MgHo5 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded in a 10-coordinate geometry to two equivalent Ho(3), two equivalent Ho(4), two equivalent Ho(5), and four equivalent Ho(2) atoms. There are five inequivalent Ho sites. In the first Ho site, Ho(1) is bonded to two equivalent Ho(1), two equivalent Ho(2), two equivalent Ho(3), two equivalent Ho(5), and four equivalent Ho(4) atoms to form HoHo12 cuboctahedra that share corners with six equivalent Ho(3)Ho10Mg2 cuboctahedra, corners with six equivalent Ho(1)Ho12 cuboctahedra, corners with six equivalent Ho(2)Ho8Mg4 cuboctahedra, edges with three equivalent Ho(3)Ho10Mg2 cuboctahedra, edges with three equivalent Ho(2)Ho8Mg4 cuboctahedra, edges with four equivalent Ho(4)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(3)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(2)Ho8Mg4 cuboctahedra, faces with four equivalent Ho(4)Ho10Mg2 cuboctahedra, faces with four equivalent Ho(1)Ho12 cuboctahedra, and faces with six equivalent Ho(5)Ho10Mg2 cuboctahedra. In the second Ho site, Ho(2) is bonded to four equivalent Mg(1), two equivalent Ho(1), two equivalent Ho(2), two equivalent Ho(3), and two equivalent Ho(4) atoms to form HoHo8Mg4 cuboctahedra that share corners with six equivalent Ho(3)Ho10Mg2 cuboctahedra, corners with six equivalent Ho(1)Ho12 cuboctahedra, corners with six equivalent Ho(2)Ho8Mg4 cuboctahedra, edges with three equivalent Ho(3)Ho10Mg2 cuboctahedra, edges with three equivalent Ho(1)Ho12 cuboctahedra, edges with eight equivalent Ho(5)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(3)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(5)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(1)Ho12 cuboctahedra, faces with four equivalent Ho(2)Ho8Mg4 cuboctahedra, and faces with six equivalent Ho(4)Ho10Mg2 cuboctahedra. In the third Ho site, Ho(3) is bonded to two equivalent Mg(1), two equivalent Ho(1), two equivalent Ho(2), two equivalent Ho(3), and four equivalent Ho(5) atoms to form HoHo10Mg2 cuboctahedra that share corners with six equivalent Ho(3)Ho10Mg2 cuboctahedra, corners with six equivalent Ho(1)Ho12 cuboctahedra, corners with six equivalent Ho(2)Ho8Mg4 cuboctahedra, edges with three equivalent Ho(1)Ho12 cuboctahedra, edges with three equivalent Ho(2)Ho8Mg4 cuboctahedra, edges with four equivalent Ho(5)Ho10Mg2 cuboctahedra, edges with eight equivalent Ho(4)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(4)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(1)Ho12 cuboctahedra, faces with two equivalent Ho(2)Ho8Mg4 cuboctahedra, faces with four equivalent Ho(3)Ho10Mg2 cuboctahedra, and faces with four equivalent Ho(5)Ho10Mg2 cuboctahedra. In the fourth Ho site, Ho(4) is bonded to two equivalent Mg(1), two equivalent Ho(2), two equivalent Ho(4), two equivalent Ho(5), and four equivalent Ho(1) atoms to form HoHo10Mg2 cuboctahedra that share corners with six equivalent Ho(4)Ho10Mg2 cuboctahedra, corners with six equivalent Ho(5)Ho10Mg2 cuboctahedra, edges with three equivalent Ho(5)Ho10Mg2 cuboctahedra, edges with four equivalent Ho(1)Ho12 cuboctahedra, edges with eight equivalent Ho(3)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(3)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(5)Ho10Mg2 cuboctahedra, faces with four equivalent Ho(4)Ho10Mg2 cuboctahedra, faces with four equivalent Ho(1)Ho12 cuboctahedra, and faces with six equivalent Ho(2)Ho8Mg4 cuboctahedra. In the fifth Ho site, Ho(5) is bonded to two equivalent Mg(1), two equivalent Ho(1), two equivalent Ho(4), two equivalent Ho(5), and four equivalent Ho(3) atoms to form HoHo10Mg2 cuboctahedra that share corners with six equivalent Ho(4)Ho10Mg2 cuboctahedra, corners with six equivalent Ho(5)Ho10Mg2 cuboctahedra, edges with three equivalent Ho(4)Ho10Mg2 cuboctahedra, edges with four equivalent Ho(3)Ho10Mg2 cuboctahedra, edges with eight equivalent Ho(2)Ho8Mg4 cuboctahedra, faces with two equivalent Ho(4)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(2)Ho8Mg4 cuboctahedra, faces with four equivalent Ho(3)Ho10Mg2 cuboctahedra, faces with four equivalent Ho(5)Ho10Mg2 cuboctahedra, and faces with six equivalent Ho(1)Ho12 cuboctahedra.
MgHo5 crystallizes in the orthorhombic Amm2 space group. Mg(1) is bonded in a 10-coordinate geometry to two equivalent Ho(3), two equivalent Ho(4), two equivalent Ho(5), and four equivalent Ho(2) atoms. Both Mg(1)-Ho(3) bond lengths are 3.43 Å. Both Mg(1)-Ho(4) bond lengths are 3.56 Å. Both Mg(1)-Ho(5) bond lengths are 3.45 Å. All Mg(1)-Ho(2) bond lengths are 3.46 Å. There are five inequivalent Ho sites. In the first Ho site, Ho(1) is bonded to two equivalent Ho(1), two equivalent Ho(2), two equivalent Ho(3), two equivalent Ho(5), and four equivalent Ho(4) atoms to form HoHo12 cuboctahedra that share corners with six equivalent Ho(3)Ho10Mg2 cuboctahedra, corners with six equivalent Ho(1)Ho12 cuboctahedra, corners with six equivalent Ho(2)Ho8Mg4 cuboctahedra, edges with three equivalent Ho(3)Ho10Mg2 cuboctahedra, edges with three equivalent Ho(2)Ho8Mg4 cuboctahedra, edges with four equivalent Ho(4)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(3)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(2)Ho8Mg4 cuboctahedra, faces with four equivalent Ho(4)Ho10Mg2 cuboctahedra, faces with four equivalent Ho(1)Ho12 cuboctahedra, and faces with six equivalent Ho(5)Ho10Mg2 cuboctahedra. Both Ho(1)-Ho(1) bond lengths are 3.56 Å. Both Ho(1)-Ho(2) bond lengths are 3.58 Å. Both Ho(1)-Ho(3) bond lengths are 3.53 Å. Both Ho(1)-Ho(5) bond lengths are 3.49 Å. All Ho(1)-Ho(4) bond lengths are 3.47 Å. In the second Ho site, Ho(2) is bonded to four equivalent Mg(1), two equivalent Ho(1), two equivalent Ho(2), two equivalent Ho(3), and two equivalent Ho(4) atoms to form HoHo8Mg4 cuboctahedra that share corners with six equivalent Ho(3)Ho10Mg2 cuboctahedra, corners with six equivalent Ho(1)Ho12 cuboctahedra, corners with six equivalent Ho(2)Ho8Mg4 cuboctahedra, edges with three equivalent Ho(3)Ho10Mg2 cuboctahedra, edges with three equivalent Ho(1)Ho12 cuboctahedra, edges with eight equivalent Ho(5)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(3)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(5)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(1)Ho12 cuboctahedra, faces with four equivalent Ho(2)Ho8Mg4 cuboctahedra, and faces with six equivalent Ho(4)Ho10Mg2 cuboctahedra. Both Ho(2)-Ho(2) bond lengths are 3.56 Å. Both Ho(2)-Ho(3) bond lengths are 3.44 Å. Both Ho(2)-Ho(4) bond lengths are 3.52 Å. In the third Ho site, Ho(3) is bonded to two equivalent Mg(1), two equivalent Ho(1), two equivalent Ho(2), two equivalent Ho(3), and four equivalent Ho(5) atoms to form HoHo10Mg2 cuboctahedra that share corners with six equivalent Ho(3)Ho10Mg2 cuboctahedra, corners with six equivalent Ho(1)Ho12 cuboctahedra, corners with six equivalent Ho(2)Ho8Mg4 cuboctahedra, edges with three equivalent Ho(1)Ho12 cuboctahedra, edges with three equivalent Ho(2)Ho8Mg4 cuboctahedra, edges with four equivalent Ho(5)Ho10Mg2 cuboctahedra, edges with eight equivalent Ho(4)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(4)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(1)Ho12 cuboctahedra, faces with two equivalent Ho(2)Ho8Mg4 cuboctahedra, faces with four equivalent Ho(3)Ho10Mg2 cuboctahedra, and faces with four equivalent Ho(5)Ho10Mg2 cuboctahedra. Both Ho(3)-Ho(3) bond lengths are 3.56 Å. All Ho(3)-Ho(5) bond lengths are 3.47 Å. In the fourth Ho site, Ho(4) is bonded to two equivalent Mg(1), two equivalent Ho(2), two equivalent Ho(4), two equivalent Ho(5), and four equivalent Ho(1) atoms to form HoHo10Mg2 cuboctahedra that share corners with six equivalent Ho(4)Ho10Mg2 cuboctahedra, corners with six equivalent Ho(5)Ho10Mg2 cuboctahedra, edges with three equivalent Ho(5)Ho10Mg2 cuboctahedra, edges with four equivalent Ho(1)Ho12 cuboctahedra, edges with eight equivalent Ho(3)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(3)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(5)Ho10Mg2 cuboctahedra, faces with four equivalent Ho(4)Ho10Mg2 cuboctahedra, faces with four equivalent Ho(1)Ho12 cuboctahedra, and faces with six equivalent Ho(2)Ho8Mg4 cuboctahedra. Both Ho(4)-Ho(4) bond lengths are 3.56 Å. Both Ho(4)-Ho(5) bond lengths are 3.53 Å. In the fifth Ho site, Ho(5) is bonded to two equivalent Mg(1), two equivalent Ho(1), two equivalent Ho(4), two equivalent Ho(5), and four equivalent Ho(3) atoms to form HoHo10Mg2 cuboctahedra that share corners with six equivalent Ho(4)Ho10Mg2 cuboctahedra, corners with six equivalent Ho(5)Ho10Mg2 cuboctahedra, edges with three equivalent Ho(4)Ho10Mg2 cuboctahedra, edges with four equivalent Ho(3)Ho10Mg2 cuboctahedra, edges with eight equivalent Ho(2)Ho8Mg4 cuboctahedra, faces with two equivalent Ho(4)Ho10Mg2 cuboctahedra, faces with two equivalent Ho(2)Ho8Mg4 cuboctahedra, faces with four equivalent Ho(3)Ho10Mg2 cuboctahedra, faces with four equivalent Ho(5)Ho10Mg2 cuboctahedra, and faces with six equivalent Ho(1)Ho12 cuboctahedra. Both Ho(5)-Ho(5) bond lengths are 3.56 Å.