Mg14CeTi is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ce(1)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ti(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)CeMg11 cuboctahedra. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ti(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Ti cuboctahedra. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Ce(1), and two equivalent Ti(1) atoms to form distorted MgCe2Mg8Ti2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Ti2 cuboctahedra, faces with two equivalent Ti(1)Ce2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Ti cuboctahedra. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, corners with four equivalent Ce(1)Mg10Ti2 cuboctahedra, corners with four equivalent Ti(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Ti cuboctahedra. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ce(1), and one Ti(1) atom to form distorted MgCeMg10Ti cuboctahedra that share corners with four equivalent Mg(7)CeMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Ti cuboctahedra, corners with ten equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(7)CeMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Ti cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Ti2 cuboctahedra,  a faceface with one Ti(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Ti(1) atom to form distorted MgMg11Ti cuboctahedra that share corners with four equivalent Mg(7)CeMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Ti cuboctahedra, corners with eight equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(7)CeMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Ti(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ce(1)Mg10Ti2 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Ti cuboctahedra. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Ce(1) atom to form MgCeMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Ti cuboctahedra, corners with six equivalent Mg(7)CeMg11 cuboctahedra, corners with eight equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(6)Mg11Ti cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Ti(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Ti cuboctahedra. Ce(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ti(1) atoms to form CeMg10Ti2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ce(1)Mg10Ti2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ti(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, and faces with six equivalent Mg(6)Mg11Ti cuboctahedra. Ti(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms to form TiCe2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ti(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, and faces with six equivalent Mg(7)CeMg11 cuboctahedra.
Mg14CeTi is beta-derived structured and crystallizes in the orthorhombic Amm2 space group. There are seven inequivalent Mg sites. In the first Mg site, Mg(1) is bonded to two equivalent Mg(2), two equivalent Mg(6), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ce(1)Mg10Ti2 cuboctahedra, corners with six equivalent Mg(1)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ti(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(7)CeMg11 cuboctahedra. Both Mg(1)-Mg(2) bond lengths are 3.11 Å. Both Mg(1)-Mg(6) bond lengths are 3.26 Å. There are two shorter (3.25 Å) and two longer (3.27 Å) Mg(1)-Mg(4) bond lengths. All Mg(1)-Mg(5) bond lengths are 3.15 Å. In the second Mg site, Mg(2) is bonded to two equivalent Mg(1), two equivalent Mg(7), four equivalent Mg(4), and four equivalent Mg(5) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Ti(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(2)Mg12 cuboctahedra, corners with eight equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, faces with four equivalent Mg(4)Mg12 cuboctahedra, and faces with six equivalent Mg(6)Mg11Ti cuboctahedra. Both Mg(2)-Mg(7) bond lengths are 3.16 Å. There are two shorter (3.25 Å) and two longer (3.27 Å) Mg(2)-Mg(4) bond lengths. All Mg(2)-Mg(5) bond lengths are 3.17 Å. In the third Mg site, Mg(3) is bonded to two equivalent Mg(3), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), two equivalent Ce(1), and two equivalent Ti(1) atoms to form distorted MgCe2Mg8Ti2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with four equivalent Mg(4)Mg12 cuboctahedra, corners with six equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Ti2 cuboctahedra, faces with two equivalent Ti(1)Ce2Mg10 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Ti cuboctahedra. There is one shorter (3.07 Å) and one longer (3.16 Å) Mg(3)-Mg(3) bond length. Both Mg(3)-Mg(5) bond lengths are 3.21 Å. Both Mg(3)-Mg(6) bond lengths are 3.16 Å. Both Mg(3)-Mg(7) bond lengths are 3.26 Å. There is one shorter (3.25 Å) and one longer (3.27 Å) Mg(3)-Ce(1) bond length. There is one shorter (3.17 Å) and one longer (3.35 Å) Mg(3)-Ti(1) bond length. In the fourth Mg site, Mg(4) is bonded to two equivalent Mg(1), two equivalent Mg(2), two equivalent Mg(4), two equivalent Mg(5), two equivalent Mg(6), and two equivalent Mg(7) atoms to form MgMg12 cuboctahedra that share corners with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, corners with four equivalent Ce(1)Mg10Ti2 cuboctahedra, corners with four equivalent Ti(1)Ce2Mg10 cuboctahedra, corners with six equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, and faces with eight equivalent Mg(5)CeMg10Ti cuboctahedra. There is one shorter (3.09 Å) and one longer (3.14 Å) Mg(4)-Mg(4) bond length. Both Mg(4)-Mg(5) bond lengths are 3.17 Å. Both Mg(4)-Mg(6) bond lengths are 3.28 Å. Both Mg(4)-Mg(7) bond lengths are 3.12 Å. In the fifth Mg site, Mg(5) is bonded to one Mg(1), one Mg(2), one Mg(3), one Mg(4), two equivalent Mg(5), two equivalent Mg(6), two equivalent Mg(7), one Ce(1), and one Ti(1) atom to form distorted MgCeMg10Ti cuboctahedra that share corners with four equivalent Mg(7)CeMg11 cuboctahedra, corners with four equivalent Mg(6)Mg11Ti cuboctahedra, corners with ten equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with two equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(7)CeMg11 cuboctahedra, edges with two equivalent Mg(6)Mg11Ti cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Ti2 cuboctahedra,  a faceface with one Ti(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, and faces with four equivalent Mg(4)Mg12 cuboctahedra. There is one shorter (3.06 Å) and one longer (3.16 Å) Mg(5)-Mg(5) bond length. There is one shorter (3.22 Å) and one longer (3.31 Å) Mg(5)-Mg(6) bond length. There is one shorter (3.22 Å) and one longer (3.30 Å) Mg(5)-Mg(7) bond length. The Mg(5)-Ce(1) bond length is 3.26 Å. The Mg(5)-Ti(1) bond length is 3.20 Å. In the sixth Mg site, Mg(6) is bonded to one Mg(1), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(7), four equivalent Mg(5), and one Ti(1) atom to form distorted MgMg11Ti cuboctahedra that share corners with four equivalent Mg(7)CeMg11 cuboctahedra, corners with six equivalent Mg(6)Mg11Ti cuboctahedra, corners with eight equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(7)CeMg11 cuboctahedra, edges with two equivalent Mg(1)Mg12 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(1)Mg12 cuboctahedra,  a faceface with one Ti(1)Ce2Mg10 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(2)Mg12 cuboctahedra, faces with three equivalent Ce(1)Mg10Ti2 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Ti cuboctahedra. Both Mg(6)-Mg(7) bond lengths are 3.12 Å. The Mg(6)-Ti(1) bond length is 3.13 Å. In the seventh Mg site, Mg(7) is bonded to one Mg(2), two equivalent Mg(3), two equivalent Mg(4), two equivalent Mg(6), four equivalent Mg(5), and one Ce(1) atom to form MgCeMg11 cuboctahedra that share corners with four equivalent Mg(6)Mg11Ti cuboctahedra, corners with six equivalent Mg(7)CeMg11 cuboctahedra, corners with eight equivalent Mg(5)CeMg10Ti cuboctahedra, edges with two equivalent Mg(6)Mg11Ti cuboctahedra, edges with two equivalent Mg(2)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(5)CeMg10Ti cuboctahedra, edges with four equivalent Mg(4)Mg12 cuboctahedra,  a faceface with one Mg(2)Mg12 cuboctahedra,  a faceface with one Ce(1)Mg10Ti2 cuboctahedra, faces with two equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(4)Mg12 cuboctahedra, faces with three equivalent Mg(1)Mg12 cuboctahedra, faces with three equivalent Ti(1)Ce2Mg10 cuboctahedra, and faces with four equivalent Mg(5)CeMg10Ti cuboctahedra. The Mg(7)-Ce(1) bond length is 3.27 Å. Ce(1) is bonded to two equivalent Mg(7), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ti(1) atoms to form CeMg10Ti2 cuboctahedra that share corners with four equivalent Mg(1)Mg12 cuboctahedra, corners with six equivalent Ce(1)Mg10Ti2 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ti(1)Ce2Mg10 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(7)CeMg11 cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(7)CeMg11 cuboctahedra, faces with two equivalent Mg(2)Mg12 cuboctahedra, faces with two equivalent Ti(1)Ce2Mg10 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, and faces with six equivalent Mg(6)Mg11Ti cuboctahedra. Both Ce(1)-Ti(1) bond lengths are 3.11 Å. Ti(1) is bonded to two equivalent Mg(6), four equivalent Mg(3), four equivalent Mg(5), and two equivalent Ce(1) atoms to form TiCe2Mg10 cuboctahedra that share corners with four equivalent Mg(2)Mg12 cuboctahedra, corners with six equivalent Ti(1)Ce2Mg10 cuboctahedra, corners with eight equivalent Mg(4)Mg12 cuboctahedra, edges with two equivalent Ce(1)Mg10Ti2 cuboctahedra, edges with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, edges with four equivalent Mg(6)Mg11Ti cuboctahedra, edges with eight equivalent Mg(5)CeMg10Ti cuboctahedra, faces with two equivalent Mg(6)Mg11Ti cuboctahedra, faces with two equivalent Mg(1)Mg12 cuboctahedra, faces with two equivalent Ce(1)Mg10Ti2 cuboctahedra, faces with four equivalent Mg(3)Ce2Mg8Ti2 cuboctahedra, faces with four equivalent Mg(5)CeMg10Ti cuboctahedra, and faces with six equivalent Mg(7)CeMg11 cuboctahedra.