Mg5Sc is Magnesium-derived structured and crystallizes in the monoclinic Cm space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Mg(4), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(2), and two equivalent Sc(1) atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent Mg(1)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(3)Mg11Sc cuboctahedra, corners with six equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with two equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(3)Mg11Sc cuboctahedra, edges with three equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with four equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with six equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with two equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(3)Mg11Sc cuboctahedra, faces with three equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with three equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(4)Mg10Sc2 cuboctahedra, and faces with five equivalent Mg(2)Mg10Sc2 cuboctahedra. In the second Mg site, Mg(2) is bonded to one Mg(5), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), three equivalent Mg(1), and two equivalent Sc(1) atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(4)Mg10Sc2 cuboctahedra, corners with six equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with two equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with three equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with four equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with six equivalent Mg(3)Mg11Sc cuboctahedra, faces with two equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(3)Mg11Sc cuboctahedra, faces with three equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(5)Mg9Sc3 cuboctahedra, and faces with five equivalent Mg(1)Mg10Sc2 cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(4), and one Sc(1) atom to form MgMg11Sc cuboctahedra that share corners with six equivalent Mg(1)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(3)Mg11Sc cuboctahedra, corners with six equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with two equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with four equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with six equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with two equivalent Mg(3)Mg11Sc cuboctahedra, faces with three equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with four equivalent Sc(1)Mg10Sc2 cuboctahedra, and faces with five equivalent Mg(4)Mg10Sc2 cuboctahedra. In the fourth Mg site, Mg(4) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), three equivalent Mg(3), and two equivalent Sc(1) atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(4)Mg10Sc2 cuboctahedra, corners with six equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with two equivalent Mg(3)Mg11Sc cuboctahedra, edges with three equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with three equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with four equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with six equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with two equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with three equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(1)Mg10Sc2 cuboctahedra, and faces with five equivalent Mg(3)Mg11Sc cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(2), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), and three equivalent Sc(1) atoms to form MgMg9Sc3 cuboctahedra that share corners with six equivalent Mg(1)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(3)Mg11Sc cuboctahedra, corners with six equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with two equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(3)Mg11Sc cuboctahedra, edges with four equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with six equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with two equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with three equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(3)Mg11Sc cuboctahedra, faces with four equivalent Mg(2)Mg10Sc2 cuboctahedra, and faces with five equivalent Sc(1)Mg10Sc2 cuboctahedra. Sc(1) is bonded to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), three equivalent Mg(5), and two equivalent Sc(1) atoms to form ScMg10Sc2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(4)Mg10Sc2 cuboctahedra, corners with six equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with two equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with three equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with four equivalent Mg(3)Mg11Sc cuboctahedra, edges with six equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with two equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(3)Mg11Sc cuboctahedra, and faces with five equivalent Mg(5)Mg9Sc3 cuboctahedra.
Mg5Sc is Magnesium-derived structured and crystallizes in the monoclinic Cm space group. There are five inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to one Mg(4), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(2), and two equivalent Sc(1) atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent Mg(1)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(3)Mg11Sc cuboctahedra, corners with six equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with two equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(3)Mg11Sc cuboctahedra, edges with three equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with four equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with six equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with two equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(3)Mg11Sc cuboctahedra, faces with three equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with three equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(4)Mg10Sc2 cuboctahedra, and faces with five equivalent Mg(2)Mg10Sc2 cuboctahedra. The Mg(1)-Mg(4) bond length is 3.17 Å. Both Mg(1)-Mg(1) bond lengths are 3.16 Å. Both Mg(1)-Mg(3) bond lengths are 3.22 Å. Both Mg(1)-Mg(5) bond lengths are 3.18 Å. There are two shorter (3.19 Å) and one longer (3.23 Å) Mg(1)-Mg(2) bond length. Both Mg(1)-Sc(1) bond lengths are 3.19 Å. In the second Mg site, Mg(2) is bonded to one Mg(5), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(4), three equivalent Mg(1), and two equivalent Sc(1) atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(4)Mg10Sc2 cuboctahedra, corners with six equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with two equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with three equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with four equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with six equivalent Mg(3)Mg11Sc cuboctahedra, faces with two equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(3)Mg11Sc cuboctahedra, faces with three equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(5)Mg9Sc3 cuboctahedra, and faces with five equivalent Mg(1)Mg10Sc2 cuboctahedra. The Mg(2)-Mg(5) bond length is 3.21 Å. Both Mg(2)-Mg(2) bond lengths are 3.16 Å. Both Mg(2)-Mg(3) bond lengths are 3.21 Å. Both Mg(2)-Mg(4) bond lengths are 3.17 Å. Both Mg(2)-Sc(1) bond lengths are 3.18 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(3), two equivalent Mg(5), three equivalent Mg(4), and one Sc(1) atom to form MgMg11Sc cuboctahedra that share corners with six equivalent Mg(1)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(3)Mg11Sc cuboctahedra, corners with six equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with two equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with four equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with six equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with two equivalent Mg(3)Mg11Sc cuboctahedra, faces with three equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with four equivalent Sc(1)Mg10Sc2 cuboctahedra, and faces with five equivalent Mg(4)Mg10Sc2 cuboctahedra. Both Mg(3)-Mg(3) bond lengths are 3.16 Å. Both Mg(3)-Mg(5) bond lengths are 3.19 Å. There are two shorter (3.19 Å) and one longer (3.21 Å) Mg(3)-Mg(4) bond length. The Mg(3)-Sc(1) bond length is 3.18 Å. In the fourth Mg site, Mg(4) is bonded to one Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), three equivalent Mg(3), and two equivalent Sc(1) atoms to form MgMg10Sc2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(4)Mg10Sc2 cuboctahedra, corners with six equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with two equivalent Mg(3)Mg11Sc cuboctahedra, edges with three equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with three equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with four equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with six equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with two equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with three equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(1)Mg10Sc2 cuboctahedra, and faces with five equivalent Mg(3)Mg11Sc cuboctahedra. Both Mg(4)-Mg(4) bond lengths are 3.16 Å. Both Mg(4)-Mg(5) bond lengths are 3.18 Å. Both Mg(4)-Sc(1) bond lengths are 3.25 Å. In the fifth Mg site, Mg(5) is bonded to one Mg(2), two equivalent Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(5), and three equivalent Sc(1) atoms to form MgMg9Sc3 cuboctahedra that share corners with six equivalent Mg(1)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(3)Mg11Sc cuboctahedra, corners with six equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with two equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(1)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(3)Mg11Sc cuboctahedra, edges with four equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with six equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with two equivalent Mg(5)Mg9Sc3 cuboctahedra, faces with three equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(3)Mg11Sc cuboctahedra, faces with four equivalent Mg(2)Mg10Sc2 cuboctahedra, and faces with five equivalent Sc(1)Mg10Sc2 cuboctahedra. Both Mg(5)-Mg(5) bond lengths are 3.16 Å. There is one shorter (3.20 Å) and two longer (3.23 Å) Mg(5)-Sc(1) bond lengths. Sc(1) is bonded to one Mg(3), two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), three equivalent Mg(5), and two equivalent Sc(1) atoms to form ScMg10Sc2 cuboctahedra that share corners with six equivalent Mg(2)Mg10Sc2 cuboctahedra, corners with six equivalent Mg(4)Mg10Sc2 cuboctahedra, corners with six equivalent Sc(1)Mg10Sc2 cuboctahedra, edges with two equivalent Mg(5)Mg9Sc3 cuboctahedra, edges with three equivalent Mg(2)Mg10Sc2 cuboctahedra, edges with three equivalent Mg(4)Mg10Sc2 cuboctahedra, edges with four equivalent Mg(3)Mg11Sc cuboctahedra, edges with six equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with two equivalent Sc(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(1)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(2)Mg10Sc2 cuboctahedra, faces with three equivalent Mg(4)Mg10Sc2 cuboctahedra, faces with four equivalent Mg(3)Mg11Sc cuboctahedra, and faces with five equivalent Mg(5)Mg9Sc3 cuboctahedra. Both Sc(1)-Sc(1) bond lengths are 3.16 Å.