteen equivalent HoHo8Mg4 cuboctahedra, faces with eight equivalent MgHo12 cuboctahedra, and faces with twelve equivalent HoHo8Mg4 cuboctahedra. There are six shorter (3.40 Å) and six longer (3.49 Å) Mg–Ho bond lengths. Ho is bonded to four equivalent Mg and eight equivalent Ho atoms to form HoHo8Mg4 cuboctahedra that share corners with four equivalent MgHo12 cuboctahedra, corners with fourteen equivalent HoHo8Mg4 cuboctahedra, edges with six equivalent MgHo12 cuboctahedra, edges with twelve equivalent HoHo8Mg4 cuboctahedra, faces with four equivalent MgHo12 cuboctahedra, and faces with sixteen equivalent HoHo8Mg4 cuboctahedra. There are a spread of Ho–Ho bond distances ranging from 3.43–3.55 Å.
MgHo5 crystallizes in the trigonal R32 space group. The structure is three-dimensional. Mg is bonded to twelve Ho atoms to form MgHo12 cuboctahedra that share corners with six equivalent MgHo12 cuboctahedra, corners with twelve equivalent HoHo9Mg3 cuboctahedra, edges with six equivalent MgHo12 cuboctahedra, edges with twelve HoHo10Mg2 cuboctahedra, and faces with twenty HoHo10Mg2 cuboctahedra. There are six shorter (3.43 Å) and six longer (3.53 Å) Mg–Ho bond lengths. There are eight inequivalent Ho sites. In the first Ho site, Ho is bonded to two equivalent Mg and ten Ho atoms to form HoHo10Mg2 cuboctahedra that share corners with eighteen HoHo10Mg2 cuboctahedra, edges with four equivalent MgHo12 cuboctahedra, edges with fourteen HoHo10Mg2 cuboctahedra, faces with four equivalent MgHo12 cuboctahedra, and faces with sixteen HoHo10Mg2 cuboctahedra. There are a spread of Ho–Ho bond distances ranging from 3.41–3.57 Å. In the second Ho site, Ho is bonded to two equivalent Mg and ten Ho atoms to form HoHo10Mg2 cuboctahedra that share corners with eighteen HoHo10Mg2 cuboctahedra, edges with four equivalent MgHo12 cuboctahedra, edges with fourteen HoHo10Mg2 cuboctahedra, faces with four equivalent MgHo12 cuboctahedra, and faces with sixteen HoHo10Mg2 cuboctahedra. There are a spread of Ho–Ho bond distances ranging from 3.41–3.57 Å. In the third Ho site, Ho is bonded to two equivalent Mg and ten Ho atoms to form HoHo10Mg2 cuboctahedra that share corners with eighteen HoHo10Mg2 cuboctahedra, edges with four equivalent MgHo12 cuboctahedra, edges with fourteen HoHo9Mg3 cuboctahedra, faces with four equivalent MgHo12 cuboctahedra, and faces with sixteen HoHo10Mg2 cuboctahedra. There are a spread of Ho–Ho bond distances ranging from 3.41–3.57 Å. In the fourth Ho site, Ho is bonded to three equivalent Mg and nine Ho atoms to form HoHo9Mg3 cuboctahedra that share corners with six equivalent MgHo12 cuboctahedra, corners with twelve HoHo9Mg3 cuboctahedra, edges with eighteen HoHo10Mg2 cuboctahedra, faces with four equivalent MgHo12 cuboctahedra, and faces with sixteen HoHo10Mg2 cuboctahedra. There are a spread of Ho–Ho bond distances ranging from 3.41–3.53 Å. In the fifth Ho site, Ho is bonded to two equivalent Mg and ten Ho atoms to form HoHo10Mg2 cuboctahedra that share corners with eighteen HoHo10Mg2 cuboctahedra, edges with four equivalent MgHo12 cuboctahedra, edges with fourteen HoHo9Mg3 cuboctahedra, faces with four equivalent MgHo12 cuboctahedra, and faces with sixteen HoHo10Mg2 cuboctahedra. The Ho–Ho bond length is 3.41 Å. In the sixth Ho site, Ho is bonded to two equivalent Mg and ten Ho atoms to form HoHo10Mg2 cuboctahedra that share corners with eighteen HoHo10Mg2 cuboctahedra, edges with four equivalent MgHo12 cuboctahedra, edges with fourteen HoHo9Mg3 cuboctahedra, faces with four equivalent MgHo12 cuboctahedra, and faces with sixteen HoHo10Mg2 cuboctahedra. There are a spread of Ho–Ho bond distances ranging from 3.47–3.57 Å. In the seventh Ho site, Ho is bonded to three equivalent Mg and nine Ho atoms to form HoHo9Mg3 cuboctahedra that share corners with six equivalent MgHo12 cuboctahedra, corners with twelve equivalent HoHo9Mg3 cuboctahedra, edges with eighteen HoHo10Mg2 cuboctahedra, faces with four equivalent MgHo12 cuboctahedra, and faces with sixteen HoHo10Mg2 cuboctahedra. All Ho–Mg bond lengths are 3.53 Å. There are one shorter (3.47 Å) and three longer (3.53 Å) Ho–Ho bond lengths. In the eighth Ho site, Ho is bonded to two equivalent Mg and ten Ho atoms to form HoHo10Mg2 cuboctahedra that share corners with eighteen HoHo10Mg2 cuboctahedra, edges with four equivalent MgHo12 cuboctahedra, edges with fourteen HoHo9Mg3 cuboctahedra, faces with four equivalent MgHo12 cuboctahedra, and faces with sixteen HoHo10Mg2 cuboctahedra. Both Ho–Mg bond lengths are 3.43 Å. There are two shorter (3.41 Å) and one longer (3.47 Å) Ho–Ho bond lengths.
Mg2Ho is Cubic Laves structured and crystallizes in the trigonal R32 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 Ho atoms to form a mixture of edge, face, and corner-sharing MgHo6Mg6 cuboctahedra. All Mg–Mg bond lengths are 3.01 Å. All Mg–Ho bond lengths are 3.53 Å. In the second Mg site, Mg is bonded to six Mg and six equivalent Ho atoms to form a mixture of edge, face, and corner-sharing MgHo6Mg6 cuboctahedra. All Mg–Mg bond lengths are 3.01 Å. There are two shorter (3.51 Å) and four longer (3.54 Å) Mg–Ho bond lengths. Ho is bonded in a 12-coordinate geometry to twelve Mg and four equivalent Ho atoms. There are one shorter (3.68 Å) and three longer (3.69 Å) Ho–Ho bond lengths.
MgHo5 crystallizes in the orthorhombic Amm2 space group. The structure is three-dimensional. Mg is bonded to ten Ho atoms to form distorted MgHo10 cuboctahedra that share corners with four equivalent MgHo10 cuboctahedra, corners with twenty HoHo8Mg4 cuboctahedra, edges with ten HoHo12 cuboctahedra, faces with four equivalent MgHo10 cuboctahedra, and faces with sixteen HoHo12 cuboctahedra. There are a spread of Mg–Ho bond distances ranging from 3.44–3.55 Å. There are five inequivalent Ho sites. In the first Ho site, Ho is bonded to twelve Ho atoms to form HoHo12 cuboctahedra that share corners with eighteen HoHo12 cuboctahedra, edges with eight equivalent MgHo10 cuboctahedra, edges with ten HoHo10Mg2 cuboctahedra, faces with two equivalent MgHo10 cuboctahedra, and faces with eighteen HoHo12 cuboctahedra. There are a spread of Ho–Ho bond distances ranging from 3.44–3.57 Å. In the second Ho site, Ho is bonded to four equivalent Mg and eight Ho atoms to form HoHo8Mg4 cuboctahedra that share corners with four equivalent MgHo10 cuboctahedra, corners with eighteen HoHo12 cuboctahedra, edges with fourteen HoHo12 cuboctahedra, faces with four equivalent MgHo10 cuboctahedra, and faces with sixteen HoHo12 cuboctahedra. There are a spread of Ho–Ho bond distances ranging from 3.44–3.55 Å. In the third Ho site, Ho is bonded to two equivalent Mg and ten Ho atoms to form HoHo10Mg2 cuboctahedra that share corners with eighteen HoHo12 cuboctahedra, edges with eighteen HoHo12 cuboctahedra, faces with six equivalent MgHo10 cuboctahedra, and faces with fourteen HoHo12 cuboctahedra. There are four shorter (3.45 Å) and two longer (3.55 Å) Ho–Ho bond lengths. In the fourth Ho site, Ho is bonded to two equivalent Mg and ten Ho atoms to form HoHo10Mg2 cuboctahedra that share corners with eight equivalent MgHo10 cuboctahedra, corners with twelve HoHo10Mg2 cuboctahedra, an edgeedge with one MgHo10 cuboctahedra, edges with fifteen HoHo12 cuboctahedra, faces with two equivalent MgHo10 cuboctahedra, and faces with eighteen HoHo12 cuboctahedra. There are two shorter (3.52 Å) and two longer (3.55 Å) Ho–Ho bond lengths. In the fifth Ho site, Ho is bonded to two equivalent Mg and ten Ho atoms to form HoHo10Mg2 cuboctahedra that share corners with eight equivalent MgHo10 cuboctahedra, corners with twelve HoHo10Mg2 cuboctahedra, an edgeedge with one MgHo10 cuboctahedra, edges with fifteen HoHo8Mg4 cuboctahedra, faces with two equivalent MgHo10 cuboctahedra, and faces with eighteen HoHo12 cuboctahedra. Both Ho–Ho bond lengths are 3.55 Å.
MgHo3 crystallizes in the tetragonal P4/mmm space group. The structure is three-dimensional. Mg is bonded in a body-centered cubic geometry to eight equivalent Ho atoms. All Mg–Ho bond lengths are 3.30 Å. There are two inequivalent Ho sites. In the first Ho site, Ho is bonded to four equivalent Mg and eight Ho atoms to form a mixture of distorted face, edge, and corner-sharing HoHo8Mg4 cuboctahedra. There are four shorter (3.49 Å) and four longer (3.61 Å) Ho–Ho bond lengths. In the second Ho site, Ho is bonded to twelve Ho atoms to form HoHo12 cuboctahedra that share corners with four equivalent HoHo12 cuboctahedra, edges with sixteen equivalent HoHo8Mg4 cuboctahedra, and faces with sixteen HoHo8Mg4 cuboctahedra. All Ho–Ho bond lengths are 3.61 Å.
Mg2Ho crystallizes in the orthorhombic Ibam space group. The structure is three-dimensional. Mg is bonded in a 11-coordinate geometry to five equivalent Mg and six equivalent Ho atoms. There are a spread of Mg–Mg bond distances ranging from 2.99–3.30 Å. There are two shorter (3.42 Å) and four longer (3.43 Å) Mg–Ho bond lengths. Ho is bonded in a 12-coordinate geometry to twelve equivalent Mg and two equivalent Ho atoms. Both Ho–Ho bond lengths are 3.30 Å.